TSTP Solution File: SYO161^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO161^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:50:48 EDT 2022
% Result : Timeout 287.06s 287.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO161^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Mar 11 16:58:19 EST 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.34 Python 2.7.5
% 3.34/3.57 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 3.34/3.57 FOF formula (<kernel.Constant object at 0x161bdd0>, <kernel.DependentProduct object at 0x161b950>) of role type named cP
% 3.34/3.57 Using role type
% 3.34/3.57 Declaring cP:(fofType->Prop)
% 3.34/3.57 FOF formula (((ex fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx))))))->((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))) of role conjecture named cX2125_HALF
% 3.34/3.57 Conjecture to prove = (((ex fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx))))))->((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))):Prop
% 3.34/3.57 Parameter fofType_DUMMY:fofType.
% 3.34/3.57 We need to prove ['(((ex fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx))))))->((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))))']
% 3.34/3.57 Parameter fofType:Type.
% 3.34/3.57 Parameter cP:(fofType->Prop).
% 3.34/3.57 Trying to prove (((ex fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx))))))->((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))))
% 3.34/3.57 Found x00:=(x0 x1):(cP x1)
% 3.34/3.57 Found (x0 x1) as proof of (cP x1)
% 3.34/3.57 Found (x0 x1) as proof of (cP x1)
% 3.34/3.57 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 3.34/3.57 Found x00:=(x0 x1):(cP x1)
% 3.34/3.57 Found (x0 x1) as proof of (cP x1)
% 3.34/3.57 Found (x0 x1) as proof of (cP x1)
% 3.34/3.57 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 3.34/3.57 Found x20:=(x2 x3):(cP x3)
% 3.34/3.57 Found (x2 x3) as proof of (cP x3)
% 3.34/3.57 Found (x2 x3) as proof of (cP x3)
% 3.34/3.57 Found (ex_intro000 (x2 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 3.34/3.57 Found x00:=(x0 x3):(cP x3)
% 3.34/3.57 Found (x0 x3) as proof of (cP x3)
% 3.34/3.57 Found (x0 x3) as proof of (cP x3)
% 3.34/3.57 Found (ex_intro000 (x0 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 3.34/3.57 Found x00:=(x0 x3):(cP x3)
% 3.34/3.57 Found (x0 x3) as proof of (cP x3)
% 3.34/3.57 Found (x0 x3) as proof of (cP x3)
% 3.34/3.57 Found (ex_intro000 (x0 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 3.34/3.57 Found x40:=(x4 Xy):(cP Xy)
% 3.34/3.57 Found (x4 Xy) as proof of (cP Xy)
% 3.34/3.57 Found (x4 Xy) as proof of (cP Xy)
% 3.34/3.57 Found x40:=(x4 x0):(cP x0)
% 3.34/3.57 Found (x4 x0) as proof of (cP x0)
% 3.34/3.57 Found (x4 x0) as proof of (cP x0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:=(x2 x30):(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:=(x2 x30):(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found x20:=(x2 x0):(cP x0)
% 3.34/3.57 Found (x2 x0) as proof of (cP x0)
% 3.34/3.57 Found (x2 x0) as proof of (cP x0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:=(x2 x30):(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Instantiate: Xy:=Xy0:fofType
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x20:=(x2 x30):(cP Xy)
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found (x2 x30) as proof of (cP Xy0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Instantiate: Xy:=x0:fofType
% 3.34/3.57 Found x20 as proof of (cP x0)
% 3.34/3.57 Found x20:=(x2 Xy):(cP Xy)
% 3.34/3.57 Found (x2 Xy) as proof of (cP Xy)
% 3.34/3.57 Found (x2 Xy) as proof of (cP Xy)
% 3.34/3.57 Found x20:=(x2 x0):(cP x0)
% 3.34/3.57 Found (x2 x0) as proof of (cP x0)
% 3.34/3.57 Found (x2 x0) as proof of (cP x0)
% 3.34/3.57 Found x20:(cP Xy)
% 3.34/3.57 Found x20 as proof of (cP Xy0)
% 3.34/3.57 Found x30:(cP x0)
% 3.34/3.57 Instantiate: Xy:=x0:fofType
% 3.34/3.57 Found x30 as proof of (cP Xy)
% 3.34/3.57 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x20:=(x2 x30):(cP Xy)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x20:=(x2 x30):(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found x20 as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found x20 as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Found x20 as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x20:=(x2 x30):(cP Xy)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found x20 as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found x20 as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Found x30 as proof of (cP x0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x30:(cP Xy0)
% 5.01/5.18 Instantiate: Xy0:=Xy:fofType
% 5.01/5.18 Found x30 as proof of (cP Xy)
% 5.01/5.18 Found x40:=(x4 x5):(cP x5)
% 5.01/5.18 Found (x4 x5) as proof of (cP x5)
% 5.01/5.18 Found (x4 x5) as proof of (cP x5)
% 5.01/5.18 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x30 as proof of (cP Xy)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Found x30 as proof of (cP x0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x30:(cP Xy0)
% 5.01/5.18 Instantiate: Xy0:=Xy:fofType
% 5.01/5.18 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (cP Xy)
% 5.01/5.18 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 5.01/5.18 Found x20:=(x2 x30):(cP Xy)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Found x30 as proof of (cP x0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x30:=(x3 x40):(cP Xy0)
% 5.01/5.18 Instantiate: Xy0:=Xy:fofType
% 5.01/5.18 Found (x3 x40) as proof of (cP Xy)
% 5.01/5.18 Found (x3 x40) as proof of (cP Xy)
% 5.01/5.18 Found x00:=(x0 x1):(cP x1)
% 5.01/5.18 Found (x0 x1) as proof of (cP x1)
% 5.01/5.18 Found (x0 x1) as proof of (cP x1)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Found x30 as proof of (cP x0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x6:(cP x5)
% 5.01/5.18 Instantiate: Xy:=x5:fofType
% 5.01/5.18 Found x6 as proof of (cP Xy)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found x20 as proof of (cP Xy0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 5.01/5.18 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 5.01/5.18 Found x00:=(x0 x1):(cP x1)
% 5.01/5.18 Found (x0 x1) as proof of (cP x1)
% 5.01/5.18 Found (x0 x1) as proof of (cP x1)
% 5.01/5.18 Found x00:=(x0 Xy):(cP Xy)
% 5.01/5.18 Found (x0 Xy) as proof of (cP Xy)
% 5.01/5.18 Found (x0 Xy) as proof of (cP Xy)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 5.01/5.18 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 5.01/5.18 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 5.01/5.18 Found x00:=(x0 x1):(cP x1)
% 5.01/5.18 Found (x0 x1) as proof of (cP x1)
% 5.01/5.18 Found (x0 x1) as proof of (cP x1)
% 5.01/5.18 Found x30:=(x3 x40):(cP Xy0)
% 5.01/5.18 Found (x3 x40) as proof of (cP Xy)
% 5.01/5.18 Found (x3 x40) as proof of (cP Xy)
% 5.01/5.18 Found (x3 x40) as proof of (cP Xy)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x30 as proof of (cP Xy)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x20:=(x2 x30):(cP Xy)
% 5.01/5.18 Instantiate: Xy:=Xy0:fofType
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found (x2 x30) as proof of (cP Xy0)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x30 as proof of (cP Xy)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x30:(cP x0)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x30 as proof of (cP Xy)
% 5.01/5.18 Found x20:(cP Xy)
% 5.01/5.18 Instantiate: Xy:=x0:fofType
% 5.01/5.18 Found x20 as proof of (cP x0)
% 5.01/5.18 Found x00:=(x0 Xy):(cP Xy)
% 5.01/5.18 Found (x0 Xy) as proof of (cP Xy)
% 6.67/6.89 Found (x0 Xy) as proof of (cP Xy)
% 6.67/6.89 Found x00:=(x0 x1):(cP x1)
% 6.67/6.89 Found (x0 x1) as proof of (cP x1)
% 6.67/6.89 Found (x0 x1) as proof of (cP x1)
% 6.67/6.89 Found x30:(cP Xy0)
% 6.67/6.89 Instantiate: Xy0:=Xy:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x6:(cP x5)
% 6.67/6.89 Instantiate: Xy:=x5:fofType
% 6.67/6.89 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x20:=(x2 x30):(cP Xy)
% 6.67/6.89 Instantiate: Xy:=Xy0:fofType
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 6.67/6.89 Found x40:(cP x0)
% 6.67/6.89 Found x40 as proof of (cP x0)
% 6.67/6.89 Found (x3 x40) as proof of (cP Xy)
% 6.67/6.89 Found (x3 x40) as proof of (cP Xy)
% 6.67/6.89 Found (x3 x40) as proof of (cP Xy)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x30:(cP Xy0)
% 6.67/6.89 Instantiate: Xy0:=Xy:fofType
% 6.67/6.89 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (cP Xy)
% 6.67/6.89 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 6.67/6.89 Found x20:=(x2 x5):(cP x5)
% 6.67/6.89 Found (x2 x5) as proof of (cP x5)
% 6.67/6.89 Found (x2 x5) as proof of (cP x5)
% 6.67/6.89 Found (ex_intro000 (x2 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x20:=(x2 x30):(cP Xy)
% 6.67/6.89 Instantiate: Xy:=Xy0:fofType
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 6.67/6.89 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 6.67/6.89 Found x6:(cP x5)
% 6.67/6.89 Instantiate: Xy:=x5:fofType
% 6.67/6.89 Found x6 as proof of (cP Xy)
% 6.67/6.89 Found (x3 x6) as proof of (cP x0)
% 6.67/6.89 Found (x3 x6) as proof of (cP x0)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x6:(cP x5)
% 6.67/6.89 Instantiate: Xy:=x5:fofType
% 6.67/6.89 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 6.67/6.89 Found x20:=(x2 x30):(cP Xy)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found x30:(cP Xy0)
% 6.67/6.89 Instantiate: Xy0:=Xy:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x30:=(x3 x40):(cP Xy0)
% 6.67/6.89 Instantiate: Xy0:=Xy:fofType
% 6.67/6.89 Found (x3 x40) as proof of (cP Xy)
% 6.67/6.89 Found (x3 x40) as proof of (cP Xy)
% 6.67/6.89 Found x30:(cP Xy0)
% 6.67/6.89 Instantiate: Xy0:=Xy:fofType
% 6.67/6.89 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (cP Xy)
% 6.67/6.89 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 6.67/6.89 Found x20:=(x2 x30):(cP Xy)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x20:(cP Xy)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x20 as proof of (cP x0)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x30:(cP x0)
% 6.67/6.89 Instantiate: Xy:=x0:fofType
% 6.67/6.89 Found x30 as proof of (cP Xy)
% 6.67/6.89 Found x20:=(x2 x30):(cP Xy)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (x2 x30) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 6.67/6.89 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 6.67/6.89 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Found x30 as proof of (cP x0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found x30:=(x3 x40):(cP Xy0)
% 7.98/8.22 Instantiate: Xy0:=Xy:fofType
% 7.98/8.22 Found (x3 x40) as proof of (cP Xy)
% 7.98/8.22 Found (x3 x40) as proof of (cP Xy)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x6:(cP x5)
% 7.98/8.22 Instantiate: Xy:=x5:fofType
% 7.98/8.22 Found x6 as proof of (cP Xy)
% 7.98/8.22 Found (x3 x6) as proof of (cP x0)
% 7.98/8.22 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 7.98/8.22 Found x20:=(x2 x30):(cP Xy)
% 7.98/8.22 Instantiate: Xy:=Xy0:fofType
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 7.98/8.22 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 7.98/8.22 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 7.98/8.22 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Found x30 as proof of (cP x0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 7.98/8.22 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 7.98/8.22 Found x30:=(x3 x40):(cP Xy0)
% 7.98/8.22 Found (x3 x40) as proof of (cP Xy)
% 7.98/8.22 Found (x3 x40) as proof of (cP Xy)
% 7.98/8.22 Found (x3 x40) as proof of (cP Xy)
% 7.98/8.22 Found x50:(cP Xy0)
% 7.98/8.22 Instantiate: Xy0:=Xy:fofType
% 7.98/8.22 Found x50 as proof of (cP Xy)
% 7.98/8.22 Found x4:(cP x3)
% 7.98/8.22 Instantiate: Xy0:=x3:fofType
% 7.98/8.22 Found x4 as proof of (cP Xy0)
% 7.98/8.22 Found x30:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP x0)
% 7.98/8.22 Found x6:(cP x5)
% 7.98/8.22 Instantiate: Xy:=x5:fofType
% 7.98/8.22 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x21:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=Xy0:fofType
% 7.98/8.22 Found x21 as proof of (cP Xy0)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x20:(cP Xy)
% 7.98/8.22 Instantiate: Xy:=x0:fofType
% 7.98/8.22 Found x20 as proof of (cP x0)
% 7.98/8.22 Found x20:=(x2 x30):(cP Xy)
% 7.98/8.22 Instantiate: Xy:=Xy0:fofType
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 7.98/8.22 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 7.98/8.22 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 7.98/8.22 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 7.98/8.22 Found x30:(cP Xy0)
% 7.98/8.22 Instantiate: Xy0:=Xy:fofType
% 7.98/8.22 Found x30 as proof of (cP Xy)
% 7.98/8.22 Found x6:(cP x5)
% 7.98/8.22 Instantiate: Xy0:=x5:fofType
% 7.98/8.22 Found x6 as proof of (cP Xy0)
% 7.98/8.22 Found x30:(cP x0)
% 7.98/8.22 Found x30 as proof of (cP x0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 7.98/8.22 Found (x2 x30) as proof of (cP Xy0)
% 9.84/10.05 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 9.84/10.05 Found x20:=(x2 x30):(cP Xy)
% 9.84/10.05 Instantiate: Xy:=Xy0:fofType
% 9.84/10.05 Found (x2 x30) as proof of (cP Xy0)
% 9.84/10.05 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 9.84/10.05 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 9.84/10.05 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 9.84/10.05 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 9.84/10.05 Found x50:(cP Xy0)
% 9.84/10.05 Instantiate: Xy0:=Xy:fofType
% 9.84/10.05 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 9.84/10.05 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 9.84/10.05 Found x20:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x20 as proof of (cP x0)
% 9.84/10.05 Found x30:(cP x0)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x30 as proof of (cP Xy)
% 9.84/10.05 Found x21:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=Xy0:fofType
% 9.84/10.05 Found x21 as proof of (cP Xy0)
% 9.84/10.05 Found x20:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x20 as proof of (cP x0)
% 9.84/10.05 Found x20:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x20 as proof of (cP x0)
% 9.84/10.05 Found x30:(cP Xy0)
% 9.84/10.05 Instantiate: Xy0:=Xy:fofType
% 9.84/10.05 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 9.84/10.05 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 9.84/10.05 Found x30:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x30 as proof of (cP x0)
% 9.84/10.05 Found x30:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x30 as proof of (cP x0)
% 9.84/10.05 Found x40:(cP x0)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x40 as proof of (cP Xy)
% 9.84/10.05 Found x6:(cP x5)
% 9.84/10.05 Instantiate: Xy:=x5:fofType
% 9.84/10.05 Found x6 as proof of (cP Xy)
% 9.84/10.05 Found (x3 x6) as proof of (cP x0)
% 9.84/10.05 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 9.84/10.05 Found x00:=(x0 x5):(cP x5)
% 9.84/10.05 Found (x0 x5) as proof of (cP x5)
% 9.84/10.05 Found (x0 x5) as proof of (cP x5)
% 9.84/10.05 Found (ex_intro000 (x0 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 9.84/10.05 Found x40:(cP x1)
% 9.84/10.05 Found x40 as proof of (cP x1)
% 9.84/10.05 Found (x3 x40) as proof of (cP Xy)
% 9.84/10.05 Found (x3 x40) as proof of (cP Xy)
% 9.84/10.05 Found (x3 x40) as proof of (cP Xy)
% 9.84/10.05 Found x30:=(x3 x40):(cP Xy0)
% 9.84/10.05 Found (x3 x40) as proof of (cP Xy)
% 9.84/10.05 Found (x3 x40) as proof of (cP Xy)
% 9.84/10.05 Found (x3 x40) as proof of (cP Xy)
% 9.84/10.05 Found x30:(cP Xy0)
% 9.84/10.05 Instantiate: Xy0:=Xy:fofType
% 9.84/10.05 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 9.84/10.05 Found x6:(cP x5)
% 9.84/10.05 Instantiate: Xy:=x5:fofType
% 9.84/10.05 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 9.84/10.05 Found x20:=(x2 x30):(cP Xy)
% 9.84/10.05 Instantiate: Xy:=Xy0:fofType
% 9.84/10.05 Found (x2 x30) as proof of (cP Xy0)
% 9.84/10.05 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 9.84/10.05 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 9.84/10.05 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 9.84/10.05 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 9.84/10.05 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 9.84/10.05 Found x30:(cP x0)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x30 as proof of (cP Xy)
% 9.84/10.05 Found x21:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=Xy0:fofType
% 9.84/10.05 Found x21 as proof of (cP Xy0)
% 9.84/10.05 Found x20:(cP Xy)
% 9.84/10.05 Instantiate: Xy:=x0:fofType
% 9.84/10.05 Found x20 as proof of (cP x0)
% 9.84/10.05 Found x50:=(x5 x60):(cP Xy0)
% 9.84/10.05 Instantiate: Xy0:=Xy:fofType
% 9.84/10.05 Found (x5 x60) as proof of (cP Xy)
% 9.84/10.05 Found (x5 x60) as proof of (cP Xy)
% 9.84/10.05 Found x20:=(x2 x31):(cP Xy)
% 9.84/10.05 Instantiate: Xy:=Xy0:fofType
% 9.84/10.05 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x30:=(x3 x40):(cP Xy0)
% 11.15/11.34 Instantiate: Xy0:=Xy:fofType
% 11.15/11.34 Found (x3 x40) as proof of (cP Xy)
% 11.15/11.34 Found (x3 x40) as proof of (cP Xy)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x20 as proof of (cP x0)
% 11.15/11.34 Found x00:=(x0 x5):(cP x5)
% 11.15/11.34 Found (x0 x5) as proof of (cP x5)
% 11.15/11.34 Found (x0 x5) as proof of (cP x5)
% 11.15/11.34 Found (ex_intro000 (x0 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x40:(cP x1)
% 11.15/11.34 Found x40 as proof of (cP x1)
% 11.15/11.34 Found (x3 x40) as proof of (cP Xy)
% 11.15/11.34 Found (x3 x40) as proof of (cP Xy)
% 11.15/11.34 Found (x3 x40) as proof of (cP Xy)
% 11.15/11.34 Found x20:(cP Xy)
% 11.15/11.34 Instantiate: x5:=Xy:fofType
% 11.15/11.34 Found x20 as proof of (cP x5)
% 11.15/11.34 Found (ex_intro000 x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found ((ex_intro00 Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 11.15/11.34 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 11.15/11.34 Found x30:(cP x0)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x30 as proof of (cP Xy)
% 11.15/11.34 Found x20:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x20 as proof of (cP x0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x20 as proof of (cP x0)
% 11.15/11.34 Found x30:(cP x0)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x30 as proof of (cP Xy)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x30:(cP x0)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x30 as proof of (cP Xy)
% 11.15/11.34 Found x20:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x20 as proof of (cP x0)
% 11.15/11.34 Found x30:(cP x0)
% 11.15/11.34 Instantiate: Xy:=x0:fofType
% 11.15/11.34 Found x30 as proof of (cP Xy)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x21:(cP Xy)
% 11.15/11.34 Instantiate: Xy:=Xy0:fofType
% 11.15/11.34 Found x21 as proof of (cP Xy0)
% 11.15/11.34 Found x6:(cP x5)
% 11.15/11.34 Instantiate: Xy:=x5:fofType
% 11.15/11.34 Found x6 as proof of (cP Xy)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x20:=(x2 x31):(cP Xy)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.15/11.34 Found x31:(cP x0)
% 11.15/11.34 Found x31 as proof of (cP x0)
% 11.15/11.34 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x6:(cP x5)
% 11.47/11.68 Instantiate: Xy:=x5:fofType
% 11.47/11.68 Found x6 as proof of (cP Xy)
% 11.47/11.68 Found x21:(cP Xy)
% 11.47/11.68 Instantiate: Xy:=Xy0:fofType
% 11.47/11.68 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 11.47/11.68 Found x20:=(x2 x31):(cP Xy)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x31:(cP x0)
% 11.47/11.68 Found x31 as proof of (cP x0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x21:(cP Xy)
% 11.47/11.68 Instantiate: Xy:=Xy0:fofType
% 11.47/11.68 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 11.47/11.68 Found x20:=(x2 x31):(cP Xy)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x6:(cP x5)
% 11.47/11.68 Instantiate: Xy:=x5:fofType
% 11.47/11.68 Found x6 as proof of (cP Xy)
% 11.47/11.68 Found (x3 x6) as proof of (cP x0)
% 11.47/11.68 Found (x3 x6) as proof of (cP x0)
% 11.47/11.68 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 11.47/11.68 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 11.47/11.68 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 11.47/11.68 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 11.47/11.68 Found ((and_rect1 (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 11.47/11.68 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 11.47/11.68 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6))))) as proof of (cP Xy0)
% 11.47/11.68 Found x20:=(x2 x31):(cP Xy)
% 11.47/11.68 Instantiate: Xy:=Xy0:fofType
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x31:(cP x0)
% 11.47/11.68 Found x31 as proof of (cP x0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x31:(cP x0)
% 11.47/11.68 Found x31 as proof of (cP x0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 x31) as proof of (cP Xy0)
% 11.47/11.68 Found x21:(cP Xy)
% 11.47/11.68 Instantiate: Xy:=Xy0:fofType
% 11.47/11.68 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 11.47/11.68 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 11.47/11.68 Found x8:(cP x7)
% 11.47/11.68 Instantiate: Xy1:=x7:fofType
% 11.47/11.68 Found x8 as proof of (cP Xy1)
% 11.47/11.68 Found (x6 x8) as proof of (cP x0)
% 11.47/11.68 Found (x6 x8) as proof of (cP x0)
% 11.47/11.68 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 11.47/11.68 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x8:(cP x7))=> (x2 (x6 x8))) as proof of (cP Xy0)
% 11.47/11.68 Found x8:(cP x7)
% 11.47/11.68 Instantiate: Xy:=x7:fofType
% 11.47/11.68 Found x8 as proof of (cP Xy)
% 11.47/11.68 Found (x3 x8) as proof of (cP x0)
% 11.47/11.68 Found (x3 x8) as proof of (cP x0)
% 11.47/11.68 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 11.47/11.68 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 11.47/11.68 Found (fun (x8:(cP x7))=> (x5 (x3 x8))) as proof of (cP Xy0)
% 11.47/11.68 Found x6:(cP x5)
% 11.47/11.68 Instantiate: Xy1:=x5:fofType
% 11.47/11.68 Found x6 as proof of (cP Xy1)
% 11.47/11.68 Found (x8 x6) as proof of (cP x0)
% 11.47/11.68 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 11.47/11.68 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 11.47/11.68 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 11.64/11.82 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.64/11.82 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.64/11.82 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.64/11.82 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.64/11.82 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.64/11.82 Found (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP Xy0)
% 11.64/11.82 Found (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP Xy0)
% 11.64/11.82 Found (fun (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP Xy0)
% 11.64/11.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of ((cP x5)->(cP Xy0))
% 11.64/11.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 11.64/11.82 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 11.64/11.82 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 11.64/11.82 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 11.64/11.82 Found x20:(cP Xy)
% 11.64/11.82 Instantiate: Xy:=Xy0:fofType
% 11.64/11.82 Found x20 as proof of (cP Xy0)
% 11.64/11.82 Found x8:(cP x7)
% 11.64/11.82 Instantiate: Xy:=x7:fofType
% 11.64/11.82 Found x8 as proof of (cP Xy)
% 11.64/11.82 Found (x3 x8) as proof of (cP x0)
% 11.64/11.82 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 11.64/11.82 Found x8:(cP x7)
% 11.64/11.82 Instantiate: Xy1:=x7:fofType
% 11.64/11.82 Found x8 as proof of (cP Xy1)
% 11.64/11.82 Found (x6 x8) as proof of (cP x0)
% 11.64/11.82 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 11.64/11.82 Found x31:(cP x0)
% 11.64/11.82 Found x31 as proof of (cP x0)
% 11.64/11.82 Found (x2 x31) as proof of (cP Xy0)
% 11.64/11.82 Found (x2 x31) as proof of (cP Xy0)
% 11.64/11.82 Found x6:(cP x5)
% 11.64/11.82 Instantiate: Xy1:=x5:fofType
% 11.64/11.82 Found x6 as proof of (cP Xy1)
% 11.64/11.82 Found (x8 x6) as proof of (cP x0)
% 11.64/11.82 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 11.64/11.82 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 11.68/11.91 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 11.68/11.91 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.68/11.91 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.68/11.91 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.68/11.91 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 11.68/11.91 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 11.68/11.91 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 11.68/11.91 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 11.68/11.91 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 11.68/11.91 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 11.68/11.91 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 11.68/11.91 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 11.68/11.91 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 11.68/11.91 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 11.68/11.91 Found x8:(cP x7)
% 11.68/11.91 Instantiate: Xy:=x7:fofType
% 11.68/11.91 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 11.68/11.91 Found x8:(cP x7)
% 11.68/11.91 Instantiate: Xy1:=x7:fofType
% 11.68/11.91 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 13.94/14.10 Found x20:(cP Xy)
% 13.94/14.10 Instantiate: Xy:=Xy0:fofType
% 13.94/14.10 Found x20 as proof of (cP Xy0)
% 13.94/14.10 Found x31:(cP x0)
% 13.94/14.10 Found x31 as proof of (cP x0)
% 13.94/14.10 Found (x2 x31) as proof of (cP Xy0)
% 13.94/14.10 Found (x2 x31) as proof of (cP Xy0)
% 13.94/14.10 Found x30:(cP x0)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 13.94/14.10 Found x6:(cP x5)
% 13.94/14.10 Instantiate: Xy:=x5:fofType
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 13.94/14.10 Found x50:(cP Xy1)
% 13.94/14.10 Instantiate: Xy1:=Xy0:fofType
% 13.94/14.10 Found x50 as proof of (cP Xy0)
% 13.94/14.10 Found x20:(cP Xy)
% 13.94/14.10 Instantiate: Xy:=Xy0:fofType
% 13.94/14.10 Found x20 as proof of (cP Xy0)
% 13.94/14.10 Found x30:=(x3 x40):(cP Xy0)
% 13.94/14.10 Instantiate: Xy0:=Xy:fofType
% 13.94/14.10 Found (x3 x40) as proof of (cP Xy)
% 13.94/14.10 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 13.94/14.10 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 13.94/14.10 Found x21:(cP Xy)
% 13.94/14.10 Instantiate: Xy:=x0:fofType
% 13.94/14.10 Found x21 as proof of (cP x0)
% 13.94/14.10 Found x6:(cP x5)
% 13.94/14.10 Instantiate: Xy:=x5:fofType
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 13.94/14.10 Found x30:(cP x0)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 13.94/14.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 13.94/14.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 13.94/14.10 Found x20:(cP Xy)
% 13.94/14.10 Instantiate: Xy:=Xy0:fofType
% 13.94/14.10 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 13.94/14.10 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 13.94/14.10 Found x50:(cP Xy1)
% 13.94/14.10 Instantiate: Xy1:=Xy0:fofType
% 13.94/14.10 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 13.94/14.10 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 13.94/14.10 Found x30:(cP x0)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 13.94/14.10 Found x6:(cP x5)
% 13.94/14.10 Instantiate: Xy:=x5:fofType
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 13.94/14.10 Found x30:=(x3 x40):(cP Xy0)
% 13.94/14.10 Instantiate: Xy0:=Xy:fofType
% 13.94/14.10 Found (x3 x40) as proof of (cP Xy)
% 13.94/14.10 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 13.94/14.10 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 13.94/14.10 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 13.94/14.10 Found x4:(cP x3)
% 13.94/14.10 Instantiate: Xy0:=x3:fofType
% 13.94/14.10 Found x4 as proof of (cP Xy0)
% 13.94/14.10 Found (x6 x4) as proof of (cP x0)
% 13.94/14.10 Found (x6 x4) as proof of (cP x0)
% 13.94/14.10 Found x21:(cP Xy)
% 13.94/14.10 Instantiate: Xy:=x0:fofType
% 13.94/14.10 Found x21 as proof of (cP x0)
% 13.94/14.10 Found x31:(cP x0)
% 13.94/14.10 Instantiate: Xy:=x0:fofType
% 13.94/14.10 Found x31 as proof of (cP Xy)
% 13.94/14.10 Found x30:(cP Xy0)
% 13.94/14.10 Instantiate: Xy0:=x0:fofType
% 13.94/14.10 Found x30 as proof of (cP x0)
% 13.94/14.10 Found x50:=(x5 x60):(cP Xy0)
% 13.94/14.10 Found (x5 x60) as proof of (cP Xy)
% 13.94/14.10 Found (x5 x60) as proof of (cP Xy)
% 13.94/14.10 Found (x5 x60) as proof of (cP Xy)
% 13.94/14.10 Found x20:(cP Xy)
% 13.94/14.10 Instantiate: Xy:=Xy0:fofType
% 13.94/14.10 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 13.94/14.10 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 13.94/14.10 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 13.94/14.10 Found x6:(cP x5)
% 13.94/14.10 Instantiate: Xy0:=x5:fofType
% 13.94/14.10 Found x6 as proof of (cP Xy0)
% 13.94/14.10 Found (x4 x6) as proof of (cP x0)
% 13.94/14.10 Found (x4 x6) as proof of (cP x0)
% 13.94/14.10 Found x60:=(x6 Xy0):(cP Xy0)
% 13.94/14.10 Found (x6 Xy0) as proof of (cP Xy0)
% 13.94/14.10 Found (x6 Xy0) as proof of (cP Xy0)
% 13.94/14.10 Found x60:=(x6 x0):(cP x0)
% 13.94/14.10 Found (x6 x0) as proof of (cP x0)
% 13.94/14.10 Found (x6 x0) as proof of (cP x0)
% 13.94/14.10 Found x60:=(x6 x0):(cP x0)
% 13.94/14.10 Found (x6 x0) as proof of (cP x0)
% 13.94/14.10 Found (x6 x0) as proof of (cP x0)
% 13.94/14.10 Found x60:=(x6 Xy):(cP Xy)
% 13.94/14.10 Found (x6 Xy) as proof of (cP Xy)
% 13.94/14.10 Found (x6 Xy) as proof of (cP Xy)
% 13.94/14.10 Found x6:(cP x5)
% 13.94/14.10 Instantiate: Xy:=x5:fofType
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 13.94/14.10 Found x30:(cP x0)
% 13.94/14.10 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 13.94/14.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 13.94/14.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 13.94/14.10 Found x6:(cP x5)
% 13.94/14.10 Instantiate: Xy0:=x5:fofType
% 13.94/14.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 16.64/16.85 Found x30:=(x3 x40):(cP Xy0)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x0:fofType
% 16.64/16.85 Found x21 as proof of (cP x0)
% 16.64/16.85 Found x20:=(x2 x60):(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found (x2 x60) as proof of (cP Xy0)
% 16.64/16.85 Found (x2 x60) as proof of (cP Xy0)
% 16.64/16.85 Found x50:=(x5 x60):(cP Xy1)
% 16.64/16.85 Instantiate: Xy1:=Xy0:fofType
% 16.64/16.85 Found (x5 x60) as proof of (cP Xy0)
% 16.64/16.85 Found (x5 x60) as proof of (cP Xy0)
% 16.64/16.85 Found x50:=(x5 x30):(cP Xy1)
% 16.64/16.85 Instantiate: Xy1:=Xy0:fofType
% 16.64/16.85 Found (x5 x30) as proof of (cP Xy0)
% 16.64/16.85 Found (x5 x30) as proof of (cP Xy0)
% 16.64/16.85 Found x20:=(x2 x30):(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found (x2 x30) as proof of (cP Xy0)
% 16.64/16.85 Found (x2 x30) as proof of (cP Xy0)
% 16.64/16.85 Found x30:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x1:fofType
% 16.64/16.85 Found x30 as proof of (cP x1)
% 16.64/16.85 Found x20:=(x2 x31):(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found (x2 x31) as proof of (cP Xy0)
% 16.64/16.85 Found (x2 x31) as proof of (cP Xy0)
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x0:fofType
% 16.64/16.85 Found x21 as proof of (cP x0)
% 16.64/16.85 Found x30:=(x3 x40):(cP Xy0)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 16.64/16.85 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x0:fofType
% 16.64/16.85 Found x21 as proof of (cP x0)
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Found x21 as proof of (cP Xy0)
% 16.64/16.85 Found x20:=(x2 x30):(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found (x2 x30) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 16.64/16.85 Found x40:(cP x0)
% 16.64/16.85 Instantiate: Xy0:=x0:fofType
% 16.64/16.85 Found x40 as proof of (cP Xy0)
% 16.64/16.85 Found x50:=(x5 x30):(cP Xy1)
% 16.64/16.85 Instantiate: Xy1:=Xy0:fofType
% 16.64/16.85 Found (x5 x30) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 16.64/16.85 Found x20:=(x2 x31):(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found (x2 x31) as proof of (cP Xy0)
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found x21 as proof of (cP Xy0)
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x0:fofType
% 16.64/16.85 Found x21 as proof of (cP x0)
% 16.64/16.85 Found x31:(cP x0)
% 16.64/16.85 Instantiate: Xy:=x0:fofType
% 16.64/16.85 Found x31 as proof of (cP Xy)
% 16.64/16.85 Found x40:(cP Xy0)
% 16.64/16.85 Instantiate: Xy0:=Xy1:fofType
% 16.64/16.85 Found x40 as proof of (cP Xy1)
% 16.64/16.85 Found x30:=(x3 x40):(cP Xy0)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found (x3 x40) as proof of (cP Xy)
% 16.64/16.85 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 16.64/16.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 16.64/16.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 16.64/16.85 Found x20:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy1:fofType
% 16.64/16.85 Found x20 as proof of (cP Xy1)
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Found x21 as proof of (cP Xy0)
% 16.64/16.85 Found x60:(cP x0)
% 16.64/16.85 Found x60 as proof of (cP x0)
% 16.64/16.85 Found (x5 x60) as proof of (cP Xy)
% 16.64/16.85 Found (x5 x60) as proof of (cP Xy)
% 16.64/16.85 Found (x5 x60) as proof of (cP Xy)
% 16.64/16.85 Found x20:=(x2 x30):(cP Xy)
% 16.64/16.85 Instantiate: Xy:=Xy0:fofType
% 16.64/16.85 Found (x2 x30) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 16.64/16.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 16.64/16.85 Found x50:=(x5 x30):(cP Xy1)
% 16.64/16.85 Instantiate: Xy1:=Xy0:fofType
% 16.64/16.85 Found (x5 x30) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 16.64/16.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 16.64/16.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 16.64/16.85 Found x21:(cP Xy)
% 16.64/16.85 Found x21 as proof of (cP Xy0)
% 16.64/16.85 Found x30:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x1:fofType
% 16.64/16.85 Found x30 as proof of (cP x1)
% 16.64/16.85 Found x30:(cP Xy)
% 16.64/16.85 Instantiate: Xy:=x1:fofType
% 16.64/16.85 Found x30 as proof of (cP x1)
% 16.64/16.85 Found x40:(cP x1)
% 16.64/16.85 Instantiate: Xy:=x1:fofType
% 16.64/16.85 Found x40 as proof of (cP Xy)
% 18.18/18.36 Found x50:=(x5 x30):(cP Xy1)
% 18.18/18.36 Found (x5 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (x5 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (x5 x30) as proof of (cP Xy0)
% 18.18/18.36 Found x50:=(x5 x60):(cP Xy1)
% 18.18/18.36 Found (x5 x60) as proof of (cP Xy0)
% 18.18/18.36 Found (x5 x60) as proof of (cP Xy0)
% 18.18/18.36 Found (x5 x60) as proof of (cP Xy0)
% 18.18/18.36 Found x20:=(x2 x30):(cP Xy)
% 18.18/18.36 Found (x2 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (x2 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (x2 x30) as proof of (cP Xy0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x20:=(x2 x60):(cP Xy)
% 18.18/18.36 Found (x2 x60) as proof of (cP Xy0)
% 18.18/18.36 Found (x2 x60) as proof of (cP Xy0)
% 18.18/18.36 Found (x2 x60) as proof of (cP Xy0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x20:=(x2 x31):(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found (x2 x31) as proof of (cP Xy0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=x0:fofType
% 18.18/18.36 Found x21 as proof of (cP x0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x40:(cP x0)
% 18.18/18.36 Found x40 as proof of (cP x0)
% 18.18/18.36 Found (x3 x40) as proof of (cP Xy)
% 18.18/18.36 Found (x3 x40) as proof of (cP Xy)
% 18.18/18.36 Found (x3 x40) as proof of (cP Xy)
% 18.18/18.36 Found x50:(cP Xy0)
% 18.18/18.36 Instantiate: Xy0:=Xy:fofType
% 18.18/18.36 Found x50 as proof of (cP Xy)
% 18.18/18.36 Found x2:(cP x1)
% 18.18/18.36 Instantiate: Xy0:=x1:fofType
% 18.18/18.36 Found x2 as proof of (cP Xy0)
% 18.18/18.36 Found x4:(cP x3)
% 18.18/18.36 Instantiate: Xy0:=x3:fofType
% 18.18/18.36 Found x4 as proof of (cP Xy0)
% 18.18/18.36 Found x50:(cP Xy0)
% 18.18/18.36 Instantiate: Xy0:=Xy:fofType
% 18.18/18.36 Found x50 as proof of (cP Xy)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x31:(cP Xy0)
% 18.18/18.36 Instantiate: Xy0:=Xy:fofType
% 18.18/18.36 Found (fun (x4:((cP Xy0)->(cP x0)))=> x31) as proof of (cP Xy)
% 18.18/18.36 Found (fun (x4:((cP Xy0)->(cP x0)))=> x31) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x30:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=x1:fofType
% 18.18/18.36 Found x30 as proof of (cP x1)
% 18.18/18.36 Found x50:=(x5 x30):(cP Xy1)
% 18.18/18.36 Found (x5 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (x5 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 18.18/18.36 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 18.18/18.36 Found x20:=(x2 x30):(cP Xy)
% 18.18/18.36 Found (x2 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (x2 x30) as proof of (cP Xy0)
% 18.18/18.36 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 18.18/18.36 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 18.18/18.36 Found x30:(cP Xy0)
% 18.18/18.36 Instantiate: Xy0:=Xy:fofType
% 18.18/18.36 Found x30 as proof of (cP Xy)
% 18.18/18.36 Found x6:(cP x5)
% 18.18/18.36 Instantiate: Xy0:=x5:fofType
% 18.18/18.36 Found x6 as proof of (cP Xy0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=x0:fofType
% 18.18/18.36 Found x21 as proof of (cP x0)
% 18.18/18.36 Found x21:(cP Xy)
% 18.18/18.36 Instantiate: Xy:=Xy0:fofType
% 18.18/18.36 Found x21 as proof of (cP Xy0)
% 18.18/18.36 Found x30:=(x3 x40):(cP Xy0)
% 18.18/18.36 Instantiate: Xy0:=Xy:fofType
% 18.18/18.36 Found (x3 x40) as proof of (cP Xy)
% 18.18/18.36 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 18.18/18.36 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 18.18/18.36 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 18.18/18.36 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 18.18/18.36 Found ((ex_ind1 (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 18.18/18.36 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x2)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 18.18/18.36 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x2)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 18.18/18.36 Found x40:(cP x0)
% 18.18/18.36 Found x40 as proof of (cP x0)
% 18.18/18.36 Found (x3 x40) as proof of (cP Xy)
% 18.18/18.36 Found (x3 x40) as proof of (cP Xy)
% 18.18/18.36 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 18.18/18.36 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 18.18/18.36 Found x50:(cP Xy0)
% 18.18/18.36 Instantiate: Xy0:=Xy:fofType
% 18.18/18.36 Found (fun (x6:((cP Xy0)->(cP x3)))=> x50) as proof of (cP Xy)
% 18.18/18.36 Found (fun (x6:((cP Xy0)->(cP x3)))=> x50) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 18.18/18.36 Found x50:(cP Xy0)
% 19.92/20.09 Instantiate: Xy0:=Xy:fofType
% 19.92/20.09 Found (fun (x6:((cP Xy0)->(cP x1)))=> x50) as proof of (cP Xy)
% 19.92/20.09 Found (fun (x6:((cP Xy0)->(cP x1)))=> x50) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 19.92/20.09 Found x21:(cP Xy)
% 19.92/20.09 Instantiate: Xy:=Xy0:fofType
% 19.92/20.09 Found x21 as proof of (cP Xy0)
% 19.92/20.09 Found x60:(cP x0)
% 19.92/20.09 Found x60 as proof of (cP x0)
% 19.92/20.09 Found (x2 x60) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x60) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x60) as proof of (cP Xy0)
% 19.92/20.09 Found x21:(cP Xy)
% 19.92/20.09 Found x21 as proof of (cP Xy0)
% 19.92/20.09 Found x30:(cP x0)
% 19.92/20.09 Found x30 as proof of (cP x0)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found x30:(cP x0)
% 19.92/20.09 Found x30 as proof of (cP x0)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found x60:(cP x0)
% 19.92/20.09 Found x60 as proof of (cP x0)
% 19.92/20.09 Found (x5 x60) as proof of (cP Xy0)
% 19.92/20.09 Found (x5 x60) as proof of (cP Xy0)
% 19.92/20.09 Found (x5 x60) as proof of (cP Xy0)
% 19.92/20.09 Found x20:=(x2 x30):(cP Xy)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 19.92/20.09 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 19.92/20.09 Found x50:=(x5 x30):(cP Xy1)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 19.92/20.09 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 19.92/20.09 Found x30:(cP Xy0)
% 19.92/20.09 Instantiate: Xy0:=Xy:fofType
% 19.92/20.09 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 19.92/20.09 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 19.92/20.09 Found x40:(cP x0)
% 19.92/20.09 Found x40 as proof of (cP x0)
% 19.92/20.09 Found (x3 x40) as proof of (cP Xy)
% 19.92/20.09 Found (x3 x40) as proof of (cP Xy)
% 19.92/20.09 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 19.92/20.09 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 19.92/20.09 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 19.92/20.09 Found x00:=(x0 x1):(cP x1)
% 19.92/20.09 Found (x0 x1) as proof of (cP x1)
% 19.92/20.09 Found (x0 x1) as proof of (cP x1)
% 19.92/20.09 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 19.92/20.09 Found x20:=(x2 x31):(cP Xy)
% 19.92/20.09 Found (x2 x31) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x31) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x31) as proof of (cP Xy0)
% 19.92/20.09 Found x20:=(x2 x31):(cP Xy)
% 19.92/20.09 Instantiate: Xy:=Xy0:fofType
% 19.92/20.09 Found (x2 x31) as proof of (cP Xy0)
% 19.92/20.09 Found x21:(cP Xy)
% 19.92/20.09 Instantiate: Xy:=Xy0:fofType
% 19.92/20.09 Found x21 as proof of (cP Xy0)
% 19.92/20.09 Found x21:(cP Xy)
% 19.92/20.09 Instantiate: Xy:=Xy0:fofType
% 19.92/20.09 Found x21 as proof of (cP Xy0)
% 19.92/20.09 Found x30:(cP Xy)
% 19.92/20.09 Instantiate: Xy:=x1:fofType
% 19.92/20.09 Found x30 as proof of (cP x1)
% 19.92/20.09 Found x30:(cP x0)
% 19.92/20.09 Found x30 as proof of (cP x0)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x2 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 19.92/20.09 Found x30:(cP x0)
% 19.92/20.09 Found x30 as proof of (cP x0)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (x5 x30) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 19.92/20.09 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 19.92/20.09 Found x40:(cP x1)
% 19.92/20.09 Instantiate: Xy:=x1:fofType
% 19.92/20.09 Found x40 as proof of (cP Xy)
% 19.92/20.09 Found x30:(cP Xy)
% 19.92/20.09 Instantiate: Xy:=x1:fofType
% 19.92/20.09 Found x30 as proof of (cP x1)
% 19.92/20.09 Found x21:(cP Xy)
% 19.92/20.09 Instantiate: Xy:=x0:fofType
% 19.92/20.09 Found x21 as proof of (cP x0)
% 19.92/20.09 Found x21:(cP Xy)
% 19.92/20.09 Found x21 as proof of (cP Xy0)
% 19.92/20.09 Found x31:(cP x0)
% 19.92/20.09 Instantiate: Xy:=x0:fofType
% 19.92/20.09 Found x31 as proof of (cP Xy)
% 19.92/20.09 Found x30:(cP Xy0)
% 19.92/20.09 Instantiate: Xy0:=Xy:fofType
% 19.92/20.09 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 19.92/20.09 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 19.92/20.09 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 21.04/21.20 Found x50:(cP Xy0)
% 21.04/21.20 Instantiate: Xy0:=Xy:fofType
% 21.04/21.20 Found x50 as proof of (cP Xy)
% 21.04/21.20 Found x2:(cP x1)
% 21.04/21.20 Instantiate: Xy0:=x1:fofType
% 21.04/21.20 Found x2 as proof of (cP Xy0)
% 21.04/21.20 Found x4:(cP x3)
% 21.04/21.20 Instantiate: Xy0:=x3:fofType
% 21.04/21.20 Found x4 as proof of (cP Xy0)
% 21.04/21.20 Found x50:(cP Xy0)
% 21.04/21.20 Instantiate: Xy0:=Xy:fofType
% 21.04/21.20 Found x50 as proof of (cP Xy)
% 21.04/21.20 Found x20:=(x2 x31):(cP Xy)
% 21.04/21.20 Found (x2 x31) as proof of (cP Xy0)
% 21.04/21.20 Found (x2 x31) as proof of (cP Xy0)
% 21.04/21.20 Found x21:(cP Xy)
% 21.04/21.20 Instantiate: Xy:=Xy0:fofType
% 21.04/21.20 Found x21 as proof of (cP Xy0)
% 21.04/21.20 Found x30:=(x3 x41):(cP Xy0)
% 21.04/21.20 Instantiate: Xy0:=Xy:fofType
% 21.04/21.20 Found (x3 x41) as proof of (cP Xy)
% 21.04/21.20 Found (x3 x41) as proof of (cP Xy)
% 21.04/21.20 Found x40:=(x4 x50):(cP Xy0)
% 21.04/21.20 Instantiate: Xy0:=Xy1:fofType
% 21.04/21.20 Found (x4 x50) as proof of (cP Xy1)
% 21.04/21.20 Found (x4 x50) as proof of (cP Xy1)
% 21.04/21.20 Found x20:=(x2 x30):(cP Xy)
% 21.04/21.20 Instantiate: Xy:=Xy1:fofType
% 21.04/21.20 Found (x2 x30) as proof of (cP Xy1)
% 21.04/21.20 Found (x2 x30) as proof of (cP Xy1)
% 21.04/21.20 Found x40:=(x4 x30):(cP Xy0)
% 21.04/21.20 Instantiate: Xy0:=Xy1:fofType
% 21.04/21.20 Found (x4 x30) as proof of (cP Xy1)
% 21.04/21.20 Found (x4 x30) as proof of (cP Xy1)
% 21.04/21.21 Found x20:=(x2 x50):(cP Xy)
% 21.04/21.21 Instantiate: Xy:=Xy1:fofType
% 21.04/21.21 Found (x2 x50) as proof of (cP Xy1)
% 21.04/21.21 Found (x2 x50) as proof of (cP Xy1)
% 21.04/21.21 Found x21:(cP Xy)
% 21.04/21.21 Instantiate: Xy:=Xy0:fofType
% 21.04/21.21 Found x21 as proof of (cP Xy0)
% 21.04/21.21 Found x20:(cP Xy)
% 21.04/21.21 Instantiate: Xy:=x0:fofType
% 21.04/21.21 Found x20 as proof of (cP x0)
% 21.04/21.21 Found x30:(cP x0)
% 21.04/21.21 Instantiate: Xy:=x0:fofType
% 21.04/21.21 Found x30 as proof of (cP Xy)
% 21.04/21.21 Found x30:(cP x0)
% 21.04/21.21 Found x30 as proof of (cP x0)
% 21.04/21.21 Found (x5 x30) as proof of (cP Xy0)
% 21.04/21.21 Found (x5 x30) as proof of (cP Xy0)
% 21.04/21.21 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 21.04/21.21 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 21.04/21.21 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 21.04/21.21 Found x30:(cP x0)
% 21.04/21.21 Found x30 as proof of (cP x0)
% 21.04/21.21 Found (x2 x30) as proof of (cP Xy0)
% 21.04/21.21 Found (x2 x30) as proof of (cP Xy0)
% 21.04/21.21 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 21.04/21.21 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 21.04/21.21 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 21.04/21.21 Found x21:(cP Xy)
% 21.04/21.21 Instantiate: Xy:=x0:fofType
% 21.04/21.21 Found x21 as proof of (cP x0)
% 21.04/21.21 Found x31:(cP x0)
% 21.04/21.21 Instantiate: Xy:=x0:fofType
% 21.04/21.21 Found x31 as proof of (cP Xy)
% 21.04/21.21 Found x40:(cP Xy0)
% 21.04/21.21 Instantiate: Xy0:=Xy1:fofType
% 21.04/21.21 Found x40 as proof of (cP Xy1)
% 21.04/21.21 Found x20:(cP Xy)
% 21.04/21.21 Instantiate: Xy:=Xy1:fofType
% 21.04/21.21 Found x20 as proof of (cP Xy1)
% 21.04/21.21 Found x20:(cP Xy)
% 21.04/21.21 Found x20 as proof of (cP Xy1)
% 21.04/21.21 Found x40:(cP Xy0)
% 21.04/21.21 Found x40 as proof of (cP Xy1)
% 21.04/21.21 Found x21:(cP Xy)
% 21.04/21.21 Found x21 as proof of (cP Xy0)
% 21.04/21.21 Found x6:(cP x5)
% 21.04/21.21 Instantiate: Xy0:=x5:fofType
% 21.04/21.21 Found x6 as proof of (cP Xy0)
% 21.04/21.21 Found (x4 x6) as proof of (cP x0)
% 21.04/21.21 Found (fun (x6:(cP x5))=> (x4 x6)) as proof of (cP x0)
% 21.04/21.21 Found x30:(cP Xy0)
% 21.04/21.21 Instantiate: Xy0:=Xy:fofType
% 21.04/21.21 Found x30 as proof of (cP Xy)
% 21.04/21.21 Found x6:(cP x5)
% 21.04/21.21 Instantiate: Xy0:=x5:fofType
% 21.04/21.21 Found x6 as proof of (cP Xy0)
% 21.04/21.21 Found x8:(cP x7)
% 21.04/21.21 Instantiate: Xy:=x7:fofType
% 21.04/21.21 Found x8 as proof of (cP Xy)
% 21.04/21.21 Found (x3 x8) as proof of (cP x0)
% 21.04/21.21 Found (x3 x8) as proof of (cP x0)
% 21.04/21.21 Found (x4 (x3 x8)) as proof of (cP Xy1)
% 21.04/21.21 Found (x4 (x3 x8)) as proof of (cP Xy1)
% 21.04/21.21 Found (fun (x8:(cP x7))=> (x4 (x3 x8))) as proof of (cP Xy1)
% 21.04/21.21 Found x8:(cP x7)
% 21.04/21.21 Instantiate: Xy0:=x7:fofType
% 21.04/21.21 Found x8 as proof of (cP Xy0)
% 21.04/21.21 Found (x5 x8) as proof of (cP x0)
% 21.04/21.21 Found (x5 x8) as proof of (cP x0)
% 21.04/21.21 Found (x2 (x5 x8)) as proof of (cP Xy1)
% 21.04/21.21 Found (x2 (x5 x8)) as proof of (cP Xy1)
% 21.04/21.21 Found (fun (x8:(cP x7))=> (x2 (x5 x8))) as proof of (cP Xy1)
% 21.04/21.21 Found x30:(cP Xy)
% 21.04/21.21 Instantiate: x5:=Xy:fofType
% 21.04/21.21 Found x30 as proof of (cP x5)
% 21.04/21.21 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.04/21.21 Found ((ex_intro00 Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.04/21.21 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.04/21.21 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.72/21.95 Found (fun (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.72/21.95 Found (fun (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30)) as proof of (((cP Xy)->(cP x0))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 21.72/21.95 Found (fun (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x2 x0)))) as proof of (((cP Xy)->(cP x0))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 21.72/21.95 Found (fun (x3:((cP x0)->(cP Xy))) (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x2 x0)))) as proof of (((cP Xy)->(cP x0))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 21.72/21.95 Found (fun (x3:((cP x0)->(cP Xy))) (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x2 x0)))) as proof of (((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 21.72/21.95 Found (and_rect00 (fun (x3:((cP x0)->(cP Xy))) (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x2 x0))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.72/21.95 Found ((and_rect0 ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (fun (x3:((cP x0)->(cP Xy))) (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x2 x0))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.72/21.95 Found (((fun (P:Type) (x3:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x3) x10)) ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (fun (x3:((cP x0)->(cP Xy))) (x4:((cP Xy)->(cP x0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x2 x0))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 21.72/21.95 Found x50:=(x5 x60):(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy:fofType
% 21.72/21.95 Found (x5 x60) as proof of (cP Xy)
% 21.72/21.95 Found (x5 x60) as proof of (cP Xy)
% 21.72/21.95 Found x50:=(x5 x60):(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy:fofType
% 21.72/21.95 Found (x5 x60) as proof of (cP Xy)
% 21.72/21.95 Found (x5 x60) as proof of (cP Xy)
% 21.72/21.95 Found x50:(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy:fofType
% 21.72/21.95 Found (fun (x6:((cP Xy0)->(cP x3)))=> x50) as proof of (cP Xy)
% 21.72/21.95 Found (fun (x6:((cP Xy0)->(cP x3)))=> x50) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 21.72/21.95 Found x50:(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy:fofType
% 21.72/21.95 Found (fun (x6:((cP Xy0)->(cP x1)))=> x50) as proof of (cP Xy)
% 21.72/21.95 Found (fun (x6:((cP Xy0)->(cP x1)))=> x50) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 21.72/21.95 Found x40:=(x4 x30):(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy1:fofType
% 21.72/21.95 Found (x4 x30) as proof of (cP Xy1)
% 21.72/21.95 Found x20:=(x2 x50):(cP Xy)
% 21.72/21.95 Instantiate: Xy:=Xy1:fofType
% 21.72/21.95 Found (x2 x50) as proof of (cP Xy1)
% 21.72/21.95 Found x40:=(x4 x50):(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy1:fofType
% 21.72/21.95 Found (x4 x50) as proof of (cP Xy1)
% 21.72/21.95 Found x20:=(x2 x30):(cP Xy)
% 21.72/21.95 Instantiate: Xy:=Xy1:fofType
% 21.72/21.95 Found (x2 x30) as proof of (cP Xy1)
% 21.72/21.95 Found x40:(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=Xy1:fofType
% 21.72/21.95 Found x40 as proof of (cP Xy1)
% 21.72/21.95 Found x20:(cP Xy)
% 21.72/21.95 Instantiate: Xy:=Xy1:fofType
% 21.72/21.95 Found x20 as proof of (cP Xy1)
% 21.72/21.95 Found x21:(cP Xy)
% 21.72/21.95 Instantiate: Xy:=Xy0:fofType
% 21.72/21.95 Found x21 as proof of (cP Xy0)
% 21.72/21.95 Found x20:=(x2 x31):(cP Xy)
% 21.72/21.95 Found (x2 x31) as proof of (cP Xy0)
% 21.72/21.95 Found (x2 x31) as proof of (cP Xy0)
% 21.72/21.95 Found x6:(cP x5)
% 21.72/21.95 Instantiate: Xy0:=x5:fofType
% 21.72/21.95 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 21.72/21.95 Found x21:(cP Xy)
% 21.72/21.95 Instantiate: Xy:=Xy0:fofType
% 21.72/21.95 Found x21 as proof of (cP Xy0)
% 21.72/21.95 Found x30:(cP x0)
% 21.72/21.95 Instantiate: Xy:=x0:fofType
% 21.72/21.95 Found x30 as proof of (cP Xy)
% 21.72/21.95 Found x20:(cP Xy)
% 21.72/21.95 Instantiate: Xy:=x0:fofType
% 21.72/21.95 Found x20 as proof of (cP x0)
% 21.72/21.95 Found x20:(cP Xy)
% 21.72/21.95 Instantiate: Xy:=x0:fofType
% 21.72/21.95 Found x20 as proof of (cP x0)
% 21.72/21.95 Found x40:(cP Xy0)
% 21.72/21.95 Instantiate: Xy:=Xy0:fofType
% 21.72/21.95 Found x40 as proof of (cP Xy)
% 21.72/21.95 Found x8:(cP x7)
% 21.72/21.95 Instantiate: Xy:=x7:fofType
% 21.72/21.95 Found x8 as proof of (cP Xy)
% 21.72/21.95 Found (x3 x8) as proof of (cP x0)
% 21.72/21.95 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 21.72/21.95 Found x8:(cP x7)
% 21.72/21.95 Instantiate: Xy0:=x7:fofType
% 21.72/21.95 Found x8 as proof of (cP Xy0)
% 21.72/21.95 Found (x5 x8) as proof of (cP x0)
% 21.72/21.95 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 21.72/21.95 Found x40:(cP Xy0)
% 21.72/21.95 Instantiate: Xy:=Xy0:fofType
% 21.72/21.95 Found x40 as proof of (cP Xy)
% 21.72/21.95 Found x40:(cP Xy0)
% 21.72/21.95 Instantiate: Xy0:=x0:fofType
% 21.72/21.95 Found x40 as proof of (cP x0)
% 22.83/23.04 Found x40:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=x0:fofType
% 22.83/23.04 Found x40 as proof of (cP x0)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy0:fofType
% 22.83/23.04 Found x20 as proof of (cP Xy0)
% 22.83/23.04 Found x30:=(x3 x40):(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy:fofType
% 22.83/23.04 Found (x3 x40) as proof of (cP Xy)
% 22.83/23.04 Found (x3 x40) as proof of (cP Xy)
% 22.83/23.04 Found x21:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=x0:fofType
% 22.83/23.04 Found x21 as proof of (cP x0)
% 22.83/23.04 Found x31:(cP x0)
% 22.83/23.04 Instantiate: Xy:=x0:fofType
% 22.83/23.04 Found x31 as proof of (cP Xy)
% 22.83/23.04 Found x40:(cP Xy0)
% 22.83/23.04 Found x40 as proof of (cP Xy1)
% 22.83/23.04 Found x40:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy1:fofType
% 22.83/23.04 Found x40 as proof of (cP Xy1)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy1:fofType
% 22.83/23.04 Found x20 as proof of (cP Xy1)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Found x20 as proof of (cP Xy1)
% 22.83/23.04 Found x30:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy:fofType
% 22.83/23.04 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 22.83/23.04 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 22.83/23.04 Found x30:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=x1:fofType
% 22.83/23.04 Found x30 as proof of (cP x1)
% 22.83/23.04 Found x31:(cP x0)
% 22.83/23.04 Instantiate: Xy:=x0:fofType
% 22.83/23.04 Found x31 as proof of (cP Xy)
% 22.83/23.04 Found x40:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy1:fofType
% 22.83/23.04 Found x40 as proof of (cP Xy1)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy1:fofType
% 22.83/23.04 Found x20 as proof of (cP Xy1)
% 22.83/23.04 Found x8:(cP x7)
% 22.83/23.04 Instantiate: Xy:=x7:fofType
% 22.83/23.04 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 22.83/23.04 Found x8:(cP x7)
% 22.83/23.04 Instantiate: Xy0:=x7:fofType
% 22.83/23.04 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 22.83/23.04 Found x20:=(x2 x30):(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy1:fofType
% 22.83/23.04 Found (x2 x30) as proof of (cP Xy1)
% 22.83/23.04 Found x40:=(x4 x30):(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy1:fofType
% 22.83/23.04 Found (x4 x30) as proof of (cP Xy1)
% 22.83/23.04 Found x20:=(x2 x50):(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy1:fofType
% 22.83/23.04 Found (x2 x50) as proof of (cP Xy1)
% 22.83/23.04 Found x40:=(x4 x50):(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy1:fofType
% 22.83/23.04 Found (x4 x50) as proof of (cP Xy1)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy1:fofType
% 22.83/23.04 Found x20 as proof of (cP Xy1)
% 22.83/23.04 Found x40:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy1:fofType
% 22.83/23.04 Found x40 as proof of (cP Xy1)
% 22.83/23.04 Found x30:(cP x0)
% 22.83/23.04 Instantiate: Xy:=x0:fofType
% 22.83/23.04 Found x30 as proof of (cP Xy)
% 22.83/23.04 Found x40:(cP Xy0)
% 22.83/23.04 Instantiate: Xy0:=Xy1:fofType
% 22.83/23.04 Found x40 as proof of (cP Xy1)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=Xy1:fofType
% 22.83/23.04 Found x20 as proof of (cP Xy1)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=x0:fofType
% 22.83/23.04 Found x20 as proof of (cP x0)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: Xy:=x0:fofType
% 22.83/23.04 Found x20 as proof of (cP x0)
% 22.83/23.04 Found x30:(cP x0)
% 22.83/23.04 Instantiate: x5:=x0:fofType
% 22.83/23.04 Found x30 as proof of (cP x5)
% 22.83/23.04 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found ((ex_intro00 x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30)) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 22.83/23.04 Found x31:(cP x0)
% 22.83/23.04 Found x31 as proof of (cP x0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found x31:(cP x0)
% 22.83/23.04 Found x31 as proof of (cP x0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found x31:(cP x0)
% 22.83/23.04 Found x31 as proof of (cP x0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found (x2 x31) as proof of (cP Xy0)
% 22.83/23.04 Found x20:(cP Xy)
% 22.83/23.04 Instantiate: x5:=Xy:fofType
% 22.83/23.04 Found x20 as proof of (cP x5)
% 22.83/23.04 Found (ex_intro000 x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found ((ex_intro00 Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 22.83/23.04 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 23.65/23.91 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20)) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 23.65/23.91 Found x20:=(x2 x30):(cP Xy)
% 23.65/23.91 Instantiate: Xy:=Xy0:fofType
% 23.65/23.91 Found (x2 x30) as proof of (cP Xy0)
% 23.65/23.91 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 23.65/23.91 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 23.65/23.91 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 23.65/23.91 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30))) as proof of (cP Xy0)
% 23.65/23.91 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30))) as proof of (cP Xy0)
% 23.65/23.91 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30))) as proof of (cP Xy0)
% 23.65/23.91 Found x20:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=Xy0:fofType
% 23.65/23.91 Found x20 as proof of (cP Xy0)
% 23.65/23.91 Found x50:(cP x0)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x50 as proof of (cP Xy)
% 23.65/23.91 Found x30:(cP x0)
% 23.65/23.91 Instantiate: Xy0:=x0:fofType
% 23.65/23.91 Found x30 as proof of (cP Xy0)
% 23.65/23.91 Found x50:(cP x0)
% 23.65/23.91 Instantiate: Xy0:=x0:fofType
% 23.65/23.91 Found x50 as proof of (cP Xy0)
% 23.65/23.91 Found x30:(cP x0)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x30 as proof of (cP Xy)
% 23.65/23.91 Found x40:(cP Xy0)
% 23.65/23.91 Instantiate: Xy0:=x0:fofType
% 23.65/23.91 Found x40 as proof of (cP x0)
% 23.65/23.91 Found x20:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x20 as proof of (cP x0)
% 23.65/23.91 Found x31:(cP x0)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x31 as proof of (cP Xy)
% 23.65/23.91 Found x40:(cP Xy0)
% 23.65/23.91 Instantiate: Xy:=Xy0:fofType
% 23.65/23.91 Found x40 as proof of (cP Xy)
% 23.65/23.91 Found x20:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x20 as proof of (cP x0)
% 23.65/23.91 Found x21:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x21 as proof of (cP x0)
% 23.65/23.91 Found x40:(cP Xy0)
% 23.65/23.91 Instantiate: Xy0:=x0:fofType
% 23.65/23.91 Found x40 as proof of (cP x0)
% 23.65/23.91 Found x20:(cP Xy)
% 23.65/23.91 Instantiate: Xy0:=Xy:fofType
% 23.65/23.91 Found x20 as proof of (cP Xy0)
% 23.65/23.91 Found x30:=(x3 x40):(cP Xy0)
% 23.65/23.91 Instantiate: Xy0:=Xy:fofType
% 23.65/23.91 Found (x3 x40) as proof of (cP Xy)
% 23.65/23.91 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 23.65/23.91 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 23.65/23.91 Found x20:(cP Xy)
% 23.65/23.91 Instantiate: Xy0:=Xy:fofType
% 23.65/23.91 Found x20 as proof of (cP Xy0)
% 23.65/23.91 Found x30:(cP x0)
% 23.65/23.91 Instantiate: Xy0:=x0:fofType
% 23.65/23.91 Found x30 as proof of (cP Xy0)
% 23.65/23.91 Found x40:(cP Xy0)
% 23.65/23.91 Instantiate: Xy:=Xy0:fofType
% 23.65/23.91 Found x40 as proof of (cP Xy)
% 23.65/23.91 Found x50:(cP x0)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x50 as proof of (cP Xy)
% 23.65/23.91 Found x31:(cP x0)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x31 as proof of (cP Xy)
% 23.65/23.91 Found x21:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x21 as proof of (cP x0)
% 23.65/23.91 Found x30:(cP Xy0)
% 23.65/23.91 Instantiate: Xy0:=Xy:fofType
% 23.65/23.91 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 23.65/23.91 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 23.65/23.91 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 23.65/23.91 Found x21:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x21 as proof of (cP x0)
% 23.65/23.91 Found x31:(cP x0)
% 23.65/23.91 Instantiate: Xy:=x0:fofType
% 23.65/23.91 Found x31 as proof of (cP Xy)
% 23.65/23.91 Found x8:(cP x7)
% 23.65/23.91 Instantiate: Xy1:=x7:fofType
% 23.65/23.91 Found x8 as proof of (cP Xy1)
% 23.65/23.91 Found x50:(cP Xy1)
% 23.65/23.91 Instantiate: Xy1:=Xy0:fofType
% 23.65/23.91 Found x50 as proof of (cP Xy0)
% 23.65/23.91 Found x20:(cP Xy)
% 23.65/23.91 Instantiate: Xy:=Xy0:fofType
% 23.65/23.91 Found x20 as proof of (cP Xy0)
% 23.65/23.91 Found x20:=(x2 x31):(cP Xy)
% 23.65/23.91 Instantiate: Xy:=Xy0:fofType
% 23.65/23.91 Found (x2 x31) as proof of (cP Xy0)
% 23.65/23.91 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 23.65/23.91 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 23.65/23.91 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 23.65/23.91 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 23.65/23.91 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 23.65/23.91 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 24.43/24.63 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 24.43/24.63 Found x8:(cP x7)
% 24.43/24.63 Instantiate: Xy:=x7:fofType
% 24.43/24.63 Found x8 as proof of (cP Xy)
% 24.43/24.63 Found x20:=(x2 x31):(cP Xy)
% 24.43/24.63 Found (x2 x31) as proof of (cP Xy0)
% 24.43/24.63 Found (x2 x31) as proof of (cP Xy0)
% 24.43/24.63 Found x20:(cP Xy)
% 24.43/24.63 Instantiate: x5:=Xy:fofType
% 24.43/24.63 Found x20 as proof of (cP x5)
% 24.43/24.63 Found (ex_intro000 x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 24.43/24.63 Found ((ex_intro00 Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 24.43/24.63 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 24.43/24.63 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 24.43/24.63 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 24.43/24.63 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20)) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 24.43/24.63 Found x30:(cP x0)
% 24.43/24.63 Instantiate: Xy0:=x0:fofType
% 24.43/24.63 Found x30 as proof of (cP Xy0)
% 24.43/24.63 Found x30:(cP x0)
% 24.43/24.63 Instantiate: Xy:=x0:fofType
% 24.43/24.63 Found x30 as proof of (cP Xy)
% 24.43/24.63 Found x20:=(x2 x30):(cP Xy)
% 24.43/24.63 Found (x2 x30) as proof of (cP Xy1)
% 24.43/24.63 Found (x2 x30) as proof of (cP Xy1)
% 24.43/24.63 Found (x2 x30) as proof of (cP Xy1)
% 24.43/24.63 Found x40:=(x4 x50):(cP Xy0)
% 24.43/24.63 Found (x4 x50) as proof of (cP Xy1)
% 24.43/24.63 Found (x4 x50) as proof of (cP Xy1)
% 24.43/24.63 Found (x4 x50) as proof of (cP Xy1)
% 24.43/24.63 Found x40:=(x4 x30):(cP Xy0)
% 24.43/24.63 Found (x4 x30) as proof of (cP Xy1)
% 24.43/24.63 Found (x4 x30) as proof of (cP Xy1)
% 24.43/24.63 Found (x4 x30) as proof of (cP Xy1)
% 24.43/24.63 Found x20:=(x2 x50):(cP Xy)
% 24.43/24.63 Found (x2 x50) as proof of (cP Xy1)
% 24.43/24.63 Found (x2 x50) as proof of (cP Xy1)
% 24.43/24.63 Found (x2 x50) as proof of (cP Xy1)
% 24.43/24.63 Found x20:=(x2 x30):(cP Xy)
% 24.43/24.63 Instantiate: Xy:=Xy0:fofType
% 24.43/24.63 Found (x2 x30) as proof of (cP Xy0)
% 24.43/24.63 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 24.43/24.63 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 24.43/24.63 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 24.43/24.63 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30))) as proof of (cP Xy0)
% 24.43/24.63 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30))) as proof of (cP Xy0)
% 24.43/24.63 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30))) as proof of (cP Xy0)
% 24.43/24.63 Found x20:(cP Xy)
% 24.43/24.63 Instantiate: Xy:=x0:fofType
% 24.43/24.63 Found x20 as proof of (cP x0)
% 24.43/24.63 Found x20:(cP Xy)
% 24.43/24.63 Instantiate: Xy0:=Xy:fofType
% 24.43/24.63 Found x20 as proof of (cP Xy0)
% 24.43/24.63 Found x30:(cP x0)
% 24.43/24.63 Instantiate: Xy:=x0:fofType
% 24.43/24.63 Found x30 as proof of (cP Xy)
% 24.43/24.63 Found x20:(cP Xy)
% 24.43/24.63 Instantiate: Xy:=x0:fofType
% 24.43/24.63 Found x20 as proof of (cP x0)
% 24.43/24.63 Found x20:(cP Xy)
% 24.43/24.63 Instantiate: Xy:=x0:fofType
% 24.43/24.63 Found x20 as proof of (cP x0)
% 24.43/24.63 Found x40:(cP Xy0)
% 24.43/24.63 Instantiate: Xy0:=x0:fofType
% 24.43/24.63 Found x40 as proof of (cP x0)
% 24.43/24.63 Found x40:(cP Xy0)
% 24.43/24.63 Instantiate: Xy:=Xy0:fofType
% 24.43/24.63 Found x40 as proof of (cP Xy)
% 24.43/24.63 Found x40:(cP Xy0)
% 24.43/24.63 Instantiate: Xy0:=x0:fofType
% 24.43/24.63 Found x40 as proof of (cP x0)
% 24.43/24.63 Found x30:=(x3 x40):(cP Xy0)
% 24.43/24.63 Instantiate: Xy0:=Xy:fofType
% 24.43/24.63 Found (x3 x40) as proof of (cP Xy)
% 24.43/24.63 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 24.43/24.63 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 24.43/24.63 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 24.43/24.63 Found x2:(cP x1)
% 24.43/24.63 Instantiate: Xy0:=x1:fofType
% 24.43/24.63 Found x2 as proof of (cP Xy0)
% 24.43/24.63 Found (x6 x2) as proof of (cP x3)
% 24.43/24.63 Found (x6 x2) as proof of (cP x3)
% 24.43/24.63 Found x4:(cP x3)
% 24.43/24.63 Instantiate: Xy0:=x3:fofType
% 24.43/24.63 Found x4 as proof of (cP Xy0)
% 25.12/25.32 Found (x6 x4) as proof of (cP x1)
% 25.12/25.32 Found (x6 x4) as proof of (cP x1)
% 25.12/25.32 Found x20:=(x2 x3):(cP x3)
% 25.12/25.32 Found (x2 x3) as proof of (cP x3)
% 25.12/25.32 Found (x2 x3) as proof of (cP x3)
% 25.12/25.32 Found (ex_intro000 (x2 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 25.12/25.32 Found x40:(cP Xy0)
% 25.12/25.32 Found x40 as proof of (cP Xy1)
% 25.12/25.32 Found x40:(cP Xy0)
% 25.12/25.32 Instantiate: Xy0:=Xy1:fofType
% 25.12/25.32 Found x40 as proof of (cP Xy1)
% 25.12/25.32 Found x20:(cP Xy)
% 25.12/25.32 Found x20 as proof of (cP Xy1)
% 25.12/25.32 Found x20:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy1:fofType
% 25.12/25.32 Found x20 as proof of (cP Xy1)
% 25.12/25.32 Found x31:(cP x0)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x31 as proof of (cP Xy)
% 25.12/25.32 Found x21:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x21 as proof of (cP x0)
% 25.12/25.32 Found x22:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy0:fofType
% 25.12/25.32 Found x22 as proof of (cP Xy0)
% 25.12/25.32 Found x50:=(x5 x60):(cP Xy0)
% 25.12/25.32 Instantiate: Xy0:=Xy:fofType
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found x31:(cP x0)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x31 as proof of (cP Xy)
% 25.12/25.32 Found x31:(cP x0)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x31 as proof of (cP Xy)
% 25.12/25.32 Found x21:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x21 as proof of (cP x0)
% 25.12/25.32 Found x50:=(x5 x60):(cP Xy0)
% 25.12/25.32 Instantiate: Xy0:=Xy:fofType
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found x31:(cP x0)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x31 as proof of (cP Xy)
% 25.12/25.32 Found x21:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x21 as proof of (cP x0)
% 25.12/25.32 Found x20:=(x2 x31):(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy0:fofType
% 25.12/25.32 Found (x2 x31) as proof of (cP Xy0)
% 25.12/25.32 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 25.12/25.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 25.12/25.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 25.12/25.32 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.12/25.32 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.12/25.32 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.12/25.32 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.12/25.32 Found x40:(cP x1)
% 25.12/25.32 Instantiate: Xy0:=x1:fofType
% 25.12/25.32 Found x40 as proof of (cP Xy0)
% 25.12/25.32 Found x50:(cP Xy1)
% 25.12/25.32 Instantiate: Xy1:=Xy0:fofType
% 25.12/25.32 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 25.12/25.32 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 25.12/25.32 Found x20:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy0:fofType
% 25.12/25.32 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 25.12/25.32 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 25.12/25.32 Found x20:=(x2 x3):(cP x3)
% 25.12/25.32 Found (x2 x3) as proof of (cP x3)
% 25.12/25.32 Found (x2 x3) as proof of (cP x3)
% 25.12/25.32 Found (ex_intro000 (x2 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 25.12/25.32 Found x50:=(x5 x60):(cP Xy0)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found x20:=(x2 x30):(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy1:fofType
% 25.12/25.32 Found (x2 x30) as proof of (cP Xy1)
% 25.12/25.32 Found x40:=(x4 x30):(cP Xy0)
% 25.12/25.32 Instantiate: Xy0:=Xy1:fofType
% 25.12/25.32 Found (x4 x30) as proof of (cP Xy1)
% 25.12/25.32 Found x40:=(x4 x50):(cP Xy0)
% 25.12/25.32 Instantiate: Xy0:=Xy1:fofType
% 25.12/25.32 Found (x4 x50) as proof of (cP Xy1)
% 25.12/25.32 Found x20:=(x2 x50):(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy1:fofType
% 25.12/25.32 Found (x2 x50) as proof of (cP Xy1)
% 25.12/25.32 Found x21:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=x0:fofType
% 25.12/25.32 Found x21 as proof of (cP x0)
% 25.12/25.32 Found x50:=(x5 x60):(cP Xy0)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found (x5 x60) as proof of (cP Xy)
% 25.12/25.32 Found x20:(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy1:fofType
% 25.12/25.32 Found x20 as proof of (cP Xy1)
% 25.12/25.32 Found x40:(cP Xy0)
% 25.12/25.32 Instantiate: Xy0:=Xy1:fofType
% 25.12/25.32 Found x40 as proof of (cP Xy1)
% 25.12/25.32 Found x6:(cP x5)
% 25.12/25.32 Instantiate: Xy0:=x5:fofType
% 25.12/25.32 Found x6 as proof of (cP Xy0)
% 25.12/25.32 Found (x4 x6) as proof of (cP x1)
% 25.12/25.32 Found (x4 x6) as proof of (cP x1)
% 25.12/25.32 Found x20:=(x2 x31):(cP Xy)
% 25.12/25.32 Instantiate: Xy:=Xy0:fofType
% 25.12/25.32 Found (x2 x31) as proof of (cP Xy0)
% 25.12/25.32 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 25.12/25.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 25.42/25.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 25.42/25.60 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.42/25.60 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.42/25.60 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.42/25.60 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 25.42/25.60 Found x30:=(x3 x41):(cP Xy0)
% 25.42/25.60 Found (x3 x41) as proof of (cP Xy)
% 25.42/25.60 Found (x3 x41) as proof of (cP Xy)
% 25.42/25.60 Found (x3 x41) as proof of (cP Xy)
% 25.42/25.60 Found x20:=(x2 x30):(cP Xy)
% 25.42/25.60 Found (x2 x30) as proof of (cP Xy1)
% 25.42/25.60 Found (x2 x30) as proof of (cP Xy1)
% 25.42/25.60 Found x20:=(x2 x50):(cP Xy)
% 25.42/25.60 Found (x2 x50) as proof of (cP Xy1)
% 25.42/25.60 Found (x2 x50) as proof of (cP Xy1)
% 25.42/25.60 Found x40:=(x4 x30):(cP Xy0)
% 25.42/25.60 Found (x4 x30) as proof of (cP Xy1)
% 25.42/25.60 Found (x4 x30) as proof of (cP Xy1)
% 25.42/25.60 Found x40:=(x4 x50):(cP Xy0)
% 25.42/25.60 Found (x4 x50) as proof of (cP Xy1)
% 25.42/25.60 Found (x4 x50) as proof of (cP Xy1)
% 25.42/25.60 Found x00:=(x0 x1):(cP x1)
% 25.42/25.60 Found (x0 x1) as proof of (cP x1)
% 25.42/25.60 Found (x0 x1) as proof of (cP x1)
% 25.42/25.60 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 25.42/25.60 Found x30:(cP x0)
% 25.42/25.60 Instantiate: Xy0:=x0:fofType
% 25.42/25.60 Found x30 as proof of (cP Xy0)
% 25.42/25.60 Found x30:(cP x0)
% 25.42/25.60 Instantiate: Xy:=x0:fofType
% 25.42/25.60 Found x30 as proof of (cP Xy)
% 25.42/25.60 Found x20:(cP Xy)
% 25.42/25.60 Instantiate: Xy:=Xy1:fofType
% 25.42/25.60 Found x20 as proof of (cP Xy1)
% 25.42/25.60 Found x30:(cP Xy0)
% 25.42/25.60 Instantiate: Xy0:=x1:fofType
% 25.42/25.60 Found x30 as proof of (cP x1)
% 25.42/25.60 Found x40:(cP Xy0)
% 25.42/25.60 Instantiate: Xy0:=Xy1:fofType
% 25.42/25.60 Found x40 as proof of (cP Xy1)
% 25.42/25.60 Found x30:=(x3 x40):(cP Xy0)
% 25.42/25.60 Instantiate: Xy0:=Xy:fofType
% 25.42/25.60 Found (x3 x40) as proof of (cP Xy)
% 25.42/25.60 Found (x3 x40) as proof of (cP Xy)
% 25.42/25.60 Found x20:(cP Xy)
% 25.42/25.60 Instantiate: Xy:=x0:fofType
% 25.42/25.60 Found x20 as proof of (cP x0)
% 25.42/25.60 Found x20:(cP Xy)
% 25.42/25.60 Instantiate: Xy:=x0:fofType
% 25.42/25.60 Found x20 as proof of (cP x0)
% 25.42/25.60 Found x20:(cP Xy)
% 25.42/25.60 Instantiate: Xy0:=Xy:fofType
% 25.42/25.60 Found x20 as proof of (cP Xy0)
% 25.42/25.60 Found x50:=(x5 x30):(cP Xy1)
% 25.42/25.60 Instantiate: Xy1:=Xy0:fofType
% 25.42/25.60 Found (x5 x30) as proof of (cP Xy0)
% 25.42/25.60 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 25.42/25.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 25.42/25.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 25.42/25.60 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 25.42/25.60 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 25.42/25.60 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 25.42/25.60 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 25.42/25.60 Found (fun (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (cP Xy0)
% 25.42/25.60 Found (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (forall (Xy:fofType), (cP Xy))
% 25.42/25.60 Found (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))
% 26.83/27.06 Found x30:(cP x0)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x30 as proof of (cP Xy)
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x20 as proof of (cP x0)
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x20 as proof of (cP x0)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy:=Xy0:fofType
% 26.83/27.06 Found x40 as proof of (cP Xy)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy:=Xy0:fofType
% 26.83/27.06 Found x40 as proof of (cP Xy)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=x0:fofType
% 26.83/27.06 Found x40 as proof of (cP x0)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=x0:fofType
% 26.83/27.06 Found x40 as proof of (cP x0)
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Found x20 as proof of (cP Xy1)
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy1:fofType
% 26.83/27.06 Found x20 as proof of (cP Xy1)
% 26.83/27.06 Found x6:(cP x5)
% 26.83/27.06 Instantiate: Xy0:=x5:fofType
% 26.83/27.06 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Found x40 as proof of (cP Xy1)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=Xy1:fofType
% 26.83/27.06 Found x40 as proof of (cP Xy1)
% 26.83/27.06 Found x30:=(x3 x40):(cP Xy0)
% 26.83/27.06 Found (x3 x40) as proof of (cP Xy)
% 26.83/27.06 Found (x3 x40) as proof of (cP Xy)
% 26.83/27.06 Found (x3 x40) as proof of (cP Xy)
% 26.83/27.06 Found x21:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x21 as proof of (cP x0)
% 26.83/27.06 Found x22:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy0:fofType
% 26.83/27.06 Found x22 as proof of (cP Xy0)
% 26.83/27.06 Found x21:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x21 as proof of (cP x0)
% 26.83/27.06 Found x21:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x21 as proof of (cP x0)
% 26.83/27.06 Found x20:=(x2 x31):(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy0:fofType
% 26.83/27.06 Found (x2 x31) as proof of (cP Xy0)
% 26.83/27.06 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 26.83/27.06 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 26.83/27.06 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 26.83/27.06 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 26.83/27.06 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 26.83/27.06 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 26.83/27.06 Found x50:(cP Xy1)
% 26.83/27.06 Instantiate: Xy1:=Xy0:fofType
% 26.83/27.06 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 26.83/27.06 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 26.83/27.06 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy0:fofType
% 26.83/27.06 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 26.83/27.06 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 26.83/27.06 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 26.83/27.06 Found x40:=(x4 x30):(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=Xy1:fofType
% 26.83/27.06 Found (x4 x30) as proof of (cP Xy1)
% 26.83/27.06 Found x20:=(x2 x30):(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy1:fofType
% 26.83/27.06 Found (x2 x30) as proof of (cP Xy1)
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy1:fofType
% 26.83/27.06 Found x20 as proof of (cP Xy1)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=Xy1:fofType
% 26.83/27.06 Found x40 as proof of (cP Xy1)
% 26.83/27.06 Found x31:(cP x0)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x31 as proof of (cP Xy)
% 26.83/27.06 Found x21:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 26.83/27.06 Found x21 as proof of (cP x0)
% 26.83/27.06 Found x20:=(x2 x30):(cP Xy)
% 26.83/27.06 Found (x2 x30) as proof of (cP Xy1)
% 26.83/27.06 Found (x2 x30) as proof of (cP Xy1)
% 26.83/27.06 Found x40:=(x4 x50):(cP Xy0)
% 26.83/27.06 Found (x4 x50) as proof of (cP Xy1)
% 26.83/27.06 Found (x4 x50) as proof of (cP Xy1)
% 26.83/27.06 Found x40:=(x4 x30):(cP Xy0)
% 26.83/27.06 Found (x4 x30) as proof of (cP Xy1)
% 26.83/27.06 Found (x4 x30) as proof of (cP Xy1)
% 26.83/27.06 Found x20:=(x2 x50):(cP Xy)
% 26.83/27.06 Found (x2 x50) as proof of (cP Xy1)
% 26.83/27.06 Found (x2 x50) as proof of (cP Xy1)
% 26.83/27.06 Found x20:(cP Xy)
% 26.83/27.06 Instantiate: Xy:=Xy1:fofType
% 26.83/27.06 Found x20 as proof of (cP Xy1)
% 26.83/27.06 Found x40:(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=Xy1:fofType
% 26.83/27.06 Found x40 as proof of (cP Xy1)
% 26.83/27.06 Found x30:=(x3 x40):(cP Xy0)
% 26.83/27.06 Instantiate: Xy0:=Xy:fofType
% 26.83/27.06 Found (x3 x40) as proof of (cP Xy)
% 26.83/27.06 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 26.83/27.06 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 26.83/27.06 Found x30:(cP x0)
% 26.83/27.06 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x30 as proof of (cP Xy)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x20 as proof of (cP x0)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x20 as proof of (cP x0)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Found x20 as proof of (cP Xy1)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy1:fofType
% 28.19/28.45 Found x20 as proof of (cP Xy1)
% 28.19/28.45 Found x50:(cP x0)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x50 as proof of (cP Xy)
% 28.19/28.45 Found x30:(cP x0)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x30 as proof of (cP Xy)
% 28.19/28.45 Found x30:(cP x0)
% 28.19/28.45 Instantiate: Xy0:=x0:fofType
% 28.19/28.45 Found x30 as proof of (cP Xy0)
% 28.19/28.45 Found x30:=(x3 x40):(cP Xy0)
% 28.19/28.45 Found (x3 x40) as proof of (cP Xy)
% 28.19/28.45 Found (x3 x40) as proof of (cP Xy)
% 28.19/28.45 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 28.19/28.45 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 28.19/28.45 Found x50:(cP x0)
% 28.19/28.45 Instantiate: Xy0:=x0:fofType
% 28.19/28.45 Found x50 as proof of (cP Xy0)
% 28.19/28.45 Found x50:(cP x0)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x50 as proof of (cP Xy)
% 28.19/28.45 Found x30:(cP x0)
% 28.19/28.45 Instantiate: Xy0:=x0:fofType
% 28.19/28.45 Found x30 as proof of (cP Xy0)
% 28.19/28.45 Found x40:(cP Xy0)
% 28.19/28.45 Instantiate: Xy:=Xy0:fofType
% 28.19/28.45 Found x40 as proof of (cP Xy)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x20 as proof of (cP x0)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy0:=Xy:fofType
% 28.19/28.45 Found x20 as proof of (cP Xy0)
% 28.19/28.45 Found x40:(cP Xy0)
% 28.19/28.45 Instantiate: Xy0:=x0:fofType
% 28.19/28.45 Found x40 as proof of (cP x0)
% 28.19/28.45 Found x40:(cP Xy0)
% 28.19/28.45 Instantiate: Xy0:=x0:fofType
% 28.19/28.45 Found x40 as proof of (cP x0)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy0:=Xy:fofType
% 28.19/28.45 Found x20 as proof of (cP Xy0)
% 28.19/28.45 Found x40:(cP Xy0)
% 28.19/28.45 Instantiate: Xy:=Xy0:fofType
% 28.19/28.45 Found x40 as proof of (cP Xy)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x20 as proof of (cP x0)
% 28.19/28.45 Found x31:(cP Xy0)
% 28.19/28.45 Instantiate: Xy0:=Xy:fofType
% 28.19/28.45 Found (fun (x4:((cP Xy0)->(cP x1)))=> x31) as proof of (cP Xy)
% 28.19/28.45 Found (fun (x4:((cP Xy0)->(cP x1)))=> x31) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 28.19/28.45 Found x21:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x21 as proof of (cP x0)
% 28.19/28.45 Found x21:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x21 as proof of (cP x0)
% 28.19/28.45 Found x31:(cP x0)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x31 as proof of (cP Xy)
% 28.19/28.45 Found x22:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy0:fofType
% 28.19/28.45 Found x22 as proof of (cP Xy0)
% 28.19/28.45 Found x21:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x21 as proof of (cP x0)
% 28.19/28.45 Found x20:=(x2 x30):(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy0:fofType
% 28.19/28.45 Found (x2 x30) as proof of (cP Xy0)
% 28.19/28.45 Found (x2 x30) as proof of (cP Xy0)
% 28.19/28.45 Found x50:=(x5 x30):(cP Xy1)
% 28.19/28.45 Instantiate: Xy1:=Xy0:fofType
% 28.19/28.45 Found (x5 x30) as proof of (cP Xy0)
% 28.19/28.45 Found (x5 x30) as proof of (cP Xy0)
% 28.19/28.45 Found x50:=(x5 x60):(cP Xy1)
% 28.19/28.45 Instantiate: Xy1:=Xy0:fofType
% 28.19/28.45 Found (x5 x60) as proof of (cP Xy0)
% 28.19/28.45 Found (x5 x60) as proof of (cP Xy0)
% 28.19/28.45 Found x20:=(x2 x60):(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy0:fofType
% 28.19/28.45 Found (x2 x60) as proof of (cP Xy0)
% 28.19/28.45 Found (x2 x60) as proof of (cP Xy0)
% 28.19/28.45 Found x20:=(x2 x30):(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy1:fofType
% 28.19/28.45 Found (x2 x30) as proof of (cP Xy1)
% 28.19/28.45 Found x40:=(x4 x30):(cP Xy0)
% 28.19/28.45 Instantiate: Xy0:=Xy1:fofType
% 28.19/28.45 Found (x4 x30) as proof of (cP Xy1)
% 28.19/28.45 Found x6:(cP x5)
% 28.19/28.45 Instantiate: Xy:=x5:fofType
% 28.19/28.45 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy1:fofType
% 28.19/28.45 Found x20 as proof of (cP Xy1)
% 28.19/28.45 Found x21:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x21 as proof of (cP x0)
% 28.19/28.45 Found x50:(cP x0)
% 28.19/28.45 Found x50 as proof of (cP x0)
% 28.19/28.45 Found (x2 x50) as proof of (cP Xy1)
% 28.19/28.45 Found (x2 x50) as proof of (cP Xy1)
% 28.19/28.45 Found (x2 x50) as proof of (cP Xy1)
% 28.19/28.45 Found x50:(cP x0)
% 28.19/28.45 Found x50 as proof of (cP x0)
% 28.19/28.45 Found (x4 x50) as proof of (cP Xy1)
% 28.19/28.45 Found (x4 x50) as proof of (cP Xy1)
% 28.19/28.45 Found (x4 x50) as proof of (cP Xy1)
% 28.19/28.45 Found x30:(cP x0)
% 28.19/28.45 Found x30 as proof of (cP x0)
% 28.19/28.45 Found (x2 x30) as proof of (cP Xy1)
% 28.19/28.45 Found (x2 x30) as proof of (cP Xy1)
% 28.19/28.45 Found (x2 x30) as proof of (cP Xy1)
% 28.19/28.45 Found x30:(cP x0)
% 28.19/28.45 Found x30 as proof of (cP x0)
% 28.19/28.45 Found (x4 x30) as proof of (cP Xy1)
% 28.19/28.45 Found (x4 x30) as proof of (cP Xy1)
% 28.19/28.45 Found (x4 x30) as proof of (cP Xy1)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x20 as proof of (cP x0)
% 28.19/28.45 Found x30:(cP x0)
% 28.19/28.45 Instantiate: Xy:=x0:fofType
% 28.19/28.45 Found x30 as proof of (cP Xy)
% 28.19/28.45 Found x20:(cP Xy)
% 28.19/28.45 Instantiate: Xy:=Xy1:fofType
% 28.19/28.45 Found x20 as proof of (cP Xy1)
% 28.19/28.45 Found x30:=(x3 x40):(cP Xy0)
% 28.19/28.45 Instantiate: Xy0:=Xy:fofType
% 28.19/28.45 Found (x3 x40) as proof of (cP Xy)
% 28.95/29.12 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 28.95/29.12 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 28.95/29.12 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 28.95/29.12 Found x20:=(x2 x32):(cP Xy)
% 28.95/29.12 Instantiate: Xy:=Xy0:fofType
% 28.95/29.12 Found (x2 x32) as proof of (cP Xy0)
% 28.95/29.12 Found (x2 x32) as proof of (cP Xy0)
% 28.95/29.12 Found x2:(cP x1)
% 28.95/29.12 Instantiate: Xy0:=x1:fofType
% 28.95/29.12 Found x2 as proof of (cP Xy0)
% 28.95/29.12 Found (x6 x2) as proof of (cP x3)
% 28.95/29.12 Found (x6 x2) as proof of (cP x3)
% 28.95/29.12 Found x4:(cP x3)
% 28.95/29.12 Instantiate: Xy0:=x3:fofType
% 28.95/29.12 Found x4 as proof of (cP Xy0)
% 28.95/29.12 Found (x6 x4) as proof of (cP x1)
% 28.95/29.12 Found (x6 x4) as proof of (cP x1)
% 28.95/29.12 Found x50:(cP x0)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x50 as proof of (cP Xy)
% 28.95/29.12 Found x30:(cP x0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x30 as proof of (cP Xy0)
% 28.95/29.12 Found x30:(cP x0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x30 as proof of (cP Xy0)
% 28.95/29.12 Found x50:(cP x0)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x50 as proof of (cP Xy)
% 28.95/29.12 Found x30:(cP x0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x30 as proof of (cP Xy0)
% 28.95/29.12 Found x40:(cP x1)
% 28.95/29.12 Instantiate: Xy0:=x1:fofType
% 28.95/29.12 Found x40 as proof of (cP Xy0)
% 28.95/29.12 Found x30:(cP x0)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x30 as proof of (cP Xy)
% 28.95/29.12 Found x20:(cP Xy)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x20 as proof of (cP x0)
% 28.95/29.12 Found x20:(cP Xy)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x20 as proof of (cP x0)
% 28.95/29.12 Found x20:(cP Xy)
% 28.95/29.12 Instantiate: Xy0:=Xy:fofType
% 28.95/29.12 Found x20 as proof of (cP Xy0)
% 28.95/29.12 Found x31:(cP x0)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x31 as proof of (cP Xy)
% 28.95/29.12 Found x40:(cP Xy0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x40 as proof of (cP x0)
% 28.95/29.12 Found x21:(cP Xy)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x21 as proof of (cP x0)
% 28.95/29.12 Found x40:(cP Xy0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x40 as proof of (cP x0)
% 28.95/29.12 Found x40:(cP Xy0)
% 28.95/29.12 Instantiate: Xy:=Xy0:fofType
% 28.95/29.12 Found x40 as proof of (cP Xy)
% 28.95/29.12 Found x30:=(x3 x40):(cP Xy0)
% 28.95/29.12 Found (x3 x40) as proof of (cP Xy)
% 28.95/29.12 Found (x3 x40) as proof of (cP Xy)
% 28.95/29.12 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 28.95/29.12 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 28.95/29.12 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 28.95/29.12 Found x21:(cP Xy)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x21 as proof of (cP x0)
% 28.95/29.12 Found x31:(cP x0)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x31 as proof of (cP Xy)
% 28.95/29.12 Found x21:(cP Xy)
% 28.95/29.12 Instantiate: Xy:=x0:fofType
% 28.95/29.12 Found x21 as proof of (cP x0)
% 28.95/29.12 Found x20:=(x2 x60):(cP Xy)
% 28.95/29.12 Instantiate: Xy:=Xy0:fofType
% 28.95/29.12 Found (x2 x60) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 28.95/29.12 Found x50:=(x5 x60):(cP Xy1)
% 28.95/29.12 Instantiate: Xy1:=Xy0:fofType
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 28.95/29.12 Found x60:(cP x3)
% 28.95/29.12 Found x60 as proof of (cP x3)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found x20:=(x2 x30):(cP Xy)
% 28.95/29.12 Instantiate: Xy:=Xy0:fofType
% 28.95/29.12 Found (x2 x30) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 28.95/29.12 Found x50:=(x5 x30):(cP Xy1)
% 28.95/29.12 Instantiate: Xy1:=Xy0:fofType
% 28.95/29.12 Found (x5 x30) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 28.95/29.12 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 28.95/29.12 Found x60:(cP x1)
% 28.95/29.12 Found x60 as proof of (cP x1)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found x31:(cP x0)
% 28.95/29.12 Found x31 as proof of (cP x0)
% 28.95/29.12 Found (x2 x31) as proof of (cP Xy0)
% 28.95/29.12 Found (x2 x31) as proof of (cP Xy0)
% 28.95/29.12 Found x50:=(x5 x60):(cP Xy0)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found x50:=(x5 x60):(cP Xy0)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found (x5 x60) as proof of (cP Xy)
% 28.95/29.12 Found x30:(cP Xy0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x30 as proof of (cP x0)
% 28.95/29.12 Found x40:(cP x0)
% 28.95/29.12 Instantiate: Xy0:=x0:fofType
% 28.95/29.12 Found x40 as proof of (cP Xy0)
% 29.82/30.00 Found x50:(cP x0)
% 29.82/30.00 Found x50 as proof of (cP x0)
% 29.82/30.00 Found (x2 x50) as proof of (cP Xy1)
% 29.82/30.00 Found (x2 x50) as proof of (cP Xy1)
% 29.82/30.00 Found x50:(cP x0)
% 29.82/30.00 Found x50 as proof of (cP x0)
% 29.82/30.00 Found (x4 x50) as proof of (cP Xy1)
% 29.82/30.00 Found (x4 x50) as proof of (cP Xy1)
% 29.82/30.00 Found x30:(cP x0)
% 29.82/30.00 Found x30 as proof of (cP x0)
% 29.82/30.00 Found (x4 x30) as proof of (cP Xy1)
% 29.82/30.00 Found (x4 x30) as proof of (cP Xy1)
% 29.82/30.00 Found x30:(cP x0)
% 29.82/30.00 Found x30 as proof of (cP x0)
% 29.82/30.00 Found (x2 x30) as proof of (cP Xy1)
% 29.82/30.00 Found (x2 x30) as proof of (cP Xy1)
% 29.82/30.00 Found x21:(cP Xy)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x21 as proof of (cP x0)
% 29.82/30.00 Found x6:(cP x5)
% 29.82/30.00 Instantiate: Xy0:=x5:fofType
% 29.82/30.00 Found x6 as proof of (cP Xy0)
% 29.82/30.00 Found (x4 x6) as proof of (cP x1)
% 29.82/30.00 Found (x4 x6) as proof of (cP x1)
% 29.82/30.00 Found x40:(cP Xy0)
% 29.82/30.00 Instantiate: Xy:=Xy0:fofType
% 29.82/30.00 Found x40 as proof of (cP Xy)
% 29.82/30.00 Found x50:(cP x0)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x50 as proof of (cP Xy)
% 29.82/30.00 Found x20:(cP Xy)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x20 as proof of (cP x0)
% 29.82/30.00 Found x40:=(x4 x30):(cP Xy0)
% 29.82/30.00 Found (x4 x30) as proof of (cP Xy1)
% 29.82/30.00 Found (x4 x30) as proof of (cP Xy1)
% 29.82/30.00 Found x20:=(x2 x50):(cP Xy)
% 29.82/30.00 Found (x2 x50) as proof of (cP Xy1)
% 29.82/30.00 Found (x2 x50) as proof of (cP Xy1)
% 29.82/30.00 Found x40:=(x4 x50):(cP Xy0)
% 29.82/30.00 Found (x4 x50) as proof of (cP Xy1)
% 29.82/30.00 Found (x4 x50) as proof of (cP Xy1)
% 29.82/30.00 Found x20:=(x2 x30):(cP Xy)
% 29.82/30.00 Found (x2 x30) as proof of (cP Xy1)
% 29.82/30.00 Found (x2 x30) as proof of (cP Xy1)
% 29.82/30.00 Found x20:=(x2 x32):(cP Xy)
% 29.82/30.00 Instantiate: Xy:=Xy0:fofType
% 29.82/30.00 Found (x2 x32) as proof of (cP Xy0)
% 29.82/30.00 Found (x2 x32) as proof of (cP Xy0)
% 29.82/30.00 Found x40:(cP x1)
% 29.82/30.00 Found x40 as proof of (cP x1)
% 29.82/30.00 Found (x3 x40) as proof of (cP Xy)
% 29.82/30.00 Found (x3 x40) as proof of (cP Xy)
% 29.82/30.00 Found (x3 x40) as proof of (cP Xy)
% 29.82/30.00 Found x6:(cP x5)
% 29.82/30.00 Instantiate: Xy0:=x5:fofType
% 29.82/30.00 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 29.82/30.00 Found x30:(cP x0)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x30 as proof of (cP Xy)
% 29.82/30.00 Found x30:(cP x0)
% 29.82/30.00 Instantiate: Xy0:=x0:fofType
% 29.82/30.00 Found x30 as proof of (cP Xy0)
% 29.82/30.00 Found x21:(cP Xy)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x21 as proof of (cP x0)
% 29.82/30.00 Found x20:(cP Xy)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x20 as proof of (cP x0)
% 29.82/30.00 Found x20:(cP Xy)
% 29.82/30.00 Instantiate: Xy0:=Xy:fofType
% 29.82/30.00 Found x20 as proof of (cP Xy0)
% 29.82/30.00 Found x20:(cP Xy)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x20 as proof of (cP x0)
% 29.82/30.00 Found x30:=(x3 x40):(cP Xy0)
% 29.82/30.00 Found (x3 x40) as proof of (cP Xy)
% 29.82/30.00 Found (x3 x40) as proof of (cP Xy)
% 29.82/30.00 Found (x3 x40) as proof of (cP Xy)
% 29.82/30.00 Found x8:(cP x7)
% 29.82/30.00 Instantiate: Xy1:=x7:fofType
% 29.82/30.00 Found x8 as proof of (cP Xy1)
% 29.82/30.00 Found (x6 x8) as proof of (cP x0)
% 29.82/30.00 Found (x6 x8) as proof of (cP x0)
% 29.82/30.00 Found x8:(cP x7)
% 29.82/30.00 Instantiate: Xy:=x7:fofType
% 29.82/30.00 Found x8 as proof of (cP Xy)
% 29.82/30.00 Found (x3 x8) as proof of (cP x0)
% 29.82/30.00 Found (x3 x8) as proof of (cP x0)
% 29.82/30.00 Found x8:(cP x7)
% 29.82/30.00 Instantiate: Xy1:=x7:fofType
% 29.82/30.00 Found x8 as proof of (cP Xy1)
% 29.82/30.00 Found (x6 x8) as proof of (cP x0)
% 29.82/30.00 Found (x6 x8) as proof of (cP x0)
% 29.82/30.00 Found x8:(cP x7)
% 29.82/30.00 Instantiate: Xy:=x7:fofType
% 29.82/30.00 Found x8 as proof of (cP Xy)
% 29.82/30.00 Found (x3 x8) as proof of (cP x0)
% 29.82/30.00 Found (x3 x8) as proof of (cP x0)
% 29.82/30.00 Found x21:(cP Xy)
% 29.82/30.00 Instantiate: Xy:=x0:fofType
% 29.82/30.00 Found x21 as proof of (cP x0)
% 29.82/30.00 Found x7:(cP x6)
% 29.82/30.00 Instantiate: Xy:=x6:fofType
% 29.82/30.00 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 29.82/30.00 Found x20:=(x2 x30):(cP Xy)
% 29.82/30.00 Instantiate: Xy:=Xy0:fofType
% 29.82/30.00 Found (x2 x30) as proof of (cP Xy0)
% 29.82/30.00 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 29.82/30.00 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 29.82/30.00 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 29.82/30.00 Found x50:=(x5 x30):(cP Xy1)
% 29.82/30.00 Instantiate: Xy1:=Xy0:fofType
% 29.82/30.00 Found (x5 x30) as proof of (cP Xy0)
% 29.82/30.00 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 29.82/30.00 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 29.82/30.00 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 29.82/30.00 Found x20:=(x2 x60):(cP Xy)
% 29.82/30.00 Instantiate: Xy:=Xy0:fofType
% 29.82/30.00 Found (x2 x60) as proof of (cP Xy0)
% 29.82/30.00 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 29.82/30.00 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 29.82/30.00 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 29.82/30.00 Found x50:=(x5 x60):(cP Xy1)
% 30.63/30.81 Instantiate: Xy1:=Xy0:fofType
% 30.63/30.81 Found (x5 x60) as proof of (cP Xy0)
% 30.63/30.81 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 30.63/30.81 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 30.63/30.81 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 30.63/30.81 Found x41:(cP x0)
% 30.63/30.81 Found x41 as proof of (cP x0)
% 30.63/30.81 Found (x3 x41) as proof of (cP Xy)
% 30.63/30.81 Found (x3 x41) as proof of (cP Xy)
% 30.63/30.81 Found (x3 x41) as proof of (cP Xy)
% 30.63/30.81 Found x31:(cP x0)
% 30.63/30.81 Instantiate: Xy:=x0:fofType
% 30.63/30.81 Found x31 as proof of (cP Xy)
% 30.63/30.81 Found x30:(cP x0)
% 30.63/30.81 Found x30 as proof of (cP x0)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy1)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy1)
% 30.63/30.81 Found x50:(cP x0)
% 30.63/30.81 Found x50 as proof of (cP x0)
% 30.63/30.81 Found (x2 x50) as proof of (cP Xy1)
% 30.63/30.81 Found (x2 x50) as proof of (cP Xy1)
% 30.63/30.81 Found x50:(cP x0)
% 30.63/30.81 Found x50 as proof of (cP x0)
% 30.63/30.81 Found (x4 x50) as proof of (cP Xy1)
% 30.63/30.81 Found (x4 x50) as proof of (cP Xy1)
% 30.63/30.81 Found x30:(cP x0)
% 30.63/30.81 Found x30 as proof of (cP x0)
% 30.63/30.81 Found (x4 x30) as proof of (cP Xy1)
% 30.63/30.81 Found (x4 x30) as proof of (cP Xy1)
% 30.63/30.81 Found x40:(cP Xy0)
% 30.63/30.81 Instantiate: Xy:=Xy0:fofType
% 30.63/30.81 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (cP Xy)
% 30.63/30.81 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 30.63/30.81 Found x20:(cP Xy)
% 30.63/30.81 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 30.63/30.81 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 30.63/30.81 Found x20:=(x2 x30):(cP Xy)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy1)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy1)
% 30.63/30.81 Found x40:=(x4 x30):(cP Xy0)
% 30.63/30.81 Found (x4 x30) as proof of (cP Xy1)
% 30.63/30.81 Found (x4 x30) as proof of (cP Xy1)
% 30.63/30.81 Found x30:(cP x0)
% 30.63/30.81 Instantiate: Xy:=x0:fofType
% 30.63/30.81 Found x30 as proof of (cP Xy)
% 30.63/30.81 Found x20:(cP Xy)
% 30.63/30.81 Instantiate: Xy:=x0:fofType
% 30.63/30.81 Found x20 as proof of (cP x0)
% 30.63/30.81 Found x20:(cP Xy)
% 30.63/30.81 Instantiate: Xy:=x0:fofType
% 30.63/30.81 Found x20 as proof of (cP x0)
% 30.63/30.81 Found x20:=(x2 x60):(cP Xy)
% 30.63/30.81 Found (x2 x60) as proof of (cP Xy0)
% 30.63/30.81 Found (x2 x60) as proof of (cP Xy0)
% 30.63/30.81 Found (x2 x60) as proof of (cP Xy0)
% 30.63/30.81 Found x50:=(x5 x30):(cP Xy1)
% 30.63/30.81 Found (x5 x30) as proof of (cP Xy0)
% 30.63/30.81 Found (x5 x30) as proof of (cP Xy0)
% 30.63/30.81 Found (x5 x30) as proof of (cP Xy0)
% 30.63/30.81 Found x20:=(x2 x30):(cP Xy)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy0)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy0)
% 30.63/30.81 Found (x2 x30) as proof of (cP Xy0)
% 30.63/30.81 Found x50:=(x5 x60):(cP Xy1)
% 30.63/30.81 Found (x5 x60) as proof of (cP Xy0)
% 30.63/30.81 Found (x5 x60) as proof of (cP Xy0)
% 30.63/30.81 Found (x5 x60) as proof of (cP Xy0)
% 30.63/30.81 Found x20:=(x2 x31):(cP Xy)
% 30.63/30.81 Instantiate: Xy:=Xy0:fofType
% 30.63/30.81 Found (x2 x31) as proof of (cP Xy0)
% 30.63/30.81 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 30.63/30.81 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 30.63/30.81 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 30.63/30.81 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 30.63/30.81 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 30.63/30.81 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 30.63/30.81 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x31))) as proof of (cP Xy0)
% 30.63/30.81 Found x30:=(x3 x40):(cP Xy0)
% 30.63/30.81 Instantiate: Xy0:=Xy:fofType
% 30.63/30.81 Found (x3 x40) as proof of (cP Xy)
% 30.63/30.81 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 30.63/30.81 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 30.63/30.81 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 30.63/30.81 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 30.63/30.81 Found ((ex_ind1 (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 30.63/30.81 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x0)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 30.63/30.81 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x0)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 30.80/30.99 Found x20:=(x2 x32):(cP Xy)
% 30.80/30.99 Instantiate: Xy:=Xy0:fofType
% 30.80/30.99 Found (x2 x32) as proof of (cP Xy0)
% 30.80/30.99 Found (x2 x32) as proof of (cP Xy0)
% 30.80/30.99 Found x31:(cP Xy0)
% 30.80/30.99 Instantiate: Xy0:=Xy:fofType
% 30.80/30.99 Found (fun (x4:((cP Xy0)->(cP x1)))=> x31) as proof of (cP Xy)
% 30.80/30.99 Found (fun (x4:((cP Xy0)->(cP x1)))=> x31) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 30.80/30.99 Found x40:(cP x1)
% 30.80/30.99 Found x40 as proof of (cP x1)
% 30.80/30.99 Found (x3 x40) as proof of (cP Xy)
% 30.80/30.99 Found (x3 x40) as proof of (cP Xy)
% 30.80/30.99 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 30.80/30.99 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 30.80/30.99 Found x30:=(x3 x41):(cP Xy0)
% 30.80/30.99 Instantiate: Xy0:=Xy:fofType
% 30.80/30.99 Found (x3 x41) as proof of (cP Xy)
% 30.80/30.99 Found (x3 x41) as proof of (cP Xy)
% 30.80/30.99 Found x50:(cP Xy0)
% 30.80/30.99 Instantiate: Xy0:=x0:fofType
% 30.80/30.99 Found x50 as proof of (cP x0)
% 30.80/30.99 Found x30:=(x3 x40):(cP Xy0)
% 30.80/30.99 Found (x3 x40) as proof of (cP Xy)
% 30.80/30.99 Found (x3 x40) as proof of (cP Xy)
% 30.80/30.99 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 30.80/30.99 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 30.80/30.99 Found x50:=(x5 x30):(cP Xy1)
% 30.80/30.99 Instantiate: Xy1:=Xy0:fofType
% 30.80/30.99 Found (x5 x30) as proof of (cP Xy0)
% 30.80/30.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 30.80/30.99 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 30.80/30.99 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 30.80/30.99 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 30.80/30.99 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 30.80/30.99 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 30.80/30.99 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 30.80/30.99 Found (fun (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (cP Xy0)
% 30.80/30.99 Found (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (forall (Xy:fofType), (cP Xy))
% 30.80/30.99 Found (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))
% 30.80/30.99 Found ((conj00 (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 30.80/30.99 Found (((conj0 ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 31.13/31.31 Found ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 31.13/31.31 Found ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 31.13/31.31 Found x40:(cP Xy0)
% 31.13/31.31 Instantiate: Xy:=Xy0:fofType
% 31.13/31.31 Found x40 as proof of (cP Xy)
% 31.13/31.31 Found x50:(cP x0)
% 31.13/31.31 Instantiate: Xy:=x0:fofType
% 31.13/31.31 Found x50 as proof of (cP Xy)
% 31.13/31.31 Found x40:(cP Xy0)
% 31.13/31.31 Instantiate: Xy:=Xy0:fofType
% 31.13/31.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (cP Xy)
% 31.13/31.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 31.13/31.31 Found x20:(cP Xy)
% 31.13/31.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 31.13/31.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 31.13/31.31 Found x20:(cP Xy)
% 31.13/31.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 31.13/31.31 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 31.13/31.31 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 31.13/31.31 Found x30:(cP Xy)
% 31.13/31.31 Instantiate: x5:=Xy:fofType
% 31.13/31.31 Found x30 as proof of (cP x5)
% 31.13/31.31 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 31.13/31.31 Found ((ex_intro00 Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 31.13/31.31 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 31.13/31.31 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 31.13/31.31 Found (fun (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 31.13/31.31 Found (fun (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30)) as proof of (((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 31.13/31.31 Found (fun (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1)))) as proof of (((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 31.13/31.31 Found (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1)))) as proof of (((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 31.13/31.31 Found (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1)))) as proof of (((cP x1)->(cP Xy))->(((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 32.07/32.32 Found (and_rect00 (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 32.07/32.32 Found ((and_rect0 ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 32.07/32.32 Found (((fun (P:Type) (x3:(((cP x1)->(cP Xy))->(((cP Xy)->(cP x1))->P)))=> (((((and_rect ((cP x1)->(cP Xy))) ((cP Xy)->(cP x1))) P) x3) x20)) ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 32.07/32.32 Found x60:(cP x0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 32.07/32.32 Found x30:(cP x0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 32.07/32.32 Found x22:(cP Xy)
% 32.07/32.32 Found x22 as proof of (cP Xy0)
% 32.07/32.32 Found x22:(cP Xy)
% 32.07/32.32 Instantiate: Xy:=Xy0:fofType
% 32.07/32.32 Found x22 as proof of (cP Xy0)
% 32.07/32.32 Found x21:(cP Xy)
% 32.07/32.32 Instantiate: Xy:=x0:fofType
% 32.07/32.32 Found x21 as proof of (cP x0)
% 32.07/32.32 Found x20:=(x2 x30):(cP Xy)
% 32.07/32.32 Found (x2 x30) as proof of (cP Xy1)
% 32.07/32.32 Found (x2 x30) as proof of (cP Xy1)
% 32.07/32.32 Found x40:=(x4 x30):(cP Xy0)
% 32.07/32.32 Found (x4 x30) as proof of (cP Xy1)
% 32.07/32.32 Found (x4 x30) as proof of (cP Xy1)
% 32.07/32.32 Found x40:(cP x0)
% 32.07/32.32 Instantiate: Xy0:=x0:fofType
% 32.07/32.32 Found x40 as proof of (cP Xy0)
% 32.07/32.32 Found x20:(cP Xy)
% 32.07/32.32 Instantiate: Xy:=x0:fofType
% 32.07/32.32 Found x20 as proof of (cP x0)
% 32.07/32.32 Found x30:(cP Xy0)
% 32.07/32.32 Instantiate: Xy0:=x0:fofType
% 32.07/32.32 Found x30 as proof of (cP x0)
% 32.07/32.32 Found x20:(cP Xy)
% 32.07/32.32 Instantiate: Xy:=x0:fofType
% 32.07/32.32 Found x20 as proof of (cP x0)
% 32.07/32.32 Found x20:(cP Xy)
% 32.07/32.32 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 32.07/32.32 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 32.07/32.32 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 32.07/32.32 Found x20:=(x2 x30):(cP Xy)
% 32.07/32.32 Found (x2 x30) as proof of (cP Xy0)
% 32.07/32.32 Found (x2 x30) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 32.07/32.32 Found x50:=(x5 x60):(cP Xy1)
% 32.07/32.32 Found (x5 x60) as proof of (cP Xy0)
% 32.07/32.32 Found (x5 x60) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 32.07/32.32 Found x20:=(x2 x60):(cP Xy)
% 32.07/32.32 Found (x2 x60) as proof of (cP Xy0)
% 32.07/32.32 Found (x2 x60) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 32.07/32.32 Found x50:=(x5 x30):(cP Xy1)
% 32.07/32.32 Found (x5 x30) as proof of (cP Xy0)
% 32.07/32.32 Found (x5 x30) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 32.07/32.32 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 32.07/32.32 Found x30:(cP x0)
% 32.07/32.32 Instantiate: Xy:=x0:fofType
% 32.07/32.32 Found x30 as proof of (cP Xy)
% 32.07/32.32 Found x20:(cP Xy)
% 32.07/32.32 Instantiate: Xy:=x0:fofType
% 32.07/32.32 Found x20 as proof of (cP x0)
% 32.07/32.32 Found x22:(cP Xy)
% 32.07/32.32 Instantiate: Xy:=Xy0:fofType
% 32.07/32.32 Found x22 as proof of (cP Xy0)
% 32.07/32.32 Found x20:=(x2 x32):(cP Xy)
% 32.07/32.32 Instantiate: Xy:=Xy0:fofType
% 32.07/32.32 Found (x2 x32) as proof of (cP Xy0)
% 32.07/32.32 Found x40:(cP x1)
% 32.07/32.32 Found x40 as proof of (cP x1)
% 32.07/32.32 Found (x3 x40) as proof of (cP Xy)
% 32.07/32.32 Found (x3 x40) as proof of (cP Xy)
% 32.07/32.32 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 32.07/32.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 32.07/32.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 32.07/32.32 Found x30:=(x3 x40):(cP Xy0)
% 32.07/32.32 Found (x3 x40) as proof of (cP Xy)
% 32.07/32.32 Found (x3 x40) as proof of (cP Xy)
% 32.07/32.32 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 32.07/32.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 32.07/32.32 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 32.07/32.32 Found x20:=(x2 x3):(cP x3)
% 32.95/33.13 Found (x2 x3) as proof of (cP x3)
% 32.95/33.13 Found (x2 x3) as proof of (cP x3)
% 32.95/33.13 Found (ex_intro000 (x2 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 32.95/33.13 Found x8:(cP x7)
% 32.95/33.13 Instantiate: Xy:=x7:fofType
% 32.95/33.13 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 32.95/33.13 Found x8:(cP x7)
% 32.95/33.13 Instantiate: Xy1:=x7:fofType
% 32.95/33.13 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 32.95/33.13 Found x60:(cP x3)
% 32.95/33.13 Found x60 as proof of (cP x3)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy)
% 32.95/33.13 Found x60:(cP x0)
% 32.95/33.13 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 32.95/33.13 Found x60:(cP x1)
% 32.95/33.13 Found x60 as proof of (cP x1)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy)
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Instantiate: Xy0:=x0:fofType
% 32.95/33.13 Found x30 as proof of (cP Xy0)
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Instantiate: Xy0:=x0:fofType
% 32.95/33.13 Found x30 as proof of (cP Xy0)
% 32.95/33.13 Found x50:(cP x0)
% 32.95/33.13 Instantiate: Xy:=x0:fofType
% 32.95/33.13 Found x50 as proof of (cP Xy)
% 32.95/33.13 Found x50:(cP x0)
% 32.95/33.13 Instantiate: Xy:=x0:fofType
% 32.95/33.13 Found x50 as proof of (cP Xy)
% 32.95/33.13 Found x22:(cP Xy)
% 32.95/33.13 Instantiate: Xy:=Xy0:fofType
% 32.95/33.13 Found x22 as proof of (cP Xy0)
% 32.95/33.13 Found x21:(cP Xy)
% 32.95/33.13 Instantiate: Xy:=x0:fofType
% 32.95/33.13 Found x21 as proof of (cP x0)
% 32.95/33.13 Found x22:(cP Xy)
% 32.95/33.13 Found x22 as proof of (cP Xy0)
% 32.95/33.13 Found x21:(cP Xy)
% 32.95/33.13 Instantiate: Xy:=x0:fofType
% 32.95/33.13 Found x21 as proof of (cP x0)
% 32.95/33.13 Found x22:(cP Xy)
% 32.95/33.13 Instantiate: Xy:=Xy0:fofType
% 32.95/33.13 Found x22 as proof of (cP Xy0)
% 32.95/33.13 Found x50:(cP x0)
% 32.95/33.13 Found x50 as proof of (cP x0)
% 32.95/33.13 Found (x2 x50) as proof of (cP Xy1)
% 32.95/33.13 Found (x2 x50) as proof of (cP Xy1)
% 32.95/33.13 Found x50:(cP x0)
% 32.95/33.13 Found x50 as proof of (cP x0)
% 32.95/33.13 Found (x4 x50) as proof of (cP Xy1)
% 32.95/33.13 Found (x4 x50) as proof of (cP Xy1)
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Found x30 as proof of (cP x0)
% 32.95/33.13 Found (x4 x30) as proof of (cP Xy1)
% 32.95/33.13 Found (x4 x30) as proof of (cP Xy1)
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Found x30 as proof of (cP x0)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy1)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy1)
% 32.95/33.13 Found x20:=(x2 x60):(cP Xy)
% 32.95/33.13 Found (x2 x60) as proof of (cP Xy0)
% 32.95/33.13 Found (x2 x60) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 32.95/33.13 Found x50:=(x5 x60):(cP Xy1)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy0)
% 32.95/33.13 Found (x5 x60) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 32.95/33.13 Found x30:(cP Xy0)
% 32.95/33.13 Instantiate: Xy0:=x0:fofType
% 32.95/33.13 Found x30 as proof of (cP x0)
% 32.95/33.13 Found x50:=(x5 x30):(cP Xy1)
% 32.95/33.13 Found (x5 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (x5 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 32.95/33.13 Found x20:=(x2 x30):(cP Xy)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 32.95/33.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 32.95/33.13 Found x40:(cP x0)
% 32.95/33.13 Instantiate: Xy0:=x0:fofType
% 32.95/33.13 Found x40 as proof of (cP Xy0)
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Found x30 as proof of (cP x0)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (x2 x30) as proof of (cP Xy0)
% 32.95/33.13 Found x30:(cP x0)
% 32.95/33.13 Found x30 as proof of (cP x0)
% 32.95/33.13 Found (x5 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (x5 x30) as proof of (cP Xy0)
% 32.95/33.13 Found (x5 x30) as proof of (cP Xy0)
% 34.11/34.31 Found x60:(cP x0)
% 34.11/34.31 Found x60 as proof of (cP x0)
% 34.11/34.31 Found (x5 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (x5 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (x5 x60) as proof of (cP Xy0)
% 34.11/34.31 Found x60:(cP x0)
% 34.11/34.31 Found x60 as proof of (cP x0)
% 34.11/34.31 Found (x2 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (x2 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (x2 x60) as proof of (cP Xy0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy0:=Xy:fofType
% 34.11/34.31 Found x20 as proof of (cP Xy0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x22:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=Xy0:fofType
% 34.11/34.31 Found x22 as proof of (cP Xy0)
% 34.11/34.31 Found x40:(cP x1)
% 34.11/34.31 Found x40 as proof of (cP x1)
% 34.11/34.31 Found (x3 x40) as proof of (cP Xy)
% 34.11/34.31 Found (x3 x40) as proof of (cP Xy)
% 34.11/34.31 Found (x3 x40) as proof of (cP Xy)
% 34.11/34.31 Found x20:=(x2 x32):(cP Xy)
% 34.11/34.31 Found (x2 x32) as proof of (cP Xy0)
% 34.11/34.31 Found (x2 x32) as proof of (cP Xy0)
% 34.11/34.31 Found (x2 x32) as proof of (cP Xy0)
% 34.11/34.31 Found x6:(cP x5)
% 34.11/34.31 Instantiate: Xy:=x5:fofType
% 34.11/34.31 Found x6 as proof of (cP Xy)
% 34.11/34.31 Found (x3 x6) as proof of (cP x0)
% 34.11/34.31 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x31:(cP x0)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x31 as proof of (cP Xy)
% 34.11/34.31 Found x60:(cP x0)
% 34.11/34.31 Instantiate: Xy0:=x0:fofType
% 34.11/34.31 Found x60 as proof of (cP Xy0)
% 34.11/34.31 Found x21:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x21 as proof of (cP x0)
% 34.11/34.31 Found x22:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=Xy0:fofType
% 34.11/34.31 Found x22 as proof of (cP Xy0)
% 34.11/34.31 Found x22:(cP Xy)
% 34.11/34.31 Found x22 as proof of (cP Xy0)
% 34.11/34.31 Found x6:(cP x5)
% 34.11/34.31 Instantiate: Xy0:=x5:fofType
% 34.11/34.31 Found x6 as proof of (cP Xy0)
% 34.11/34.31 Found (x4 x6) as proof of (cP x1)
% 34.11/34.31 Found (fun (x6:(cP x5))=> (x4 x6)) as proof of (cP x1)
% 34.11/34.31 Found x30:(cP x0)
% 34.11/34.31 Found x30 as proof of (cP x0)
% 34.11/34.31 Found (x2 x30) as proof of (cP Xy1)
% 34.11/34.31 Found (x2 x30) as proof of (cP Xy1)
% 34.11/34.31 Found x30:(cP x0)
% 34.11/34.31 Found x30 as proof of (cP x0)
% 34.11/34.31 Found (x4 x30) as proof of (cP Xy1)
% 34.11/34.31 Found (x4 x30) as proof of (cP Xy1)
% 34.11/34.31 Found x20:=(x2 x3):(cP x3)
% 34.11/34.31 Found (x2 x3) as proof of (cP x3)
% 34.11/34.31 Found (x2 x3) as proof of (cP x3)
% 34.11/34.31 Found (ex_intro000 (x2 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.11/34.31 Found x40:(cP Xy0)
% 34.11/34.31 Instantiate: Xy0:=Xy1:fofType
% 34.11/34.31 Found x40 as proof of (cP Xy1)
% 34.11/34.31 Found x8:(cP x7)
% 34.11/34.31 Instantiate: Xy0:=x7:fofType
% 34.11/34.31 Found x8 as proof of (cP Xy0)
% 34.11/34.31 Found x8:(cP x7)
% 34.11/34.31 Instantiate: Xy:=x7:fofType
% 34.11/34.31 Found x8 as proof of (cP Xy)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=Xy1:fofType
% 34.11/34.31 Found x20 as proof of (cP Xy1)
% 34.11/34.31 Found x60:(cP x0)
% 34.11/34.31 Found x60 as proof of (cP x0)
% 34.11/34.31 Found (x2 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (x2 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 34.11/34.31 Found x30:(cP x0)
% 34.11/34.31 Found x30 as proof of (cP x0)
% 34.11/34.31 Found (x5 x30) as proof of (cP Xy0)
% 34.11/34.31 Found (x5 x30) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 34.11/34.31 Found x60:(cP x0)
% 34.11/34.31 Found x60 as proof of (cP x0)
% 34.11/34.31 Found (x5 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (x5 x60) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 34.11/34.31 Found x30:(cP x0)
% 34.11/34.31 Found x30 as proof of (cP x0)
% 34.11/34.31 Found (x2 x30) as proof of (cP Xy0)
% 34.11/34.31 Found (x2 x30) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 34.11/34.31 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 34.11/34.31 Found x30:=(x3 x41):(cP Xy0)
% 34.11/34.31 Instantiate: Xy0:=Xy:fofType
% 34.11/34.31 Found (x3 x41) as proof of (cP Xy)
% 34.11/34.31 Found (x3 x41) as proof of (cP Xy)
% 34.11/34.31 Found x30:(cP x0)
% 34.11/34.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 34.11/34.31 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x20:(cP Xy)
% 34.11/34.31 Instantiate: Xy:=x0:fofType
% 34.11/34.31 Found x20 as proof of (cP x0)
% 34.11/34.31 Found x6:(cP x5)
% 34.11/34.31 Instantiate: Xy:=x5:fofType
% 34.11/34.31 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 34.41/34.63 Found x20:(cP Xy)
% 34.41/34.63 Instantiate: Xy0:=Xy:fofType
% 34.41/34.63 Found x20 as proof of (cP Xy0)
% 34.41/34.63 Found x30:=(x3 x40):(cP Xy0)
% 34.41/34.63 Instantiate: Xy0:=Xy:fofType
% 34.41/34.63 Found (x3 x40) as proof of (cP Xy)
% 34.41/34.63 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 34.41/34.63 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 34.41/34.63 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 34.41/34.63 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 34.41/34.63 Found ((ex_ind1 (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 34.41/34.63 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x0)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 34.41/34.63 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x0)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 34.41/34.63 Found x30:(cP x0)
% 34.41/34.63 Instantiate: Xy:=x0:fofType
% 34.41/34.63 Found x30 as proof of (cP Xy)
% 34.41/34.63 Found x30:(cP x0)
% 34.41/34.63 Instantiate: Xy:=x0:fofType
% 34.41/34.63 Found x30 as proof of (cP Xy)
% 34.41/34.63 Found x20:(cP Xy)
% 34.41/34.63 Instantiate: Xy:=x0:fofType
% 34.41/34.63 Found x20 as proof of (cP x0)
% 34.41/34.63 Found x20:(cP Xy)
% 34.41/34.63 Instantiate: Xy:=x0:fofType
% 34.41/34.63 Found x20 as proof of (cP x0)
% 34.41/34.63 Found x20:(cP Xy)
% 34.41/34.63 Instantiate: Xy:=x0:fofType
% 34.41/34.63 Found x20 as proof of (cP x0)
% 34.41/34.63 Found x20:=(x2 x3):(cP x3)
% 34.41/34.63 Found (x2 x3) as proof of (cP x3)
% 34.41/34.63 Found (x2 x3) as proof of (cP x3)
% 34.41/34.63 Found (ex_intro000 (x2 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found x40:(cP x1)
% 34.41/34.63 Found x40 as proof of (cP x1)
% 34.41/34.63 Found (x3 x40) as proof of (cP Xy)
% 34.41/34.63 Found (x3 x40) as proof of (cP Xy)
% 34.41/34.63 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 34.41/34.63 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 34.41/34.63 Found x22:(cP Xy)
% 34.41/34.63 Instantiate: Xy:=Xy0:fofType
% 34.41/34.63 Found x22 as proof of (cP Xy0)
% 34.41/34.63 Found x40:(cP x0)
% 34.41/34.63 Instantiate: Xy0:=x0:fofType
% 34.41/34.63 Found x40 as proof of (cP Xy0)
% 34.41/34.63 Found x30:(cP Xy)
% 34.41/34.63 Instantiate: x5:=Xy:fofType
% 34.41/34.63 Found x30 as proof of (cP x5)
% 34.41/34.63 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found ((ex_intro00 Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found (fun (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found (fun (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x30)) as proof of (((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 34.41/34.63 Found (fun (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1)))) as proof of (((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 34.41/34.63 Found (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1)))) as proof of (((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 34.41/34.63 Found (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1)))) as proof of (((cP x1)->(cP Xy))->(((cP Xy)->(cP x1))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 34.41/34.63 Found (and_rect00 (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found ((and_rect0 ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 34.41/34.63 Found (((fun (P:Type) (x3:(((cP x1)->(cP Xy))->(((cP Xy)->(cP x1))->P)))=> (((((and_rect ((cP x1)->(cP Xy))) ((cP Xy)->(cP x1))) P) x3) x20)) ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (fun (x3:((cP x1)->(cP Xy))) (x4:((cP Xy)->(cP x1)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x3 (x0 x1))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Found x20 as proof of (cP Xy1)
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy1:fofType
% 35.54/35.79 Found x20 as proof of (cP Xy1)
% 35.54/35.79 Found x20:=(x2 x32):(cP Xy)
% 35.54/35.79 Found (x2 x32) as proof of (cP Xy0)
% 35.54/35.79 Found (x2 x32) as proof of (cP Xy0)
% 35.54/35.79 Found (x2 x32) as proof of (cP Xy0)
% 35.54/35.79 Found x6:(cP x5)
% 35.54/35.79 Instantiate: Xy0:=x5:fofType
% 35.54/35.79 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 35.54/35.79 Found x22:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy0:fofType
% 35.54/35.79 Found x22 as proof of (cP Xy0)
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x30:(cP x0)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x30 as proof of (cP Xy)
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x00:=(x0 x3):(cP x3)
% 35.54/35.79 Found (x0 x3) as proof of (cP x3)
% 35.54/35.79 Found (x0 x3) as proof of (cP x3)
% 35.54/35.79 Found (ex_intro000 (x0 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 35.54/35.79 Found x30:(cP x0)
% 35.54/35.79 Found x30 as proof of (cP x0)
% 35.54/35.79 Found (x4 x30) as proof of (cP Xy1)
% 35.54/35.79 Found (x4 x30) as proof of (cP Xy1)
% 35.54/35.79 Found x30:(cP x0)
% 35.54/35.79 Found x30 as proof of (cP x0)
% 35.54/35.79 Found (x2 x30) as proof of (cP Xy1)
% 35.54/35.79 Found (x2 x30) as proof of (cP Xy1)
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy1:fofType
% 35.54/35.79 Found x20 as proof of (cP Xy1)
% 35.54/35.79 Found x22:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy0:fofType
% 35.54/35.79 Found x22 as proof of (cP Xy0)
% 35.54/35.79 Found x22:(cP Xy)
% 35.54/35.79 Found x22 as proof of (cP Xy0)
% 35.54/35.79 Found x40:(cP Xy0)
% 35.54/35.79 Instantiate: Xy0:=Xy1:fofType
% 35.54/35.79 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 35.54/35.79 Found (fun (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy1:fofType
% 35.54/35.79 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 35.54/35.79 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy1:fofType
% 35.54/35.79 Found x20 as proof of (cP Xy1)
% 35.54/35.79 Found x30:(cP x0)
% 35.54/35.79 Found x30 as proof of (cP x0)
% 35.54/35.79 Found (x5 x30) as proof of (cP Xy0)
% 35.54/35.79 Found (x5 x30) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x60:(cP x0)
% 35.54/35.79 Found x60 as proof of (cP x0)
% 35.54/35.79 Found (x5 x60) as proof of (cP Xy0)
% 35.54/35.79 Found (x5 x60) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 35.54/35.79 Found x30:(cP x0)
% 35.54/35.79 Found x30 as proof of (cP x0)
% 35.54/35.79 Found (x2 x30) as proof of (cP Xy0)
% 35.54/35.79 Found (x2 x30) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 35.54/35.79 Found x60:(cP x0)
% 35.54/35.79 Found x60 as proof of (cP x0)
% 35.54/35.79 Found (x2 x60) as proof of (cP Xy0)
% 35.54/35.79 Found (x2 x60) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 35.54/35.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x30:(cP x0)
% 35.54/35.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 35.54/35.79 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 35.54/35.79 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x20:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=x0:fofType
% 35.54/35.79 Found x20 as proof of (cP x0)
% 35.54/35.79 Found x22:(cP Xy)
% 35.54/35.79 Instantiate: Xy:=Xy0:fofType
% 35.54/35.79 Found x22 as proof of (cP Xy0)
% 35.54/35.79 Found x40:(cP x1)
% 35.54/35.79 Found x40 as proof of (cP x1)
% 35.54/35.79 Found (x3 x40) as proof of (cP Xy)
% 35.54/35.79 Found (x3 x40) as proof of (cP Xy)
% 36.20/36.39 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 36.20/36.39 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 36.20/36.39 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 36.20/36.39 Found x7:(cP x6)
% 36.20/36.39 Instantiate: Xy:=x6:fofType
% 36.20/36.39 Found x7 as proof of (cP Xy)
% 36.20/36.39 Found (x3 x7) as proof of (cP x0)
% 36.20/36.39 Found (fun (x7:(cP x6))=> (x3 x7)) as proof of (cP x0)
% 36.20/36.39 Found x7:(cP x6)
% 36.20/36.39 Instantiate: Xy:=x6:fofType
% 36.20/36.39 Found x7 as proof of (cP Xy)
% 36.20/36.39 Found (x3 x7) as proof of (cP x0)
% 36.20/36.39 Found (fun (x7:(cP x6))=> (x3 x7)) as proof of (cP x0)
% 36.20/36.39 Found x20:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x20 as proof of (cP x0)
% 36.20/36.39 Found x20:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=Xy1:fofType
% 36.20/36.39 Found x20 as proof of (cP Xy1)
% 36.20/36.39 Found x20:(cP Xy)
% 36.20/36.39 Found x20 as proof of (cP Xy1)
% 36.20/36.39 Found x6:(cP x5)
% 36.20/36.39 Instantiate: Xy0:=x5:fofType
% 36.20/36.39 Found x6 as proof of (cP Xy0)
% 36.20/36.39 Found x22:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=Xy0:fofType
% 36.20/36.39 Found x22 as proof of (cP Xy0)
% 36.20/36.39 Found x30:=(x3 x41):(cP Xy0)
% 36.20/36.39 Found (x3 x41) as proof of (cP Xy)
% 36.20/36.39 Found (x3 x41) as proof of (cP Xy)
% 36.20/36.39 Found (x3 x41) as proof of (cP Xy)
% 36.20/36.39 Found x30:(cP x0)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x30 as proof of (cP Xy)
% 36.20/36.39 Found x20:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x20 as proof of (cP x0)
% 36.20/36.39 Found x20:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x20 as proof of (cP x0)
% 36.20/36.39 Found x20:=(x2 x32):(cP Xy)
% 36.20/36.39 Found (x2 x32) as proof of (cP Xy0)
% 36.20/36.39 Found (x2 x32) as proof of (cP Xy0)
% 36.20/36.39 Found (x2 x32) as proof of (cP Xy0)
% 36.20/36.39 Found x50:(cP Xy1)
% 36.20/36.39 Instantiate: Xy:=Xy1:fofType
% 36.20/36.39 Found x50 as proof of (cP Xy)
% 36.20/36.39 Found x50:(cP Xy1)
% 36.20/36.39 Instantiate: Xy1:=x0:fofType
% 36.20/36.39 Found x50 as proof of (cP x0)
% 36.20/36.39 Found x50:(cP Xy1)
% 36.20/36.39 Instantiate: Xy1:=x0:fofType
% 36.20/36.39 Found x50 as proof of (cP x0)
% 36.20/36.39 Found x50:(cP Xy1)
% 36.20/36.39 Instantiate: Xy:=Xy1:fofType
% 36.20/36.39 Found x50 as proof of (cP Xy)
% 36.20/36.39 Found x22:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=Xy0:fofType
% 36.20/36.39 Found x22 as proof of (cP Xy0)
% 36.20/36.39 Found x20:=(x2 x30):(cP Xy)
% 36.20/36.39 Instantiate: Xy:=Xy0:fofType
% 36.20/36.39 Found (x2 x30) as proof of (cP Xy0)
% 36.20/36.39 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 36.20/36.39 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 36.20/36.39 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 36.20/36.39 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 36.20/36.39 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 36.20/36.39 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 36.20/36.39 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 36.20/36.39 Found x20:(cP Xy)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x20 as proof of (cP x0)
% 36.20/36.39 Found x20:=(x2 x60):(cP Xy)
% 36.20/36.39 Instantiate: Xy:=Xy0:fofType
% 36.20/36.39 Found (x2 x60) as proof of (cP Xy0)
% 36.20/36.39 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 36.20/36.39 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 36.20/36.39 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 36.20/36.39 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x60))) as proof of (cP Xy0)
% 36.20/36.39 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x60))) as proof of (cP Xy0)
% 36.20/36.39 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x60))) as proof of (cP Xy0)
% 36.20/36.39 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x60))) as proof of (cP Xy0)
% 36.20/36.39 Found x51:(cP Xy0)
% 36.20/36.39 Instantiate: Xy0:=Xy:fofType
% 36.20/36.39 Found (fun (x6:((cP Xy0)->(cP x0)))=> x51) as proof of (cP Xy)
% 36.20/36.39 Found (fun (x6:((cP Xy0)->(cP x0)))=> x51) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 36.20/36.39 Found x30:(cP x0)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x30 as proof of (cP Xy)
% 36.20/36.39 Found x50:(cP x0)
% 36.20/36.39 Instantiate: Xy:=x0:fofType
% 36.20/36.39 Found x50 as proof of (cP Xy)
% 36.20/36.39 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy)
% 37.23/37.51 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy0)
% 37.23/37.51 Found x50:(cP x0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x50 as proof of (cP Xy0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy0:=Xy:fofType
% 37.23/37.51 Found x20 as proof of (cP Xy0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=Xy1:fofType
% 37.23/37.51 Found x20 as proof of (cP Xy1)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy:=Xy0:fofType
% 37.23/37.51 Found x40 as proof of (cP Xy)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x40 as proof of (cP x0)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x40 as proof of (cP x0)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x40 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy:=Xy0:fofType
% 37.23/37.51 Found x40 as proof of (cP Xy)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy:=Xy0:fofType
% 37.23/37.51 Found x40 as proof of (cP Xy)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x40 as proof of (cP x0)
% 37.23/37.51 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy0)
% 37.23/37.51 Found x50:(cP x0)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x50 as proof of (cP Xy)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy0:=Xy:fofType
% 37.23/37.51 Found x20 as proof of (cP Xy0)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy:=Xy0:fofType
% 37.23/37.51 Found x40 as proof of (cP Xy)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x7:(cP x6)
% 37.23/37.51 Instantiate: Xy:=x6:fofType
% 37.23/37.51 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 37.23/37.51 Found x7:(cP x6)
% 37.23/37.51 Instantiate: Xy:=x6:fofType
% 37.23/37.51 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 37.23/37.51 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=Xy1:fofType
% 37.23/37.51 Found x20 as proof of (cP Xy1)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=Xy1:fofType
% 37.23/37.51 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 37.23/37.51 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 37.23/37.51 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy0:=Xy1:fofType
% 37.23/37.51 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 37.23/37.51 Found (fun (x7:fofType) (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 37.23/37.51 Found (fun (x7:fofType) (x8:(cP x7))=> x40) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 37.23/37.51 Found x31:(cP Xy0)
% 37.23/37.51 Instantiate: Xy0:=Xy:fofType
% 37.23/37.51 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 37.23/37.51 Found (fun (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 37.23/37.51 Found x6:(cP x5)
% 37.23/37.51 Instantiate: Xy0:=x5:fofType
% 37.23/37.51 Found x6 as proof of (cP Xy0)
% 37.23/37.51 Found x40:(cP Xy0)
% 37.23/37.51 Instantiate: Xy:=Xy0:fofType
% 37.23/37.51 Found x40 as proof of (cP Xy)
% 37.23/37.51 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy0:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy0)
% 37.23/37.51 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy)
% 37.23/37.51 Found x50:(cP x0)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x50 as proof of (cP Xy)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x30:(cP x0)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x30 as proof of (cP Xy)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy0:=Xy:fofType
% 37.23/37.51 Found x20 as proof of (cP Xy0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:(cP Xy)
% 37.23/37.51 Instantiate: Xy:=x0:fofType
% 37.23/37.51 Found x20 as proof of (cP x0)
% 37.23/37.51 Found x20:=(x2 x32):(cP Xy)
% 37.23/37.51 Found (x2 x32) as proof of (cP Xy0)
% 37.23/37.51 Found (x2 x32) as proof of (cP Xy0)
% 37.23/37.51 Found x20:=(x2 x30):(cP Xy)
% 37.23/37.51 Instantiate: Xy:=Xy0:fofType
% 37.23/37.51 Found (x2 x30) as proof of (cP Xy0)
% 37.23/37.51 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 37.23/37.51 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 37.23/37.51 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 38.20/38.42 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 38.20/38.42 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 38.20/38.42 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 38.20/38.42 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)))) as proof of (cP Xy0)
% 38.20/38.42 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy)
% 38.20/38.42 Found x50:(cP x0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x50 as proof of (cP Xy0)
% 38.20/38.42 Found x6:(cP x5)
% 38.20/38.42 Instantiate: Xy0:=x5:fofType
% 38.20/38.42 Found x6 as proof of (cP Xy0)
% 38.20/38.42 Found (x4 x6) as proof of (cP x1)
% 38.20/38.42 Found (fun (x6:(cP x5))=> (x4 x6)) as proof of (cP x1)
% 38.20/38.42 Found x50:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x50 as proof of (cP Xy)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x40 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy0:=Xy:fofType
% 38.20/38.42 Found x20 as proof of (cP Xy0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x40 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy:=Xy0:fofType
% 38.20/38.42 Found x40 as proof of (cP Xy)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy1:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy1)
% 38.20/38.42 Found x60:(cP x0)
% 38.20/38.42 Instantiate: Xy1:=x0:fofType
% 38.20/38.42 Found x60 as proof of (cP Xy1)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy)
% 38.20/38.42 Found x60:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x60 as proof of (cP Xy)
% 38.20/38.42 Found x50:(cP Xy1)
% 38.20/38.42 Instantiate: Xy:=Xy1:fofType
% 38.20/38.42 Found x50 as proof of (cP Xy)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy1:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy1)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy1:=Xy:fofType
% 38.20/38.42 Found x20 as proof of (cP Xy1)
% 38.20/38.42 Found x60:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x60 as proof of (cP Xy)
% 38.20/38.42 Found x22:(cP Xy)
% 38.20/38.42 Found x22 as proof of (cP Xy0)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy0)
% 38.20/38.42 Found x50:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x50 as proof of (cP Xy)
% 38.20/38.42 Found x30:(cP x0)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x30 as proof of (cP Xy)
% 38.20/38.42 Found x50:(cP x0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x50 as proof of (cP Xy0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy:=Xy0:fofType
% 38.20/38.42 Found x40 as proof of (cP Xy)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy:=Xy0:fofType
% 38.20/38.42 Found x40 as proof of (cP Xy)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy:=x0:fofType
% 38.20/38.42 Found x20 as proof of (cP x0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x40 as proof of (cP x0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x40 as proof of (cP x0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy0:=x0:fofType
% 38.20/38.42 Found x40 as proof of (cP x0)
% 38.20/38.42 Found x40:(cP Xy0)
% 38.20/38.42 Instantiate: Xy:=Xy0:fofType
% 38.20/38.42 Found x40 as proof of (cP Xy)
% 38.20/38.42 Found x20:(cP Xy)
% 38.20/38.42 Instantiate: Xy0:=Xy:fofType
% 38.74/38.98 Found x20 as proof of (cP Xy0)
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x20 as proof of (cP x0)
% 38.74/38.98 Found x40:(cP Xy0)
% 38.74/38.98 Instantiate: Xy0:=x0:fofType
% 38.74/38.98 Found x40 as proof of (cP x0)
% 38.74/38.98 Found x30:(cP x0)
% 38.74/38.98 Instantiate: Xy0:=x0:fofType
% 38.74/38.98 Found x30 as proof of (cP Xy0)
% 38.74/38.98 Found x40:(cP Xy0)
% 38.74/38.98 Instantiate: Xy:=Xy0:fofType
% 38.74/38.98 Found x40 as proof of (cP Xy)
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Instantiate: Xy0:=Xy:fofType
% 38.74/38.98 Found x20 as proof of (cP Xy0)
% 38.74/38.98 Found x50:(cP x0)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x50 as proof of (cP Xy)
% 38.74/38.98 Found x50:(cP x0)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x50 as proof of (cP Xy)
% 38.74/38.98 Found x30:(cP x0)
% 38.74/38.98 Instantiate: Xy0:=x0:fofType
% 38.74/38.98 Found x30 as proof of (cP Xy0)
% 38.74/38.98 Found x32:(cP x0)
% 38.74/38.98 Found x32 as proof of (cP x0)
% 38.74/38.98 Found (x2 x32) as proof of (cP Xy0)
% 38.74/38.98 Found (x2 x32) as proof of (cP Xy0)
% 38.74/38.98 Found (x2 x32) as proof of (cP Xy0)
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x20 as proof of (cP x0)
% 38.74/38.98 Found x30:(cP x0)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x30 as proof of (cP Xy)
% 38.74/38.98 Found x40:(cP Xy0)
% 38.74/38.98 Instantiate: Xy:=Xy0:fofType
% 38.74/38.98 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (cP Xy)
% 38.74/38.98 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 38.74/38.98 Found x30:(cP x0)
% 38.74/38.98 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 38.74/38.98 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 38.74/38.98 Found x8:(cP x7)
% 38.74/38.98 Instantiate: Xy1:=x7:fofType
% 38.74/38.98 Found x8 as proof of (cP Xy1)
% 38.74/38.98 Found (x6 x8) as proof of (cP x0)
% 38.74/38.98 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 38.74/38.98 Found x8:(cP x7)
% 38.74/38.98 Instantiate: Xy:=x7:fofType
% 38.74/38.98 Found x8 as proof of (cP Xy)
% 38.74/38.98 Found (x3 x8) as proof of (cP x0)
% 38.74/38.98 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 38.74/38.98 Found x8:(cP x7)
% 38.74/38.98 Instantiate: Xy1:=x7:fofType
% 38.74/38.98 Found x8 as proof of (cP Xy1)
% 38.74/38.98 Found (x6 x8) as proof of (cP x0)
% 38.74/38.98 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 38.74/38.98 Found x8:(cP x7)
% 38.74/38.98 Instantiate: Xy:=x7:fofType
% 38.74/38.98 Found x8 as proof of (cP Xy)
% 38.74/38.98 Found (x3 x8) as proof of (cP x0)
% 38.74/38.98 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 38.74/38.98 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 38.74/38.98 Found x31:(cP Xy0)
% 38.74/38.98 Instantiate: Xy0:=Xy:fofType
% 38.74/38.98 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 38.74/38.98 Found (fun (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Instantiate: Xy0:=Xy:fofType
% 38.74/38.98 Found x20 as proof of (cP Xy0)
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x20 as proof of (cP x0)
% 38.74/38.98 Found x20:(cP Xy)
% 38.74/38.98 Instantiate: Xy:=x0:fofType
% 38.74/38.98 Found x20 as proof of (cP x0)
% 38.74/38.98 Found x6:(cP x5)
% 38.74/38.98 Instantiate: Xy0:=x5:fofType
% 38.74/38.98 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 38.74/38.98 Found x50:=(x5 x30):(cP Xy1)
% 38.74/38.98 Instantiate: Xy1:=Xy0:fofType
% 38.74/38.98 Found (x5 x30) as proof of (cP Xy0)
% 38.74/38.98 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 38.74/38.98 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 38.74/38.98 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 38.74/38.98 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 38.74/38.98 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 38.74/38.98 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 38.74/38.98 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (cP Xy0)
% 38.74/38.98 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 38.74/38.98 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 40.10/40.29 Found x22:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=Xy0:fofType
% 40.10/40.29 Found x22 as proof of (cP Xy0)
% 40.10/40.29 Found x50:(cP Xy1)
% 40.10/40.29 Instantiate: Xy1:=Xy:fofType
% 40.10/40.29 Found x50 as proof of (cP Xy)
% 40.10/40.29 Found x30:(cP Xy0)
% 40.10/40.29 Instantiate: Xy0:=Xy:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy)
% 40.10/40.29 Found x50:(cP x0)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x50 as proof of (cP Xy)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy1:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy1)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x20 as proof of (cP x0)
% 40.10/40.29 Found x22:(cP Xy)
% 40.10/40.29 Found x22 as proof of (cP Xy0)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy0:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy0)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy1:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy1:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy)
% 40.10/40.29 Found x22:(cP Xy)
% 40.10/40.29 Found x22 as proof of (cP Xy0)
% 40.10/40.29 Found x20:=(x2 x30):(cP Xy)
% 40.10/40.29 Instantiate: Xy:=Xy1:fofType
% 40.10/40.29 Found (x2 x30) as proof of (cP Xy1)
% 40.10/40.29 Found (x2 x30) as proof of (cP Xy1)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x20 as proof of (cP x0)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x20 as proof of (cP x0)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x20 as proof of (cP x0)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x20 as proof of (cP x0)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy0:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 40.10/40.29 Found x40:=(x4 x50):(cP Xy0)
% 40.10/40.29 Instantiate: Xy0:=Xy1:fofType
% 40.10/40.29 Found (x4 x50) as proof of (cP Xy1)
% 40.10/40.29 Found (x4 x50) as proof of (cP Xy1)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy0:=Xy:fofType
% 40.10/40.29 Found x20 as proof of (cP Xy0)
% 40.10/40.29 Found x20:=(x2 x50):(cP Xy)
% 40.10/40.29 Instantiate: Xy:=Xy1:fofType
% 40.10/40.29 Found (x2 x50) as proof of (cP Xy1)
% 40.10/40.29 Found (x2 x50) as proof of (cP Xy1)
% 40.10/40.29 Found x40:=(x4 x30):(cP Xy0)
% 40.10/40.29 Instantiate: Xy0:=Xy1:fofType
% 40.10/40.29 Found (x4 x30) as proof of (cP Xy1)
% 40.10/40.29 Found (x4 x30) as proof of (cP Xy1)
% 40.10/40.29 Found x40:(cP Xy0)
% 40.10/40.29 Instantiate: Xy0:=x0:fofType
% 40.10/40.29 Found x40 as proof of (cP x0)
% 40.10/40.29 Found x40:(cP Xy0)
% 40.10/40.29 Instantiate: Xy0:=x0:fofType
% 40.10/40.29 Found x40 as proof of (cP x0)
% 40.10/40.29 Found x40:(cP Xy0)
% 40.10/40.29 Instantiate: Xy:=Xy0:fofType
% 40.10/40.29 Found x40 as proof of (cP Xy)
% 40.10/40.29 Found x30:=(x3 x41):(cP Xy0)
% 40.10/40.29 Found (x3 x41) as proof of (cP Xy)
% 40.10/40.29 Found (x3 x41) as proof of (cP Xy)
% 40.10/40.29 Found (x3 x41) as proof of (cP Xy)
% 40.10/40.29 Found x32:(cP x0)
% 40.10/40.29 Found x32 as proof of (cP x0)
% 40.10/40.29 Found (x2 x32) as proof of (cP Xy0)
% 40.10/40.29 Found (x2 x32) as proof of (cP Xy0)
% 40.10/40.29 Found (x2 x32) as proof of (cP Xy0)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 40.10/40.29 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 40.10/40.29 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 40.10/40.29 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 40.10/40.29 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 40.10/40.29 Found x50:(cP x0)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x50 as proof of (cP Xy)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy0:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy0)
% 40.10/40.29 Found x50:(cP x0)
% 40.10/40.29 Instantiate: Xy0:=x0:fofType
% 40.10/40.29 Found x50 as proof of (cP Xy0)
% 40.10/40.29 Found x30:(cP x0)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x30 as proof of (cP Xy)
% 40.10/40.29 Found x20:(cP Xy)
% 40.10/40.29 Instantiate: Xy:=x0:fofType
% 40.10/40.29 Found x20 as proof of (cP x0)
% 40.10/40.29 Found x8:(cP x7)
% 40.10/40.29 Instantiate: Xy:=x7:fofType
% 40.10/40.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 40.10/40.29 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x40 as proof of (cP Xy)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found x20 as proof of (cP Xy0)
% 41.32/41.58 Found x30:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> x30) as proof of (cP Xy)
% 41.32/41.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> x30) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 41.32/41.58 Found x31:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 41.32/41.58 Found (fun (x5:fofType) (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 41.32/41.58 Found (fun (x5:fofType) (x6:(cP x5))=> x31) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 41.32/41.58 Found x50:(cP Xy1)
% 41.32/41.58 Instantiate: Xy1:=Xy:fofType
% 41.32/41.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy)
% 41.32/41.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x20 as proof of (cP Xy0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x22:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x22 as proof of (cP Xy0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x40 as proof of (cP Xy)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found x20 as proof of (cP Xy0)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy0)
% 41.32/41.58 Found x50:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x50 as proof of (cP Xy)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x40 as proof of (cP Xy)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x40 as proof of (cP Xy)
% 41.32/41.58 Found x22:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x22 as proof of (cP Xy0)
% 41.32/41.58 Found x50:=(x5 x61):(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found (x5 x61) as proof of (cP Xy)
% 41.32/41.58 Found (x5 x61) as proof of (cP Xy)
% 41.32/41.58 Found x50:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x50 as proof of (cP Xy)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy0)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy)
% 41.32/41.58 Found x50:(cP x0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x50 as proof of (cP Xy0)
% 41.32/41.58 Found x50:(cP x0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x50 as proof of (cP Xy0)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy0)
% 41.32/41.58 Found x50:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x50 as proof of (cP Xy)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x40 as proof of (cP Xy)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy:=Xy0:fofType
% 41.32/41.58 Found x40 as proof of (cP Xy)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x20 as proof of (cP x0)
% 41.32/41.58 Found x40:(cP Xy0)
% 41.32/41.58 Instantiate: Xy0:=x0:fofType
% 41.32/41.58 Found x40 as proof of (cP x0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found x20 as proof of (cP Xy0)
% 41.32/41.58 Found x20:(cP Xy)
% 41.32/41.58 Instantiate: Xy0:=Xy:fofType
% 41.32/41.58 Found x20 as proof of (cP Xy0)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy)
% 41.32/41.58 Found x30:(cP x0)
% 41.32/41.58 Instantiate: Xy1:=x0:fofType
% 41.32/41.58 Found x30 as proof of (cP Xy1)
% 41.32/41.58 Found x50:(cP Xy1)
% 41.32/41.58 Instantiate: Xy1:=Xy0:fofType
% 41.32/41.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 41.32/41.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 42.54/42.75 Found x21:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=Xy0:fofType
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (cP Xy0)
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 42.54/42.75 Found x50:(cP Xy1)
% 42.54/42.75 Instantiate: Xy1:=Xy0:fofType
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=Xy0:fofType
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 42.54/42.75 Found x51:(cP Xy1)
% 42.54/42.75 Instantiate: Xy1:=Xy0:fofType
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (cP Xy0)
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 42.54/42.75 Found x50:(cP x0)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x50 as proof of (cP Xy)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy0:=Xy:fofType
% 42.54/42.75 Found x20 as proof of (cP Xy0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy0:=Xy:fofType
% 42.54/42.75 Found x20 as proof of (cP Xy0)
% 42.54/42.75 Found x50:(cP x0)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x50 as proof of (cP Xy)
% 42.54/42.75 Found x30:(cP x0)
% 42.54/42.75 Instantiate: Xy0:=x0:fofType
% 42.54/42.75 Found x30 as proof of (cP Xy0)
% 42.54/42.75 Found x40:(cP Xy0)
% 42.54/42.75 Instantiate: Xy:=Xy0:fofType
% 42.54/42.75 Found x40 as proof of (cP Xy)
% 42.54/42.75 Found x30:(cP x0)
% 42.54/42.75 Instantiate: Xy0:=x0:fofType
% 42.54/42.75 Found x30 as proof of (cP Xy0)
% 42.54/42.75 Found x40:(cP Xy0)
% 42.54/42.75 Instantiate: Xy:=Xy0:fofType
% 42.54/42.75 Found x40 as proof of (cP Xy)
% 42.54/42.75 Found x30:(cP x0)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x30 as proof of (cP Xy)
% 42.54/42.75 Found x30:(cP x0)
% 42.54/42.75 Instantiate: Xy0:=x0:fofType
% 42.54/42.75 Found x30 as proof of (cP Xy0)
% 42.54/42.75 Found x22:(cP Xy)
% 42.54/42.75 Found x22 as proof of (cP Xy0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x20 as proof of (cP x0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x20 as proof of (cP x0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy0:=Xy:fofType
% 42.54/42.75 Found x20 as proof of (cP Xy0)
% 42.54/42.75 Found x20:=(x2 x30):(cP Xy)
% 42.54/42.75 Instantiate: Xy:=Xy1:fofType
% 42.54/42.75 Found (x2 x30) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 42.54/42.75 Found x20:=(x2 x50):(cP Xy)
% 42.54/42.75 Instantiate: Xy:=Xy1:fofType
% 42.54/42.75 Found (x2 x50) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 42.54/42.75 Found x40:=(x4 x30):(cP Xy0)
% 42.54/42.75 Instantiate: Xy0:=Xy1:fofType
% 42.54/42.75 Found (x4 x30) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 42.54/42.75 Found x40:=(x4 x50):(cP Xy0)
% 42.54/42.75 Instantiate: Xy0:=Xy1:fofType
% 42.54/42.75 Found (x4 x50) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 42.54/42.75 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 42.54/42.75 Found x22:(cP Xy)
% 42.54/42.75 Found x22 as proof of (cP Xy0)
% 42.54/42.75 Found x22:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=Xy0:fofType
% 42.54/42.75 Found x22 as proof of (cP Xy0)
% 42.54/42.75 Found x41:(cP x1)
% 42.54/42.75 Found x41 as proof of (cP x1)
% 42.54/42.75 Found (x3 x41) as proof of (cP Xy)
% 42.54/42.75 Found (x3 x41) as proof of (cP Xy)
% 42.54/42.75 Found (x3 x41) as proof of (cP Xy)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x20 as proof of (cP x0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x20 as proof of (cP x0)
% 42.54/42.75 Found x30:=(x3 x41):(cP Xy0)
% 42.54/42.75 Instantiate: Xy0:=Xy:fofType
% 42.54/42.75 Found (x3 x41) as proof of (cP Xy)
% 42.54/42.75 Found (x3 x41) as proof of (cP Xy)
% 42.54/42.75 Found x32:(cP x0)
% 42.54/42.75 Found x32 as proof of (cP x0)
% 42.54/42.75 Found (x2 x32) as proof of (cP Xy0)
% 42.54/42.75 Found (x2 x32) as proof of (cP Xy0)
% 42.54/42.75 Found (x2 x32) as proof of (cP Xy0)
% 42.54/42.75 Found x30:(cP x0)
% 42.54/42.75 Instantiate: Xy0:=x0:fofType
% 42.54/42.75 Found x30 as proof of (cP Xy0)
% 42.54/42.75 Found x30:(cP x0)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x30 as proof of (cP Xy)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x20 as proof of (cP x0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy0:=Xy:fofType
% 42.54/42.75 Found x20 as proof of (cP Xy0)
% 42.54/42.75 Found x20:(cP Xy)
% 42.54/42.75 Instantiate: Xy:=x0:fofType
% 42.54/42.75 Found x20 as proof of (cP x0)
% 42.54/42.75 Found x40:(cP Xy0)
% 42.54/42.75 Instantiate: Xy:=Xy0:fofType
% 42.54/42.75 Found x40 as proof of (cP Xy)
% 42.54/42.75 Found x40:(cP Xy0)
% 42.54/42.75 Instantiate: Xy0:=x0:fofType
% 42.54/42.75 Found x40 as proof of (cP x0)
% 42.54/42.75 Found x30:(cP Xy0)
% 42.54/42.75 Instantiate: Xy0:=Xy:fofType
% 42.54/42.75 Found (fun (x6:((cP Xy1)->(cP x0)))=> x30) as proof of (cP Xy)
% 43.73/43.94 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x30) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 43.73/43.94 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy)))
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x40 as proof of (cP x0)
% 43.73/43.94 Found x30:(cP x0)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x30 as proof of (cP Xy)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x20 as proof of (cP x0)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x20 as proof of (cP Xy0)
% 43.73/43.94 Found x22:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x22 as proof of (cP Xy0)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x20 as proof of (cP x0)
% 43.73/43.94 Found x22:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x22 as proof of (cP Xy0)
% 43.73/43.94 Found x22:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x22 as proof of (cP Xy0)
% 43.73/43.94 Found x6:(cP x5)
% 43.73/43.94 Instantiate: Xy:=x5:fofType
% 43.73/43.94 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 43.73/43.94 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 43.73/43.94 Found x30:(cP x0)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x30 as proof of (cP Xy)
% 43.73/43.94 Found x30:(cP x0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x30 as proof of (cP Xy0)
% 43.73/43.94 Found x50:(cP x0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x50 as proof of (cP Xy0)
% 43.73/43.94 Found x21:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (cP Xy0)
% 43.73/43.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 43.73/43.94 Found x50:(cP x0)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x50 as proof of (cP Xy)
% 43.73/43.94 Found x50:(cP Xy1)
% 43.73/43.94 Instantiate: Xy1:=Xy0:fofType
% 43.73/43.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 43.73/43.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x40 as proof of (cP Xy)
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x40 as proof of (cP x0)
% 43.73/43.94 Found x22:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x22 as proof of (cP Xy0)
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x40 as proof of (cP x0)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy0:=Xy:fofType
% 43.73/43.94 Found x20 as proof of (cP Xy0)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x20 as proof of (cP x0)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x20 as proof of (cP x0)
% 43.73/43.94 Found x20:(cP Xy)
% 43.73/43.94 Instantiate: Xy0:=Xy:fofType
% 43.73/43.94 Found x20 as proof of (cP Xy0)
% 43.73/43.94 Found x50:(cP x0)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x50 as proof of (cP Xy)
% 43.73/43.94 Found x30:(cP x0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x30 as proof of (cP Xy0)
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x40 as proof of (cP Xy)
% 43.73/43.94 Found x30:(cP x0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x30 as proof of (cP Xy0)
% 43.73/43.94 Found x30:(cP x0)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x30 as proof of (cP Xy)
% 43.73/43.94 Found x50:(cP x0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x50 as proof of (cP Xy0)
% 43.73/43.94 Found x50:(cP x0)
% 43.73/43.94 Instantiate: Xy:=x0:fofType
% 43.73/43.94 Found x50 as proof of (cP Xy)
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy:=Xy0:fofType
% 43.73/43.94 Found x40 as proof of (cP Xy)
% 43.73/43.94 Found x40:(cP Xy0)
% 43.73/43.94 Instantiate: Xy0:=x0:fofType
% 43.73/43.94 Found x40 as proof of (cP x0)
% 43.73/43.94 Found x20:=(x2 x30):(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy1:fofType
% 43.73/43.94 Found (x2 x30) as proof of (cP Xy1)
% 43.73/43.94 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 43.73/43.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 43.73/43.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 43.73/43.94 Found x40:=(x4 x30):(cP Xy0)
% 43.73/43.94 Instantiate: Xy0:=Xy1:fofType
% 43.73/43.94 Found (x4 x30) as proof of (cP Xy1)
% 43.73/43.94 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 43.73/43.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 43.73/43.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 43.73/43.94 Found x20:=(x2 x50):(cP Xy)
% 43.73/43.94 Instantiate: Xy:=Xy1:fofType
% 43.73/43.94 Found (x2 x50) as proof of (cP Xy1)
% 43.73/43.94 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 43.73/43.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 43.73/43.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 43.73/43.94 Found x40:=(x4 x50):(cP Xy0)
% 45.30/45.51 Instantiate: Xy0:=Xy1:fofType
% 45.30/45.51 Found (x4 x50) as proof of (cP Xy1)
% 45.30/45.51 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 45.30/45.51 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 45.30/45.51 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy0:=Xy:fofType
% 45.30/45.51 Found x20 as proof of (cP Xy0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x40:(cP Xy0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x40 as proof of (cP x0)
% 45.30/45.51 Found x22:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=Xy0:fofType
% 45.30/45.51 Found x22 as proof of (cP Xy0)
% 45.30/45.51 Found x22:(cP Xy)
% 45.30/45.51 Found x22 as proof of (cP Xy0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x30:=(x3 x41):(cP Xy0)
% 45.30/45.51 Instantiate: Xy0:=Xy:fofType
% 45.30/45.51 Found (x3 x41) as proof of (cP Xy)
% 45.30/45.51 Found (x3 x41) as proof of (cP Xy)
% 45.30/45.51 Found x32:(cP x0)
% 45.30/45.51 Found x32 as proof of (cP x0)
% 45.30/45.51 Found (x2 x32) as proof of (cP Xy0)
% 45.30/45.51 Found (x2 x32) as proof of (cP Xy0)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy0)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy0)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy0)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy)
% 45.30/45.51 Found x50:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x50 as proof of (cP Xy)
% 45.30/45.51 Found x50:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x50 as proof of (cP Xy)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy0:=Xy:fofType
% 45.30/45.51 Found x20 as proof of (cP Xy0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x30:(cP Xy0)
% 45.30/45.51 Instantiate: Xy0:=x1:fofType
% 45.30/45.51 Found x30 as proof of (cP x1)
% 45.30/45.51 Found x40:(cP x1)
% 45.30/45.51 Instantiate: Xy0:=x1:fofType
% 45.30/45.51 Found x40 as proof of (cP Xy0)
% 45.30/45.51 Found x22:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=Xy0:fofType
% 45.30/45.51 Found x22 as proof of (cP Xy0)
% 45.30/45.51 Found x8:(cP x7)
% 45.30/45.51 Instantiate: Xy:=x7:fofType
% 45.30/45.51 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy0)
% 45.30/45.51 Found x50:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x50 as proof of (cP Xy)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=Xy0:fofType
% 45.30/45.51 Found x20 as proof of (cP Xy0)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy)
% 45.30/45.51 Found x22:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=Xy0:fofType
% 45.30/45.51 Found x22 as proof of (cP Xy0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy0)
% 45.30/45.51 Found x6:(cP x5)
% 45.30/45.51 Instantiate: Xy:=x5:fofType
% 45.30/45.51 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 45.30/45.51 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 45.30/45.51 Found x8:(cP x7)
% 45.30/45.51 Instantiate: Xy1:=x7:fofType
% 45.30/45.51 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy0:=Xy:fofType
% 45.30/45.51 Found x20 as proof of (cP Xy0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x20:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x20 as proof of (cP x0)
% 45.30/45.51 Found x8:(cP x7)
% 45.30/45.51 Instantiate: Xy:=x7:fofType
% 45.30/45.51 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 45.30/45.51 Found x22:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=Xy0:fofType
% 45.30/45.51 Found x22 as proof of (cP Xy0)
% 45.30/45.51 Found x21:(cP Xy)
% 45.30/45.51 Instantiate: Xy:=Xy0:fofType
% 45.30/45.51 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (cP Xy0)
% 45.30/45.51 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 45.30/45.51 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy)
% 45.30/45.51 Found x30:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x30 as proof of (cP Xy0)
% 45.30/45.51 Found x50:(cP x0)
% 45.30/45.51 Instantiate: Xy0:=x0:fofType
% 45.30/45.51 Found x50 as proof of (cP Xy0)
% 45.30/45.51 Found x50:(cP x0)
% 45.30/45.51 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x50 as proof of (cP Xy)
% 46.04/46.26 Found x50:(cP x0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x50 as proof of (cP Xy0)
% 46.04/46.26 Found x30:(cP x0)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x30 as proof of (cP Xy)
% 46.04/46.26 Found x30:(cP x0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x30 as proof of (cP Xy0)
% 46.04/46.26 Found x50:(cP x0)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x50 as proof of (cP Xy)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found x40 as proof of (cP Xy)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x20 as proof of (cP x0)
% 46.04/46.26 Found x30:(cP x0)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x30 as proof of (cP Xy)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x20 as proof of (cP x0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy0:=Xy:fofType
% 46.04/46.26 Found x20 as proof of (cP Xy0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found x40 as proof of (cP Xy)
% 46.04/46.26 Found x30:(cP x0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x30 as proof of (cP Xy0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x20 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found x40 as proof of (cP Xy)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy0:=Xy:fofType
% 46.04/46.26 Found x20 as proof of (cP Xy0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x20 as proof of (cP x0)
% 46.04/46.26 Found x22:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x22 as proof of (cP x0)
% 46.04/46.26 Found x50:=(x5 x30):(cP Xy1)
% 46.04/46.26 Instantiate: Xy1:=Xy0:fofType
% 46.04/46.26 Found (x5 x30) as proof of (cP Xy0)
% 46.04/46.26 Found (x5 x30) as proof of (cP Xy0)
% 46.04/46.26 Found x50:=(x5 x31):(cP Xy1)
% 46.04/46.26 Instantiate: Xy1:=Xy0:fofType
% 46.04/46.26 Found (x5 x31) as proof of (cP Xy0)
% 46.04/46.26 Found (x5 x31) as proof of (cP Xy0)
% 46.04/46.26 Found x50:=(x5 x60):(cP Xy1)
% 46.04/46.26 Instantiate: Xy1:=Xy0:fofType
% 46.04/46.26 Found (x5 x60) as proof of (cP Xy0)
% 46.04/46.26 Found (x5 x60) as proof of (cP Xy0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy0:=Xy:fofType
% 46.04/46.26 Found x20 as proof of (cP Xy0)
% 46.04/46.26 Found x20:=(x2 x30):(cP Xy)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found (x2 x30) as proof of (cP Xy0)
% 46.04/46.26 Found (x2 x30) as proof of (cP Xy0)
% 46.04/46.26 Found x20:=(x2 x60):(cP Xy)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found (x2 x60) as proof of (cP Xy0)
% 46.04/46.26 Found (x2 x60) as proof of (cP Xy0)
% 46.04/46.26 Found x20:=(x2 x31):(cP Xy)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found (x2 x31) as proof of (cP Xy0)
% 46.04/46.26 Found (x2 x31) as proof of (cP Xy0)
% 46.04/46.26 Found x8:(cP x7)
% 46.04/46.26 Instantiate: Xy0:=x7:fofType
% 46.04/46.26 Found x8 as proof of (cP Xy0)
% 46.04/46.26 Found (x5 x8) as proof of (cP x0)
% 46.04/46.26 Found (x5 x8) as proof of (cP x0)
% 46.04/46.26 Found x8:(cP x7)
% 46.04/46.26 Instantiate: Xy:=x7:fofType
% 46.04/46.26 Found x8 as proof of (cP Xy)
% 46.04/46.26 Found (x3 x8) as proof of (cP x0)
% 46.04/46.26 Found (x3 x8) as proof of (cP x0)
% 46.04/46.26 Found x8:(cP x7)
% 46.04/46.26 Instantiate: Xy:=x7:fofType
% 46.04/46.26 Found x8 as proof of (cP Xy)
% 46.04/46.26 Found (x3 x8) as proof of (cP x0)
% 46.04/46.26 Found (x3 x8) as proof of (cP x0)
% 46.04/46.26 Found x8:(cP x7)
% 46.04/46.26 Instantiate: Xy0:=x7:fofType
% 46.04/46.26 Found x8 as proof of (cP Xy0)
% 46.04/46.26 Found (x5 x8) as proof of (cP x0)
% 46.04/46.26 Found (x5 x8) as proof of (cP x0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x20 as proof of (cP x0)
% 46.04/46.26 Found x20:(cP Xy)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x20 as proof of (cP x0)
% 46.04/46.26 Found x20:=(x2 x61):(cP Xy)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found (x2 x61) as proof of (cP Xy0)
% 46.04/46.26 Found (x2 x61) as proof of (cP Xy0)
% 46.04/46.26 Found x50:=(x5 x61):(cP Xy1)
% 46.04/46.26 Instantiate: Xy1:=Xy0:fofType
% 46.04/46.26 Found (x5 x61) as proof of (cP Xy0)
% 46.04/46.26 Found (x5 x61) as proof of (cP Xy0)
% 46.04/46.26 Found x30:(cP x0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x30 as proof of (cP Xy0)
% 46.04/46.26 Found x30:(cP x0)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x30 as proof of (cP Xy)
% 46.04/46.26 Found x50:(cP x0)
% 46.04/46.26 Instantiate: Xy:=x0:fofType
% 46.04/46.26 Found x50 as proof of (cP Xy)
% 46.04/46.26 Found x50:(cP x0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x50 as proof of (cP Xy0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy0:=x0:fofType
% 46.04/46.26 Found x40 as proof of (cP x0)
% 46.04/46.26 Found x40:(cP Xy0)
% 46.04/46.26 Instantiate: Xy:=Xy0:fofType
% 46.04/46.26 Found x40 as proof of (cP Xy)
% 47.81/48.03 Found x8:(cP x7)
% 47.81/48.03 Instantiate: Xy:=x7:fofType
% 47.81/48.03 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 47.81/48.03 Found x8:(cP x7)
% 47.81/48.03 Instantiate: Xy0:=x7:fofType
% 47.81/48.03 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found x20 as proof of (cP Xy0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x20 as proof of (cP x0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x20 as proof of (cP x0)
% 47.81/48.03 Found x40:(cP Xy0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x40 as proof of (cP x0)
% 47.81/48.03 Found x40:(cP Xy0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x40 as proof of (cP x0)
% 47.81/48.03 Found x50:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x50 as proof of (cP Xy)
% 47.81/48.03 Found x40:(cP Xy0)
% 47.81/48.03 Instantiate: Xy:=Xy0:fofType
% 47.81/48.03 Found x40 as proof of (cP Xy)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy0)
% 47.81/48.03 Found x50:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x50 as proof of (cP Xy)
% 47.81/48.03 Found x40:(cP Xy0)
% 47.81/48.03 Instantiate: Xy:=Xy0:fofType
% 47.81/48.03 Found x40 as proof of (cP Xy)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found x20 as proof of (cP Xy0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x20 as proof of (cP x0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x20 as proof of (cP x0)
% 47.81/48.03 Found x30:=(x3 x41):(cP Xy0)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found (x3 x41) as proof of (cP Xy)
% 47.81/48.03 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 47.81/48.03 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 47.81/48.03 Found x30:=(x3 x41):(cP Xy0)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found (x3 x41) as proof of (cP Xy)
% 47.81/48.03 Found (x3 x41) as proof of (cP Xy)
% 47.81/48.03 Found x6:(cP x5)
% 47.81/48.03 Instantiate: Xy:=x5:fofType
% 47.81/48.03 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 47.81/48.03 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 47.81/48.03 Found x30:=(x3 x40):(cP Xy0)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found (x3 x40) as proof of (cP Xy)
% 47.81/48.03 Found (x3 x40) as proof of (cP Xy)
% 47.81/48.03 Found x50:=(x5 x40):(cP Xy1)
% 47.81/48.03 Instantiate: Xy1:=Xy:fofType
% 47.81/48.03 Found (x5 x40) as proof of (cP Xy)
% 47.81/48.03 Found (x5 x40) as proof of (cP Xy)
% 47.81/48.03 Found x30:=(x3 x60):(cP Xy0)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found (x3 x60) as proof of (cP Xy)
% 47.81/48.03 Found (x3 x60) as proof of (cP Xy)
% 47.81/48.03 Found x50:=(x5 x60):(cP Xy1)
% 47.81/48.03 Instantiate: Xy1:=Xy:fofType
% 47.81/48.03 Found (x5 x60) as proof of (cP Xy)
% 47.81/48.03 Found (x5 x60) as proof of (cP Xy)
% 47.81/48.03 Found x60:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x60 as proof of (cP Xy)
% 47.81/48.03 Found x60:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x60 as proof of (cP Xy)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy1:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy1)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy1:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy1)
% 47.81/48.03 Found x40:=(x4 x50):(cP Xy0)
% 47.81/48.03 Found (x4 x50) as proof of (cP Xy1)
% 47.81/48.03 Found (x4 x50) as proof of (cP Xy1)
% 47.81/48.03 Found (x4 x50) as proof of (cP Xy1)
% 47.81/48.03 Found x20:=(x2 x30):(cP Xy)
% 47.81/48.03 Found (x2 x30) as proof of (cP Xy1)
% 47.81/48.03 Found (x2 x30) as proof of (cP Xy1)
% 47.81/48.03 Found (x2 x30) as proof of (cP Xy1)
% 47.81/48.03 Found x40:=(x4 x30):(cP Xy0)
% 47.81/48.03 Found (x4 x30) as proof of (cP Xy1)
% 47.81/48.03 Found (x4 x30) as proof of (cP Xy1)
% 47.81/48.03 Found (x4 x30) as proof of (cP Xy1)
% 47.81/48.03 Found x20:=(x2 x50):(cP Xy)
% 47.81/48.03 Found (x2 x50) as proof of (cP Xy1)
% 47.81/48.03 Found (x2 x50) as proof of (cP Xy1)
% 47.81/48.03 Found (x2 x50) as proof of (cP Xy1)
% 47.81/48.03 Found x50:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x50 as proof of (cP Xy)
% 47.81/48.03 Found x50:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x50 as proof of (cP Xy)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy0)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy0)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy0)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy0)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy)
% 47.81/48.03 Found x30:(cP x0)
% 47.81/48.03 Instantiate: Xy0:=x0:fofType
% 47.81/48.03 Found x30 as proof of (cP Xy0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x20 as proof of (cP x0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy0:=Xy:fofType
% 47.81/48.03 Found x20 as proof of (cP Xy0)
% 47.81/48.03 Found x20:(cP Xy)
% 47.81/48.03 Instantiate: Xy:=x0:fofType
% 47.81/48.03 Found x20 as proof of (cP x0)
% 47.81/48.03 Found x6:(cP x5)
% 49.13/49.33 Instantiate: Xy:=x5:fofType
% 49.13/49.33 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 49.13/49.33 Found x50:=(x5 x60):(cP Xy1)
% 49.13/49.33 Instantiate: Xy1:=Xy0:fofType
% 49.13/49.33 Found (x5 x60) as proof of (cP Xy0)
% 49.13/49.33 Found (x5 x60) as proof of (cP Xy0)
% 49.13/49.33 Found x20:=(x2 x60):(cP Xy)
% 49.13/49.33 Instantiate: Xy:=Xy0:fofType
% 49.13/49.33 Found (x2 x60) as proof of (cP Xy0)
% 49.13/49.33 Found (x2 x60) as proof of (cP Xy0)
% 49.13/49.33 Found x20:=(x2 x31):(cP Xy)
% 49.13/49.33 Instantiate: Xy:=Xy0:fofType
% 49.13/49.33 Found (x2 x31) as proof of (cP Xy0)
% 49.13/49.33 Found (x2 x31) as proof of (cP Xy0)
% 49.13/49.33 Found x50:=(x5 x31):(cP Xy1)
% 49.13/49.33 Instantiate: Xy1:=Xy0:fofType
% 49.13/49.33 Found (x5 x31) as proof of (cP Xy0)
% 49.13/49.33 Found (x5 x31) as proof of (cP Xy0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy0:=Xy:fofType
% 49.13/49.33 Found x20 as proof of (cP Xy0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy0:=Xy:fofType
% 49.13/49.33 Found x20 as proof of (cP Xy0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy:=Xy0:fofType
% 49.13/49.33 Found x40 as proof of (cP Xy)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy0)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy:=Xy0:fofType
% 49.13/49.33 Found x40 as proof of (cP Xy)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x50:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x3:fofType
% 49.13/49.33 Found x50 as proof of (cP x3)
% 49.13/49.33 Found x22:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x22 as proof of (cP x0)
% 49.13/49.33 Found x50:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x1:fofType
% 49.13/49.33 Found x50 as proof of (cP x1)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy0:=Xy:fofType
% 49.13/49.33 Found x20 as proof of (cP Xy0)
% 49.13/49.33 Found x41:(cP x1)
% 49.13/49.33 Found x41 as proof of (cP x1)
% 49.13/49.33 Found (x3 x41) as proof of (cP Xy)
% 49.13/49.33 Found (x3 x41) as proof of (cP Xy)
% 49.13/49.33 Found (x3 x41) as proof of (cP Xy)
% 49.13/49.33 Found x50:(cP x0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x50 as proof of (cP Xy0)
% 49.13/49.33 Found x50:(cP x0)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x50 as proof of (cP Xy)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy0)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy)
% 49.13/49.33 Found x50:(cP x0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x50 as proof of (cP Xy0)
% 49.13/49.33 Found x30:(cP x0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x30 as proof of (cP Xy0)
% 49.13/49.33 Found x50:(cP x0)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x50 as proof of (cP Xy)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy:=Xy0:fofType
% 49.13/49.33 Found x40 as proof of (cP Xy)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy0:=Xy:fofType
% 49.13/49.33 Found x20 as proof of (cP Xy0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x31:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x31 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy0:=x0:fofType
% 49.13/49.33 Found x40 as proof of (cP x0)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy:=x0:fofType
% 49.13/49.33 Found x20 as proof of (cP x0)
% 49.13/49.33 Found x40:(cP Xy0)
% 49.13/49.33 Instantiate: Xy:=Xy0:fofType
% 49.13/49.33 Found x40 as proof of (cP Xy)
% 49.13/49.33 Found x20:(cP Xy)
% 49.13/49.33 Instantiate: Xy0:=Xy:fofType
% 49.13/49.33 Found x20 as proof of (cP Xy0)
% 49.13/49.33 Found x30:=(x3 x41):(cP Xy0)
% 49.99/50.18 Instantiate: Xy0:=Xy:fofType
% 49.99/50.18 Found (x3 x41) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 49.99/50.18 Found x50:=(x5 x40):(cP Xy1)
% 49.99/50.18 Instantiate: Xy1:=Xy:fofType
% 49.99/50.18 Found (x5 x40) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 49.99/50.18 Found x6:(cP x5)
% 49.99/50.18 Instantiate: Xy0:=x5:fofType
% 49.99/50.18 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 49.99/50.18 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy0))
% 49.99/50.18 Found x40:(cP x0)
% 49.99/50.18 Found (fun (x6:(cP x5))=> x40) as proof of (cP x0)
% 49.99/50.18 Found (fun (x6:(cP x5))=> x40) as proof of ((cP x5)->(cP x0))
% 49.99/50.18 Found x30:=(x3 x40):(cP Xy0)
% 49.99/50.18 Instantiate: Xy0:=Xy:fofType
% 49.99/50.18 Found (x3 x40) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 49.99/50.18 Found x00:=(x0 x3):(cP x3)
% 49.99/50.18 Found (x0 x3) as proof of (cP x3)
% 49.99/50.18 Found (x0 x3) as proof of (cP x3)
% 49.99/50.18 Found (ex_intro000 (x0 x3)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 49.99/50.18 Found x6:(cP x5)
% 49.99/50.18 Instantiate: Xy:=x5:fofType
% 49.99/50.18 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 49.99/50.18 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 49.99/50.18 Found x40:(cP Xy0)
% 49.99/50.18 Instantiate: Xy0:=x0:fofType
% 49.99/50.18 Found x40 as proof of (cP x0)
% 49.99/50.18 Found x40:(cP Xy0)
% 49.99/50.18 Instantiate: Xy0:=x0:fofType
% 49.99/50.18 Found x40 as proof of (cP x0)
% 49.99/50.18 Found x6:(cP x5)
% 49.99/50.18 Instantiate: Xy:=x5:fofType
% 49.99/50.18 Found x6 as proof of (cP Xy)
% 49.99/50.18 Found (x3 x6) as proof of (cP x0)
% 49.99/50.18 Found (fun (x8:((cP Xy0)->(cP x0)))=> (x3 x6)) as proof of (cP x0)
% 49.99/50.18 Found (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x3 x6)) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 49.99/50.18 Found (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x3 x6)) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 49.99/50.18 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x3 x6))) as proof of (cP x0)
% 49.99/50.18 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x3 x6))) as proof of (cP x0)
% 49.99/50.18 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x3 x6))) as proof of (cP x0)
% 49.99/50.18 Found x40:=(x4 x50):(cP Xy0)
% 49.99/50.18 Found (x4 x50) as proof of (cP Xy1)
% 49.99/50.18 Found (x4 x50) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 49.99/50.18 Found x20:=(x2 x30):(cP Xy)
% 49.99/50.18 Found (x2 x30) as proof of (cP Xy1)
% 49.99/50.18 Found (x2 x30) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 49.99/50.18 Found x40:=(x4 x30):(cP Xy0)
% 49.99/50.18 Found (x4 x30) as proof of (cP Xy1)
% 49.99/50.18 Found (x4 x30) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 49.99/50.18 Found x20:=(x2 x50):(cP Xy)
% 49.99/50.18 Found (x2 x50) as proof of (cP Xy1)
% 49.99/50.18 Found (x2 x50) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 49.99/50.18 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 49.99/50.18 Found x30:(cP Xy0)
% 49.99/50.18 Instantiate: Xy0:=x1:fofType
% 49.99/50.18 Found x30 as proof of (cP x1)
% 49.99/50.18 Found x40:(cP x1)
% 49.99/50.18 Instantiate: Xy0:=x1:fofType
% 49.99/50.18 Found x40 as proof of (cP Xy0)
% 49.99/50.18 Found x30:(cP x0)
% 49.99/50.18 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 49.99/50.18 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 49.99/50.18 Found x30:(cP x0)
% 49.99/50.18 Instantiate: Xy:=x0:fofType
% 49.99/50.18 Found x30 as proof of (cP Xy)
% 49.99/50.18 Found x30:(cP x0)
% 49.99/50.18 Instantiate: Xy0:=x0:fofType
% 49.99/50.18 Found x30 as proof of (cP Xy0)
% 49.99/50.18 Found x30:(cP x0)
% 49.99/50.18 Instantiate: Xy0:=x0:fofType
% 49.99/50.18 Found x30 as proof of (cP Xy0)
% 49.99/50.18 Found x20:=(x2 x31):(cP Xy)
% 49.99/50.18 Instantiate: Xy:=Xy0:fofType
% 49.99/50.18 Found (x2 x31) as proof of (cP Xy0)
% 49.99/50.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (cP Xy0)
% 49.99/50.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 49.99/50.18 Found x50:=(x5 x31):(cP Xy1)
% 51.49/51.69 Instantiate: Xy1:=Xy0:fofType
% 51.49/51.69 Found (x5 x31) as proof of (cP Xy0)
% 51.49/51.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (cP Xy0)
% 51.49/51.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 51.49/51.69 Found x30:(cP x0)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x30 as proof of (cP Xy)
% 51.49/51.69 Found x30:(cP x0)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x30 as proof of (cP Xy)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x20:=(x2 x60):(cP Xy)
% 51.49/51.69 Instantiate: Xy:=Xy0:fofType
% 51.49/51.69 Found (x2 x60) as proof of (cP Xy0)
% 51.49/51.69 Found (x2 x60) as proof of (cP Xy0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy0:=Xy:fofType
% 51.49/51.69 Found x20 as proof of (cP Xy0)
% 51.49/51.69 Found x50:=(x5 x60):(cP Xy1)
% 51.49/51.69 Instantiate: Xy1:=Xy0:fofType
% 51.49/51.69 Found (x5 x60) as proof of (cP Xy0)
% 51.49/51.69 Found (x5 x60) as proof of (cP Xy0)
% 51.49/51.69 Found x20:=(x2 x31):(cP Xy)
% 51.49/51.69 Instantiate: Xy:=Xy0:fofType
% 51.49/51.69 Found (x2 x31) as proof of (cP Xy0)
% 51.49/51.69 Found (x2 x31) as proof of (cP Xy0)
% 51.49/51.69 Found x50:=(x5 x31):(cP Xy1)
% 51.49/51.69 Instantiate: Xy1:=Xy0:fofType
% 51.49/51.69 Found (x5 x31) as proof of (cP Xy0)
% 51.49/51.69 Found (x5 x31) as proof of (cP Xy0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy0:=Xy:fofType
% 51.49/51.69 Found x20 as proof of (cP Xy0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x50:(cP x0)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x50 as proof of (cP Xy)
% 51.49/51.69 Found x30:(cP x0)
% 51.49/51.69 Instantiate: Xy0:=x0:fofType
% 51.49/51.69 Found x30 as proof of (cP Xy0)
% 51.49/51.69 Found x30:(cP x0)
% 51.49/51.69 Instantiate: Xy0:=x0:fofType
% 51.49/51.69 Found x30 as proof of (cP Xy0)
% 51.49/51.69 Found x50:(cP x0)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x50 as proof of (cP Xy)
% 51.49/51.69 Found x22:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x22 as proof of (cP x0)
% 51.49/51.69 Found x50:=(x5 x60):(cP Xy0)
% 51.49/51.69 Found (x5 x60) as proof of (cP Xy)
% 51.49/51.69 Found (x5 x60) as proof of (cP Xy)
% 51.49/51.69 Found (x5 x60) as proof of (cP Xy)
% 51.49/51.69 Found x8:(cP x7)
% 51.49/51.69 Instantiate: Xy:=x7:fofType
% 51.49/51.69 Found x8 as proof of (cP Xy)
% 51.49/51.69 Found (x3 x8) as proof of (cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 51.49/51.69 Found x8:(cP x7)
% 51.49/51.69 Instantiate: Xy0:=x7:fofType
% 51.49/51.69 Found x8 as proof of (cP Xy0)
% 51.49/51.69 Found (x6 x8) as proof of (cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 51.49/51.69 Found x8:(cP x7)
% 51.49/51.69 Instantiate: Xy:=x7:fofType
% 51.49/51.69 Found x8 as proof of (cP Xy)
% 51.49/51.69 Found (x3 x8) as proof of (cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 51.49/51.69 Found x8:(cP x7)
% 51.49/51.69 Instantiate: Xy1:=x7:fofType
% 51.49/51.69 Found x8 as proof of (cP Xy1)
% 51.49/51.69 Found (x6 x8) as proof of (cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 51.49/51.69 Found x30:(cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 51.49/51.69 Found x50:(cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 51.49/51.69 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 51.49/51.69 Found x50:(cP Xy0)
% 51.49/51.69 Instantiate: Xy:=Xy0:fofType
% 51.49/51.69 Found x50 as proof of (cP Xy)
% 51.49/51.69 Found x20:(cP Xy)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x20 as proof of (cP x0)
% 51.49/51.69 Found x30:(cP x0)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x30 as proof of (cP Xy)
% 51.49/51.69 Found x60:(cP x0)
% 51.49/51.69 Instantiate: Xy:=x0:fofType
% 51.49/51.69 Found x60 as proof of (cP Xy)
% 51.49/51.69 Found x30:(cP Xy0)
% 51.49/51.69 Instantiate: Xy0:=x1:fofType
% 51.49/51.69 Found x30 as proof of (cP x1)
% 51.49/51.69 Found x40:(cP x1)
% 51.49/51.69 Instantiate: Xy0:=x1:fofType
% 51.49/51.69 Found x40 as proof of (cP Xy0)
% 51.49/51.69 Found x30:=(x3 x40):(cP Xy0)
% 51.49/51.69 Instantiate: Xy0:=Xy:fofType
% 51.49/51.69 Found (x3 x40) as proof of (cP Xy)
% 51.49/51.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (cP Xy)
% 51.49/51.69 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 51.49/51.69 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy)))
% 51.49/51.69 Found x50:=(x5 x40):(cP Xy1)
% 51.49/51.69 Instantiate: Xy1:=Xy:fofType
% 51.49/51.69 Found (x5 x40) as proof of (cP Xy)
% 51.49/51.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (cP Xy)
% 51.49/51.69 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 52.63/52.88 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy)))
% 52.63/52.88 Found x30:=(x3 x41):(cP Xy0)
% 52.63/52.88 Instantiate: Xy0:=Xy:fofType
% 52.63/52.88 Found (x3 x41) as proof of (cP Xy)
% 52.63/52.88 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 52.63/52.88 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 52.63/52.88 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x41)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 52.63/52.88 Found x6:(cP x5)
% 52.63/52.88 Instantiate: Xy0:=x5:fofType
% 52.63/52.88 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 52.63/52.88 Found x40:(cP x0)
% 52.63/52.88 Found (fun (x6:(cP x5))=> x40) as proof of (cP x0)
% 52.63/52.88 Found (fun (x5:fofType) (x6:(cP x5))=> x40) as proof of ((cP x5)->(cP x0))
% 52.63/52.88 Found (fun (x5:fofType) (x6:(cP x5))=> x40) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 52.63/52.88 Found x6:(cP x5)
% 52.63/52.88 Instantiate: Xy:=x5:fofType
% 52.63/52.88 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 52.63/52.88 Found x20:(cP Xy)
% 52.63/52.88 Instantiate: Xy:=x0:fofType
% 52.63/52.88 Found x20 as proof of (cP x0)
% 52.63/52.88 Found x22:(cP Xy)
% 52.63/52.88 Instantiate: Xy:=Xy0:fofType
% 52.63/52.88 Found x22 as proof of (cP Xy0)
% 52.63/52.88 Found x20:=(x2 x50):(cP Xy)
% 52.63/52.88 Found (x2 x50) as proof of (cP Xy1)
% 52.63/52.88 Found (x2 x50) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 52.63/52.88 Found x40:=(x4 x50):(cP Xy0)
% 52.63/52.88 Found (x4 x50) as proof of (cP Xy1)
% 52.63/52.88 Found (x4 x50) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 52.63/52.88 Found x40:=(x4 x30):(cP Xy0)
% 52.63/52.88 Found (x4 x30) as proof of (cP Xy1)
% 52.63/52.88 Found (x4 x30) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 52.63/52.88 Found x20:=(x2 x30):(cP Xy)
% 52.63/52.88 Found (x2 x30) as proof of (cP Xy1)
% 52.63/52.88 Found (x2 x30) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 52.63/52.88 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 52.63/52.88 Found x50:(cP x0)
% 52.63/52.88 Instantiate: Xy:=x0:fofType
% 52.63/52.88 Found x50 as proof of (cP Xy)
% 52.63/52.88 Found x20:(cP Xy)
% 52.63/52.88 Instantiate: Xy0:=Xy:fofType
% 52.63/52.88 Found x20 as proof of (cP Xy0)
% 52.63/52.88 Found x30:(cP x0)
% 52.63/52.88 Instantiate: Xy0:=x0:fofType
% 52.63/52.88 Found x30 as proof of (cP Xy0)
% 52.63/52.88 Found x40:(cP Xy0)
% 52.63/52.88 Instantiate: Xy:=Xy0:fofType
% 52.63/52.88 Found x40 as proof of (cP Xy)
% 52.63/52.88 Found x30:(cP x0)
% 52.63/52.88 Instantiate: Xy:=x0:fofType
% 52.63/52.88 Found x30 as proof of (cP Xy)
% 52.63/52.88 Found x50:(cP x0)
% 52.63/52.88 Instantiate: Xy0:=x0:fofType
% 52.63/52.88 Found x50 as proof of (cP Xy0)
% 52.63/52.88 Found x50:(cP x0)
% 52.63/52.88 Instantiate: Xy:=x0:fofType
% 52.63/52.88 Found x50 as proof of (cP Xy)
% 52.63/52.88 Found x30:=(x3 x40):(cP Xy0)
% 52.63/52.88 Found (x3 x40) as proof of (cP Xy)
% 52.63/52.88 Found (x3 x40) as proof of (cP Xy)
% 52.63/52.88 Found (x3 x40) as proof of (cP Xy)
% 52.63/52.88 Found x30:(cP Xy0)
% 52.63/52.88 Instantiate: Xy0:=x1:fofType
% 52.63/52.88 Found x30 as proof of (cP x1)
% 52.63/52.88 Found x40:(cP x1)
% 52.63/52.88 Instantiate: Xy0:=x1:fofType
% 52.63/52.88 Found x40 as proof of (cP Xy0)
% 52.63/52.88 Found x30:(cP x0)
% 52.63/52.88 Instantiate: Xy0:=x0:fofType
% 52.63/52.88 Found x30 as proof of (cP Xy0)
% 52.63/52.88 Found x22:(cP Xy)
% 52.63/52.88 Instantiate: Xy:=x0:fofType
% 52.63/52.88 Found x22 as proof of (cP x0)
% 52.63/52.88 Found x20:(cP Xy)
% 52.63/52.88 Instantiate: Xy0:=Xy:fofType
% 52.63/52.88 Found x20 as proof of (cP Xy0)
% 52.63/52.88 Found x20:=(x2 x31):(cP Xy)
% 52.63/52.88 Instantiate: Xy:=Xy0:fofType
% 52.63/52.88 Found (x2 x31) as proof of (cP Xy0)
% 52.63/52.88 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (cP Xy0)
% 52.63/52.88 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 52.63/52.88 Found x30:(cP x0)
% 52.63/52.88 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 52.63/52.88 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 52.63/52.88 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 54.29/54.57 Found x50:=(x5 x31):(cP Xy1)
% 54.29/54.57 Instantiate: Xy1:=Xy0:fofType
% 54.29/54.57 Found (x5 x31) as proof of (cP Xy0)
% 54.29/54.57 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (cP Xy0)
% 54.29/54.57 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=Xy0:fofType
% 54.29/54.57 Found x20 as proof of (cP Xy0)
% 54.29/54.57 Found x8:(cP x7)
% 54.29/54.57 Instantiate: Xy:=x7:fofType
% 54.29/54.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 54.29/54.57 Found x8:(cP x7)
% 54.29/54.57 Instantiate: Xy1:=x7:fofType
% 54.29/54.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 54.29/54.57 Found x8:(cP x7)
% 54.29/54.57 Instantiate: Xy0:=x7:fofType
% 54.29/54.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 54.29/54.57 Found x8:(cP x7)
% 54.29/54.57 Instantiate: Xy:=x7:fofType
% 54.29/54.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 54.29/54.57 Found x22:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x22 as proof of (cP x0)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy)
% 54.29/54.57 Found x50:(cP x0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x50 as proof of (cP Xy0)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy0)
% 54.29/54.57 Found x50:(cP x0)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x50 as proof of (cP Xy)
% 54.29/54.57 Found x50:(cP x0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x50 as proof of (cP Xy0)
% 54.29/54.57 Found x50:(cP x0)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x50 as proof of (cP Xy)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy0)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Found (fun (x6:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 54.29/54.57 Found (fun (x6:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 54.29/54.57 Found x50:(cP Xy0)
% 54.29/54.57 Instantiate: Xy:=Xy0:fofType
% 54.29/54.57 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 54.29/54.57 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x40:(cP Xy0)
% 54.29/54.57 Instantiate: Xy:=Xy0:fofType
% 54.29/54.57 Found x40 as proof of (cP Xy)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy0:=Xy:fofType
% 54.29/54.57 Found x20 as proof of (cP Xy0)
% 54.29/54.57 Found x40:(cP Xy0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x40 as proof of (cP x0)
% 54.29/54.57 Found x40:(cP Xy0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x40 as proof of (cP x0)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 54.29/54.57 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 54.29/54.57 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 54.29/54.57 Found x40:(cP Xy0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x40 as proof of (cP x0)
% 54.29/54.57 Found x50:(cP x0)
% 54.29/54.57 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 54.29/54.57 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 54.29/54.57 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Found (fun (x6:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 54.29/54.57 Found (fun (x6:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 54.29/54.57 Found x40:(cP Xy0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x40 as proof of (cP x0)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x40:(cP Xy0)
% 54.29/54.57 Instantiate: Xy:=Xy0:fofType
% 54.29/54.57 Found x40 as proof of (cP Xy)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy0:=Xy:fofType
% 54.29/54.57 Found x20 as proof of (cP Xy0)
% 54.29/54.57 Found x60:(cP x3)
% 54.29/54.57 Instantiate: Xy0:=x3:fofType
% 54.29/54.57 Found x60 as proof of (cP Xy0)
% 54.29/54.57 Found x20:(cP Xy)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x20 as proof of (cP x0)
% 54.29/54.57 Found x8:(cP x7)
% 54.29/54.57 Instantiate: Xy:=x7:fofType
% 54.29/54.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy0)
% 54.29/54.57 Found x30:(cP x0)
% 54.29/54.57 Instantiate: Xy0:=x0:fofType
% 54.29/54.57 Found x30 as proof of (cP Xy0)
% 54.29/54.57 Found x50:(cP x0)
% 54.29/54.57 Instantiate: Xy:=x0:fofType
% 54.29/54.57 Found x50 as proof of (cP Xy)
% 55.01/55.29 Found x60:(cP x1)
% 55.01/55.29 Instantiate: Xy0:=x1:fofType
% 55.01/55.29 Found x60 as proof of (cP Xy0)
% 55.01/55.29 Found x50:(cP x0)
% 55.01/55.29 Instantiate: Xy:=x0:fofType
% 55.01/55.29 Found x50 as proof of (cP Xy)
% 55.01/55.29 Found x50:=(x5 x30):(cP Xy1)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found x20:=(x2 x30):(cP Xy)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found x20:=(x2 x30):(cP Xy)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found x20:=(x2 x61):(cP Xy)
% 55.01/55.29 Found (x2 x61) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x61) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x61) as proof of (cP Xy0)
% 55.01/55.29 Found x20:=(x2 x30):(cP Xy)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x2 x30) as proof of (cP Xy0)
% 55.01/55.29 Found x50:=(x5 x61):(cP Xy1)
% 55.01/55.29 Found (x5 x61) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x61) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x61) as proof of (cP Xy0)
% 55.01/55.29 Found x50:=(x5 x30):(cP Xy1)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found x50:=(x5 x30):(cP Xy1)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found (x5 x30) as proof of (cP Xy0)
% 55.01/55.29 Found x22:(cP Xy)
% 55.01/55.29 Instantiate: Xy:=Xy0:fofType
% 55.01/55.29 Found x22 as proof of (cP Xy0)
% 55.01/55.29 Found x41:(cP x0)
% 55.01/55.29 Instantiate: Xy0:=x0:fofType
% 55.01/55.29 Found x41 as proof of (cP Xy0)
% 55.01/55.29 Found x20:(cP Xy)
% 55.01/55.29 Instantiate: Xy:=x0:fofType
% 55.01/55.29 Found x20 as proof of (cP x0)
% 55.01/55.29 Found x30:(cP x0)
% 55.01/55.29 Instantiate: Xy0:=x0:fofType
% 55.01/55.29 Found x30 as proof of (cP Xy0)
% 55.01/55.29 Found x30:(cP x0)
% 55.01/55.29 Instantiate: Xy:=x0:fofType
% 55.01/55.29 Found x30 as proof of (cP Xy)
% 55.01/55.29 Found x50:(cP x0)
% 55.01/55.29 Instantiate: Xy0:=x0:fofType
% 55.01/55.29 Found x50 as proof of (cP Xy0)
% 55.01/55.29 Found x50:(cP x0)
% 55.01/55.29 Instantiate: Xy:=x0:fofType
% 55.01/55.29 Found x50 as proof of (cP Xy)
% 55.01/55.29 Found x20:(cP Xy)
% 55.01/55.29 Instantiate: Xy:=x0:fofType
% 55.01/55.29 Found x20 as proof of (cP x0)
% 55.01/55.29 Found x21:(cP Xy)
% 55.01/55.29 Instantiate: Xy:=Xy1:fofType
% 55.01/55.29 Found x21 as proof of (cP Xy1)
% 55.01/55.29 Found x40:(cP Xy0)
% 55.01/55.29 Instantiate: Xy0:=Xy1:fofType
% 55.01/55.29 Found x40 as proof of (cP Xy1)
% 55.01/55.29 Found x20:(cP Xy)
% 55.01/55.29 Instantiate: Xy:=x0:fofType
% 55.01/55.29 Found x20 as proof of (cP x0)
% 55.01/55.29 Found x40:(cP Xy0)
% 55.01/55.29 Instantiate: Xy0:=x0:fofType
% 55.01/55.29 Found x40 as proof of (cP x0)
% 55.01/55.29 Found x40:(cP Xy0)
% 55.01/55.29 Instantiate: Xy0:=x0:fofType
% 55.01/55.29 Found x40 as proof of (cP x0)
% 55.01/55.29 Found x41:(cP Xy0)
% 55.01/55.29 Instantiate: Xy0:=Xy1:fofType
% 55.01/55.29 Found x41 as proof of (cP Xy1)
% 55.01/55.29 Found x40:(cP Xy0)
% 55.01/55.29 Instantiate: Xy:=Xy0:fofType
% 55.01/55.29 Found x40 as proof of (cP Xy)
% 55.01/55.29 Found x20:(cP Xy)
% 55.01/55.29 Instantiate: Xy:=Xy1:fofType
% 55.01/55.29 Found x20 as proof of (cP Xy1)
% 55.01/55.29 Found x20:(cP Xy)
% 55.01/55.29 Instantiate: Xy0:=Xy:fofType
% 55.01/55.29 Found x20 as proof of (cP Xy0)
% 55.01/55.29 Found x30:=(x3 x40):(cP Xy0)
% 55.01/55.29 Found (x3 x40) as proof of (cP Xy)
% 55.01/55.29 Found (x3 x40) as proof of (cP Xy)
% 55.01/55.29 Found (x3 x40) as proof of (cP Xy)
% 55.01/55.29 Found x6:(cP x5)
% 55.01/55.29 Instantiate: Xy1:=x5:fofType
% 55.01/55.29 Found x6 as proof of (cP Xy1)
% 55.01/55.29 Found (x8 x6) as proof of (cP x0)
% 55.01/55.29 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 55.01/55.29 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 55.01/55.29 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 55.01/55.29 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 55.01/55.29 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 55.01/55.29 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 55.01/55.29 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 55.01/55.29 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 55.30/55.51 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 55.30/55.51 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 55.30/55.51 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 55.30/55.51 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 55.30/55.51 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 55.30/55.51 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 55.30/55.51 Found x30:(cP x0)
% 55.30/55.51 Found x30 as proof of (cP x0)
% 55.30/55.51 Found (x2 x30) as proof of (cP Xy1)
% 55.30/55.51 Found (x2 x30) as proof of (cP Xy1)
% 55.30/55.51 Found (x2 x30) as proof of (cP Xy1)
% 55.30/55.51 Found x50:(cP x0)
% 55.30/55.51 Found x50 as proof of (cP x0)
% 55.30/55.51 Found (x4 x50) as proof of (cP Xy1)
% 55.30/55.51 Found (x4 x50) as proof of (cP Xy1)
% 55.30/55.51 Found (x4 x50) as proof of (cP Xy1)
% 55.30/55.51 Found x30:(cP x0)
% 55.30/55.51 Found x30 as proof of (cP x0)
% 55.30/55.51 Found (x4 x30) as proof of (cP Xy1)
% 55.30/55.51 Found (x4 x30) as proof of (cP Xy1)
% 55.30/55.51 Found (x4 x30) as proof of (cP Xy1)
% 55.30/55.51 Found x50:(cP x0)
% 55.30/55.51 Found x50 as proof of (cP x0)
% 55.30/55.51 Found (x2 x50) as proof of (cP Xy1)
% 55.30/55.51 Found (x2 x50) as proof of (cP Xy1)
% 55.30/55.51 Found (x2 x50) as proof of (cP Xy1)
% 55.30/55.51 Found x20:(cP Xy)
% 55.30/55.51 Instantiate: Xy:=Xy0:fofType
% 55.30/55.51 Found x20 as proof of (cP Xy0)
% 55.30/55.51 Found x50:=(x5 x60):(cP Xy1)
% 55.30/55.51 Found (x5 x60) as proof of (cP Xy)
% 55.30/55.51 Found (x5 x60) as proof of (cP Xy)
% 55.30/55.51 Found (x5 x60) as proof of (cP Xy)
% 55.30/55.51 Found x20:(cP Xy)
% 55.30/55.51 Instantiate: Xy:=Xy0:fofType
% 55.30/55.51 Found x20 as proof of (cP Xy0)
% 55.30/55.51 Found x30:=(x3 x40):(cP Xy0)
% 55.30/55.51 Found (x3 x40) as proof of (cP Xy)
% 55.30/55.51 Found (x3 x40) as proof of (cP Xy)
% 55.30/55.51 Found (x3 x40) as proof of (cP Xy)
% 55.30/55.51 Found x20:=(x2 x31):(cP Xy)
% 55.30/55.51 Instantiate: Xy:=Xy0:fofType
% 55.30/55.51 Found (x2 x31) as proof of (cP Xy0)
% 55.30/55.51 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (cP Xy0)
% 55.30/55.51 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 55.30/55.51 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 55.30/55.51 Found x50:=(x5 x31):(cP Xy1)
% 55.30/55.51 Instantiate: Xy1:=Xy0:fofType
% 55.30/55.51 Found (x5 x31) as proof of (cP Xy0)
% 55.30/55.51 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (cP Xy0)
% 55.30/55.51 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 55.30/55.51 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 55.30/55.51 Found x30:=(x3 x60):(cP Xy0)
% 55.30/55.51 Found (x3 x60) as proof of (cP Xy)
% 55.30/55.51 Found (x3 x60) as proof of (cP Xy)
% 55.30/55.51 Found (x3 x60) as proof of (cP Xy)
% 55.30/55.51 Found x50:=(x5 x40):(cP Xy1)
% 55.30/55.51 Found (x5 x40) as proof of (cP Xy)
% 55.30/55.51 Found (x5 x40) as proof of (cP Xy)
% 56.27/56.54 Found (x5 x40) as proof of (cP Xy)
% 56.27/56.54 Found x32:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x32 as proof of (cP Xy)
% 56.27/56.54 Found x60:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x60 as proof of (cP Xy)
% 56.27/56.54 Found x22:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x22 as proof of (cP x0)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy)
% 56.27/56.54 Found x20:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x20 as proof of (cP x0)
% 56.27/56.54 Found x50:(cP Xy1)
% 56.27/56.54 Instantiate: Xy:=Xy1:fofType
% 56.27/56.54 Found x50 as proof of (cP Xy)
% 56.27/56.54 Found x8:(cP x7)
% 56.27/56.54 Instantiate: Xy:=x7:fofType
% 56.27/56.54 Found x8 as proof of (cP Xy)
% 56.27/56.54 Found (x3 x8) as proof of (cP x0)
% 56.27/56.54 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 56.27/56.54 Found x8:(cP x7)
% 56.27/56.54 Instantiate: Xy0:=x7:fofType
% 56.27/56.54 Found x8 as proof of (cP Xy0)
% 56.27/56.54 Found (x5 x8) as proof of (cP x0)
% 56.27/56.54 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 56.27/56.54 Found x8:(cP x7)
% 56.27/56.54 Instantiate: Xy0:=x7:fofType
% 56.27/56.54 Found x8 as proof of (cP Xy0)
% 56.27/56.54 Found (x5 x8) as proof of (cP x0)
% 56.27/56.54 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 56.27/56.54 Found x8:(cP x7)
% 56.27/56.54 Instantiate: Xy:=x7:fofType
% 56.27/56.54 Found x8 as proof of (cP Xy)
% 56.27/56.54 Found (x3 x8) as proof of (cP x0)
% 56.27/56.54 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 56.27/56.54 Found x50:(cP Xy0)
% 56.27/56.54 Instantiate: Xy0:=x3:fofType
% 56.27/56.54 Found x50 as proof of (cP x3)
% 56.27/56.54 Found x50:(cP Xy0)
% 56.27/56.54 Instantiate: Xy0:=x1:fofType
% 56.27/56.54 Found x50 as proof of (cP x1)
% 56.27/56.54 Found x40:(cP x1)
% 56.27/56.54 Instantiate: Xy0:=x1:fofType
% 56.27/56.54 Found x40 as proof of (cP Xy0)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy0:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy0)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy0:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy0)
% 56.27/56.54 Found x22:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x22 as proof of (cP x0)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy)
% 56.27/56.54 Found x30:(cP x0)
% 56.27/56.54 Instantiate: Xy0:=x0:fofType
% 56.27/56.54 Found x30 as proof of (cP Xy0)
% 56.27/56.54 Found x20:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x20 as proof of (cP x0)
% 56.27/56.54 Found x20:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x20 as proof of (cP x0)
% 56.27/56.54 Found x20:(cP Xy)
% 56.27/56.54 Instantiate: Xy0:=Xy:fofType
% 56.27/56.54 Found x20 as proof of (cP Xy0)
% 56.27/56.54 Found x20:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x20 as proof of (cP x0)
% 56.27/56.54 Found x20:(cP Xy)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x20 as proof of (cP x0)
% 56.27/56.54 Found x50:(cP x0)
% 56.27/56.54 Instantiate: Xy:=x0:fofType
% 56.27/56.54 Found x50 as proof of (cP Xy)
% 56.27/56.54 Found x40:(cP Xy0)
% 56.27/56.54 Instantiate: Xy:=Xy0:fofType
% 56.27/56.54 Found x40 as proof of (cP Xy)
% 56.27/56.54 Found x20:=(x2 x30):(cP Xy)
% 56.27/56.54 Instantiate: Xy:=Xy1:fofType
% 56.27/56.54 Found (x2 x30) as proof of (cP Xy1)
% 56.27/56.54 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 56.27/56.54 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 56.27/56.54 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 56.27/56.54 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 56.27/56.54 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 56.27/56.54 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 56.27/56.54 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 56.27/56.54 Found x40:=(x4 x50):(cP Xy0)
% 56.27/56.54 Instantiate: Xy0:=Xy1:fofType
% 56.27/56.54 Found (x4 x50) as proof of (cP Xy1)
% 56.27/56.54 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 56.27/56.54 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 56.27/56.54 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 56.27/56.54 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 56.27/56.54 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 56.27/56.54 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 56.27/56.54 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy0:=Xy:fofType
% 57.91/58.14 Found x20 as proof of (cP Xy0)
% 57.91/58.14 Found x50:=(x5 x30):(cP Xy1)
% 57.91/58.14 Found (x5 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x5 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x5 x30) as proof of (cP Xy0)
% 57.91/58.14 Found x20:=(x2 x30):(cP Xy)
% 57.91/58.14 Found (x2 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x2 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x2 x30) as proof of (cP Xy0)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x40:(cP Xy0)
% 57.91/58.14 Instantiate: Xy:=Xy0:fofType
% 57.91/58.14 Found x40 as proof of (cP Xy)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x40:(cP Xy0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x40 as proof of (cP x0)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy0:=Xy:fofType
% 57.91/58.14 Found x20 as proof of (cP Xy0)
% 57.91/58.14 Found x40:(cP Xy0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x40 as proof of (cP x0)
% 57.91/58.14 Found x50:=(x5 x30):(cP Xy1)
% 57.91/58.14 Found (x5 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x5 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x5 x30) as proof of (cP Xy0)
% 57.91/58.14 Found x20:=(x2 x30):(cP Xy)
% 57.91/58.14 Found (x2 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x2 x30) as proof of (cP Xy0)
% 57.91/58.14 Found (x2 x30) as proof of (cP Xy0)
% 57.91/58.14 Found x40:(cP Xy0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x40 as proof of (cP x0)
% 57.91/58.14 Found x40:(cP Xy0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x40 as proof of (cP x0)
% 57.91/58.14 Found x40:(cP Xy0)
% 57.91/58.14 Instantiate: Xy:=Xy0:fofType
% 57.91/58.14 Found x40 as proof of (cP Xy)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Found (fun (x6:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 57.91/58.14 Found (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 57.91/58.14 Found (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Found (fun (x6:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 57.91/58.14 Found (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 57.91/58.14 Found (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy0)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy0)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy0)
% 57.91/58.14 Found x50:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x50 as proof of (cP Xy)
% 57.91/58.14 Found x50:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x50 as proof of (cP Xy)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy0)
% 57.91/58.14 Found x50:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x50 as proof of (cP Xy)
% 57.91/58.14 Found x50:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x50 as proof of (cP Xy)
% 57.91/58.14 Found x40:=(x4 Xy):(cP Xy)
% 57.91/58.14 Found (x4 Xy) as proof of (cP Xy)
% 57.91/58.14 Found (x4 Xy) as proof of (cP Xy)
% 57.91/58.14 Found x40:=(x4 x0):(cP x0)
% 57.91/58.14 Found (x4 x0) as proof of (cP x0)
% 57.91/58.14 Found (x4 x0) as proof of (cP x0)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x22:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=Xy0:fofType
% 57.91/58.14 Found x22 as proof of (cP Xy0)
% 57.91/58.14 Found x20:(cP Xy)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x20 as proof of (cP x0)
% 57.91/58.14 Found x50:(cP x0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x50 as proof of (cP Xy0)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy0:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy0)
% 57.91/58.14 Found x60:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x60 as proof of (cP Xy)
% 57.91/58.14 Found x50:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x50 as proof of (cP Xy)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy)
% 57.91/58.14 Found x60:(cP x0)
% 57.91/58.14 Instantiate: Xy1:=x0:fofType
% 57.91/58.14 Found x60 as proof of (cP Xy1)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy1:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy1)
% 57.91/58.14 Found x30:(cP x0)
% 57.91/58.14 Instantiate: Xy:=x0:fofType
% 57.91/58.14 Found x30 as proof of (cP Xy)
% 58.32/58.58 Found x50:(cP Xy1)
% 58.32/58.58 Instantiate: Xy1:=x0:fofType
% 58.32/58.58 Found x50 as proof of (cP x0)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy:=x0:fofType
% 58.32/58.58 Found x20 as proof of (cP x0)
% 58.32/58.58 Found x50:(cP Xy1)
% 58.32/58.58 Instantiate: Xy:=Xy1:fofType
% 58.32/58.58 Found x50 as proof of (cP Xy)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy1:=Xy:fofType
% 58.32/58.58 Found x20 as proof of (cP Xy1)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy:=x0:fofType
% 58.32/58.58 Found x20 as proof of (cP x0)
% 58.32/58.58 Found x8:(cP x7)
% 58.32/58.58 Instantiate: Xy:=x7:fofType
% 58.32/58.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 58.32/58.58 Found x8:(cP x7)
% 58.32/58.58 Instantiate: Xy0:=x7:fofType
% 58.32/58.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 58.32/58.58 Found x50:(cP Xy1)
% 58.32/58.58 Instantiate: Xy1:=x0:fofType
% 58.32/58.58 Found x50 as proof of (cP x0)
% 58.32/58.58 Found x30:(cP Xy0)
% 58.32/58.58 Instantiate: Xy0:=x1:fofType
% 58.32/58.58 Found x30 as proof of (cP x1)
% 58.32/58.58 Found x8:(cP x7)
% 58.32/58.58 Instantiate: Xy:=x7:fofType
% 58.32/58.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 58.32/58.58 Found x40:(cP x1)
% 58.32/58.58 Instantiate: Xy0:=x1:fofType
% 58.32/58.58 Found x40 as proof of (cP Xy0)
% 58.32/58.58 Found x8:(cP x7)
% 58.32/58.58 Instantiate: Xy0:=x7:fofType
% 58.32/58.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 58.32/58.58 Found x40:(cP Xy0)
% 58.32/58.58 Instantiate: Xy0:=x0:fofType
% 58.32/58.58 Found x40 as proof of (cP x0)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy:=x0:fofType
% 58.32/58.58 Found x20 as proof of (cP x0)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy:=x0:fofType
% 58.32/58.58 Found x20 as proof of (cP x0)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy0:=Xy:fofType
% 58.32/58.58 Found x20 as proof of (cP Xy0)
% 58.32/58.58 Found x40:(cP Xy0)
% 58.32/58.58 Instantiate: Xy0:=x0:fofType
% 58.32/58.58 Found x40 as proof of (cP x0)
% 58.32/58.58 Found x40:(cP Xy0)
% 58.32/58.58 Instantiate: Xy0:=Xy1:fofType
% 58.32/58.58 Found x40 as proof of (cP Xy1)
% 58.32/58.58 Found x21:(cP Xy)
% 58.32/58.58 Instantiate: Xy:=Xy1:fofType
% 58.32/58.58 Found x21 as proof of (cP Xy1)
% 58.32/58.58 Found x40:(cP Xy0)
% 58.32/58.58 Instantiate: Xy:=Xy0:fofType
% 58.32/58.58 Found x40 as proof of (cP Xy)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy:=Xy1:fofType
% 58.32/58.58 Found x20 as proof of (cP Xy1)
% 58.32/58.58 Found x41:(cP Xy0)
% 58.32/58.58 Instantiate: Xy0:=Xy1:fofType
% 58.32/58.58 Found x41 as proof of (cP Xy1)
% 58.32/58.58 Found x30:(cP x0)
% 58.32/58.58 Instantiate: Xy1:=x0:fofType
% 58.32/58.58 Found x30 as proof of (cP Xy1)
% 58.32/58.58 Found x60:(cP x0)
% 58.32/58.58 Instantiate: Xy:=x0:fofType
% 58.32/58.58 Found x60 as proof of (cP Xy)
% 58.32/58.58 Found x50:(cP Xy1)
% 58.32/58.58 Instantiate: Xy:=Xy1:fofType
% 58.32/58.58 Found x50 as proof of (cP Xy)
% 58.32/58.58 Found x20:(cP Xy)
% 58.32/58.58 Instantiate: Xy1:=Xy:fofType
% 58.32/58.58 Found x20 as proof of (cP Xy1)
% 58.32/58.58 Found x30:=(x3 x40):(cP Xy0)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 58.32/58.58 Found x30:=(x3 x40):(cP Xy0)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x3 x40)) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 58.32/58.58 Found x50:=(x5 x40):(cP Xy1)
% 58.32/58.58 Found (x5 x40) as proof of (cP Xy)
% 58.32/58.58 Found (x5 x40) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x40)) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 58.32/58.58 Found x30:=(x3 x40):(cP Xy0)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found (x3 x40) as proof of (cP Xy)
% 58.32/58.58 Found x41:(cP Xy0)
% 58.32/58.58 Instantiate: Xy:=Xy0:fofType
% 58.32/58.58 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (cP Xy)
% 58.32/58.58 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 58.32/58.58 Found x30:(cP x0)
% 58.32/58.58 Found x30 as proof of (cP x0)
% 58.32/58.58 Found (x2 x30) as proof of (cP Xy1)
% 58.32/58.58 Found (x2 x30) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 58.32/58.58 Found x30:(cP x0)
% 58.32/58.58 Found x30 as proof of (cP x0)
% 58.32/58.58 Found (x4 x30) as proof of (cP Xy1)
% 58.32/58.58 Found (x4 x30) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 58.32/58.58 Found x50:(cP x0)
% 58.32/58.58 Found x50 as proof of (cP x0)
% 58.32/58.58 Found (x2 x50) as proof of (cP Xy1)
% 58.32/58.58 Found (x2 x50) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 58.32/58.58 Found x50:(cP x0)
% 58.32/58.58 Found x50 as proof of (cP x0)
% 58.32/58.58 Found (x4 x50) as proof of (cP Xy1)
% 58.32/58.58 Found (x4 x50) as proof of (cP Xy1)
% 58.32/58.58 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 58.42/58.67 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 58.42/58.67 Found x40:=(x4 x0):(cP x0)
% 58.42/58.67 Found (x4 x0) as proof of (cP x0)
% 58.42/58.67 Found (x4 x0) as proof of (cP x0)
% 58.42/58.67 Found x20:(cP Xy)
% 58.42/58.67 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 58.42/58.67 Found x40:=(x4 Xy):(cP Xy)
% 58.42/58.67 Found (x4 Xy) as proof of (cP Xy)
% 58.42/58.67 Found (x4 Xy) as proof of (cP Xy)
% 58.42/58.67 Found x4:(cP x3)
% 58.42/58.67 Instantiate: Xy0:=x3:fofType
% 58.42/58.67 Found x4 as proof of (cP Xy0)
% 58.42/58.67 Found (x6 x4) as proof of (cP x0)
% 58.42/58.67 Found (x6 x4) as proof of (cP x0)
% 58.42/58.67 Found (x7 (x6 x4)) as proof of (cP Xy)
% 58.42/58.67 Found (x7 (x6 x4)) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x7 (x6 x4))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x6 x4))) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 58.42/58.67 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x6 x4))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy)))
% 58.42/58.67 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x6 x4)))) as proof of (cP Xy)
% 58.42/58.67 Found ((and_rect1 (cP Xy)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x6 x4)))) as proof of (cP Xy)
% 58.42/58.67 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP Xy)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x6 x4)))) as proof of (cP Xy)
% 58.42/58.67 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 58.42/58.67 Found (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 58.42/58.67 Found (and_rect00 (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))) as proof of (cP Xy)
% 58.42/58.67 Found ((and_rect0 (cP Xy)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))) as proof of (cP Xy)
% 58.42/58.67 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) x10)) (cP Xy)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))) as proof of (cP Xy)
% 58.42/58.67 Found (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))))) as proof of ((cP x3)->(cP Xy))
% 58.42/58.67 Found (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 58.42/58.67 Found (ex_ind10 (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))))) as proof of (cP Xy)
% 58.42/58.67 Found ((ex_ind1 (cP Xy)) (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))))) as proof of (cP Xy)
% 58.42/58.67 Found (((fun (P:Prop) (x3:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x3) x2)) (cP Xy)) (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4)))))))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (Xy:fofType)=> (((fun (P:Prop) (x3:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x3) x2)) (cP Xy)) (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))))))) as proof of (cP Xy)
% 58.42/58.67 Found (fun (x2:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy:fofType)=> (((fun (P:Prop) (x3:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x3) x2)) (cP Xy)) (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))))))) as proof of (forall (Xy:fofType), (cP Xy))
% 59.49/59.74 Found (fun (x2:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy:fofType)=> (((fun (P:Prop) (x3:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x3) x2)) (cP Xy)) (fun (x3:fofType) (x4:(cP x3))=> (((fun (P:Type) (x5:(((cP x0)->(cP x3))->(((cP x3)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x3))) ((cP x3)->(cP x0))) P) x5) (x1 x3))) (cP Xy)) (fun (x5:((cP x0)->(cP x3))) (x6:((cP x3)->(cP x0)))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x7) (x1 Xy))) (cP Xy)) (fun (x7:((cP x0)->(cP Xy))) (x8:((cP Xy)->(cP x0)))=> (x7 (x6 x4))))))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))
% 59.49/59.74 Found x50:(cP Xy1)
% 59.49/59.74 Instantiate: Xy:=Xy1:fofType
% 59.49/59.74 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy)
% 59.49/59.74 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 59.49/59.74 Found x20:(cP Xy)
% 59.49/59.74 Instantiate: Xy:=Xy0:fofType
% 59.49/59.74 Found x20 as proof of (cP Xy0)
% 59.49/59.74 Found x20:(cP Xy)
% 59.49/59.74 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy)
% 59.49/59.74 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 59.49/59.74 Found x22:(cP Xy)
% 59.49/59.74 Instantiate: Xy:=x0:fofType
% 59.49/59.74 Found x22 as proof of (cP x0)
% 59.49/59.74 Found x20:(cP Xy)
% 59.49/59.74 Instantiate: Xy:=x0:fofType
% 59.49/59.74 Found x20 as proof of (cP x0)
% 59.49/59.74 Found x6:(cP x5)
% 59.49/59.74 Instantiate: Xy0:=x5:fofType
% 59.49/59.74 Found x6 as proof of (cP Xy0)
% 59.49/59.74 Found x40:=(x4 x50):(cP Xy0)
% 59.49/59.74 Instantiate: Xy0:=Xy1:fofType
% 59.49/59.74 Found (x4 x50) as proof of (cP Xy1)
% 59.49/59.74 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 59.49/59.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 59.49/59.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 59.49/59.74 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 59.49/59.74 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 59.49/59.74 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 59.49/59.74 Found x20:=(x2 x30):(cP Xy)
% 59.49/59.74 Instantiate: Xy:=Xy1:fofType
% 59.49/59.74 Found (x2 x30) as proof of (cP Xy1)
% 59.49/59.74 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 59.49/59.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 59.49/59.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 59.49/59.74 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 59.49/59.74 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 59.49/59.74 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 59.49/59.74 Found x30:(cP x0)
% 59.49/59.74 Instantiate: Xy:=x0:fofType
% 59.49/59.74 Found x30 as proof of (cP Xy)
% 59.49/59.74 Found x30:(cP x0)
% 59.49/59.74 Instantiate: Xy0:=x0:fofType
% 59.49/59.74 Found x30 as proof of (cP Xy0)
% 59.49/59.74 Found x50:(cP Xy00)
% 59.49/59.74 Instantiate: Xy00:=Xy:fofType
% 59.49/59.74 Found x50 as proof of (cP Xy)
% 59.49/59.74 Found x50:(cP x0)
% 59.49/59.74 Instantiate: Xy:=x0:fofType
% 59.49/59.74 Found x50 as proof of (cP Xy)
% 59.49/59.74 Found x30:(cP x0)
% 59.49/59.74 Instantiate: Xy0:=x0:fofType
% 59.49/59.74 Found x30 as proof of (cP Xy0)
% 59.49/59.74 Found x30:(cP x0)
% 59.49/59.74 Instantiate: Xy:=x0:fofType
% 59.49/59.74 Found x30 as proof of (cP Xy)
% 59.49/59.74 Found x30:(cP x0)
% 59.49/59.74 Instantiate: Xy0:=x0:fofType
% 59.49/59.74 Found x30 as proof of (cP Xy0)
% 59.49/59.74 Found x30:(cP Xy0)
% 59.49/59.74 Instantiate: Xy0:=Xy:fofType
% 59.49/59.74 Found x30 as proof of (cP Xy)
% 59.49/59.74 Found x50:=(x5 x30):(cP Xy1)
% 59.49/59.74 Found (x5 x30) as proof of (cP Xy0)
% 59.49/59.74 Found (x5 x30) as proof of (cP Xy0)
% 59.49/59.74 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 59.49/59.74 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 60.53/60.79 Found x20:=(x2 x30):(cP Xy)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 60.53/60.79 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 60.53/60.79 Found x40:=(x4 Xy):(cP Xy)
% 60.53/60.79 Found (x4 Xy) as proof of (cP Xy)
% 60.53/60.79 Found (x4 Xy) as proof of (cP Xy)
% 60.53/60.79 Found x30:(cP x0)
% 60.53/60.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 60.53/60.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 60.53/60.79 Found x40:=(x4 x0):(cP x0)
% 60.53/60.79 Found (x4 x0) as proof of (cP x0)
% 60.53/60.79 Found (x4 x0) as proof of (cP x0)
% 60.53/60.79 Found x40:(cP Xy0)
% 60.53/60.79 Instantiate: Xy:=Xy0:fofType
% 60.53/60.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (cP Xy)
% 60.53/60.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 60.53/60.79 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy:=x0:fofType
% 60.53/60.79 Found x20 as proof of (cP x0)
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy:=x0:fofType
% 60.53/60.79 Found x20 as proof of (cP x0)
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy0:=Xy:fofType
% 60.53/60.79 Found x20 as proof of (cP Xy0)
% 60.53/60.79 Found x20:=(x2 x30):(cP Xy)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy:=x0:fofType
% 60.53/60.79 Found x20 as proof of (cP x0)
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy0:=Xy:fofType
% 60.53/60.79 Found x20 as proof of (cP Xy0)
% 60.53/60.79 Found x50:=(x5 x30):(cP Xy1)
% 60.53/60.79 Found (x5 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x5 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x5 x30) as proof of (cP Xy0)
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy:=x0:fofType
% 60.53/60.79 Found x20 as proof of (cP x0)
% 60.53/60.79 Found x20:=(x2 x30):(cP Xy)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x2 x30) as proof of (cP Xy0)
% 60.53/60.79 Found x50:=(x5 x30):(cP Xy1)
% 60.53/60.79 Found (x5 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x5 x30) as proof of (cP Xy0)
% 60.53/60.79 Found (x5 x30) as proof of (cP Xy0)
% 60.53/60.79 Found x51:(cP Xy0)
% 60.53/60.79 Instantiate: Xy0:=Xy:fofType
% 60.53/60.79 Found (fun (x6:((cP Xy0)->(cP x3)))=> x51) as proof of (cP Xy)
% 60.53/60.79 Found (fun (x6:((cP Xy0)->(cP x3)))=> x51) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 60.53/60.79 Found x20:=(x2 x50):(cP Xy)
% 60.53/60.79 Instantiate: Xy:=Xy1:fofType
% 60.53/60.79 Found (x2 x50) as proof of (cP Xy1)
% 60.53/60.79 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 60.53/60.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 60.53/60.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 60.53/60.79 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x50))) as proof of (cP Xy1)
% 60.53/60.79 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x50))) as proof of (cP Xy1)
% 60.53/60.79 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x50))) as proof of (cP Xy1)
% 60.53/60.79 Found x40:=(x4 x30):(cP Xy0)
% 60.53/60.79 Instantiate: Xy0:=Xy1:fofType
% 60.53/60.79 Found (x4 x30) as proof of (cP Xy1)
% 60.53/60.79 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 60.53/60.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 60.53/60.79 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 60.53/60.79 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 60.53/60.79 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 60.53/60.79 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 60.53/60.79 Found x51:(cP Xy0)
% 60.53/60.79 Instantiate: Xy0:=Xy:fofType
% 60.53/60.79 Found (fun (x6:((cP Xy0)->(cP x1)))=> x51) as proof of (cP Xy)
% 60.53/60.79 Found (fun (x6:((cP Xy0)->(cP x1)))=> x51) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 60.53/60.79 Found x30:(cP x0)
% 60.53/60.79 Instantiate: Xy:=x0:fofType
% 60.53/60.79 Found x30 as proof of (cP Xy)
% 60.53/60.79 Found x30:(cP x0)
% 60.53/60.79 Instantiate: Xy0:=x0:fofType
% 60.53/60.79 Found x30 as proof of (cP Xy0)
% 60.53/60.79 Found x20:(cP Xy)
% 60.53/60.79 Instantiate: Xy0:=Xy:fofType
% 60.53/60.79 Found x20 as proof of (cP Xy0)
% 62.06/62.29 Found x50:(cP x0)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x50 as proof of (cP Xy)
% 62.06/62.29 Found x20:(cP Xy)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x20 as proof of (cP x0)
% 62.06/62.29 Found x20:(cP Xy)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x20 as proof of (cP x0)
% 62.06/62.29 Found x40:(cP Xy0)
% 62.06/62.29 Instantiate: Xy:=Xy0:fofType
% 62.06/62.29 Found x40 as proof of (cP Xy)
% 62.06/62.29 Found x8:(cP x7)
% 62.06/62.29 Instantiate: Xy0:=x7:fofType
% 62.06/62.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 62.06/62.29 Found x20:(cP Xy)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x20 as proof of (cP x0)
% 62.06/62.29 Found x20:(cP Xy)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x20 as proof of (cP x0)
% 62.06/62.29 Found x8:(cP x7)
% 62.06/62.29 Instantiate: Xy:=x7:fofType
% 62.06/62.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 62.06/62.29 Found x8:(cP x7)
% 62.06/62.29 Instantiate: Xy1:=x7:fofType
% 62.06/62.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 62.06/62.29 Found x8:(cP x7)
% 62.06/62.29 Instantiate: Xy:=x7:fofType
% 62.06/62.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 62.06/62.29 Found x8:(cP x7)
% 62.06/62.29 Instantiate: Xy1:=x7:fofType
% 62.06/62.29 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 62.06/62.29 Found x40:(cP x1)
% 62.06/62.29 Instantiate: Xy0:=x1:fofType
% 62.06/62.29 Found x40 as proof of (cP Xy0)
% 62.06/62.29 Found x50:(cP x0)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x50 as proof of (cP Xy)
% 62.06/62.29 Found x30:(cP Xy0)
% 62.06/62.29 Instantiate: Xy0:=x1:fofType
% 62.06/62.29 Found x30 as proof of (cP x1)
% 62.06/62.29 Found x30:(cP x0)
% 62.06/62.29 Found x30 as proof of (cP x0)
% 62.06/62.29 Found (x4 x30) as proof of (cP Xy1)
% 62.06/62.29 Found (x4 x30) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 62.06/62.29 Found x50:(cP x0)
% 62.06/62.29 Found x50 as proof of (cP x0)
% 62.06/62.29 Found (x2 x50) as proof of (cP Xy1)
% 62.06/62.29 Found (x2 x50) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 62.06/62.29 Found x30:(cP x0)
% 62.06/62.29 Found x30 as proof of (cP x0)
% 62.06/62.29 Found (x2 x30) as proof of (cP Xy1)
% 62.06/62.29 Found (x2 x30) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 62.06/62.29 Found x50:(cP x0)
% 62.06/62.29 Found x50 as proof of (cP x0)
% 62.06/62.29 Found (x4 x50) as proof of (cP Xy1)
% 62.06/62.29 Found (x4 x50) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 62.06/62.29 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 62.06/62.29 Found x22:(cP Xy)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x22 as proof of (cP x0)
% 62.06/62.29 Found x20:(cP Xy)
% 62.06/62.29 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy)
% 62.06/62.29 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy))
% 62.06/62.29 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy)))
% 62.06/62.29 Found x60:=(x6 x7):(cP x7)
% 62.06/62.29 Found (x6 x7) as proof of (cP x7)
% 62.06/62.29 Found (x6 x7) as proof of (cP x7)
% 62.06/62.29 Found (ex_intro000 (x6 x7)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 62.06/62.29 Found x50:(cP Xy00)
% 62.06/62.29 Instantiate: Xy00:=Xy:fofType
% 62.06/62.29 Found (fun (x6:((cP Xy00)->(cP x1)))=> x50) as proof of (cP Xy)
% 62.06/62.29 Found (fun (x6:((cP Xy00)->(cP x1)))=> x50) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 62.06/62.29 Found x30:(cP x0)
% 62.06/62.29 Instantiate: Xy1:=x0:fofType
% 62.06/62.29 Found x30 as proof of (cP Xy1)
% 62.06/62.29 Found x30:(cP x0)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x30 as proof of (cP Xy)
% 62.06/62.29 Found x60:(cP x0)
% 62.06/62.29 Instantiate: Xy1:=x0:fofType
% 62.06/62.29 Found x60 as proof of (cP Xy1)
% 62.06/62.29 Found x60:(cP x0)
% 62.06/62.29 Instantiate: Xy:=x0:fofType
% 62.06/62.29 Found x60 as proof of (cP Xy)
% 62.06/62.29 Found x30:(cP Xy0)
% 62.06/62.29 Instantiate: Xy0:=Xy:fofType
% 62.06/62.29 Found (fun (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (cP Xy)
% 62.06/62.29 Found (fun (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 62.06/62.29 Found x50:(cP Xy1)
% 62.06/62.29 Instantiate: Xy1:=x0:fofType
% 62.06/62.29 Found x50 as proof of (cP x0)
% 62.06/62.29 Found x50:(cP Xy1)
% 62.06/62.29 Instantiate: Xy:=Xy1:fofType
% 62.06/62.29 Found x50 as proof of (cP Xy)
% 62.06/62.29 Found x20:(cP Xy)
% 62.06/62.29 Instantiate: Xy1:=Xy:fofType
% 63.00/63.25 Found x20 as proof of (cP Xy1)
% 63.00/63.25 Found x20:(cP Xy)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x20 as proof of (cP x0)
% 63.00/63.25 Found x50:(cP Xy1)
% 63.00/63.25 Instantiate: Xy1:=x0:fofType
% 63.00/63.25 Found x50 as proof of (cP x0)
% 63.00/63.25 Found x20:(cP Xy)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x20 as proof of (cP x0)
% 63.00/63.25 Found x6:(cP x5)
% 63.00/63.25 Instantiate: Xy0:=x5:fofType
% 63.00/63.25 Found x6 as proof of (cP Xy0)
% 63.00/63.25 Found x31:(cP Xy0)
% 63.00/63.25 Instantiate: Xy0:=Xy:fofType
% 63.00/63.25 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 63.00/63.25 Found (fun (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x30 as proof of (cP Xy)
% 63.00/63.25 Found x20:(cP Xy)
% 63.00/63.25 Instantiate: Xy1:=Xy:fofType
% 63.00/63.25 Found x20 as proof of (cP Xy1)
% 63.00/63.25 Found x50:(cP Xy1)
% 63.00/63.25 Instantiate: Xy:=Xy1:fofType
% 63.00/63.25 Found x50 as proof of (cP Xy)
% 63.00/63.25 Found x20:(cP Xy)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x20 as proof of (cP x0)
% 63.00/63.25 Found x60:(cP x0)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x60 as proof of (cP Xy)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Instantiate: Xy1:=x0:fofType
% 63.00/63.25 Found x30 as proof of (cP Xy1)
% 63.00/63.25 Found x20:(cP Xy)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x20 as proof of (cP x0)
% 63.00/63.25 Found x50:=(x5 x30):(cP Xy1)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 63.00/63.25 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 63.00/63.25 Found x20:=(x2 x30):(cP Xy)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 63.00/63.25 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 63.00/63.25 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 63.00/63.25 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 63.00/63.25 Found x20:(cP Xy)
% 63.00/63.25 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 63.00/63.25 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 63.00/63.25 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 63.00/63.25 Found x21:(cP Xy)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x21 as proof of (cP x0)
% 63.00/63.25 Found x31:(cP x0)
% 63.00/63.25 Instantiate: Xy:=x0:fofType
% 63.00/63.25 Found x31 as proof of (cP Xy)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found x30 as proof of (cP x0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found x30 as proof of (cP x0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found x30 as proof of (cP x0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found x61:(cP x0)
% 63.00/63.25 Found x61 as proof of (cP x0)
% 63.00/63.25 Found (x5 x61) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x61) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x61) as proof of (cP Xy0)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found x30 as proof of (cP x0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found x30 as proof of (cP x0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x5 x30) as proof of (cP Xy0)
% 63.00/63.25 Found x60:(cP x3)
% 63.00/63.25 Instantiate: Xy0:=x3:fofType
% 63.00/63.25 Found x60 as proof of (cP Xy0)
% 63.00/63.25 Found x61:(cP x0)
% 63.00/63.25 Found x61 as proof of (cP x0)
% 63.00/63.25 Found (x2 x61) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x61) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x61) as proof of (cP Xy0)
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found x30 as proof of (cP x0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found (x2 x30) as proof of (cP Xy0)
% 63.00/63.25 Found x60:(cP x1)
% 63.00/63.25 Instantiate: Xy0:=x1:fofType
% 63.00/63.25 Found x60 as proof of (cP Xy0)
% 63.00/63.25 Found x40:(cP Xy0)
% 63.00/63.25 Instantiate: Xy:=Xy0:fofType
% 63.00/63.25 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (cP Xy)
% 63.00/63.25 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 63.00/63.25 Found x30:(cP x0)
% 63.00/63.25 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 63.00/63.25 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x20 as proof of (cP x0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x20 as proof of (cP x0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy0:=Xy:fofType
% 64.68/64.90 Found x20 as proof of (cP Xy0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 64.68/64.90 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=Xy0:fofType
% 64.68/64.90 Found x20 as proof of (cP Xy0)
% 64.68/64.90 Found x50:(cP x0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x50 as proof of (cP Xy0)
% 64.68/64.90 Found x50:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x50 as proof of (cP Xy)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy0)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy)
% 64.68/64.90 Found x21:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=Xy1:fofType
% 64.68/64.90 Found x21 as proof of (cP Xy1)
% 64.68/64.90 Found x40:(cP Xy0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x40 as proof of (cP x0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy0:=Xy:fofType
% 64.68/64.90 Found x20 as proof of (cP Xy0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x20 as proof of (cP x0)
% 64.68/64.90 Found x41:(cP Xy0)
% 64.68/64.90 Instantiate: Xy0:=Xy1:fofType
% 64.68/64.90 Found x41 as proof of (cP Xy1)
% 64.68/64.90 Found x40:(cP Xy0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x40 as proof of (cP x0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x20 as proof of (cP x0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=Xy1:fofType
% 64.68/64.90 Found x20 as proof of (cP Xy1)
% 64.68/64.90 Found x40:(cP Xy0)
% 64.68/64.90 Instantiate: Xy:=Xy0:fofType
% 64.68/64.90 Found x40 as proof of (cP Xy)
% 64.68/64.90 Found x40:(cP Xy0)
% 64.68/64.90 Instantiate: Xy0:=Xy1:fofType
% 64.68/64.90 Found x40 as proof of (cP Xy1)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy)
% 64.68/64.90 Found x60:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x60 as proof of (cP Xy)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy0)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=Xy0:fofType
% 64.68/64.90 Found x20 as proof of (cP Xy0)
% 64.68/64.90 Found x50:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x50 as proof of (cP Xy)
% 64.68/64.90 Found x50:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x50 as proof of (cP Xy)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy0)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy0:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy0)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x20 as proof of (cP x0)
% 64.68/64.90 Found x40:(cP Xy0)
% 64.68/64.90 Instantiate: Xy:=Xy0:fofType
% 64.68/64.90 Found x40 as proof of (cP Xy)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy0:=Xy:fofType
% 64.68/64.90 Found x20 as proof of (cP Xy0)
% 64.68/64.90 Found x50:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x50 as proof of (cP Xy)
% 64.68/64.90 Found x20:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x20 as proof of (cP x0)
% 64.68/64.90 Found x22:(cP Xy)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x22 as proof of (cP x0)
% 64.68/64.90 Found x8:(cP x7)
% 64.68/64.90 Instantiate: Xy:=x7:fofType
% 64.68/64.90 Found x8 as proof of (cP Xy)
% 64.68/64.90 Found (x3 x8) as proof of (cP x0)
% 64.68/64.90 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 64.68/64.90 Found x8:(cP x7)
% 64.68/64.90 Instantiate: Xy0:=x7:fofType
% 64.68/64.90 Found x8 as proof of (cP Xy0)
% 64.68/64.90 Found (x5 x8) as proof of (cP x0)
% 64.68/64.90 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 64.68/64.90 Found x8:(cP x7)
% 64.68/64.90 Instantiate: Xy:=x7:fofType
% 64.68/64.90 Found x8 as proof of (cP Xy)
% 64.68/64.90 Found (x3 x8) as proof of (cP x0)
% 64.68/64.90 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 64.68/64.90 Found x8:(cP x7)
% 64.68/64.90 Instantiate: Xy0:=x7:fofType
% 64.68/64.90 Found x8 as proof of (cP Xy0)
% 64.68/64.90 Found (x5 x8) as proof of (cP x0)
% 64.68/64.90 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 64.68/64.90 Found x30:(cP Xy0)
% 64.68/64.90 Instantiate: Xy0:=Xy:fofType
% 64.68/64.90 Found (fun (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (cP Xy)
% 64.68/64.90 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 64.68/64.90 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy)
% 64.68/64.90 Found x60:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x60 as proof of (cP Xy)
% 64.68/64.90 Found x30:(cP x0)
% 64.68/64.90 Instantiate: Xy:=x0:fofType
% 64.68/64.90 Found x30 as proof of (cP Xy)
% 64.68/64.90 Found x60:(cP x0)
% 64.68/64.90 Instantiate: Xy1:=x0:fofType
% 64.68/64.90 Found x60 as proof of (cP Xy1)
% 65.68/65.90 Found x40:(cP x1)
% 65.68/65.90 Instantiate: Xy0:=x1:fofType
% 65.68/65.90 Found x40 as proof of (cP Xy0)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Instantiate: Xy1:=x0:fofType
% 65.68/65.90 Found x30 as proof of (cP Xy1)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Instantiate: Xy0:=x0:fofType
% 65.68/65.90 Found x30 as proof of (cP Xy0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x50:(cP Xy1)
% 65.68/65.90 Instantiate: Xy1:=x0:fofType
% 65.68/65.90 Found x50 as proof of (cP x0)
% 65.68/65.90 Found x50:(cP Xy1)
% 65.68/65.90 Instantiate: Xy:=Xy1:fofType
% 65.68/65.90 Found x50 as proof of (cP Xy)
% 65.68/65.90 Found x50:(cP Xy1)
% 65.68/65.90 Instantiate: Xy1:=x0:fofType
% 65.68/65.90 Found x50 as proof of (cP x0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy1:=Xy:fofType
% 65.68/65.90 Found x20 as proof of (cP Xy1)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x31:(cP Xy0)
% 65.68/65.90 Instantiate: Xy0:=Xy:fofType
% 65.68/65.90 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 65.68/65.90 Found (fun (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy0:=Xy:fofType
% 65.68/65.90 Found x20 as proof of (cP Xy0)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Found x30 as proof of (cP x0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Found x30 as proof of (cP x0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found x20:=(x2 x30):(cP Xy)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 65.68/65.90 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 65.68/65.90 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=Xy0:fofType
% 65.68/65.90 Found x20 as proof of (cP Xy0)
% 65.68/65.90 Found x50:=(x5 x30):(cP Xy1)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 65.68/65.90 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 65.68/65.90 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Found x30 as proof of (cP x0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy0)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Found x30 as proof of (cP x0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found (x5 x30) as proof of (cP Xy0)
% 65.68/65.90 Found x31:(cP x0)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x31 as proof of (cP Xy)
% 65.68/65.90 Found x40:(cP Xy0)
% 65.68/65.90 Instantiate: Xy0:=x0:fofType
% 65.68/65.90 Found x40 as proof of (cP x0)
% 65.68/65.90 Found x21:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x21 as proof of (cP x0)
% 65.68/65.90 Found x21:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x21 as proof of (cP x0)
% 65.68/65.90 Found x40:(cP Xy0)
% 65.68/65.90 Instantiate: Xy0:=x0:fofType
% 65.68/65.90 Found x40 as proof of (cP x0)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x30 as proof of (cP Xy)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x30:(cP x0)
% 65.68/65.90 Found x30 as proof of (cP x0)
% 65.68/65.90 Found x20:(cP Xy)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x20 as proof of (cP x0)
% 65.68/65.90 Found x60:(cP x0)
% 65.68/65.90 Instantiate: Xy:=x0:fofType
% 65.68/65.90 Found x60 as proof of (cP Xy)
% 65.68/65.90 Found x41:(cP Xy0)
% 65.68/65.90 Instantiate: Xy:=Xy0:fofType
% 65.68/65.90 Found x41 as proof of (cP Xy)
% 65.68/65.90 Found x41:(cP Xy0)
% 65.68/65.90 Instantiate: Xy0:=x0:fofType
% 65.68/65.90 Found x41 as proof of (cP x0)
% 65.68/65.90 Found x41:(cP Xy0)
% 65.68/65.90 Instantiate: Xy0:=x0:fofType
% 65.68/65.90 Found x41 as proof of (cP x0)
% 65.68/65.90 Found x20:=(x2 x30):(cP Xy)
% 65.68/65.90 Instantiate: Xy:=Xy1:fofType
% 65.68/65.90 Found (x2 x30) as proof of (cP Xy1)
% 65.68/65.90 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 65.68/65.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 65.68/65.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 67.00/67.27 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 67.00/67.27 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 67.00/67.27 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 67.00/67.27 Found x40:=(x4 x50):(cP Xy0)
% 67.00/67.27 Instantiate: Xy0:=Xy1:fofType
% 67.00/67.27 Found (x4 x50) as proof of (cP Xy1)
% 67.00/67.27 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 67.00/67.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 67.00/67.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 67.00/67.27 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 67.00/67.27 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 67.00/67.27 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x50))) as proof of (cP Xy1)
% 67.00/67.27 Found x20:(cP Xy)
% 67.00/67.27 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 67.00/67.27 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 67.00/67.27 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 67.00/67.27 Found x30:(cP x0)
% 67.00/67.27 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 67.00/67.27 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 67.00/67.27 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 67.00/67.27 Found x30:(cP x0)
% 67.00/67.27 Instantiate: Xy0:=x0:fofType
% 67.00/67.27 Found x30 as proof of (cP Xy0)
% 67.00/67.27 Found x30:(cP x0)
% 67.00/67.27 Instantiate: Xy:=x0:fofType
% 67.00/67.27 Found x30 as proof of (cP Xy)
% 67.00/67.27 Found x8:(cP x7)
% 67.00/67.27 Instantiate: Xy0:=x7:fofType
% 67.00/67.27 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 67.00/67.27 Found x8:(cP x7)
% 67.00/67.27 Instantiate: Xy:=x7:fofType
% 67.00/67.27 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 67.00/67.27 Found x8:(cP x7)
% 67.00/67.27 Instantiate: Xy0:=x7:fofType
% 67.00/67.27 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 67.00/67.27 Found x8:(cP x7)
% 67.00/67.27 Instantiate: Xy:=x7:fofType
% 67.00/67.27 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 67.00/67.27 Found x60:(cP x0)
% 67.00/67.27 Instantiate: Xy:=x0:fofType
% 67.00/67.27 Found x60 as proof of (cP Xy)
% 67.00/67.27 Found x30:(cP x0)
% 67.00/67.27 Instantiate: Xy:=x0:fofType
% 67.00/67.27 Found x30 as proof of (cP Xy)
% 67.00/67.27 Found x30:(cP x0)
% 67.00/67.27 Instantiate: Xy1:=x0:fofType
% 67.00/67.27 Found x30 as proof of (cP Xy1)
% 67.00/67.27 Found x60:(cP x0)
% 67.00/67.27 Instantiate: Xy1:=x0:fofType
% 67.00/67.27 Found x60 as proof of (cP Xy1)
% 67.00/67.27 Found x22:(cP Xy)
% 67.00/67.27 Instantiate: Xy:=x0:fofType
% 67.00/67.27 Found x22 as proof of (cP x0)
% 67.00/67.27 Found x8:(cP x7)
% 67.00/67.27 Instantiate: Xy1:=x7:fofType
% 67.00/67.27 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 67.00/67.27 Found x40:(cP Xy0)
% 67.00/67.27 Instantiate: Xy0:=Xy1:fofType
% 67.00/67.27 Found x40 as proof of (cP Xy1)
% 67.00/67.27 Found x21:(cP Xy)
% 67.00/67.27 Instantiate: Xy:=Xy1:fofType
% 67.00/67.27 Found x21 as proof of (cP Xy1)
% 67.00/67.27 Found x20:(cP Xy)
% 67.00/67.27 Instantiate: Xy:=x0:fofType
% 67.00/67.27 Found x20 as proof of (cP x0)
% 67.00/67.27 Found x20:(cP Xy)
% 67.00/67.27 Instantiate: Xy0:=Xy:fofType
% 67.00/67.27 Found x20 as proof of (cP Xy0)
% 67.00/67.28 Found x20:(cP Xy)
% 67.00/67.28 Instantiate: Xy:=x0:fofType
% 67.00/67.28 Found x20 as proof of (cP x0)
% 67.00/67.28 Found x40:(cP Xy0)
% 67.00/67.28 Instantiate: Xy0:=x0:fofType
% 67.00/67.28 Found x40 as proof of (cP x0)
% 67.00/67.28 Found x40:=(x4 x30):(cP Xy0)
% 67.00/67.28 Instantiate: Xy0:=Xy1:fofType
% 67.00/67.28 Found (x4 x30) as proof of (cP Xy1)
% 67.00/67.28 Found (x4 x30) as proof of (cP Xy1)
% 67.00/67.28 Found x20:=(x2 x50):(cP Xy)
% 67.00/67.28 Instantiate: Xy:=Xy1:fofType
% 67.00/67.28 Found (x2 x50) as proof of (cP Xy1)
% 67.00/67.28 Found (x2 x50) as proof of (cP Xy1)
% 67.00/67.28 Found x40:=(x4 x50):(cP Xy0)
% 67.00/67.28 Instantiate: Xy0:=Xy1:fofType
% 67.00/67.28 Found (x4 x50) as proof of (cP Xy1)
% 67.00/67.28 Found (x4 x50) as proof of (cP Xy1)
% 67.00/67.28 Found x41:(cP Xy0)
% 67.00/67.28 Instantiate: Xy0:=Xy1:fofType
% 67.00/67.28 Found x41 as proof of (cP Xy1)
% 67.00/67.28 Found x40:(cP Xy0)
% 67.00/67.28 Instantiate: Xy0:=x0:fofType
% 67.00/67.28 Found x40 as proof of (cP x0)
% 67.00/67.28 Found x40:=(x4 x31):(cP Xy0)
% 67.00/67.28 Instantiate: Xy0:=Xy1:fofType
% 67.00/67.28 Found (x4 x31) as proof of (cP Xy1)
% 67.00/67.28 Found (x4 x31) as proof of (cP Xy1)
% 67.00/67.28 Found x20:=(x2 x51):(cP Xy)
% 67.00/67.28 Instantiate: Xy:=Xy1:fofType
% 67.00/67.28 Found (x2 x51) as proof of (cP Xy1)
% 67.00/67.28 Found (x2 x51) as proof of (cP Xy1)
% 67.00/67.28 Found x20:=(x2 x31):(cP Xy)
% 67.00/67.28 Instantiate: Xy:=Xy1:fofType
% 67.00/67.28 Found (x2 x31) as proof of (cP Xy1)
% 67.08/67.31 Found (x2 x31) as proof of (cP Xy1)
% 67.08/67.31 Found x20:(cP Xy)
% 67.08/67.31 Instantiate: Xy:=Xy1:fofType
% 67.08/67.31 Found x20 as proof of (cP Xy1)
% 67.08/67.31 Found x40:=(x4 x51):(cP Xy0)
% 67.08/67.31 Instantiate: Xy0:=Xy1:fofType
% 67.08/67.31 Found (x4 x51) as proof of (cP Xy1)
% 67.08/67.31 Found (x4 x51) as proof of (cP Xy1)
% 67.08/67.31 Found x20:=(x2 x30):(cP Xy)
% 67.08/67.31 Instantiate: Xy:=Xy1:fofType
% 67.08/67.31 Found (x2 x30) as proof of (cP Xy1)
% 67.08/67.31 Found (x2 x30) as proof of (cP Xy1)
% 67.08/67.31 Found x40:(cP Xy0)
% 67.08/67.31 Instantiate: Xy:=Xy0:fofType
% 67.08/67.31 Found x40 as proof of (cP Xy)
% 67.08/67.31 Found x6:(cP x5)
% 67.08/67.31 Instantiate: Xy0:=x5:fofType
% 67.08/67.31 Found x6 as proof of (cP Xy0)
% 67.08/67.31 Found (x8 x6) as proof of (cP x0)
% 67.08/67.31 Found (fun (x8:((cP Xy0)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 67.08/67.31 Found (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 67.08/67.31 Found (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 67.08/67.31 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 67.08/67.31 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 67.08/67.31 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 67.08/67.31 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 67.08/67.31 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 67.08/67.31 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 67.08/67.31 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 67.08/67.31 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 67.08/67.31 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 67.08/67.31 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 67.08/67.31 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 67.08/67.31 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy)
% 67.30/67.56 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy)
% 67.30/67.56 Found x32:(cP x0)
% 67.30/67.56 Instantiate: Xy:=x0:fofType
% 67.30/67.56 Found x32 as proof of (cP Xy)
% 67.30/67.56 Found x32:(cP x0)
% 67.30/67.56 Instantiate: Xy:=x0:fofType
% 67.30/67.56 Found x32 as proof of (cP Xy)
% 67.30/67.56 Found x32:(cP x0)
% 67.30/67.56 Instantiate: Xy:=x0:fofType
% 67.30/67.56 Found x32 as proof of (cP Xy)
% 67.30/67.56 Found x50:=(x5 x30):(cP Xy1)
% 67.30/67.56 Instantiate: Xy1:=Xy0:fofType
% 67.30/67.56 Found (x5 x30) as proof of (cP Xy0)
% 67.30/67.56 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 67.30/67.56 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 67.30/67.56 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 67.30/67.56 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found x32:(cP x0)
% 67.30/67.56 Instantiate: Xy:=x0:fofType
% 67.30/67.56 Found x32 as proof of (cP Xy)
% 67.30/67.56 Found x50:=(x5 x30):(cP Xy1)
% 67.30/67.56 Instantiate: Xy1:=Xy0:fofType
% 67.30/67.56 Found (x5 x30) as proof of (cP Xy0)
% 67.30/67.56 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 67.30/67.56 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 67.30/67.56 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 67.30/67.56 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 67.30/67.56 Found (fun (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (cP Xy0)
% 67.30/67.56 Found (fun (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30)))) as proof of (forall (Xy:fofType), (cP Xy))
% 67.30/67.56 Found x40:(cP Xy0)
% 67.30/67.56 Instantiate: Xy:=Xy0:fofType
% 67.30/67.56 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (cP Xy)
% 67.30/67.56 Found (fun (x5:((cP Xy0)->(cP x0)))=> x40) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 68.71/68.93 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found x20 as proof of (cP Xy0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 68.71/68.93 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found x20 as proof of (cP Xy0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found x20 as proof of (cP Xy0)
% 68.71/68.93 Found x6:(cP x5)
% 68.71/68.93 Instantiate: Xy0:=x5:fofType
% 68.71/68.93 Found x6 as proof of (cP Xy0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found x20 as proof of (cP Xy0)
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found x30 as proof of (cP x0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 68.71/68.93 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x20 as proof of (cP x0)
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found x30 as proof of (cP x0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 68.71/68.93 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 68.71/68.93 Found x31:(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 68.71/68.93 Found (fun (x5:fofType) (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 68.71/68.93 Found (fun (x5:fofType) (x6:(cP x5))=> x31) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found x30 as proof of (cP x0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found x30 as proof of (cP x0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found x30 as proof of (cP x0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x5 x30) as proof of (cP Xy0)
% 68.71/68.93 Found x30:(cP x0)
% 68.71/68.93 Found x30 as proof of (cP x0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found (x2 x30) as proof of (cP Xy0)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=Xy1:fofType
% 68.71/68.93 Found x20 as proof of (cP Xy1)
% 68.71/68.93 Found x20 as proof of (cP Xy1)
% 68.71/68.93 Found x20:(cP Xy)
% 68.71/68.93 Found x20 as proof of (cP Xy1)
% 68.71/68.93 Found x20 as proof of (cP Xy1)
% 68.71/68.93 Found x40:(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=Xy1:fofType
% 68.71/68.93 Found x40 as proof of (cP Xy1)
% 68.71/68.93 Found x40 as proof of (cP Xy1)
% 68.71/68.93 Found x40:(cP Xy0)
% 68.71/68.93 Found x40 as proof of (cP Xy1)
% 68.71/68.93 Found x40 as proof of (cP Xy1)
% 68.71/68.93 Found x31:(cP x0)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x31 as proof of (cP Xy)
% 68.71/68.93 Found x50:=(x5 x61):(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found (x5 x61) as proof of (cP Xy)
% 68.71/68.93 Found (x5 x61) as proof of (cP Xy)
% 68.71/68.93 Found x21:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x21 as proof of (cP x0)
% 68.71/68.93 Found x51:(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found (fun (x6:((cP Xy0)->(cP x3)))=> x51) as proof of (cP Xy)
% 68.71/68.93 Found (fun (x6:((cP Xy0)->(cP x3)))=> x51) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 68.71/68.93 Found x50:=(x5 x61):(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=Xy:fofType
% 68.71/68.93 Found (x5 x61) as proof of (cP Xy)
% 68.71/68.93 Found (x5 x61) as proof of (cP Xy)
% 68.71/68.93 Found x40:(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=x0:fofType
% 68.71/68.93 Found x40 as proof of (cP x0)
% 68.71/68.93 Found x40:(cP Xy0)
% 68.71/68.93 Instantiate: Xy0:=x0:fofType
% 68.71/68.93 Found x40 as proof of (cP x0)
% 68.71/68.93 Found x21:(cP Xy)
% 68.71/68.93 Instantiate: Xy:=x0:fofType
% 68.71/68.93 Found x21 as proof of (cP x0)
% 68.71/68.93 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy)
% 69.99/70.25 Found x40:=(x4 x30):(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=Xy1:fofType
% 69.99/70.25 Found (x4 x30) as proof of (cP Xy1)
% 69.99/70.25 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 69.99/70.25 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 69.99/70.25 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 69.99/70.25 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 69.99/70.25 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 69.99/70.25 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy0)
% 69.99/70.25 Found x51:(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=Xy:fofType
% 69.99/70.25 Found (fun (x6:((cP Xy0)->(cP x1)))=> x51) as proof of (cP Xy)
% 69.99/70.25 Found (fun (x6:((cP Xy0)->(cP x1)))=> x51) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 69.99/70.25 Found x8:(cP x7)
% 69.99/70.25 Instantiate: Xy:=x7:fofType
% 69.99/70.25 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 69.99/70.25 Found x50:(cP Xy00)
% 69.99/70.25 Instantiate: Xy00:=Xy:fofType
% 69.99/70.25 Found x50 as proof of (cP Xy)
% 69.99/70.25 Found x30:(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=Xy:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy)
% 69.99/70.25 Found x8:(cP x7)
% 69.99/70.25 Instantiate: Xy0:=x7:fofType
% 69.99/70.25 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 69.99/70.25 Found x20:(cP Xy)
% 69.99/70.25 Instantiate: Xy0:=Xy:fofType
% 69.99/70.25 Found x20 as proof of (cP Xy0)
% 69.99/70.25 Found x20:(cP Xy)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x20 as proof of (cP x0)
% 69.99/70.25 Found x20:(cP Xy)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x20 as proof of (cP x0)
% 69.99/70.25 Found x50:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x50 as proof of (cP Xy)
% 69.99/70.25 Found x50:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x50 as proof of (cP Xy0)
% 69.99/70.25 Found x51:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x51 as proof of (cP Xy0)
% 69.99/70.25 Found x51:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x51 as proof of (cP Xy)
% 69.99/70.25 Found x31:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x31 as proof of (cP Xy0)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy0)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy)
% 69.99/70.25 Found x31:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x31 as proof of (cP Xy)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy0)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy0)
% 69.99/70.25 Found x50:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x50 as proof of (cP Xy)
% 69.99/70.25 Found x40:(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x40 as proof of (cP x0)
% 69.99/70.25 Found x20:(cP Xy)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x20 as proof of (cP x0)
% 69.99/70.25 Found x40:(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x40 as proof of (cP x0)
% 69.99/70.25 Found x20:(cP Xy)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x20 as proof of (cP x0)
% 69.99/70.25 Found x8:(cP x7)
% 69.99/70.25 Instantiate: Xy:=x7:fofType
% 69.99/70.25 Found x8 as proof of (cP Xy)
% 69.99/70.25 Found x21:(cP Xy)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x21 as proof of (cP x0)
% 69.99/70.25 Found x21:(cP Xy)
% 69.99/70.25 Instantiate: Xy0:=Xy:fofType
% 69.99/70.25 Found x21 as proof of (cP Xy0)
% 69.99/70.25 Found x50:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x50 as proof of (cP Xy0)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy)
% 69.99/70.25 Found x30:(cP x0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x30 as proof of (cP Xy0)
% 69.99/70.25 Found x50:(cP x0)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x50 as proof of (cP Xy)
% 69.99/70.25 Found x41:(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x41 as proof of (cP x0)
% 69.99/70.25 Found x21:(cP Xy)
% 69.99/70.25 Instantiate: Xy:=x0:fofType
% 69.99/70.25 Found x21 as proof of (cP x0)
% 69.99/70.25 Found x41:(cP Xy0)
% 69.99/70.25 Instantiate: Xy:=Xy0:fofType
% 69.99/70.25 Found x41 as proof of (cP Xy)
% 69.99/70.25 Found x41:(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=x0:fofType
% 69.99/70.25 Found x41 as proof of (cP x0)
% 69.99/70.25 Found x50:(cP x0)
% 69.99/70.25 Found x50 as proof of (cP x0)
% 69.99/70.25 Found x20:(cP Xy)
% 69.99/70.25 Instantiate: Xy0:=Xy:fofType
% 69.99/70.25 Found x20 as proof of (cP Xy0)
% 69.99/70.25 Found x20:=(x2 x31):(cP Xy)
% 69.99/70.25 Instantiate: Xy:=Xy1:fofType
% 69.99/70.25 Found (x2 x31) as proof of (cP Xy1)
% 69.99/70.25 Found (x2 x31) as proof of (cP Xy1)
% 69.99/70.25 Found x40:=(x4 x31):(cP Xy0)
% 69.99/70.25 Instantiate: Xy0:=Xy1:fofType
% 69.99/70.25 Found (x4 x31) as proof of (cP Xy1)
% 69.99/70.25 Found (x4 x31) as proof of (cP Xy1)
% 69.99/70.25 Found x20:=(x2 x30):(cP Xy)
% 71.31/71.55 Instantiate: Xy:=Xy1:fofType
% 71.31/71.55 Found (x2 x30) as proof of (cP Xy1)
% 71.31/71.55 Found (x2 x30) as proof of (cP Xy1)
% 71.31/71.55 Found x40:=(x4 x30):(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy1:fofType
% 71.31/71.55 Found (x4 x30) as proof of (cP Xy1)
% 71.31/71.55 Found (x4 x30) as proof of (cP Xy1)
% 71.31/71.55 Found x20:=(x2 x50):(cP Xy)
% 71.31/71.55 Instantiate: Xy:=Xy1:fofType
% 71.31/71.55 Found (x2 x50) as proof of (cP Xy1)
% 71.31/71.55 Found (x2 x50) as proof of (cP Xy1)
% 71.31/71.55 Found x40:=(x4 x50):(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy1:fofType
% 71.31/71.55 Found (x4 x50) as proof of (cP Xy1)
% 71.31/71.55 Found (x4 x50) as proof of (cP Xy1)
% 71.31/71.55 Found x8:(cP x7)
% 71.31/71.55 Instantiate: Xy:=x7:fofType
% 71.31/71.55 Found x8 as proof of (cP Xy)
% 71.31/71.55 Found x8:(cP x7)
% 71.31/71.55 Instantiate: Xy1:=x7:fofType
% 71.31/71.55 Found x8 as proof of (cP Xy1)
% 71.31/71.55 Found x8:(cP x7)
% 71.31/71.55 Instantiate: Xy1:=x7:fofType
% 71.31/71.55 Found x8 as proof of (cP Xy1)
% 71.31/71.55 Found x30:(cP x0)
% 71.31/71.55 Found x30 as proof of (cP x0)
% 71.31/71.55 Found x20:=(x2 x51):(cP Xy)
% 71.31/71.55 Instantiate: Xy:=Xy1:fofType
% 71.31/71.55 Found (x2 x51) as proof of (cP Xy1)
% 71.31/71.55 Found (x2 x51) as proof of (cP Xy1)
% 71.31/71.55 Found x40:(cP Xy0)
% 71.31/71.55 Instantiate: Xy:=Xy0:fofType
% 71.31/71.55 Found x40 as proof of (cP Xy)
% 71.31/71.55 Found x40:=(x4 x51):(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy1:fofType
% 71.31/71.55 Found (x4 x51) as proof of (cP Xy1)
% 71.31/71.55 Found (x4 x51) as proof of (cP Xy1)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x20 as proof of (cP x0)
% 71.31/71.55 Found x21:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=Xy1:fofType
% 71.31/71.55 Found x21 as proof of (cP Xy1)
% 71.31/71.55 Found x40:(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy1:fofType
% 71.31/71.55 Found x40 as proof of (cP Xy1)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x20 as proof of (cP x0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found x20 as proof of (cP Xy0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=Xy1:fofType
% 71.31/71.55 Found x20 as proof of (cP Xy1)
% 71.31/71.55 Found x20 as proof of (cP Xy1)
% 71.31/71.55 Found x20:=(x2 x30):(cP Xy)
% 71.31/71.55 Instantiate: Xy:=Xy1:fofType
% 71.31/71.55 Found (x2 x30) as proof of (cP Xy1)
% 71.31/71.55 Found (x2 x30) as proof of (cP Xy1)
% 71.31/71.55 Found x22:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x22 as proof of (cP x0)
% 71.31/71.55 Found x22:(cP Xy)
% 71.31/71.55 Found x22 as proof of (cP Xy0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 71.31/71.55 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 71.31/71.55 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP Xy)))
% 71.31/71.55 Found x30:(cP x0)
% 71.31/71.55 Found (fun (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (cP x0)
% 71.31/71.55 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP x0))
% 71.31/71.55 Found (fun (x4:((cP x0)->(cP Xy0))) (x5:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->(cP x0)))
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x20 as proof of (cP x0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x20 as proof of (cP x0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x20 as proof of (cP x0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found x20 as proof of (cP Xy0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found x20 as proof of (cP Xy0)
% 71.31/71.55 Found x20:(cP Xy)
% 71.31/71.55 Instantiate: Xy:=x0:fofType
% 71.31/71.55 Found x20 as proof of (cP x0)
% 71.31/71.55 Found x30:=(x3 x41):(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found (x3 x41) as proof of (cP Xy)
% 71.31/71.55 Found (x3 x41) as proof of (cP Xy)
% 71.31/71.55 Found x6:(cP x5)
% 71.31/71.55 Instantiate: Xy0:=x5:fofType
% 71.31/71.55 Found x6 as proof of (cP Xy0)
% 71.31/71.55 Found x31:(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 71.31/71.55 Found (fun (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 71.31/71.55 Found x30:=(x3 x40):(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found (x3 x40) as proof of (cP Xy)
% 71.31/71.55 Found (x3 x40) as proof of (cP Xy)
% 71.31/71.55 Found x50:=(x5 x40):(cP Xy00)
% 71.31/71.55 Instantiate: Xy00:=Xy:fofType
% 71.31/71.55 Found (x5 x40) as proof of (cP Xy)
% 71.31/71.55 Found (x5 x40) as proof of (cP Xy)
% 71.31/71.55 Found x50:=(x5 x60):(cP Xy00)
% 71.31/71.55 Instantiate: Xy00:=Xy:fofType
% 71.31/71.55 Found (x5 x60) as proof of (cP Xy)
% 71.31/71.55 Found (x5 x60) as proof of (cP Xy)
% 71.31/71.55 Found x30:(cP x0)
% 71.31/71.55 Found x30 as proof of (cP x0)
% 71.31/71.55 Found (x5 x30) as proof of (cP Xy0)
% 71.31/71.55 Found (x5 x30) as proof of (cP Xy0)
% 71.31/71.55 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 71.31/71.55 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 71.31/71.55 Found x30:=(x3 x60):(cP Xy0)
% 71.31/71.55 Instantiate: Xy0:=Xy:fofType
% 71.31/71.55 Found (x3 x60) as proof of (cP Xy)
% 72.67/72.92 Found (x3 x60) as proof of (cP Xy)
% 72.67/72.92 Found x30:(cP x0)
% 72.67/72.92 Found x30 as proof of (cP x0)
% 72.67/72.92 Found (x2 x30) as proof of (cP Xy0)
% 72.67/72.92 Found (x2 x30) as proof of (cP Xy0)
% 72.67/72.92 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 72.67/72.92 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy1:fofType
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy1:fofType
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x41:(cP Xy0)
% 72.67/72.92 Instantiate: Xy0:=Xy1:fofType
% 72.67/72.92 Found x41 as proof of (cP Xy1)
% 72.67/72.92 Found x41:(cP Xy0)
% 72.67/72.92 Found x41 as proof of (cP Xy1)
% 72.67/72.92 Found x21:(cP Xy)
% 72.67/72.92 Found x21 as proof of (cP Xy1)
% 72.67/72.92 Found x21:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy1:fofType
% 72.67/72.92 Found x21 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy1:fofType
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x40:(cP Xy0)
% 72.67/72.92 Found x40 as proof of (cP Xy1)
% 72.67/72.92 Found x40:(cP Xy0)
% 72.67/72.92 Instantiate: Xy0:=Xy1:fofType
% 72.67/72.92 Found x40 as proof of (cP Xy1)
% 72.67/72.92 Found x50:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x50 as proof of (cP Xy)
% 72.67/72.92 Found x40:(cP Xy0)
% 72.67/72.92 Found x40 as proof of (cP Xy1)
% 72.67/72.92 Found x40 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x40:(cP Xy0)
% 72.67/72.92 Instantiate: Xy0:=Xy1:fofType
% 72.67/72.92 Found x40 as proof of (cP Xy1)
% 72.67/72.92 Found x40 as proof of (cP Xy1)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy1:fofType
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x20 as proof of (cP Xy1)
% 72.67/72.92 Found x50:(cP Xy00)
% 72.67/72.92 Instantiate: Xy00:=Xy:fofType
% 72.67/72.92 Found (fun (x6:((cP Xy00)->(cP x1)))=> x50) as proof of (cP Xy)
% 72.67/72.92 Found (fun (x6:((cP Xy00)->(cP x1)))=> x50) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 72.67/72.92 Found x30:(cP Xy0)
% 72.67/72.92 Instantiate: Xy0:=Xy:fofType
% 72.67/72.92 Found (fun (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (cP Xy)
% 72.67/72.92 Found (fun (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 72.67/72.92 Found x31:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x31 as proof of (cP Xy)
% 72.67/72.92 Found x20:=(x2 x30):(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy1:fofType
% 72.67/72.92 Found (x2 x30) as proof of (cP Xy1)
% 72.67/72.92 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 72.67/72.92 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 72.67/72.92 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 72.67/72.92 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 72.67/72.92 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 72.67/72.92 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 72.67/72.92 Found x22:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=Xy0:fofType
% 72.67/72.92 Found x22 as proof of (cP Xy0)
% 72.67/72.92 Found x50:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x50 as proof of (cP Xy)
% 72.67/72.92 Found x21:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x21 as proof of (cP x0)
% 72.67/72.92 Found x50:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x50 as proof of (cP Xy)
% 72.67/72.92 Found x30:(cP x0)
% 72.67/72.92 Instantiate: Xy0:=x0:fofType
% 72.67/72.92 Found x30 as proof of (cP Xy0)
% 72.67/72.92 Found x21:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x21 as proof of (cP x0)
% 72.67/72.92 Found x30:(cP x0)
% 72.67/72.92 Instantiate: Xy0:=x0:fofType
% 72.67/72.92 Found x30 as proof of (cP Xy0)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy0:=Xy:fofType
% 72.67/72.92 Found x20 as proof of (cP Xy0)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x20 as proof of (cP x0)
% 72.67/72.92 Found x20:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x20 as proof of (cP x0)
% 72.67/72.92 Found x21:(cP Xy)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x21 as proof of (cP x0)
% 72.67/72.92 Found x31:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x31 as proof of (cP Xy)
% 72.67/72.92 Found x60:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x60 as proof of (cP Xy)
% 72.67/72.92 Found x31:(cP x0)
% 72.67/72.92 Instantiate: Xy0:=x0:fofType
% 72.67/72.92 Found x31 as proof of (cP Xy0)
% 72.67/72.92 Found x50:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x50 as proof of (cP Xy)
% 72.67/72.92 Found x50:(cP x0)
% 72.67/72.92 Instantiate: Xy0:=x0:fofType
% 72.67/72.92 Found x50 as proof of (cP Xy0)
% 72.67/72.92 Found x31:(cP x0)
% 72.67/72.92 Instantiate: Xy:=x0:fofType
% 72.67/72.92 Found x31 as proof of (cP Xy)
% 72.67/72.92 Found x30:(cP x0)
% 72.67/72.92 Instantiate: Xy1:=x0:fofType
% 72.67/72.92 Found x30 as proof of (cP Xy1)
% 73.49/73.73 Found x60:(cP x0)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x60 as proof of (cP Xy)
% 73.49/73.73 Found x30:(cP x0)
% 73.49/73.73 Instantiate: Xy1:=x0:fofType
% 73.49/73.73 Found x30 as proof of (cP Xy1)
% 73.49/73.73 Found x40:(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=x0:fofType
% 73.49/73.73 Found x40 as proof of (cP x0)
% 73.49/73.73 Found x20:=(x2 x30):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x30) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x30):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x30) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x51):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x51) as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x51):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x51) as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x50):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x50) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x50):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x50) as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x31):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x31) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x31):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x31) as proof of (cP Xy1)
% 73.49/73.73 Found x40:(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=x0:fofType
% 73.49/73.73 Found x40 as proof of (cP x0)
% 73.49/73.73 Found x21:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x21 as proof of (cP x0)
% 73.49/73.73 Found x21:(cP Xy)
% 73.49/73.73 Instantiate: Xy0:=Xy:fofType
% 73.49/73.73 Found x21 as proof of (cP Xy0)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x20 as proof of (cP x0)
% 73.49/73.73 Found x21:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x21 as proof of (cP x0)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x20 as proof of (cP x0)
% 73.49/73.73 Found x50:(cP x0)
% 73.49/73.73 Instantiate: Xy0:=x0:fofType
% 73.49/73.73 Found x50 as proof of (cP Xy0)
% 73.49/73.73 Found x50:(cP x0)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x50 as proof of (cP Xy)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found x20 as proof of (cP Xy1)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found x20 as proof of (cP Xy1)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found x20 as proof of (cP Xy1)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found x20 as proof of (cP Xy1)
% 73.49/73.73 Found x50:(cP x0)
% 73.49/73.73 Found x50 as proof of (cP x0)
% 73.49/73.73 Found x30:(cP x0)
% 73.49/73.73 Instantiate: Xy0:=x0:fofType
% 73.49/73.73 Found x30 as proof of (cP Xy0)
% 73.49/73.73 Found x30:(cP x0)
% 73.49/73.73 Found x30 as proof of (cP x0)
% 73.49/73.73 Found x30:(cP x0)
% 73.49/73.73 Instantiate: Xy:=x0:fofType
% 73.49/73.73 Found x30 as proof of (cP Xy)
% 73.49/73.73 Found x41:(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found x41 as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x50):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x50) as proof of (cP Xy1)
% 73.49/73.73 Found (x2 x50) as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x31):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x31) as proof of (cP Xy1)
% 73.49/73.73 Found (x2 x31) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x31):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x31) as proof of (cP Xy1)
% 73.49/73.73 Found (x4 x31) as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x51):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x51) as proof of (cP Xy1)
% 73.49/73.73 Found (x2 x51) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x51):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x51) as proof of (cP Xy1)
% 73.49/73.73 Found (x4 x51) as proof of (cP Xy1)
% 73.49/73.73 Found x21:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found x21 as proof of (cP Xy1)
% 73.49/73.73 Found x20:(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found x20 as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x30):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x30) as proof of (cP Xy1)
% 73.49/73.73 Found x20:=(x2 x30):(cP Xy)
% 73.49/73.73 Instantiate: Xy:=Xy1:fofType
% 73.49/73.73 Found (x2 x30) as proof of (cP Xy1)
% 73.49/73.73 Found (x2 x30) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x30):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x30) as proof of (cP Xy1)
% 73.49/73.73 Found (x4 x30) as proof of (cP Xy1)
% 73.49/73.73 Found x40:=(x4 x50):(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=Xy1:fofType
% 73.49/73.73 Found (x4 x50) as proof of (cP Xy1)
% 73.49/73.73 Found (x4 x50) as proof of (cP Xy1)
% 73.49/73.73 Found x8:(cP x7)
% 73.49/73.73 Instantiate: Xy:=x7:fofType
% 73.49/73.73 Found x8 as proof of (cP Xy)
% 73.49/73.73 Found x41:(cP Xy0)
% 73.49/73.73 Instantiate: Xy:=Xy0:fofType
% 73.49/73.73 Found x41 as proof of (cP Xy)
% 73.49/73.73 Found x8:(cP x7)
% 73.49/73.73 Instantiate: Xy1:=x7:fofType
% 73.49/73.73 Found x8 as proof of (cP Xy1)
% 73.49/73.73 Found x41:(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=x0:fofType
% 73.49/73.73 Found x41 as proof of (cP x0)
% 73.49/73.73 Found x8:(cP x7)
% 73.49/73.73 Instantiate: Xy1:=x7:fofType
% 73.49/73.73 Found x8 as proof of (cP Xy1)
% 73.49/73.73 Found x41:(cP Xy0)
% 73.49/73.73 Instantiate: Xy0:=x0:fofType
% 73.49/73.73 Found x41 as proof of (cP x0)
% 73.49/73.73 Found x8:(cP x7)
% 73.49/73.73 Instantiate: Xy:=x7:fofType
% 73.49/73.73 Found x8 as proof of (cP Xy)
% 73.49/73.73 Found x20:(cP Xy)
% 74.00/74.28 Instantiate: Xy:=Xy0:fofType
% 74.00/74.28 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 74.00/74.28 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 74.00/74.28 Found x50:(cP Xy1)
% 74.00/74.28 Instantiate: Xy1:=Xy0:fofType
% 74.00/74.28 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 74.00/74.28 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 74.00/74.28 Found x20:(cP Xy)
% 74.00/74.28 Instantiate: Xy:=Xy0:fofType
% 74.00/74.28 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 74.00/74.28 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 74.00/74.28 Found x51:(cP Xy1)
% 74.00/74.28 Instantiate: Xy1:=Xy0:fofType
% 74.00/74.28 Found (fun (x8:(cP x7))=> x51) as proof of (cP Xy0)
% 74.00/74.28 Found (fun (x8:(cP x7))=> x51) as proof of ((cP x7)->(cP Xy0))
% 74.00/74.28 Found x21:(cP Xy)
% 74.00/74.28 Instantiate: Xy:=Xy0:fofType
% 74.00/74.28 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy0)
% 74.00/74.28 Found (fun (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy0))
% 74.00/74.28 Found x50:(cP Xy1)
% 74.00/74.28 Instantiate: Xy1:=Xy0:fofType
% 74.00/74.28 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 74.00/74.28 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 74.00/74.28 Found x31:(cP Xy0)
% 74.00/74.28 Instantiate: Xy0:=x1:fofType
% 74.00/74.28 Found x31 as proof of (cP x1)
% 74.00/74.28 Found x20:=(x2 x30):(cP Xy)
% 74.00/74.28 Instantiate: Xy:=Xy1:fofType
% 74.00/74.28 Found (x2 x30) as proof of (cP Xy1)
% 74.00/74.28 Found (x2 x30) as proof of (cP Xy1)
% 74.00/74.28 Found x22:(cP Xy)
% 74.00/74.28 Instantiate: Xy:=x0:fofType
% 74.00/74.28 Found x22 as proof of (cP x0)
% 74.00/74.28 Found x20:(cP Xy)
% 74.00/74.28 Instantiate: Xy:=Xy1:fofType
% 74.00/74.28 Found x20 as proof of (cP Xy1)
% 74.00/74.28 Found x20 as proof of (cP Xy1)
% 74.00/74.28 Found x22:(cP Xy)
% 74.00/74.28 Found x22 as proof of (cP Xy0)
% 74.00/74.28 Found x50:(cP x0)
% 74.00/74.28 Instantiate: Xy:=x0:fofType
% 74.00/74.28 Found x50 as proof of (cP Xy)
% 74.00/74.28 Found x30:(cP x0)
% 74.00/74.28 Instantiate: Xy0:=x0:fofType
% 74.00/74.28 Found x30 as proof of (cP Xy0)
% 74.00/74.28 Found x30:=(x3 x40):(cP Xy0)
% 74.00/74.28 Instantiate: Xy0:=Xy:fofType
% 74.00/74.28 Found (x3 x40) as proof of (cP Xy)
% 74.00/74.28 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 74.00/74.28 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 74.00/74.28 Found x22:(cP Xy)
% 74.00/74.28 Found x22 as proof of (cP Xy0)
% 74.00/74.28 Found x50:=(x5 x40):(cP Xy00)
% 74.00/74.28 Instantiate: Xy00:=Xy:fofType
% 74.00/74.28 Found (x5 x40) as proof of (cP Xy)
% 74.00/74.28 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 74.00/74.28 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 74.00/74.28 Found x30:=(x3 x41):(cP Xy0)
% 74.00/74.28 Instantiate: Xy0:=Xy:fofType
% 74.00/74.28 Found (x3 x41) as proof of (cP Xy)
% 74.00/74.28 Found (x3 x41) as proof of (cP Xy)
% 74.00/74.28 Found x6:(cP x5)
% 74.00/74.28 Instantiate: Xy1:=x5:fofType
% 74.00/74.28 Found x6 as proof of (cP Xy1)
% 74.00/74.28 Found (x8 x6) as proof of (cP x0)
% 74.00/74.28 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 74.00/74.28 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 74.00/74.28 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 74.00/74.28 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 74.00/74.28 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 74.00/74.28 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 74.00/74.28 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 74.00/74.28 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 74.00/74.28 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 74.00/74.28 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 74.39/74.61 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 74.39/74.61 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 74.39/74.61 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 74.39/74.61 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 74.39/74.61 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy)
% 74.39/74.61 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy)
% 74.39/74.61 Found x32:(cP x0)
% 74.39/74.61 Instantiate: Xy:=x0:fofType
% 74.39/74.61 Found x32 as proof of (cP Xy)
% 74.39/74.61 Found x50:=(x5 x30):(cP Xy1)
% 74.39/74.61 Instantiate: Xy1:=Xy0:fofType
% 74.39/74.61 Found (x5 x30) as proof of (cP Xy0)
% 74.39/74.61 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 74.39/74.61 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 74.39/74.61 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 74.39/74.61 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 74.39/74.61 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 74.39/74.61 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 74.39/74.61 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 74.39/74.61 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (x5 x30))) as proof of (cP Xy0)
% 74.39/74.61 Found x31:(cP Xy0)
% 74.39/74.61 Instantiate: Xy0:=Xy:fofType
% 74.39/74.61 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 74.39/74.61 Found (fun (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 74.39/74.61 Found x20:(cP Xy)
% 74.39/74.61 Instantiate: Xy:=Xy1:fofType
% 74.39/74.61 Found x20 as proof of (cP Xy1)
% 74.39/74.61 Found x30:(cP x0)
% 74.39/74.61 Found x30 as proof of (cP x0)
% 75.37/75.61 Found (x5 x30) as proof of (cP Xy0)
% 75.37/75.61 Found (x5 x30) as proof of (cP Xy0)
% 75.37/75.61 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 75.37/75.61 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 75.37/75.61 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 75.37/75.61 Found x30:(cP x0)
% 75.37/75.61 Found x30 as proof of (cP x0)
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy0)
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy0)
% 75.37/75.61 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 75.37/75.61 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 75.37/75.61 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 75.37/75.61 Found x20:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x20:(cP Xy)
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x20:(cP Xy)
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x41:(cP Xy0)
% 75.37/75.61 Found x41 as proof of (cP Xy1)
% 75.37/75.61 Found x41:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 75.37/75.61 Found x41 as proof of (cP Xy1)
% 75.37/75.61 Found x20:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x20:(cP Xy)
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x40:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 75.37/75.61 Found x40 as proof of (cP Xy1)
% 75.37/75.61 Found x40:(cP Xy0)
% 75.37/75.61 Found x40 as proof of (cP Xy1)
% 75.37/75.61 Found x21:(cP Xy)
% 75.37/75.61 Found x21 as proof of (cP Xy1)
% 75.37/75.61 Found x21:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found x21 as proof of (cP Xy1)
% 75.37/75.61 Found x20:=(x2 x30):(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy0:fofType
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy0)
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy0)
% 75.37/75.61 Found x40:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=x0:fofType
% 75.37/75.61 Found x40 as proof of (cP x0)
% 75.37/75.61 Found x40:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=x0:fofType
% 75.37/75.61 Found x40 as proof of (cP x0)
% 75.37/75.61 Found x22:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy0:fofType
% 75.37/75.61 Found x22 as proof of (cP Xy0)
% 75.37/75.61 Found x30:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy:fofType
% 75.37/75.61 Found (fun (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (cP Xy)
% 75.37/75.61 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 75.37/75.61 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> x30) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 75.37/75.61 Found x20:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x20 as proof of (cP Xy1)
% 75.37/75.61 Found x40:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 75.37/75.61 Found x40 as proof of (cP Xy1)
% 75.37/75.61 Found x40 as proof of (cP Xy1)
% 75.37/75.61 Found x22:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy0:fofType
% 75.37/75.61 Found x22 as proof of (cP Xy0)
% 75.37/75.61 Found x22:(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy0:fofType
% 75.37/75.61 Found x22 as proof of (cP Xy0)
% 75.37/75.61 Found x31:(cP x0)
% 75.37/75.61 Instantiate: Xy0:=x0:fofType
% 75.37/75.61 Found x31 as proof of (cP Xy0)
% 75.37/75.61 Found x50:(cP x0)
% 75.37/75.61 Instantiate: Xy0:=x0:fofType
% 75.37/75.61 Found x50 as proof of (cP Xy0)
% 75.37/75.61 Found x31:(cP x0)
% 75.37/75.61 Instantiate: Xy0:=x0:fofType
% 75.37/75.61 Found x31 as proof of (cP Xy0)
% 75.37/75.61 Found x31:(cP x0)
% 75.37/75.61 Instantiate: Xy:=x0:fofType
% 75.37/75.61 Found x31 as proof of (cP Xy)
% 75.37/75.61 Found x31:(cP x0)
% 75.37/75.61 Instantiate: Xy:=x0:fofType
% 75.37/75.61 Found x31 as proof of (cP Xy)
% 75.37/75.61 Found x50:(cP x0)
% 75.37/75.61 Instantiate: Xy:=x0:fofType
% 75.37/75.61 Found x50 as proof of (cP Xy)
% 75.37/75.61 Found x50:(cP x0)
% 75.37/75.61 Instantiate: Xy:=x0:fofType
% 75.37/75.61 Found x50 as proof of (cP Xy)
% 75.37/75.61 Found x20:=(x2 x30):(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy0:fofType
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy0)
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy0)
% 75.37/75.61 Found x40:(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=x0:fofType
% 75.37/75.61 Found x40 as proof of (cP x0)
% 75.37/75.61 Found x20:=(x2 x50):(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found (x2 x50) as proof of (cP Xy1)
% 75.37/75.61 Found x40:=(x4 x50):(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 75.37/75.61 Found (x4 x50) as proof of (cP Xy1)
% 75.37/75.61 Found x40:=(x4 x31):(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 75.37/75.61 Found (x4 x31) as proof of (cP Xy1)
% 75.37/75.61 Found x20:=(x2 x31):(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found (x2 x31) as proof of (cP Xy1)
% 75.37/75.61 Found x20:=(x2 x30):(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found (x2 x30) as proof of (cP Xy1)
% 75.37/75.61 Found x40:=(x4 x30):(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 75.37/75.61 Found (x4 x30) as proof of (cP Xy1)
% 75.37/75.61 Found x20:=(x2 x51):(cP Xy)
% 75.37/75.61 Instantiate: Xy:=Xy1:fofType
% 75.37/75.61 Found (x2 x51) as proof of (cP Xy1)
% 75.37/75.61 Found x40:=(x4 x51):(cP Xy0)
% 75.37/75.61 Instantiate: Xy0:=Xy1:fofType
% 76.12/76.35 Found (x4 x51) as proof of (cP Xy1)
% 76.12/76.35 Found x31:(cP x0)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x31 as proof of (cP Xy)
% 76.12/76.35 Found x40:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x40 as proof of (cP x0)
% 76.12/76.35 Found x40:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x40 as proof of (cP x0)
% 76.12/76.35 Found x40:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x40 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy0:=Xy:fofType
% 76.12/76.35 Found x21 as proof of (cP Xy0)
% 76.12/76.35 Found x50:(cP x0)
% 76.12/76.35 Found x50 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x21 as proof of (cP x0)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x20 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x21 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x21 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x21 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy0:=Xy:fofType
% 76.12/76.35 Found x21 as proof of (cP Xy0)
% 76.12/76.35 Found x50:(cP x0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x50 as proof of (cP Xy0)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x20 as proof of (cP x0)
% 76.12/76.35 Found x50:(cP x0)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x50 as proof of (cP Xy)
% 76.12/76.35 Found x40:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x40 as proof of (cP x0)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x22:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy0:fofType
% 76.12/76.35 Found x22 as proof of (cP Xy0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x21 as proof of (cP x0)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x30:(cP x0)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x30 as proof of (cP Xy)
% 76.12/76.35 Found x30:(cP x0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x30 as proof of (cP Xy0)
% 76.12/76.35 Found x30:(cP x0)
% 76.12/76.35 Found x30 as proof of (cP x0)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x21 as proof of (cP x0)
% 76.12/76.35 Found x40:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x40 as proof of (cP x0)
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy:=Xy0:fofType
% 76.12/76.35 Found x41 as proof of (cP Xy)
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x41 as proof of (cP x0)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x20 as proof of (cP x0)
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x41 as proof of (cP x0)
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=Xy1:fofType
% 76.12/76.35 Found x41 as proof of (cP Xy1)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x20:=(x2 x30):(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found (x2 x30) as proof of (cP Xy1)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x20 as proof of (cP x0)
% 76.12/76.35 Found x30:(cP x0)
% 76.12/76.35 Instantiate: Xy:=x0:fofType
% 76.12/76.35 Found x30 as proof of (cP Xy)
% 76.12/76.35 Found x30:(cP x0)
% 76.12/76.35 Found x30 as proof of (cP x0)
% 76.12/76.35 Found x21:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x21 as proof of (cP Xy1)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy1:fofType
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x20 as proof of (cP Xy1)
% 76.12/76.35 Found x40:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=Xy1:fofType
% 76.12/76.35 Found x40 as proof of (cP Xy1)
% 76.12/76.35 Found x40 as proof of (cP Xy1)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Found x20 as proof of (cP Xy0)
% 76.12/76.35 Found x51:(cP Xy1)
% 76.12/76.35 Instantiate: Xy1:=Xy0:fofType
% 76.12/76.35 Found (fun (x8:(cP x7))=> x51) as proof of (cP Xy0)
% 76.12/76.35 Found (fun (x8:(cP x7))=> x51) as proof of ((cP x7)->(cP Xy0))
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x41 as proof of (cP x0)
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy:=Xy0:fofType
% 76.12/76.35 Found x41 as proof of (cP Xy)
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy0:fofType
% 76.12/76.35 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 76.12/76.35 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 76.12/76.35 Found x50:(cP Xy1)
% 76.12/76.35 Instantiate: Xy1:=Xy0:fofType
% 76.12/76.35 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 76.12/76.35 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 76.12/76.35 Found x41:(cP Xy0)
% 76.12/76.35 Instantiate: Xy0:=x0:fofType
% 76.12/76.35 Found x41 as proof of (cP x0)
% 76.12/76.35 Found x50:(cP Xy1)
% 76.12/76.35 Instantiate: Xy1:=Xy0:fofType
% 76.12/76.35 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 76.12/76.35 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 76.12/76.35 Found x20:(cP Xy)
% 76.12/76.35 Instantiate: Xy:=Xy0:fofType
% 77.40/77.66 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 77.40/77.66 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 77.40/77.66 Found x21:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy0:fofType
% 77.40/77.66 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy0)
% 77.40/77.66 Found (fun (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy0))
% 77.40/77.66 Found x32:(cP x0)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x32 as proof of (cP Xy)
% 77.40/77.66 Found x22:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x22 as proof of (cP x0)
% 77.40/77.66 Found x22:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x22 as proof of (cP x0)
% 77.40/77.66 Found x22:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x22 as proof of (cP x0)
% 77.40/77.66 Found x22:(cP Xy)
% 77.40/77.66 Found x22 as proof of (cP Xy0)
% 77.40/77.66 Found x20:=(x2 x30):(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy0:fofType
% 77.40/77.66 Found (x2 x30) as proof of (cP Xy0)
% 77.40/77.66 Found (x2 x30) as proof of (cP Xy0)
% 77.40/77.66 Found x50:=(x5 x40):(cP Xy00)
% 77.40/77.66 Instantiate: Xy00:=Xy:fofType
% 77.40/77.66 Found (x5 x40) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 77.40/77.66 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 77.40/77.66 Found x30:=(x3 x40):(cP Xy0)
% 77.40/77.66 Instantiate: Xy0:=Xy:fofType
% 77.40/77.66 Found (x3 x40) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 77.40/77.66 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 77.40/77.66 Found x22:(cP Xy)
% 77.40/77.66 Found x22 as proof of (cP Xy0)
% 77.40/77.66 Found x30:=(x3 x41):(cP Xy0)
% 77.40/77.66 Instantiate: Xy0:=Xy:fofType
% 77.40/77.66 Found (x3 x41) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 77.40/77.66 Found x30:=(x3 x41):(cP Xy0)
% 77.40/77.66 Instantiate: Xy0:=Xy:fofType
% 77.40/77.66 Found (x3 x41) as proof of (cP Xy)
% 77.40/77.66 Found (x3 x41) as proof of (cP Xy)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Found x20 as proof of (cP Xy0)
% 77.40/77.66 Found x60:(cP x0)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x60 as proof of (cP Xy)
% 77.40/77.66 Found x30:(cP x0)
% 77.40/77.66 Instantiate: Xy1:=x0:fofType
% 77.40/77.66 Found x30 as proof of (cP Xy1)
% 77.40/77.66 Found x60:(cP x0)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x60 as proof of (cP Xy)
% 77.40/77.66 Found x30:(cP x0)
% 77.40/77.66 Instantiate: Xy1:=x0:fofType
% 77.40/77.66 Found x30 as proof of (cP Xy1)
% 77.40/77.66 Found x31:(cP Xy0)
% 77.40/77.66 Instantiate: Xy0:=Xy:fofType
% 77.40/77.66 Found (fun (x6:(cP x5))=> x31) as proof of (cP Xy)
% 77.40/77.66 Found (fun (x5:fofType) (x6:(cP x5))=> x31) as proof of ((cP x5)->(cP Xy))
% 77.40/77.66 Found (fun (x5:fofType) (x6:(cP x5))=> x31) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy1:fofType
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy1:fofType
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x20:=(x2 x30):(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy0:fofType
% 77.40/77.66 Found (x2 x30) as proof of (cP Xy0)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy0:fofType
% 77.40/77.66 Found x20 as proof of (cP Xy0)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy1:fofType
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x8:(cP x7)
% 77.40/77.66 Instantiate: Xy0:=x7:fofType
% 77.40/77.66 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x20 as proof of (cP x0)
% 77.40/77.66 Found x21:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy1:fofType
% 77.40/77.66 Found x21 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy1:fofType
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=Xy1:fofType
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x40:(cP Xy0)
% 77.40/77.66 Instantiate: Xy0:=Xy1:fofType
% 77.40/77.66 Found x40 as proof of (cP Xy1)
% 77.40/77.66 Found x8:(cP x7)
% 77.40/77.66 Instantiate: Xy:=x7:fofType
% 77.40/77.66 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 77.40/77.66 Found x41:(cP Xy0)
% 77.40/77.66 Instantiate: Xy0:=Xy1:fofType
% 77.40/77.66 Found x41 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Instantiate: Xy:=x0:fofType
% 77.40/77.66 Found x20 as proof of (cP x0)
% 77.40/77.66 Found x21:(cP Xy)
% 77.40/77.66 Found x21 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 77.40/77.66 Found x20 as proof of (cP Xy1)
% 77.40/77.66 Found x41:(cP Xy0)
% 77.40/77.66 Found x41 as proof of (cP Xy1)
% 77.40/77.66 Found x40:(cP Xy0)
% 77.40/77.66 Found x40 as proof of (cP Xy1)
% 77.40/77.66 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy0:=Xy:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy0)
% 78.46/78.68 Found x41:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found x41 as proof of (cP Xy1)
% 78.46/78.68 Found x21:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x21 as proof of (cP Xy1)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x40:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found x40 as proof of (cP Xy1)
% 78.46/78.68 Found x22:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy0:fofType
% 78.46/78.68 Found x22 as proof of (cP Xy0)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy0:=Xy:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy0)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x20 as proof of (cP x0)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x20 as proof of (cP x0)
% 78.46/78.68 Found x50:=(x5 x61):(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy:fofType
% 78.46/78.68 Found (x5 x61) as proof of (cP Xy)
% 78.46/78.68 Found (x5 x61) as proof of (cP Xy)
% 78.46/78.68 Found x50:(cP x0)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x50 as proof of (cP Xy)
% 78.46/78.68 Found x30:(cP x0)
% 78.46/78.68 Instantiate: Xy0:=x0:fofType
% 78.46/78.68 Found x30 as proof of (cP Xy0)
% 78.46/78.68 Found x50:=(x5 x61):(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy:fofType
% 78.46/78.68 Found (x5 x61) as proof of (cP Xy)
% 78.46/78.68 Found (x5 x61) as proof of (cP Xy)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Found x20 as proof of (cP Xy0)
% 78.46/78.68 Found x40:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found x40 as proof of (cP Xy1)
% 78.46/78.68 Found x40 as proof of (cP Xy1)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x22:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy0:fofType
% 78.46/78.68 Found x22 as proof of (cP Xy0)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x40:(cP Xy0)
% 78.46/78.68 Found x40 as proof of (cP Xy1)
% 78.46/78.68 Found x40 as proof of (cP Xy1)
% 78.46/78.68 Found x40:=(x4 Xy):(cP Xy)
% 78.46/78.68 Found (x4 Xy) as proof of (cP Xy)
% 78.46/78.68 Found (x4 Xy) as proof of (cP Xy)
% 78.46/78.68 Found x40:=(x4 x0):(cP x0)
% 78.46/78.68 Found (x4 x0) as proof of (cP x0)
% 78.46/78.68 Found (x4 x0) as proof of (cP x0)
% 78.46/78.68 Found x22:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy0:fofType
% 78.46/78.68 Found x22 as proof of (cP Xy0)
% 78.46/78.68 Found x8:(cP x7)
% 78.46/78.68 Instantiate: Xy0:=x7:fofType
% 78.46/78.68 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 78.46/78.68 Found x8:(cP x7)
% 78.46/78.68 Instantiate: Xy:=x7:fofType
% 78.46/78.68 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 78.46/78.68 Found x31:(cP x0)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x31 as proof of (cP Xy)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy0:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy0)
% 78.46/78.68 Found x31:(cP x0)
% 78.46/78.68 Instantiate: Xy0:=x0:fofType
% 78.46/78.68 Found x31 as proof of (cP Xy0)
% 78.46/78.68 Found x20:=(x2 x30):(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy0:fofType
% 78.46/78.68 Found (x2 x30) as proof of (cP Xy0)
% 78.46/78.68 Found x31:(cP x0)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x31 as proof of (cP Xy)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x40:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=x0:fofType
% 78.46/78.68 Found x40 as proof of (cP x0)
% 78.46/78.68 Found x40:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=x0:fofType
% 78.46/78.68 Found x40 as proof of (cP x0)
% 78.46/78.68 Found x21:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x21 as proof of (cP x0)
% 78.46/78.68 Found x21:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=x0:fofType
% 78.46/78.68 Found x21 as proof of (cP x0)
% 78.46/78.68 Found x21:(cP Xy)
% 78.46/78.68 Instantiate: Xy0:=Xy:fofType
% 78.46/78.68 Found x21 as proof of (cP Xy0)
% 78.46/78.68 Found x41:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found x41 as proof of (cP Xy1)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy1)
% 78.46/78.68 Found x40:(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found x40 as proof of (cP Xy1)
% 78.46/78.68 Found x20:(cP Xy)
% 78.46/78.68 Instantiate: Xy0:=Xy:fofType
% 78.46/78.68 Found x20 as proof of (cP Xy0)
% 78.46/78.68 Found x21:(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found x21 as proof of (cP Xy1)
% 78.46/78.68 Found x20:=(x2 x30):(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found (x2 x30) as proof of (cP Xy1)
% 78.46/78.68 Found x40:=(x4 x30):(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found (x4 x30) as proof of (cP Xy1)
% 78.46/78.68 Found x20:=(x2 x51):(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found (x2 x51) as proof of (cP Xy1)
% 78.46/78.68 Found x40:=(x4 x51):(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found (x4 x51) as proof of (cP Xy1)
% 78.46/78.68 Found x20:=(x2 x31):(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 78.46/78.68 Found (x2 x31) as proof of (cP Xy1)
% 78.46/78.68 Found x40:=(x4 x31):(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found (x4 x31) as proof of (cP Xy1)
% 78.46/78.68 Found x40:=(x4 x50):(cP Xy0)
% 78.46/78.68 Instantiate: Xy0:=Xy1:fofType
% 78.46/78.68 Found (x4 x50) as proof of (cP Xy1)
% 78.46/78.68 Found x20:=(x2 x50):(cP Xy)
% 78.46/78.68 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found (x2 x50) as proof of (cP Xy1)
% 79.01/79.26 Found x22:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy0:fofType
% 79.01/79.26 Found x22 as proof of (cP Xy0)
% 79.01/79.26 Found x40:(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=x0:fofType
% 79.01/79.26 Found x40 as proof of (cP x0)
% 79.01/79.26 Found x21:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=x0:fofType
% 79.01/79.26 Found x21 as proof of (cP x0)
% 79.01/79.26 Found x40:(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=x0:fofType
% 79.01/79.26 Found x40 as proof of (cP x0)
% 79.01/79.26 Found x21:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=x0:fofType
% 79.01/79.26 Found x21 as proof of (cP x0)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found x20 as proof of (cP Xy1)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found x20 as proof of (cP Xy1)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found x20 as proof of (cP Xy1)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found x20 as proof of (cP Xy1)
% 79.01/79.26 Found x6:(cP x5)
% 79.01/79.26 Instantiate: Xy:=x5:fofType
% 79.01/79.26 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 79.01/79.26 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 79.01/79.26 Found x30:(cP x0)
% 79.01/79.26 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 79.01/79.26 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy0:fofType
% 79.01/79.26 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 79.01/79.26 Found x20:=(x2 x30):(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found (x2 x30) as proof of (cP Xy1)
% 79.01/79.26 Found (x2 x30) as proof of (cP Xy1)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found x20 as proof of (cP Xy1)
% 79.01/79.26 Found x20:=(x2 x30):(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found (x2 x30) as proof of (cP Xy1)
% 79.01/79.26 Found x20:=(x2 x31):(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found (x2 x31) as proof of (cP Xy1)
% 79.01/79.26 Found (x2 x31) as proof of (cP Xy1)
% 79.01/79.26 Found x21:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found x21 as proof of (cP Xy1)
% 79.01/79.26 Found x40:=(x4 x51):(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=Xy1:fofType
% 79.01/79.26 Found (x4 x51) as proof of (cP Xy1)
% 79.01/79.26 Found (x4 x51) as proof of (cP Xy1)
% 79.01/79.26 Found x50:(cP Xy1)
% 79.01/79.26 Instantiate: Xy1:=Xy0:fofType
% 79.01/79.26 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 79.01/79.26 Found x40:=(x4 x31):(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=Xy1:fofType
% 79.01/79.26 Found (x4 x31) as proof of (cP Xy1)
% 79.01/79.26 Found (x4 x31) as proof of (cP Xy1)
% 79.01/79.26 Found x40:=(x4 x50):(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=Xy1:fofType
% 79.01/79.26 Found (x4 x50) as proof of (cP Xy1)
% 79.01/79.26 Found (x4 x50) as proof of (cP Xy1)
% 79.01/79.26 Found x40:=(x4 x30):(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=Xy1:fofType
% 79.01/79.26 Found (x4 x30) as proof of (cP Xy1)
% 79.01/79.26 Found (x4 x30) as proof of (cP Xy1)
% 79.01/79.26 Found x41:(cP Xy0)
% 79.01/79.26 Instantiate: Xy0:=Xy1:fofType
% 79.01/79.26 Found x41 as proof of (cP Xy1)
% 79.01/79.26 Found x20:=(x2 x51):(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found (x2 x51) as proof of (cP Xy1)
% 79.01/79.26 Found (x2 x51) as proof of (cP Xy1)
% 79.01/79.26 Found x20:=(x2 x50):(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy1:fofType
% 79.01/79.26 Found (x2 x50) as proof of (cP Xy1)
% 79.01/79.26 Found (x2 x50) as proof of (cP Xy1)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Found x20 as proof of (cP Xy0)
% 79.01/79.26 Found x20:=(x2 x0):(cP x0)
% 79.01/79.26 Found (x2 x0) as proof of (cP x0)
% 79.01/79.26 Found (x2 x0) as proof of (cP x0)
% 79.01/79.26 Found x20:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy0:fofType
% 79.01/79.26 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy0)
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy0))
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 79.01/79.26 Found x50:(cP Xy1)
% 79.01/79.26 Instantiate: Xy1:=Xy0:fofType
% 79.01/79.26 Found (fun (x8:(cP x7))=> x50) as proof of (cP Xy0)
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP Xy0))
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 79.01/79.26 Found x21:(cP Xy)
% 79.01/79.26 Instantiate: Xy:=Xy0:fofType
% 79.01/79.26 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy0)
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy0))
% 79.01/79.26 Found (fun (x7:fofType) (x8:(cP x7))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 79.01/79.26 Found x8:(cP x7)
% 79.01/79.26 Instantiate: Xy0:=x7:fofType
% 79.01/79.26 Found x8 as proof of (cP Xy0)
% 79.01/79.26 Found (x5 x8) as proof of (cP x0)
% 79.01/79.26 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 79.01/79.26 Found x8:(cP x7)
% 79.89/80.17 Instantiate: Xy:=x7:fofType
% 79.89/80.17 Found x8 as proof of (cP Xy)
% 79.89/80.17 Found (x3 x8) as proof of (cP x0)
% 79.89/80.17 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 79.89/80.17 Found x51:(cP Xy1)
% 79.89/80.17 Instantiate: Xy1:=Xy0:fofType
% 79.89/80.17 Found (fun (x8:(cP x7))=> x51) as proof of (cP Xy0)
% 79.89/80.17 Found (fun (x7:fofType) (x8:(cP x7))=> x51) as proof of ((cP x7)->(cP Xy0))
% 79.89/80.17 Found (fun (x7:fofType) (x8:(cP x7))=> x51) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 79.89/80.17 Found x8:(cP x7)
% 79.89/80.17 Instantiate: Xy0:=x7:fofType
% 79.89/80.17 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found x20 as proof of (cP Xy0)
% 79.89/80.17 Found x20:=(x2 x30):(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found (x2 x30) as proof of (cP Xy0)
% 79.89/80.17 Found x20:=(x2 x61):(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found (x2 x61) as proof of (cP Xy0)
% 79.89/80.17 Found (x2 x61) as proof of (cP Xy0)
% 79.89/80.17 Found x50:=(x5 x61):(cP Xy1)
% 79.89/80.17 Instantiate: Xy1:=Xy0:fofType
% 79.89/80.17 Found (x5 x61) as proof of (cP Xy0)
% 79.89/80.17 Found (x5 x61) as proof of (cP Xy0)
% 79.89/80.17 Found x50:=(x5 x60):(cP Xy1)
% 79.89/80.17 Instantiate: Xy1:=Xy0:fofType
% 79.89/80.17 Found (x5 x60) as proof of (cP Xy0)
% 79.89/80.17 Found (x5 x60) as proof of (cP Xy0)
% 79.89/80.17 Found x20:=(x2 x60):(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found (x2 x60) as proof of (cP Xy0)
% 79.89/80.17 Found (x2 x60) as proof of (cP Xy0)
% 79.89/80.17 Found x50:=(x5 x31):(cP Xy1)
% 79.89/80.17 Instantiate: Xy1:=Xy0:fofType
% 79.89/80.17 Found (x5 x31) as proof of (cP Xy0)
% 79.89/80.17 Found (x5 x31) as proof of (cP Xy0)
% 79.89/80.17 Found x50:=(x5 x30):(cP Xy1)
% 79.89/80.17 Instantiate: Xy1:=Xy0:fofType
% 79.89/80.17 Found (x5 x30) as proof of (cP Xy0)
% 79.89/80.17 Found (x5 x30) as proof of (cP Xy0)
% 79.89/80.17 Found x20:=(x2 x30):(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy1:fofType
% 79.89/80.17 Found (x2 x30) as proof of (cP Xy1)
% 79.89/80.17 Found (x2 x30) as proof of (cP Xy1)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy1:fofType
% 79.89/80.17 Found x20 as proof of (cP Xy1)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy1:fofType
% 79.89/80.17 Found x20 as proof of (cP Xy1)
% 79.89/80.17 Found x22:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x22 as proof of (cP x0)
% 79.89/80.17 Found x20:=(x2 x31):(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found (x2 x31) as proof of (cP Xy0)
% 79.89/80.17 Found (x2 x31) as proof of (cP Xy0)
% 79.89/80.17 Found x20:=(x2 x30):(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found (x2 x30) as proof of (cP Xy0)
% 79.89/80.17 Found (x2 x30) as proof of (cP Xy0)
% 79.89/80.17 Found x50:(cP x0)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x50 as proof of (cP Xy)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy1:fofType
% 79.89/80.17 Found x20 as proof of (cP Xy1)
% 79.89/80.17 Found x20 as proof of (cP Xy1)
% 79.89/80.17 Found x22:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x22 as proof of (cP x0)
% 79.89/80.17 Found x22:(cP Xy)
% 79.89/80.17 Found x22 as proof of (cP Xy0)
% 79.89/80.17 Found x21:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy1:fofType
% 79.89/80.17 Found x21 as proof of (cP Xy1)
% 79.89/80.17 Found x40:(cP Xy0)
% 79.89/80.17 Instantiate: Xy0:=Xy1:fofType
% 79.89/80.17 Found x40 as proof of (cP Xy1)
% 79.89/80.17 Found x41:(cP Xy0)
% 79.89/80.17 Instantiate: Xy0:=Xy1:fofType
% 79.89/80.17 Found x41 as proof of (cP Xy1)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Instantiate: Xy:=Xy1:fofType
% 79.89/80.17 Found x20 as proof of (cP Xy1)
% 79.89/80.17 Found x30:=(x3 x41):(cP Xy0)
% 79.89/80.17 Instantiate: Xy0:=Xy:fofType
% 79.89/80.17 Found (x3 x41) as proof of (cP Xy)
% 79.89/80.17 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 79.89/80.17 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 79.89/80.17 Found x30:=(x3 x41):(cP Xy0)
% 79.89/80.17 Instantiate: Xy0:=Xy:fofType
% 79.89/80.17 Found (x3 x41) as proof of (cP Xy)
% 79.89/80.17 Found (x3 x41) as proof of (cP Xy)
% 79.89/80.17 Found x51:(cP x0)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x51 as proof of (cP Xy)
% 79.89/80.17 Found x40:(cP Xy0)
% 79.89/80.17 Instantiate: Xy:=Xy0:fofType
% 79.89/80.17 Found x40 as proof of (cP Xy)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Found x20 as proof of (cP Xy0)
% 79.89/80.17 Found x51:(cP x0)
% 79.89/80.17 Instantiate: Xy0:=x0:fofType
% 79.89/80.17 Found x51 as proof of (cP Xy0)
% 79.89/80.17 Found x50:(cP x0)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x50 as proof of (cP Xy)
% 79.89/80.17 Found x30:(cP x0)
% 79.89/80.17 Instantiate: Xy0:=x0:fofType
% 79.89/80.17 Found x30 as proof of (cP Xy0)
% 79.89/80.17 Found x31:(cP x0)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x31 as proof of (cP Xy)
% 79.89/80.17 Found x20:(cP Xy)
% 79.89/80.17 Instantiate: Xy0:=Xy:fofType
% 79.89/80.17 Found x20 as proof of (cP Xy0)
% 79.89/80.17 Found x31:(cP x0)
% 79.89/80.17 Instantiate: Xy0:=x0:fofType
% 79.89/80.17 Found x31 as proof of (cP Xy0)
% 79.89/80.17 Found x30:(cP x0)
% 79.89/80.17 Instantiate: Xy:=x0:fofType
% 79.89/80.17 Found x30 as proof of (cP Xy)
% 79.89/80.17 Found x50:(cP x0)
% 79.89/80.17 Instantiate: Xy0:=x0:fofType
% 79.89/80.17 Found x50 as proof of (cP Xy0)
% 79.89/80.17 Found x40:(cP x1)
% 79.89/80.17 Found (fun (x6:(cP x5))=> x40) as proof of (cP x1)
% 79.89/80.17 Found (fun (x6:(cP x5))=> x40) as proof of ((cP x5)->(cP x1))
% 79.89/80.17 Found x6:(cP x5)
% 79.89/80.17 Instantiate: Xy0:=x5:fofType
% 79.89/80.17 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 81.10/81.33 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy0))
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x20 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x20 as proof of (cP x0)
% 81.10/81.33 Found x32:(cP x0)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x32 as proof of (cP Xy)
% 81.10/81.33 Found x40:(cP Xy0)
% 81.10/81.33 Instantiate: Xy0:=x0:fofType
% 81.10/81.33 Found x40 as proof of (cP x0)
% 81.10/81.33 Found x22:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x22 as proof of (cP x0)
% 81.10/81.33 Found x41:(cP x1)
% 81.10/81.33 Instantiate: Xy0:=x1:fofType
% 81.10/81.33 Found x41 as proof of (cP Xy0)
% 81.10/81.33 Found x40:(cP Xy0)
% 81.10/81.33 Instantiate: Xy0:=x0:fofType
% 81.10/81.33 Found x40 as proof of (cP x0)
% 81.10/81.33 Found x21:(cP Xy)
% 81.10/81.33 Instantiate: Xy0:=Xy:fofType
% 81.10/81.33 Found x21 as proof of (cP Xy0)
% 81.10/81.33 Found x41:(cP Xy0)
% 81.10/81.33 Instantiate: Xy0:=x0:fofType
% 81.10/81.33 Found x41 as proof of (cP x0)
% 81.10/81.33 Found x22:(cP Xy)
% 81.10/81.33 Found x22 as proof of (cP Xy0)
% 81.10/81.33 Found x41:(cP Xy0)
% 81.10/81.33 Instantiate: Xy:=Xy0:fofType
% 81.10/81.33 Found x41 as proof of (cP Xy)
% 81.10/81.33 Found x30:(cP x0)
% 81.10/81.33 Instantiate: Xy0:=x0:fofType
% 81.10/81.33 Found x30 as proof of (cP Xy0)
% 81.10/81.33 Found x41:(cP Xy0)
% 81.10/81.33 Instantiate: Xy0:=x0:fofType
% 81.10/81.33 Found x41 as proof of (cP x0)
% 81.10/81.33 Found x21:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x21 as proof of (cP x0)
% 81.10/81.33 Found x30:(cP x0)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x30 as proof of (cP Xy)
% 81.10/81.33 Found x21:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x21 as proof of (cP x0)
% 81.10/81.33 Found x50:(cP x0)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x50 as proof of (cP Xy)
% 81.10/81.33 Found x50:(cP x0)
% 81.10/81.33 Found x50 as proof of (cP x0)
% 81.10/81.33 Found x30:(cP x0)
% 81.10/81.33 Found x30 as proof of (cP x0)
% 81.10/81.33 Found x50:(cP x0)
% 81.10/81.33 Instantiate: Xy0:=x0:fofType
% 81.10/81.33 Found x50 as proof of (cP Xy0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy0:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy0)
% 81.10/81.33 Found x20:=(x2 x0):(cP x0)
% 81.10/81.33 Found (x2 x0) as proof of (cP x0)
% 81.10/81.33 Found (x2 x0) as proof of (cP x0)
% 81.10/81.33 Found x40:=(x4 x30):(cP Xy0)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found x40:=(x4 x30):(cP Xy0)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found x40:=(x4 x30):(cP Xy0)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x30) as proof of (cP Xy1)
% 81.10/81.33 Found x40:=(x4 x50):(cP Xy0)
% 81.10/81.33 Found (x4 x50) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x50) as proof of (cP Xy1)
% 81.10/81.33 Found (x4 x50) as proof of (cP Xy1)
% 81.10/81.33 Found x20:=(x2 x50):(cP Xy)
% 81.10/81.33 Found (x2 x50) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x50) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x50) as proof of (cP Xy1)
% 81.10/81.33 Found x20:=(x2 x30):(cP Xy)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found x20:=(x2 x30):(cP Xy)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found x20:=(x2 x30):(cP Xy)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy1)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x20 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy0:=Xy:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy0)
% 81.10/81.33 Found x22:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x22 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy0:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy0)
% 81.10/81.33 Found x20:=(x2 x30):(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy0:fofType
% 81.10/81.33 Found (x2 x30) as proof of (cP Xy0)
% 81.10/81.33 Found x21:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x21 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x20 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy1:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy1)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Found x20 as proof of (cP Xy1)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x20 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=x0:fofType
% 81.10/81.33 Found x20 as proof of (cP x0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy0:=Xy:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy0)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy1:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy1)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Found x20 as proof of (cP Xy1)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Found x20 as proof of (cP Xy1)
% 81.10/81.33 Found x20:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy1:fofType
% 81.10/81.33 Found x20 as proof of (cP Xy1)
% 81.10/81.33 Found x41:(cP Xy0)
% 81.10/81.33 Found x41 as proof of (cP Xy1)
% 81.10/81.33 Found x22:(cP Xy)
% 81.10/81.33 Instantiate: Xy:=Xy0:fofType
% 81.10/81.33 Found x22 as proof of (cP Xy0)
% 81.10/81.33 Found x41:(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found x41 as proof of (cP Xy1)
% 82.11/82.34 Found x21:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found x21 as proof of (cP Xy1)
% 82.11/82.34 Found x21:(cP Xy)
% 82.11/82.34 Found x21 as proof of (cP Xy1)
% 82.11/82.34 Found x40:(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found x40 as proof of (cP Xy1)
% 82.11/82.34 Found x40:(cP Xy0)
% 82.11/82.34 Found x40 as proof of (cP Xy1)
% 82.11/82.34 Found x20:(cP Xy)
% 82.11/82.34 Found x20 as proof of (cP Xy1)
% 82.11/82.34 Found x20 as proof of (cP Xy1)
% 82.11/82.34 Found x20:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found x20 as proof of (cP Xy1)
% 82.11/82.34 Found x20 as proof of (cP Xy1)
% 82.11/82.34 Found x30:=(x3 x40):(cP Xy0)
% 82.11/82.34 Found (x3 x40) as proof of (cP Xy)
% 82.11/82.34 Found (x3 x40) as proof of (cP Xy)
% 82.11/82.34 Found (x3 x40) as proof of (cP Xy)
% 82.11/82.34 Found x30:=(x3 x60):(cP Xy0)
% 82.11/82.34 Found (x3 x60) as proof of (cP Xy)
% 82.11/82.34 Found (x3 x60) as proof of (cP Xy)
% 82.11/82.34 Found (x3 x60) as proof of (cP Xy)
% 82.11/82.34 Found x50:=(x5 x60):(cP Xy00)
% 82.11/82.34 Found (x5 x60) as proof of (cP Xy)
% 82.11/82.34 Found (x5 x60) as proof of (cP Xy)
% 82.11/82.34 Found (x5 x60) as proof of (cP Xy)
% 82.11/82.34 Found x50:=(x5 x40):(cP Xy00)
% 82.11/82.34 Found (x5 x40) as proof of (cP Xy)
% 82.11/82.34 Found (x5 x40) as proof of (cP Xy)
% 82.11/82.34 Found (x5 x40) as proof of (cP Xy)
% 82.11/82.34 Found x40:(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found x40 as proof of (cP Xy1)
% 82.11/82.34 Found x40 as proof of (cP Xy1)
% 82.11/82.34 Found x20:(cP Xy)
% 82.11/82.34 Found x20 as proof of (cP Xy0)
% 82.11/82.34 Found x40:(cP Xy0)
% 82.11/82.34 Found x40 as proof of (cP Xy1)
% 82.11/82.34 Found x40 as proof of (cP Xy1)
% 82.11/82.34 Found x8:(cP x7)
% 82.11/82.34 Instantiate: Xy:=x7:fofType
% 82.11/82.34 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 82.11/82.34 Found x20:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found x20 as proof of (cP Xy0)
% 82.11/82.34 Found x8:(cP x7)
% 82.11/82.34 Instantiate: Xy0:=x7:fofType
% 82.11/82.34 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 82.11/82.34 Found x30:=(x3 x60):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy:fofType
% 82.11/82.34 Found (x3 x60) as proof of (cP Xy)
% 82.11/82.34 Found (x3 x60) as proof of (cP Xy)
% 82.11/82.34 Found x30:=(x3 x40):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy:fofType
% 82.11/82.34 Found (x3 x40) as proof of (cP Xy)
% 82.11/82.34 Found (x3 x40) as proof of (cP Xy)
% 82.11/82.34 Found x50:=(x5 x60):(cP Xy00)
% 82.11/82.34 Instantiate: Xy00:=Xy:fofType
% 82.11/82.34 Found (x5 x60) as proof of (cP Xy)
% 82.11/82.34 Found (x5 x60) as proof of (cP Xy)
% 82.11/82.34 Found x50:=(x5 x40):(cP Xy00)
% 82.11/82.34 Instantiate: Xy00:=Xy:fofType
% 82.11/82.34 Found (x5 x40) as proof of (cP Xy)
% 82.11/82.34 Found (x5 x40) as proof of (cP Xy)
% 82.11/82.34 Found x22:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found x22 as proof of (cP Xy0)
% 82.11/82.34 Found x20:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found x20 as proof of (cP Xy0)
% 82.11/82.34 Found x31:(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=x1:fofType
% 82.11/82.34 Found x31 as proof of (cP x1)
% 82.11/82.34 Found x20:=(x2 x30):(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found (x2 x30) as proof of (cP Xy0)
% 82.11/82.34 Found x20:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found x20 as proof of (cP Xy0)
% 82.11/82.34 Found x31:(cP x0)
% 82.11/82.34 Instantiate: Xy0:=x0:fofType
% 82.11/82.34 Found x31 as proof of (cP Xy0)
% 82.11/82.34 Found x31:(cP x0)
% 82.11/82.34 Instantiate: Xy:=x0:fofType
% 82.11/82.34 Found x31 as proof of (cP Xy)
% 82.11/82.34 Found x22:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found x22 as proof of (cP Xy0)
% 82.11/82.34 Found x21:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=x0:fofType
% 82.11/82.34 Found x21 as proof of (cP x0)
% 82.11/82.34 Found x21:(cP Xy)
% 82.11/82.34 Instantiate: Xy0:=Xy:fofType
% 82.11/82.34 Found x21 as proof of (cP Xy0)
% 82.11/82.34 Found x21:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=x0:fofType
% 82.11/82.34 Found x21 as proof of (cP x0)
% 82.11/82.34 Found x31:(cP x0)
% 82.11/82.34 Instantiate: Xy:=x0:fofType
% 82.11/82.34 Found x31 as proof of (cP Xy)
% 82.11/82.34 Found x40:=(x4 x31):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found (x4 x31) as proof of (cP Xy1)
% 82.11/82.34 Found x20:=(x2 x31):(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found (x2 x31) as proof of (cP Xy1)
% 82.11/82.34 Found x20:=(x2 x50):(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found (x2 x50) as proof of (cP Xy1)
% 82.11/82.34 Found x40:=(x4 x30):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found (x4 x30) as proof of (cP Xy1)
% 82.11/82.34 Found x20:=(x2 x30):(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found (x2 x30) as proof of (cP Xy1)
% 82.11/82.34 Found x40:=(x4 x51):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found (x4 x51) as proof of (cP Xy1)
% 82.11/82.34 Found x20:=(x2 x51):(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found (x2 x51) as proof of (cP Xy1)
% 82.11/82.34 Found x22:(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy0:fofType
% 82.11/82.34 Found x22 as proof of (cP Xy0)
% 82.11/82.34 Found x40:=(x4 x50):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found (x4 x50) as proof of (cP Xy1)
% 82.11/82.34 Found (x4 x50) as proof of (cP Xy1)
% 82.11/82.34 Found x20:=(x2 x50):(cP Xy)
% 82.11/82.34 Instantiate: Xy:=Xy1:fofType
% 82.11/82.34 Found (x2 x50) as proof of (cP Xy1)
% 82.11/82.34 Found (x2 x50) as proof of (cP Xy1)
% 82.11/82.34 Found x40:=(x4 x31):(cP Xy0)
% 82.11/82.34 Instantiate: Xy0:=Xy1:fofType
% 82.11/82.34 Found (x4 x31) as proof of (cP Xy1)
% 82.69/82.97 Found (x4 x31) as proof of (cP Xy1)
% 82.69/82.97 Found x20:=(x2 x31):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found (x2 x31) as proof of (cP Xy1)
% 82.69/82.97 Found (x2 x31) as proof of (cP Xy1)
% 82.69/82.97 Found x40:=(x4 x50):(cP Xy0)
% 82.69/82.97 Instantiate: Xy0:=Xy1:fofType
% 82.69/82.97 Found (x4 x50) as proof of (cP Xy1)
% 82.69/82.97 Found x21:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=x0:fofType
% 82.69/82.97 Found x21 as proof of (cP x0)
% 82.69/82.97 Found x21:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=x0:fofType
% 82.69/82.97 Found x21 as proof of (cP x0)
% 82.69/82.97 Found x40:=(x4 Xy):(cP Xy)
% 82.69/82.97 Found (x4 Xy) as proof of (cP Xy)
% 82.69/82.97 Found (x4 Xy) as proof of (cP Xy)
% 82.69/82.97 Found x40:=(x4 x0):(cP x0)
% 82.69/82.97 Found (x4 x0) as proof of (cP x0)
% 82.69/82.97 Found (x4 x0) as proof of (cP x0)
% 82.69/82.97 Found x50:=(x5 x60):(cP Xy0)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy0)
% 82.69/82.97 Found x30:(cP x0)
% 82.69/82.97 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 82.69/82.97 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 82.69/82.97 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 82.69/82.97 Found x6:(cP x5)
% 82.69/82.97 Instantiate: Xy:=x5:fofType
% 82.69/82.97 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 82.69/82.97 Found x50:=(x5 x60):(cP Xy0)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy0)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20:=(x2 x30):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found (x2 x30) as proof of (cP Xy1)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x40:(cP Xy0)
% 82.69/82.97 Instantiate: Xy0:=Xy1:fofType
% 82.69/82.97 Found x40 as proof of (cP Xy1)
% 82.69/82.97 Found x40 as proof of (cP Xy1)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x41:(cP Xy0)
% 82.69/82.97 Instantiate: Xy0:=Xy1:fofType
% 82.69/82.97 Found x41 as proof of (cP Xy1)
% 82.69/82.97 Found x22:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found x22 as proof of (cP Xy0)
% 82.69/82.97 Found x21:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x21 as proof of (cP Xy1)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20 as proof of (cP Xy1)
% 82.69/82.97 Found x20:=(x2 x30):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found (x2 x30) as proof of (cP Xy0)
% 82.69/82.97 Found x20:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found x20 as proof of (cP Xy0)
% 82.69/82.97 Found x20:=(x2 x30):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy1:fofType
% 82.69/82.97 Found (x2 x30) as proof of (cP Xy1)
% 82.69/82.97 Found (x2 x30) as proof of (cP Xy1)
% 82.69/82.97 Found x20:=(x2 x61):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found (x2 x61) as proof of (cP Xy0)
% 82.69/82.97 Found (x2 x61) as proof of (cP Xy0)
% 82.69/82.97 Found x50:=(x5 x31):(cP Xy1)
% 82.69/82.97 Instantiate: Xy1:=Xy0:fofType
% 82.69/82.97 Found (x5 x31) as proof of (cP Xy0)
% 82.69/82.97 Found (x5 x31) as proof of (cP Xy0)
% 82.69/82.97 Found x20:=(x2 x60):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found (x2 x60) as proof of (cP Xy0)
% 82.69/82.97 Found (x2 x60) as proof of (cP Xy0)
% 82.69/82.97 Found x20:=(x2 x31):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found (x2 x31) as proof of (cP Xy0)
% 82.69/82.97 Found (x2 x31) as proof of (cP Xy0)
% 82.69/82.97 Found x50:=(x5 x60):(cP Xy1)
% 82.69/82.97 Instantiate: Xy1:=Xy0:fofType
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy0)
% 82.69/82.97 Found (x5 x60) as proof of (cP Xy0)
% 82.69/82.97 Found x20:=(x2 x30):(cP Xy)
% 82.69/82.97 Instantiate: Xy:=Xy0:fofType
% 82.69/82.97 Found (x2 x30) as proof of (cP Xy0)
% 82.69/82.97 Found (x2 x30) as proof of (cP Xy0)
% 82.69/82.97 Found x50:=(x5 x30):(cP Xy1)
% 82.69/82.97 Instantiate: Xy1:=Xy0:fofType
% 82.69/82.97 Found (x5 x30) as proof of (cP Xy0)
% 82.69/82.97 Found (x5 x30) as proof of (cP Xy0)
% 82.69/82.97 Found x50:=(x5 x61):(cP Xy1)
% 82.69/82.97 Instantiate: Xy1:=Xy0:fofType
% 82.69/82.97 Found (x5 x61) as proof of (cP Xy0)
% 82.69/82.97 Found (x5 x61) as proof of (cP Xy0)
% 82.69/82.97 Found x22:(cP Xy)
% 82.69/82.97 Instantiate: Xy:=x0:fofType
% 82.69/82.97 Found x22 as proof of (cP x0)
% 82.69/82.97 Found x50:(cP x0)
% 82.69/82.97 Instantiate: Xy:=x0:fofType
% 82.69/82.97 Found x50 as proof of (cP Xy)
% 82.69/82.97 Found x50:(cP x0)
% 82.69/82.97 Instantiate: Xy0:=x0:fofType
% 82.69/82.97 Found x50 as proof of (cP Xy0)
% 82.69/82.97 Found x31:(cP x0)
% 82.69/82.97 Instantiate: Xy:=x0:fofType
% 82.69/82.97 Found x31 as proof of (cP Xy)
% 82.69/82.97 Found x31:(cP x0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x31 as proof of (cP Xy0)
% 84.19/84.48 Found x40:=(x4 x0):(cP x0)
% 84.19/84.48 Found (x4 x0) as proof of (cP x0)
% 84.19/84.48 Found (x4 x0) as proof of (cP x0)
% 84.19/84.48 Found x40:(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x40 as proof of (cP x0)
% 84.19/84.48 Found x30:=(x3 x41):(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=Xy:fofType
% 84.19/84.48 Found (x3 x41) as proof of (cP Xy)
% 84.19/84.48 Found (x3 x41) as proof of (cP Xy)
% 84.19/84.48 Found x6:(cP x5)
% 84.19/84.48 Instantiate: Xy:=x5:fofType
% 84.19/84.48 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 84.19/84.48 Found x40:=(x4 Xy):(cP Xy)
% 84.19/84.48 Found (x4 Xy) as proof of (cP Xy)
% 84.19/84.48 Found (x4 Xy) as proof of (cP Xy)
% 84.19/84.48 Found x40:(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x40 as proof of (cP x0)
% 84.19/84.48 Found x50:(cP x0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x50 as proof of (cP Xy0)
% 84.19/84.48 Found x21:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x21 as proof of (cP x0)
% 84.19/84.48 Found x20:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x20 as proof of (cP x0)
% 84.19/84.48 Found x21:(cP Xy)
% 84.19/84.48 Instantiate: Xy0:=Xy:fofType
% 84.19/84.48 Found x21 as proof of (cP Xy0)
% 84.19/84.48 Found x50:(cP x0)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x50 as proof of (cP Xy)
% 84.19/84.48 Found x50:(cP x0)
% 84.19/84.48 Found x50 as proof of (cP x0)
% 84.19/84.48 Found x50:(cP x0)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x50 as proof of (cP Xy)
% 84.19/84.48 Found x20:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x20 as proof of (cP x0)
% 84.19/84.48 Found x21:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x21 as proof of (cP x0)
% 84.19/84.48 Found x50:(cP x0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x50 as proof of (cP Xy0)
% 84.19/84.48 Found x30:(cP x0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x30 as proof of (cP Xy0)
% 84.19/84.48 Found x30:(cP x0)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x30 as proof of (cP Xy)
% 84.19/84.48 Found x30:=(x3 x41):(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=Xy:fofType
% 84.19/84.48 Found (x3 x41) as proof of (cP Xy)
% 84.19/84.48 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 84.19/84.48 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 84.19/84.48 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x41)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 84.19/84.48 Found x41:(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x41 as proof of (cP x0)
% 84.19/84.48 Found x41:(cP Xy0)
% 84.19/84.48 Instantiate: Xy:=Xy0:fofType
% 84.19/84.48 Found x41 as proof of (cP Xy)
% 84.19/84.48 Found x41:(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x41 as proof of (cP x0)
% 84.19/84.48 Found x30:(cP x0)
% 84.19/84.48 Found x30 as proof of (cP x0)
% 84.19/84.48 Found x20:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x20 as proof of (cP x0)
% 84.19/84.48 Found x20:(cP Xy)
% 84.19/84.48 Instantiate: Xy0:=Xy:fofType
% 84.19/84.48 Found x20 as proof of (cP Xy0)
% 84.19/84.48 Found x30:(cP x0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x30 as proof of (cP Xy0)
% 84.19/84.48 Found x30:(cP x0)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x30 as proof of (cP Xy)
% 84.19/84.48 Found x20:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x20 as proof of (cP x0)
% 84.19/84.48 Found x40:(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x40 as proof of (cP x0)
% 84.19/84.48 Found x40:(cP Xy0)
% 84.19/84.48 Instantiate: Xy0:=x0:fofType
% 84.19/84.48 Found x40 as proof of (cP x0)
% 84.19/84.48 Found x40:(cP Xy0)
% 84.19/84.48 Instantiate: Xy:=Xy0:fofType
% 84.19/84.48 Found x40 as proof of (cP Xy)
% 84.19/84.48 Found x22:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=x0:fofType
% 84.19/84.48 Found x22 as proof of (cP x0)
% 84.19/84.48 Found x20:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=Xy0:fofType
% 84.19/84.48 Found x20 as proof of (cP Xy0)
% 84.19/84.48 Found x20:=(x2 x30):(cP Xy)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found x23:(cP Xy)
% 84.19/84.48 Instantiate: Xy:=Xy0:fofType
% 84.19/84.48 Found x23 as proof of (cP Xy0)
% 84.19/84.48 Found x40:=(x4 x30):(cP Xy0)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found x20:=(x2 x30):(cP Xy)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found x20:=(x2 x50):(cP Xy)
% 84.19/84.48 Found (x2 x50) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x50) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x50) as proof of (cP Xy1)
% 84.19/84.48 Found x40:=(x4 x50):(cP Xy0)
% 84.19/84.48 Found (x4 x50) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x50) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x50) as proof of (cP Xy1)
% 84.19/84.48 Found x20:=(x2 x30):(cP Xy)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x2 x30) as proof of (cP Xy1)
% 84.19/84.48 Found x40:=(x4 x30):(cP Xy0)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found x40:=(x4 x30):(cP Xy0)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found (x4 x30) as proof of (cP Xy1)
% 84.19/84.48 Found x22:(cP Xy)
% 85.26/85.50 Found x22 as proof of (cP Xy0)
% 85.26/85.50 Found x22:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=x0:fofType
% 85.26/85.50 Found x22 as proof of (cP x0)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy0:=Xy:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy0)
% 85.26/85.50 Found x40:(cP x1)
% 85.26/85.50 Found (fun (x6:(cP x5))=> x40) as proof of (cP x1)
% 85.26/85.50 Found (fun (x5:fofType) (x6:(cP x5))=> x40) as proof of ((cP x5)->(cP x1))
% 85.26/85.50 Found (fun (x5:fofType) (x6:(cP x5))=> x40) as proof of (forall (x:fofType), ((cP x)->(cP x1)))
% 85.26/85.50 Found x6:(cP x5)
% 85.26/85.50 Instantiate: Xy0:=x5:fofType
% 85.26/85.50 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 85.26/85.50 Found x50:(cP x0)
% 85.26/85.50 Instantiate: Xy:=x0:fofType
% 85.26/85.50 Found x50 as proof of (cP Xy)
% 85.26/85.50 Found x30:(cP x0)
% 85.26/85.50 Instantiate: Xy0:=x0:fofType
% 85.26/85.50 Found x30 as proof of (cP Xy0)
% 85.26/85.50 Found x40:(cP Xy0)
% 85.26/85.50 Instantiate: Xy:=Xy0:fofType
% 85.26/85.50 Found x40 as proof of (cP Xy)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=x0:fofType
% 85.26/85.50 Found x20 as proof of (cP x0)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x50:=(x5 x40):(cP Xy00)
% 85.26/85.50 Found (x5 x40) as proof of (cP Xy)
% 85.26/85.50 Found (x5 x40) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 85.26/85.50 Found x21:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=x0:fofType
% 85.26/85.50 Found x21 as proof of (cP x0)
% 85.26/85.50 Found x30:=(x3 x40):(cP Xy0)
% 85.26/85.50 Found (x3 x40) as proof of (cP Xy)
% 85.26/85.50 Found (x3 x40) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x30:=(x3 x40):(cP Xy0)
% 85.26/85.50 Instantiate: Xy0:=Xy:fofType
% 85.26/85.50 Found (x3 x40) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x50:=(x5 x40):(cP Xy00)
% 85.26/85.50 Instantiate: Xy00:=Xy:fofType
% 85.26/85.50 Found (x5 x40) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 85.26/85.50 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 85.26/85.50 Found x21:(cP Xy)
% 85.26/85.50 Found x21 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x21:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x21 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x41:(cP Xy0)
% 85.26/85.50 Found x41 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x41:(cP Xy0)
% 85.26/85.50 Instantiate: Xy0:=Xy1:fofType
% 85.26/85.50 Found x41 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x40:(cP Xy0)
% 85.26/85.50 Instantiate: Xy0:=Xy1:fofType
% 85.26/85.50 Found x40 as proof of (cP Xy1)
% 85.26/85.50 Found x40:(cP Xy0)
% 85.26/85.50 Found x40 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x41:(cP Xy0)
% 85.26/85.50 Instantiate: Xy0:=Xy1:fofType
% 85.26/85.50 Found x41 as proof of (cP Xy1)
% 85.26/85.50 Found x21:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x21 as proof of (cP Xy1)
% 85.26/85.50 Found x40:(cP Xy0)
% 85.26/85.50 Instantiate: Xy0:=Xy1:fofType
% 85.26/85.50 Found x40 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=Xy1:fofType
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x20:(cP Xy)
% 85.26/85.50 Found x20 as proof of (cP Xy1)
% 85.26/85.50 Found x41:(cP Xy0)
% 85.26/85.50 Found x41 as proof of (cP Xy1)
% 85.26/85.50 Found x30:=(x3 x40):(cP Xy0)
% 85.26/85.50 Found (x3 x40) as proof of (cP Xy)
% 85.26/85.50 Found (x3 x40) as proof of (cP Xy)
% 85.26/85.50 Found (x3 x40) as proof of (cP Xy)
% 85.26/85.50 Found x20:=(x2 x30):(cP Xy)
% 85.26/85.50 Found (x2 x30) as proof of (cP Xy0)
% 85.26/85.50 Found (x2 x30) as proof of (cP Xy0)
% 85.26/85.50 Found (x2 x30) as proof of (cP Xy0)
% 85.26/85.50 Found x21:(cP Xy)
% 85.26/85.50 Found x21 as proof of (cP Xy1)
% 85.26/85.50 Found x40:(cP Xy0)
% 85.26/85.50 Found x40 as proof of (cP Xy1)
% 85.26/85.50 Found x32:(cP x0)
% 85.26/85.50 Instantiate: Xy:=x0:fofType
% 85.26/85.50 Found x32 as proof of (cP Xy)
% 85.26/85.50 Found x22:(cP Xy)
% 85.26/85.50 Instantiate: Xy:=x0:fofType
% 85.26/85.50 Found x22 as proof of (cP x0)
% 85.26/85.50 Found x30:(cP x0)
% 86.09/86.33 Found (fun (x7:(cP x6))=> x30) as proof of (cP x0)
% 86.09/86.33 Found (fun (x7:(cP x6))=> x30) as proof of ((cP x6)->(cP x0))
% 86.09/86.33 Found x30:(cP x0)
% 86.09/86.33 Found (fun (x7:(cP x6))=> x30) as proof of (cP x0)
% 86.09/86.33 Found (fun (x7:(cP x6))=> x30) as proof of ((cP x6)->(cP x0))
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=x0:fofType
% 86.09/86.33 Found x20 as proof of (cP x0)
% 86.09/86.33 Found x41:(cP Xy0)
% 86.09/86.33 Instantiate: Xy:=Xy0:fofType
% 86.09/86.33 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (cP Xy)
% 86.09/86.33 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 86.09/86.33 Found x22:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy0:fofType
% 86.09/86.33 Found x22 as proof of (cP Xy0)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy0:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy0)
% 86.09/86.33 Found x40:=(x4 x50):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x50) as proof of (cP Xy1)
% 86.09/86.33 Found x7:(cP x6)
% 86.09/86.33 Instantiate: Xy:=x6:fofType
% 86.09/86.33 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 86.09/86.33 Found (fun (x7:(cP x6))=> x7) as proof of ((cP x6)->(cP Xy))
% 86.09/86.33 Found x40:=(x4 x31):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x31) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x31):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x31) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x50):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x50) as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 86.09/86.33 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 86.09/86.33 Found x7:(cP x6)
% 86.09/86.33 Instantiate: Xy:=x6:fofType
% 86.09/86.33 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 86.09/86.33 Found (fun (x7:(cP x6))=> x7) as proof of ((cP x6)->(cP Xy))
% 86.09/86.33 Found x20:=(x2 x30):(cP Xy)
% 86.09/86.33 Found (x2 x30) as proof of (cP Xy0)
% 86.09/86.33 Found (x2 x30) as proof of (cP Xy0)
% 86.09/86.33 Found (x2 x30) as proof of (cP Xy0)
% 86.09/86.33 Found x40:=(x4 x50):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x50) as proof of (cP Xy1)
% 86.09/86.33 Found (x4 x50) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x50):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x50) as proof of (cP Xy1)
% 86.09/86.33 Found (x2 x50) as proof of (cP Xy1)
% 86.09/86.33 Found x40:=(x4 x31):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x31) as proof of (cP Xy1)
% 86.09/86.33 Found (x4 x31) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x31):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x31) as proof of (cP Xy1)
% 86.09/86.33 Found (x2 x31) as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x40:(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found x40 as proof of (cP Xy1)
% 86.09/86.33 Found x40:=(x4 x30):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x30) as proof of (cP Xy1)
% 86.09/86.33 Found x41:(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found x41 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x40:=(x4 x31):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x31) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x31):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x31) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x30):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x30) as proof of (cP Xy1)
% 86.09/86.33 Found x40:=(x4 x50):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x50) as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x50):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x50) as proof of (cP Xy1)
% 86.09/86.33 Found x40:=(x4 x51):(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.09/86.33 Found (x4 x51) as proof of (cP Xy1)
% 86.09/86.33 Found x21:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x21 as proof of (cP Xy1)
% 86.09/86.33 Found x20:=(x2 x51):(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found (x2 x51) as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x21:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x21 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x20:(cP Xy)
% 86.09/86.33 Instantiate: Xy:=Xy1:fofType
% 86.09/86.33 Found x20 as proof of (cP Xy1)
% 86.09/86.33 Found x41:(cP Xy0)
% 86.09/86.33 Instantiate: Xy0:=Xy1:fofType
% 86.31/86.56 Found x41 as proof of (cP Xy1)
% 86.31/86.56 Found x40:(cP Xy0)
% 86.31/86.56 Instantiate: Xy0:=Xy1:fofType
% 86.31/86.56 Found x40 as proof of (cP Xy1)
% 86.31/86.56 Found x40 as proof of (cP Xy1)
% 86.31/86.56 Found x20:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found x20 as proof of (cP Xy1)
% 86.31/86.56 Found x20:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found x20 as proof of (cP Xy1)
% 86.31/86.56 Found x20:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found x20 as proof of (cP Xy1)
% 86.31/86.56 Found x22:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found x22 as proof of (cP Xy0)
% 86.31/86.56 Found x20:=(x2 x0):(cP x0)
% 86.31/86.56 Found (x2 x0) as proof of (cP x0)
% 86.31/86.56 Found (x2 x0) as proof of (cP x0)
% 86.31/86.56 Found x20:=(x2 Xy):(cP Xy)
% 86.31/86.56 Found (x2 Xy) as proof of (cP Xy)
% 86.31/86.56 Found (x2 Xy) as proof of (cP Xy)
% 86.31/86.56 Found x20:=(x2 x61):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x61) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x50:=(x5 x61):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x61) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x20:=(x2 x31):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x31) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x20:=(x2 x30):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x30) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x50:=(x5 x30):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x30) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x20:=(x2 x60):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x60) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x50:=(x5 x60):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x60) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x50:=(x5 x31):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x31) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 86.31/86.56 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 86.31/86.56 Found x20:=(x2 x30):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found (x2 x30) as proof of (cP Xy1)
% 86.31/86.56 Found x30:(cP x0)
% 86.31/86.56 Instantiate: Xy:=x0:fofType
% 86.31/86.56 Found x30 as proof of (cP Xy)
% 86.31/86.56 Found x20:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=x0:fofType
% 86.31/86.56 Found x20 as proof of (cP x0)
% 86.31/86.56 Found x20:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found x20 as proof of (cP Xy1)
% 86.31/86.56 Found x20 as proof of (cP Xy1)
% 86.31/86.56 Found x41:(cP Xy0)
% 86.31/86.56 Instantiate: Xy0:=Xy1:fofType
% 86.31/86.56 Found x41 as proof of (cP Xy1)
% 86.31/86.56 Found x21:(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found x21 as proof of (cP Xy1)
% 86.31/86.56 Found x20:=(x2 x30):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy1:fofType
% 86.31/86.56 Found (x2 x30) as proof of (cP Xy1)
% 86.31/86.56 Found x20:=(x2 x61):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x61) as proof of (cP Xy0)
% 86.31/86.56 Found (x2 x61) as proof of (cP Xy0)
% 86.31/86.56 Found x50:=(x5 x61):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x61) as proof of (cP Xy0)
% 86.31/86.56 Found (x5 x61) as proof of (cP Xy0)
% 86.31/86.56 Found x20:=(x2 x60):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x60) as proof of (cP Xy0)
% 86.31/86.56 Found (x2 x60) as proof of (cP Xy0)
% 86.31/86.56 Found x50:=(x5 x60):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x60) as proof of (cP Xy0)
% 86.31/86.56 Found (x5 x60) as proof of (cP Xy0)
% 86.31/86.56 Found x20:=(x2 x31):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x31) as proof of (cP Xy0)
% 86.31/86.56 Found (x2 x31) as proof of (cP Xy0)
% 86.31/86.56 Found x50:=(x5 x31):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x31) as proof of (cP Xy0)
% 86.31/86.56 Found (x5 x31) as proof of (cP Xy0)
% 86.31/86.56 Found x50:=(x5 x30):(cP Xy1)
% 86.31/86.56 Instantiate: Xy1:=Xy0:fofType
% 86.31/86.56 Found (x5 x30) as proof of (cP Xy0)
% 86.31/86.56 Found (x5 x30) as proof of (cP Xy0)
% 86.31/86.56 Found x20:=(x2 x30):(cP Xy)
% 86.31/86.56 Instantiate: Xy:=Xy0:fofType
% 86.31/86.56 Found (x2 x30) as proof of (cP Xy0)
% 86.31/86.56 Found (x2 x30) as proof of (cP Xy0)
% 86.31/86.56 Found x31:(cP x0)
% 86.31/86.56 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x31 as proof of (cP Xy0)
% 87.17/87.46 Found x31:(cP x0)
% 87.17/87.46 Instantiate: Xy:=x0:fofType
% 87.17/87.46 Found x31 as proof of (cP Xy)
% 87.17/87.46 Found x20:(cP Xy)
% 87.17/87.46 Instantiate: Xy:=Xy1:fofType
% 87.17/87.46 Found x20 as proof of (cP Xy1)
% 87.17/87.46 Found x50:(cP x0)
% 87.17/87.46 Instantiate: Xy:=x0:fofType
% 87.17/87.46 Found x50 as proof of (cP Xy)
% 87.17/87.46 Found x50:(cP x0)
% 87.17/87.46 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x50 as proof of (cP Xy0)
% 87.17/87.46 Found x20:(cP Xy)
% 87.17/87.46 Found x20 as proof of (cP Xy0)
% 87.17/87.46 Found x31:(cP x0)
% 87.17/87.46 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x31 as proof of (cP Xy0)
% 87.17/87.46 Found x31:(cP x0)
% 87.17/87.46 Instantiate: Xy:=x0:fofType
% 87.17/87.46 Found x31 as proof of (cP Xy)
% 87.17/87.46 Found x40:(cP Xy0)
% 87.17/87.46 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x40 as proof of (cP x0)
% 87.17/87.46 Found x40:(cP Xy0)
% 87.17/87.46 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x40 as proof of (cP x0)
% 87.17/87.46 Found x40:(cP Xy0)
% 87.17/87.46 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x40 as proof of (cP x0)
% 87.17/87.46 Found x40:(cP Xy0)
% 87.17/87.46 Instantiate: Xy0:=x0:fofType
% 87.17/87.46 Found x40 as proof of (cP x0)
% 87.17/87.46 Found x20:(cP Xy)
% 87.17/87.46 Instantiate: Xy:=x0:fofType
% 87.17/87.46 Found x20 as proof of (cP x0)
% 87.17/87.46 Found x30:=(x3 x41):(cP Xy0)
% 87.17/87.46 Instantiate: Xy0:=Xy:fofType
% 87.17/87.46 Found (x3 x41) as proof of (cP Xy)
% 87.17/87.47 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 87.17/87.47 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 87.17/87.47 Found x21:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x21 as proof of (cP x0)
% 87.17/87.47 Found x20:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x20 as proof of (cP x0)
% 87.17/87.47 Found x21:(cP Xy)
% 87.17/87.47 Instantiate: Xy0:=Xy:fofType
% 87.17/87.47 Found x21 as proof of (cP Xy0)
% 87.17/87.47 Found x21:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x21 as proof of (cP x0)
% 87.17/87.47 Found x21:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x21 as proof of (cP x0)
% 87.17/87.47 Found x50:(cP x0)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x50 as proof of (cP Xy)
% 87.17/87.47 Found x30:(cP x0)
% 87.17/87.47 Found x30 as proof of (cP x0)
% 87.17/87.47 Found x21:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x21 as proof of (cP x0)
% 87.17/87.47 Found x21:(cP Xy)
% 87.17/87.47 Instantiate: Xy0:=Xy:fofType
% 87.17/87.47 Found x21 as proof of (cP Xy0)
% 87.17/87.47 Found x30:=(x3 x41):(cP Xy0)
% 87.17/87.47 Instantiate: Xy0:=Xy:fofType
% 87.17/87.47 Found (x3 x41) as proof of (cP Xy)
% 87.17/87.47 Found (x3 x41) as proof of (cP Xy)
% 87.17/87.47 Found x50:(cP x0)
% 87.17/87.47 Found x50 as proof of (cP x0)
% 87.17/87.47 Found x40:=(x4 x30):(cP Xy0)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x40:=(x4 x30):(cP Xy0)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x20:=(x2 x30):(cP Xy)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x20:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=Xy1:fofType
% 87.17/87.47 Found x20 as proof of (cP Xy1)
% 87.17/87.47 Found x40:=(x4 x30):(cP Xy0)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x20:=(x2 x30):(cP Xy)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x20:=(x2 x50):(cP Xy)
% 87.17/87.47 Found (x2 x50) as proof of (cP Xy1)
% 87.17/87.47 Found (x2 x50) as proof of (cP Xy1)
% 87.17/87.47 Found x20:=(x2 x30):(cP Xy)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x40:=(x4 x50):(cP Xy0)
% 87.17/87.47 Found (x4 x50) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x50) as proof of (cP Xy1)
% 87.17/87.47 Found x30:(cP x0)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x30 as proof of (cP Xy)
% 87.17/87.47 Found x20:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=Xy1:fofType
% 87.17/87.47 Found x20 as proof of (cP Xy1)
% 87.17/87.47 Found x50:(cP x0)
% 87.17/87.47 Instantiate: Xy0:=x0:fofType
% 87.17/87.47 Found x50 as proof of (cP Xy0)
% 87.17/87.47 Found x20:=(x2 x30):(cP Xy)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy0)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy0)
% 87.17/87.47 Found (x2 x30) as proof of (cP Xy0)
% 87.17/87.47 Found x30:(cP x0)
% 87.17/87.47 Instantiate: Xy0:=x0:fofType
% 87.17/87.47 Found x30 as proof of (cP Xy0)
% 87.17/87.47 Found x22:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=x0:fofType
% 87.17/87.47 Found x22 as proof of (cP x0)
% 87.17/87.47 Found x41:(cP Xy0)
% 87.17/87.47 Instantiate: Xy0:=x0:fofType
% 87.17/87.47 Found x41 as proof of (cP x0)
% 87.17/87.47 Found x41:(cP Xy0)
% 87.17/87.47 Instantiate: Xy0:=x0:fofType
% 87.17/87.47 Found x41 as proof of (cP x0)
% 87.17/87.47 Found x41:(cP Xy0)
% 87.17/87.47 Instantiate: Xy:=Xy0:fofType
% 87.17/87.47 Found x41 as proof of (cP Xy)
% 87.17/87.47 Found x40:(cP Xy0)
% 87.17/87.47 Instantiate: Xy0:=Xy1:fofType
% 87.17/87.47 Found x40 as proof of (cP Xy1)
% 87.17/87.47 Found x40:=(x4 x30):(cP Xy0)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x30) as proof of (cP Xy1)
% 87.17/87.47 Found x20:(cP Xy)
% 87.17/87.47 Instantiate: Xy:=Xy1:fofType
% 87.17/87.47 Found x20 as proof of (cP Xy1)
% 87.17/87.47 Found x40:=(x4 x50):(cP Xy0)
% 87.17/87.47 Found (x4 x50) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x50) as proof of (cP Xy1)
% 87.17/87.47 Found (x4 x50) as proof of (cP Xy1)
% 87.17/87.47 Found x40:=(x4 x30):(cP Xy0)
% 87.69/88.01 Found (x4 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x4 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x4 x30) as proof of (cP Xy1)
% 87.69/88.01 Found x20:=(x2 x50):(cP Xy)
% 87.69/88.01 Found (x2 x50) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x50) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x50) as proof of (cP Xy1)
% 87.69/88.01 Found x40:=(x4 x30):(cP Xy0)
% 87.69/88.01 Found (x4 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x4 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x4 x30) as proof of (cP Xy1)
% 87.69/88.01 Found x20:=(x2 x30):(cP Xy)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found x20:=(x2 x30):(cP Xy)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found x41:(cP Xy0)
% 87.69/88.01 Instantiate: Xy0:=Xy1:fofType
% 87.69/88.01 Found x41 as proof of (cP Xy1)
% 87.69/88.01 Found x20:=(x2 x30):(cP Xy)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found (x2 x30) as proof of (cP Xy1)
% 87.69/88.01 Found x21:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy1:fofType
% 87.69/88.01 Found x21 as proof of (cP Xy1)
% 87.69/88.01 Found x40:=(x4 x0):(cP x0)
% 87.69/88.01 Found (x4 x0) as proof of (cP x0)
% 87.69/88.01 Found (x4 x0) as proof of (cP x0)
% 87.69/88.01 Found x40:=(x4 Xy):(cP Xy)
% 87.69/88.01 Found (x4 Xy) as proof of (cP Xy)
% 87.69/88.01 Found (x4 Xy) as proof of (cP Xy)
% 87.69/88.01 Found x22:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=x0:fofType
% 87.69/88.01 Found x22 as proof of (cP x0)
% 87.69/88.01 Found x22:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=x0:fofType
% 87.69/88.01 Found x22 as proof of (cP x0)
% 87.69/88.01 Found x22:(cP Xy)
% 87.69/88.01 Found x22 as proof of (cP Xy0)
% 87.69/88.01 Found x30:(cP x0)
% 87.69/88.01 Instantiate: Xy:=x0:fofType
% 87.69/88.01 Found x30 as proof of (cP Xy)
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=x0:fofType
% 87.69/88.01 Found x20 as proof of (cP x0)
% 87.69/88.01 Found x23:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy0:fofType
% 87.69/88.01 Found x23 as proof of (cP Xy0)
% 87.69/88.01 Found x20:=(x2 Xy):(cP Xy)
% 87.69/88.01 Found (x2 Xy) as proof of (cP Xy)
% 87.69/88.01 Found (x2 Xy) as proof of (cP Xy)
% 87.69/88.01 Found x20:=(x2 x0):(cP x0)
% 87.69/88.01 Found (x2 x0) as proof of (cP x0)
% 87.69/88.01 Found (x2 x0) as proof of (cP x0)
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Found x20 as proof of (cP Xy0)
% 87.69/88.01 Found x50:=(x5 x40):(cP Xy00)
% 87.69/88.01 Found (x5 x40) as proof of (cP Xy)
% 87.69/88.01 Found (x5 x40) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy1:fofType
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 87.69/88.01 Found x30:=(x3 x40):(cP Xy0)
% 87.69/88.01 Found (x3 x40) as proof of (cP Xy)
% 87.69/88.01 Found (x3 x40) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 87.69/88.01 Found x30:=(x3 x40):(cP Xy0)
% 87.69/88.01 Instantiate: Xy0:=Xy:fofType
% 87.69/88.01 Found (x3 x40) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy1:fofType
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 87.69/88.01 Found x50:=(x5 x40):(cP Xy00)
% 87.69/88.01 Instantiate: Xy00:=Xy:fofType
% 87.69/88.01 Found (x5 x40) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 87.69/88.01 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy1:fofType
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 87.69/88.01 Found x21:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy1:fofType
% 87.69/88.01 Found x21 as proof of (cP Xy1)
% 87.69/88.01 Found x21:(cP Xy)
% 87.69/88.01 Found x21 as proof of (cP Xy1)
% 87.69/88.01 Found x20:(cP Xy)
% 87.69/88.01 Instantiate: Xy:=Xy1:fofType
% 87.69/88.01 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x20:=(x2 x30):(cP Xy)
% 88.85/89.18 Found (x2 x30) as proof of (cP Xy0)
% 88.85/89.18 Found (x2 x30) as proof of (cP Xy0)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x21:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found x21 as proof of (cP Xy1)
% 88.85/89.18 Found x21:(cP Xy)
% 88.85/89.18 Found x21 as proof of (cP Xy1)
% 88.85/89.18 Found x40:=(x4 Xy):(cP Xy)
% 88.85/89.18 Found (x4 Xy) as proof of (cP Xy)
% 88.85/89.18 Found (x4 Xy) as proof of (cP Xy)
% 88.85/89.18 Found x40:(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=x0:fofType
% 88.85/89.18 Found x40 as proof of (cP x0)
% 88.85/89.18 Found x40:(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=x0:fofType
% 88.85/89.18 Found x40 as proof of (cP x0)
% 88.85/89.18 Found x40:(cP Xy0)
% 88.85/89.18 Found x40 as proof of (cP Xy1)
% 88.85/89.18 Found x40:(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found x40 as proof of (cP Xy1)
% 88.85/89.18 Found x41:(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found x41 as proof of (cP Xy1)
% 88.85/89.18 Found x30:=(x3 x40):(cP Xy0)
% 88.85/89.18 Found (x3 x40) as proof of (cP Xy)
% 88.85/89.18 Found (x3 x40) as proof of (cP Xy)
% 88.85/89.18 Found (x3 x40) as proof of (cP Xy)
% 88.85/89.18 Found x40:=(x4 x0):(cP x0)
% 88.85/89.18 Found (x4 x0) as proof of (cP x0)
% 88.85/89.18 Found (x4 x0) as proof of (cP x0)
% 88.85/89.18 Found x41:(cP Xy0)
% 88.85/89.18 Found x41 as proof of (cP Xy1)
% 88.85/89.18 Found x21:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=x0:fofType
% 88.85/89.18 Found x21 as proof of (cP x0)
% 88.85/89.18 Found x21:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=x0:fofType
% 88.85/89.18 Found x21 as proof of (cP x0)
% 88.85/89.18 Found x20:=(x2 x30):(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found (x2 x30) as proof of (cP Xy0)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy0)
% 88.85/89.18 Found x22:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=x0:fofType
% 88.85/89.18 Found x22 as proof of (cP x0)
% 88.85/89.18 Found x30:(cP x0)
% 88.85/89.18 Instantiate: Xy:=x0:fofType
% 88.85/89.18 Found x30 as proof of (cP Xy)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=x0:fofType
% 88.85/89.18 Found x20 as proof of (cP x0)
% 88.85/89.18 Found x30:(cP x0)
% 88.85/89.18 Found (fun (x7:(cP x6))=> x30) as proof of (cP x0)
% 88.85/89.18 Found (fun (x6:fofType) (x7:(cP x6))=> x30) as proof of ((cP x6)->(cP x0))
% 88.85/89.18 Found (fun (x6:fofType) (x7:(cP x6))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy0)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Found x20 as proof of (cP Xy0)
% 88.85/89.18 Found x30:(cP x0)
% 88.85/89.18 Found (fun (x7:(cP x6))=> x30) as proof of (cP x0)
% 88.85/89.18 Found (fun (x6:fofType) (x7:(cP x6))=> x30) as proof of ((cP x6)->(cP x0))
% 88.85/89.18 Found (fun (x6:fofType) (x7:(cP x6))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 88.85/89.18 Found x40:=(x4 x31):(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found (x4 x31) as proof of (cP Xy1)
% 88.85/89.18 Found x20:=(x2 x31):(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found (x2 x31) as proof of (cP Xy1)
% 88.85/89.18 Found x40:=(x4 x50):(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found (x4 x50) as proof of (cP Xy1)
% 88.85/89.18 Found x20:=(x2 x50):(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found (x2 x50) as proof of (cP Xy1)
% 88.85/89.18 Found x22:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found x22 as proof of (cP Xy0)
% 88.85/89.18 Found x20:=(x2 x30):(cP Xy)
% 88.85/89.18 Found (x2 x30) as proof of (cP Xy0)
% 88.85/89.18 Found (x2 x30) as proof of (cP Xy0)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy0)
% 88.85/89.18 Found x20:=(x2 x31):(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found (x2 x31) as proof of (cP Xy1)
% 88.85/89.18 Found x7:(cP x6)
% 88.85/89.18 Instantiate: Xy:=x6:fofType
% 88.85/89.18 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x40:=(x4 x31):(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found (x4 x31) as proof of (cP Xy1)
% 88.85/89.18 Found x40:=(x4 x50):(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found (x4 x50) as proof of (cP Xy1)
% 88.85/89.18 Found x20:=(x2 x50):(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found (x2 x50) as proof of (cP Xy1)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x7:(cP x6)
% 88.85/89.18 Instantiate: Xy:=x6:fofType
% 88.85/89.18 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 88.85/89.18 Found x20:=(x2 x30):(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found (x2 x30) as proof of (cP Xy0)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy0:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy0)
% 88.85/89.18 Found x21:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found x21 as proof of (cP Xy1)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 88.85/89.18 Found x20 as proof of (cP Xy1)
% 88.85/89.18 Found x41:(cP Xy0)
% 88.85/89.18 Instantiate: Xy0:=Xy1:fofType
% 88.85/89.18 Found x41 as proof of (cP Xy1)
% 88.85/89.18 Found x20:(cP Xy)
% 88.85/89.18 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x40:=(x4 x0):(cP x0)
% 89.24/89.49 Found (x4 x0) as proof of (cP x0)
% 89.24/89.49 Found (x4 x0) as proof of (cP x0)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x40:(cP Xy0)
% 89.24/89.49 Instantiate: Xy0:=Xy1:fofType
% 89.24/89.49 Found x40 as proof of (cP Xy1)
% 89.24/89.49 Found x40:=(x4 Xy):(cP Xy)
% 89.24/89.49 Found (x4 Xy) as proof of (cP Xy)
% 89.24/89.49 Found (x4 Xy) as proof of (cP Xy)
% 89.24/89.49 Found x21:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x21 as proof of (cP Xy1)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x40:(cP Xy0)
% 89.24/89.49 Instantiate: Xy0:=Xy1:fofType
% 89.24/89.49 Found x40 as proof of (cP Xy1)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=x0:fofType
% 89.24/89.49 Found x20 as proof of (cP x0)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=x0:fofType
% 89.24/89.49 Found x20 as proof of (cP x0)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy0:=Xy:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy0)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x21:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x21 as proof of (cP Xy1)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x20:=(x2 x61):(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy0:fofType
% 89.24/89.49 Found (x2 x61) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x50:=(x5 x61):(cP Xy1)
% 89.24/89.49 Instantiate: Xy1:=Xy0:fofType
% 89.24/89.49 Found (x5 x61) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x20:=(x2 x60):(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy0:fofType
% 89.24/89.49 Found (x2 x60) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x50:=(x5 x60):(cP Xy1)
% 89.24/89.49 Instantiate: Xy1:=Xy0:fofType
% 89.24/89.49 Found (x5 x60) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x20:=(x2 x30):(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy0:fofType
% 89.24/89.49 Found (x2 x30) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x50:=(x5 x31):(cP Xy1)
% 89.24/89.49 Instantiate: Xy1:=Xy0:fofType
% 89.24/89.49 Found (x5 x31) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x50:=(x5 x30):(cP Xy1)
% 89.24/89.49 Instantiate: Xy1:=Xy0:fofType
% 89.24/89.49 Found (x5 x30) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x20:=(x2 x31):(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy0:fofType
% 89.24/89.49 Found (x2 x31) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x22:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy0:fofType
% 89.24/89.49 Found x22 as proof of (cP Xy0)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x20 as proof of (cP Xy1)
% 89.24/89.49 Found x21:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found x21 as proof of (cP Xy1)
% 89.24/89.49 Found x20:=(x2 x30):(cP Xy)
% 89.24/89.49 Instantiate: Xy:=Xy1:fofType
% 89.24/89.49 Found (x2 x30) as proof of (cP Xy1)
% 89.24/89.49 Found x8:(cP x7)
% 89.24/89.49 Instantiate: Xy0:=x7:fofType
% 89.24/89.49 Found x8 as proof of (cP Xy0)
% 89.24/89.49 Found (x5 x8) as proof of (cP x0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 89.24/89.49 Found x8:(cP x7)
% 89.24/89.49 Instantiate: Xy:=x7:fofType
% 89.24/89.49 Found x8 as proof of (cP Xy)
% 89.24/89.49 Found (x3 x8) as proof of (cP x0)
% 89.24/89.49 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 89.24/89.49 Found x20:(cP Xy)
% 89.24/89.49 Instantiate: Xy:=x0:fofType
% 89.24/89.49 Found x20 as proof of (cP x0)
% 89.24/89.49 Found x30:(cP x0)
% 89.24/89.49 Instantiate: Xy:=x0:fofType
% 89.24/89.49 Found x30 as proof of (cP Xy)
% 89.24/89.49 Found x31:(cP x0)
% 89.24/89.49 Instantiate: Xy:=x0:fofType
% 89.24/89.49 Found x31 as proof of (cP Xy)
% 89.24/89.49 Found x31:(cP x0)
% 89.24/89.49 Instantiate: Xy0:=x0:fofType
% 89.24/89.49 Found x31 as proof of (cP Xy0)
% 89.24/89.49 Found x41:(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=Xy1:fofType
% 90.97/91.20 Found x41 as proof of (cP Xy1)
% 90.97/91.20 Found x41:(cP x1)
% 90.97/91.20 Instantiate: Xy0:=x1:fofType
% 90.97/91.20 Found x41 as proof of (cP Xy0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x40:(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=x0:fofType
% 90.97/91.20 Found x40 as proof of (cP x0)
% 90.97/91.20 Found x40:(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=x0:fofType
% 90.97/91.20 Found x40 as proof of (cP x0)
% 90.97/91.20 Found x20:=(x2 x30):(cP Xy)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy0)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy0)
% 90.97/91.20 Found x21:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x21 as proof of (cP x0)
% 90.97/91.20 Found x21:(cP Xy)
% 90.97/91.20 Instantiate: Xy0:=Xy:fofType
% 90.97/91.20 Found x21 as proof of (cP Xy0)
% 90.97/91.20 Found x21:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x21 as proof of (cP x0)
% 90.97/91.20 Found x32:(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=Xy:fofType
% 90.97/91.20 Found (fun (x4:((cP Xy0)->(cP x1)))=> x32) as proof of (cP Xy)
% 90.97/91.20 Found (fun (x4:((cP Xy0)->(cP x1)))=> x32) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy1:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy1)
% 90.97/91.20 Found x40:=(x4 x30):(cP Xy0)
% 90.97/91.20 Found (x4 x30) as proof of (cP Xy1)
% 90.97/91.20 Found (x4 x30) as proof of (cP Xy1)
% 90.97/91.20 Found x20:=(x2 x50):(cP Xy)
% 90.97/91.20 Found (x2 x50) as proof of (cP Xy1)
% 90.97/91.20 Found (x2 x50) as proof of (cP Xy1)
% 90.97/91.20 Found x40:=(x4 x30):(cP Xy0)
% 90.97/91.20 Found (x4 x30) as proof of (cP Xy1)
% 90.97/91.20 Found (x4 x30) as proof of (cP Xy1)
% 90.97/91.20 Found x40:=(x4 x30):(cP Xy0)
% 90.97/91.20 Found (x4 x30) as proof of (cP Xy1)
% 90.97/91.20 Found (x4 x30) as proof of (cP Xy1)
% 90.97/91.20 Found x22:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x22 as proof of (cP x0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy1:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy1)
% 90.97/91.20 Found x20:=(x2 x30):(cP Xy)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy1)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy1)
% 90.97/91.20 Found x20:=(x2 x30):(cP Xy)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy1)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy1)
% 90.97/91.20 Found x20:=(x2 x30):(cP Xy)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy1)
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy1)
% 90.97/91.20 Found x40:=(x4 x50):(cP Xy0)
% 90.97/91.20 Found (x4 x50) as proof of (cP Xy1)
% 90.97/91.20 Found (x4 x50) as proof of (cP Xy1)
% 90.97/91.20 Found x22:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x22 as proof of (cP x0)
% 90.97/91.20 Found x32:(cP x0)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x32 as proof of (cP Xy)
% 90.97/91.20 Found x30:=(x3 x41):(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=Xy:fofType
% 90.97/91.20 Found (x3 x41) as proof of (cP Xy)
% 90.97/91.20 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 90.97/91.20 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 90.97/91.20 Found x21:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy1:fofType
% 90.97/91.20 Found x21 as proof of (cP Xy1)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy1:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy1)
% 90.97/91.20 Found x6:(cP x5)
% 90.97/91.20 Instantiate: Xy0:=x5:fofType
% 90.97/91.20 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 90.97/91.20 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy0))
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x40:(cP x1)
% 90.97/91.20 Found (fun (x6:(cP x5))=> x40) as proof of (cP x1)
% 90.97/91.20 Found (fun (x6:(cP x5))=> x40) as proof of ((cP x5)->(cP x1))
% 90.97/91.20 Found x20:=(x2 x30):(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found (x2 x30) as proof of (cP Xy0)
% 90.97/91.20 Found x41:(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=Xy1:fofType
% 90.97/91.20 Found x41 as proof of (cP Xy1)
% 90.97/91.20 Found x40:(cP Xy0)
% 90.97/91.20 Instantiate: Xy0:=Xy1:fofType
% 90.97/91.20 Found x40 as proof of (cP Xy1)
% 90.97/91.20 Found x22:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x22 as proof of (cP x0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x20 as proof of (cP x0)
% 90.97/91.20 Found x22:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x22 as proof of (cP x0)
% 90.97/91.20 Found x22:(cP Xy)
% 90.97/91.20 Found x22 as proof of (cP Xy0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x23:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found x23 as proof of (cP Xy0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x22:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=x0:fofType
% 90.97/91.20 Found x22 as proof of (cP x0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy1:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy1)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Instantiate: Xy:=Xy0:fofType
% 90.97/91.20 Found x20 as proof of (cP Xy0)
% 90.97/91.20 Found x20:(cP Xy)
% 90.97/91.20 Found x20 as proof of (cP Xy1)
% 90.97/91.20 Found x60:(cP x1)
% 90.97/91.20 Found x60 as proof of (cP x1)
% 90.97/91.20 Found (x5 x60) as proof of (cP Xy)
% 90.97/91.20 Found (x5 x60) as proof of (cP Xy)
% 90.97/91.20 Found (x5 x60) as proof of (cP Xy)
% 91.56/91.81 Found x40:(cP x1)
% 91.56/91.81 Found x40 as proof of (cP x1)
% 91.56/91.81 Found (x3 x40) as proof of (cP Xy)
% 91.56/91.81 Found (x3 x40) as proof of (cP Xy)
% 91.56/91.81 Found (x3 x40) as proof of (cP Xy)
% 91.56/91.81 Found x60:(cP x1)
% 91.56/91.81 Found x60 as proof of (cP x1)
% 91.56/91.81 Found (x3 x60) as proof of (cP Xy)
% 91.56/91.81 Found (x3 x60) as proof of (cP Xy)
% 91.56/91.81 Found (x3 x60) as proof of (cP Xy)
% 91.56/91.81 Found x40:(cP x1)
% 91.56/91.81 Found x40 as proof of (cP x1)
% 91.56/91.81 Found (x5 x40) as proof of (cP Xy)
% 91.56/91.81 Found (x5 x40) as proof of (cP Xy)
% 91.56/91.81 Found (x5 x40) as proof of (cP Xy)
% 91.56/91.81 Found x21:(cP Xy)
% 91.56/91.81 Instantiate: Xy:=Xy1:fofType
% 91.56/91.81 Found x21 as proof of (cP Xy1)
% 91.56/91.81 Found x21:(cP Xy)
% 91.56/91.81 Found x21 as proof of (cP Xy1)
% 91.56/91.81 Found x20:(cP Xy)
% 91.56/91.81 Instantiate: Xy:=Xy1:fofType
% 91.56/91.81 Found x20 as proof of (cP Xy1)
% 91.56/91.81 Found x20:(cP Xy)
% 91.56/91.81 Found x20 as proof of (cP Xy1)
% 91.56/91.81 Found x40:(cP Xy0)
% 91.56/91.81 Instantiate: Xy0:=x0:fofType
% 91.56/91.81 Found x40 as proof of (cP x0)
% 91.56/91.81 Found x40:(cP Xy0)
% 91.56/91.81 Instantiate: Xy0:=x0:fofType
% 91.56/91.81 Found x40 as proof of (cP x0)
% 91.56/91.81 Found x21:(cP Xy)
% 91.56/91.81 Instantiate: Xy:=x0:fofType
% 91.56/91.81 Found x21 as proof of (cP x0)
% 91.56/91.81 Found x20:=(x2 x30):(cP Xy)
% 91.56/91.81 Found (x2 x30) as proof of (cP Xy0)
% 91.56/91.81 Found (x2 x30) as proof of (cP Xy0)
% 91.56/91.81 Found x21:(cP Xy)
% 91.56/91.81 Instantiate: Xy:=x0:fofType
% 91.56/91.81 Found x21 as proof of (cP x0)
% 91.56/91.81 Found x30:=(x3 x40):(cP Xy0)
% 91.56/91.81 Found (x3 x40) as proof of (cP Xy)
% 91.56/91.81 Found (x3 x40) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 91.56/91.81 Found x21:(cP Xy)
% 91.56/91.81 Instantiate: Xy:=x0:fofType
% 91.56/91.81 Found x21 as proof of (cP x0)
% 91.56/91.81 Found x21:(cP Xy)
% 91.56/91.81 Instantiate: Xy:=x0:fofType
% 91.56/91.81 Found x21 as proof of (cP x0)
% 91.56/91.81 Found x2:(cP x1)
% 91.56/91.81 Instantiate: Xy0:=x1:fofType
% 91.56/91.81 Found x2 as proof of (cP Xy0)
% 91.56/91.81 Found (x6 x2) as proof of (cP x3)
% 91.56/91.81 Found (x6 x2) as proof of (cP x3)
% 91.56/91.81 Found (x7 (x6 x2)) as proof of (cP Xy)
% 91.56/91.81 Found (x7 (x6 x2)) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x8:((cP Xy00)->(cP x3)))=> (x7 (x6 x2))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x7 (x6 x2))) as proof of (((cP Xy00)->(cP x3))->(cP Xy))
% 91.56/91.81 Found (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x7 (x6 x2))) as proof of (((cP x3)->(cP Xy00))->(((cP Xy00)->(cP x3))->(cP Xy)))
% 91.56/91.81 Found (and_rect10 (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x7 (x6 x2)))) as proof of (cP Xy)
% 91.56/91.81 Found ((and_rect1 (cP Xy)) (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x7 (x6 x2)))) as proof of (cP Xy)
% 91.56/91.81 Found (((fun (P:Type) (x7:(((cP x3)->(cP Xy00))->(((cP Xy00)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy00))) ((cP Xy00)->(cP x3))) P) x7) x41)) (cP Xy)) (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x7 (x6 x2)))) as proof of (cP Xy)
% 91.56/91.81 Found (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 91.56/91.81 Found (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))) as proof of (((cP x3)->(cP Xy0))->(((cP Xy0)->(cP x3))->(cP Xy)))
% 91.56/91.81 Found (and_rect00 (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))) as proof of (cP Xy)
% 91.56/91.81 Found ((and_rect0 (cP Xy)) (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))) as proof of (cP Xy)
% 91.56/91.81 Found (((fun (P:Type) (x5:(((cP x3)->(cP Xy0))->(((cP Xy0)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3))) P) x5) x40)) (cP Xy)) (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))) as proof of (cP Xy)
% 91.56/91.81 Found (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))) as proof of ((forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3))))->(cP Xy))
% 91.56/91.81 Found (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))) as proof of (forall (x:fofType), ((forall (Xy0:fofType), ((and ((cP x)->(cP Xy0))) ((cP Xy0)->(cP x))))->(cP Xy)))
% 91.56/91.81 Found (ex_ind10 (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))))) as proof of (cP Xy)
% 91.56/91.81 Found ((ex_ind1 (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))))) as proof of (cP Xy)
% 91.56/91.81 Found (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((and ((cP x)->(cP Xy))) ((cP Xy)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((and ((cP x)->(cP Xy))) ((cP Xy)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))))) as proof of (cP Xy)
% 91.56/91.81 Found (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((and ((cP x)->(cP Xy))) ((cP Xy)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))))) as proof of ((cP x1)->(cP Xy))
% 91.56/91.81 Found (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((and ((cP x)->(cP Xy))) ((cP Xy)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 91.56/91.81 Found (ex_ind00 (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((and ((cP x)->(cP Xy))) ((cP Xy)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((and ((cP Xx)->(cP Xy))) ((cP Xy)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))))))) as proof of (cP Xy)
% 91.58/91.82 Found ((ex_ind0 (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((and ((cP x)->(cP Xy0))) ((cP Xy0)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((and ((cP Xx)->(cP Xy0))) ((cP Xy0)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))))))) as proof of (cP Xy)
% 91.58/91.82 Found (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((and ((cP x)->(cP Xy0))) ((cP Xy0)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((and ((cP Xx)->(cP Xy0))) ((cP Xy0)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2)))))))))) as proof of (cP Xy)
% 91.58/91.82 Found (fun (Xy:fofType)=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((and ((cP x)->(cP Xy0))) ((cP Xy0)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((and ((cP Xx)->(cP Xy0))) ((cP Xy0)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))))))) as proof of (cP Xy)
% 91.58/91.82 Found (fun (x0:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy:fofType)=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((and ((cP x)->(cP Xy0))) ((cP Xy0)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((and ((cP Xx)->(cP Xy0))) ((cP Xy0)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))))))) as proof of (forall (Xy:fofType), (cP Xy))
% 91.58/91.82 Found (fun (x0:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy:fofType)=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((and ((cP x)->(cP Xy0))) ((cP Xy0)->(cP x))))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((and ((cP Xx)->(cP Xy0))) ((cP Xy0)->(cP Xx)))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((and ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3)))))=> (((fun (P:Type) (x5:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x5) (x4 x1))) (cP Xy)) (fun (x5:((cP x3)->(cP x1))) (x6:((cP x1)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x7) (x4 Xy))) (cP Xy)) (fun (x7:((cP x3)->(cP Xy))) (x8:((cP Xy)->(cP x3)))=> (x7 (x6 x2))))))))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy1:fofType
% 92.46/92.70 Found x20 as proof of (cP Xy1)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Found x20 as proof of (cP Xy1)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Found x20 as proof of (cP Xy1)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy1:fofType
% 92.46/92.70 Found x20 as proof of (cP Xy1)
% 92.46/92.70 Found x50:=(x5 x31):(cP Xy1)
% 92.46/92.70 Found (x5 x31) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x31) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x31) as proof of (cP Xy0)
% 92.46/92.70 Found x50:=(x5 x61):(cP Xy1)
% 92.46/92.70 Found (x5 x61) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x61) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x61) as proof of (cP Xy0)
% 92.46/92.70 Found x50:=(x5 x60):(cP Xy1)
% 92.46/92.70 Found (x5 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x60) as proof of (cP Xy0)
% 92.46/92.70 Found x20:=(x2 x61):(cP Xy)
% 92.46/92.70 Found (x2 x61) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x61) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x61) as proof of (cP Xy0)
% 92.46/92.70 Found x50:=(x5 x60):(cP Xy1)
% 92.46/92.70 Found (x5 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x5 x60) as proof of (cP Xy0)
% 92.46/92.70 Found x20:=(x2 x60):(cP Xy)
% 92.46/92.70 Found (x2 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x60) as proof of (cP Xy0)
% 92.46/92.70 Found x20:=(x2 x60):(cP Xy)
% 92.46/92.70 Found (x2 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x60) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x60) as proof of (cP Xy0)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy0:fofType
% 92.46/92.70 Found x20 as proof of (cP Xy0)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=x0:fofType
% 92.46/92.70 Found x20 as proof of (cP x0)
% 92.46/92.70 Found x20:=(x2 x30):(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy0:fofType
% 92.46/92.70 Found (x2 x30) as proof of (cP Xy0)
% 92.46/92.70 Found x20:=(x2 x31):(cP Xy)
% 92.46/92.70 Found (x2 x31) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x31) as proof of (cP Xy0)
% 92.46/92.70 Found (x2 x31) as proof of (cP Xy0)
% 92.46/92.70 Found x22:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=x0:fofType
% 92.46/92.70 Found x22 as proof of (cP x0)
% 92.46/92.70 Found x8:(cP x7)
% 92.46/92.70 Instantiate: Xy0:=x7:fofType
% 92.46/92.70 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 92.46/92.70 Found x8:(cP x7)
% 92.46/92.70 Instantiate: Xy:=x7:fofType
% 92.46/92.70 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 92.46/92.70 Found x30:(cP x0)
% 92.46/92.70 Instantiate: Xy:=x0:fofType
% 92.46/92.70 Found x30 as proof of (cP Xy)
% 92.46/92.70 Found x50:(cP x0)
% 92.46/92.70 Instantiate: Xy:=x0:fofType
% 92.46/92.70 Found x50 as proof of (cP Xy)
% 92.46/92.70 Found x41:(cP Xy0)
% 92.46/92.70 Found x41 as proof of (cP Xy1)
% 92.46/92.70 Found x40:(cP Xy0)
% 92.46/92.70 Found x40 as proof of (cP Xy1)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy0:fofType
% 92.46/92.70 Found x20 as proof of (cP Xy0)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Found x20 as proof of (cP Xy0)
% 92.46/92.70 Found x50:(cP x0)
% 92.46/92.70 Instantiate: Xy0:=x0:fofType
% 92.46/92.70 Found x50 as proof of (cP Xy0)
% 92.46/92.70 Found x21:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy1:fofType
% 92.46/92.70 Found x21 as proof of (cP Xy1)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Found x20 as proof of (cP Xy1)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=Xy1:fofType
% 92.46/92.70 Found x20 as proof of (cP Xy1)
% 92.46/92.70 Found x21:(cP Xy)
% 92.46/92.70 Found x21 as proof of (cP Xy1)
% 92.46/92.70 Found x41:(cP Xy0)
% 92.46/92.70 Instantiate: Xy0:=Xy1:fofType
% 92.46/92.70 Found x41 as proof of (cP Xy1)
% 92.46/92.70 Found x40:(cP Xy0)
% 92.46/92.70 Instantiate: Xy0:=Xy1:fofType
% 92.46/92.70 Found x40 as proof of (cP Xy1)
% 92.46/92.70 Found x30:(cP x0)
% 92.46/92.70 Instantiate: Xy0:=x0:fofType
% 92.46/92.70 Found x30 as proof of (cP Xy0)
% 92.46/92.70 Found x40:(cP Xy0)
% 92.46/92.70 Instantiate: Xy:=Xy0:fofType
% 92.46/92.70 Found x40 as proof of (cP Xy)
% 92.46/92.70 Found x20:(cP Xy)
% 92.46/92.70 Instantiate: Xy:=x0:fofType
% 92.46/92.70 Found x20 as proof of (cP x0)
% 92.46/92.70 Found x31:(cP x0)
% 92.46/92.70 Instantiate: Xy:=x0:fofType
% 92.46/92.70 Found x31 as proof of (cP Xy)
% 92.46/92.70 Found x60:(cP x0)
% 92.46/92.70 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 93.28/93.53 Found x40:(cP Xy0)
% 93.28/93.53 Instantiate: Xy0:=x0:fofType
% 93.28/93.53 Found x40 as proof of (cP x0)
% 93.28/93.53 Found x40:(cP Xy0)
% 93.28/93.53 Instantiate: Xy0:=x0:fofType
% 93.28/93.53 Found x40 as proof of (cP x0)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy0:=Xy:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy0)
% 93.28/93.53 Found x30:(cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 93.28/93.53 Found x30:(cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=x0:fofType
% 93.28/93.53 Found x20 as proof of (cP x0)
% 93.28/93.53 Found x60:(cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 93.28/93.53 Found x21:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=x0:fofType
% 93.28/93.53 Found x21 as proof of (cP x0)
% 93.28/93.53 Found x50:(cP x0)
% 93.28/93.53 Instantiate: Xy:=x0:fofType
% 93.28/93.53 Found x50 as proof of (cP Xy)
% 93.28/93.53 Found x22:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy0:fofType
% 93.28/93.53 Found x22 as proof of (cP Xy0)
% 93.28/93.53 Found x40:=(x4 x50):(cP Xy0)
% 93.28/93.53 Instantiate: Xy0:=Xy1:fofType
% 93.28/93.53 Found (x4 x50) as proof of (cP Xy1)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy0:=Xy:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy0)
% 93.28/93.53 Found x20:=(x2 x31):(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found (x2 x31) as proof of (cP Xy1)
% 93.28/93.53 Found x40:=(x4 x31):(cP Xy0)
% 93.28/93.53 Instantiate: Xy0:=Xy1:fofType
% 93.28/93.53 Found (x4 x31) as proof of (cP Xy1)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy1)
% 93.28/93.53 Found x40:(cP Xy0)
% 93.28/93.53 Instantiate: Xy:=Xy0:fofType
% 93.28/93.53 Found x40 as proof of (cP Xy)
% 93.28/93.53 Found x30:(cP x0)
% 93.28/93.53 Instantiate: Xy0:=x0:fofType
% 93.28/93.53 Found x30 as proof of (cP Xy0)
% 93.28/93.53 Found x20:=(x2 x50):(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found (x2 x50) as proof of (cP Xy1)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy1)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy0:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy0)
% 93.28/93.53 Found x20:=(x2 x30):(cP Xy)
% 93.28/93.53 Found (x2 x30) as proof of (cP Xy0)
% 93.28/93.53 Found (x2 x30) as proof of (cP Xy0)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy0:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy0)
% 93.28/93.53 Found x21:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found x21 as proof of (cP Xy1)
% 93.28/93.53 Found x7:(cP x6)
% 93.28/93.53 Instantiate: Xy:=x6:fofType
% 93.28/93.53 Found (fun (x7:(cP x6))=> x7) as proof of (cP Xy)
% 93.28/93.53 Found x8:(cP x7)
% 93.28/93.53 Instantiate: Xy1:=x7:fofType
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy1))
% 93.28/93.53 Found x8:(cP x7)
% 93.28/93.53 Instantiate: Xy:=x7:fofType
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 93.28/93.53 Found x8:(cP x7)
% 93.28/93.53 Instantiate: Xy:=x7:fofType
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 93.28/93.53 Found x8:(cP x7)
% 93.28/93.53 Instantiate: Xy1:=x7:fofType
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy1))
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=x0:fofType
% 93.28/93.53 Found x20 as proof of (cP x0)
% 93.28/93.53 Found x21:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found x21 as proof of (cP Xy1)
% 93.28/93.53 Found x40:(cP Xy0)
% 93.28/93.53 Instantiate: Xy0:=Xy1:fofType
% 93.28/93.53 Found x40 as proof of (cP Xy1)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=x0:fofType
% 93.28/93.53 Found x20 as proof of (cP x0)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy1)
% 93.28/93.53 Found x8:(cP x7)
% 93.28/93.53 Instantiate: Xy1:=x7:fofType
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy1))
% 93.28/93.53 Found x8:(cP x7)
% 93.28/93.53 Instantiate: Xy:=x7:fofType
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 93.28/93.53 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy:=Xy1:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy1)
% 93.28/93.53 Found x20:(cP Xy)
% 93.28/93.53 Instantiate: Xy0:=Xy:fofType
% 93.28/93.53 Found x20 as proof of (cP Xy0)
% 93.28/93.53 Found x30:=(x3 x60):(cP Xy0)
% 93.28/93.53 Found (x3 x60) as proof of (cP Xy)
% 93.28/93.53 Found (x3 x60) as proof of (cP Xy)
% 93.28/93.53 Found (x3 x60) as proof of (cP Xy)
% 93.28/93.53 Found x50:=(x5 x40):(cP Xy00)
% 93.28/93.53 Found (x5 x40) as proof of (cP Xy)
% 93.28/93.53 Found (x5 x40) as proof of (cP Xy)
% 93.28/93.53 Found (x5 x40) as proof of (cP Xy)
% 93.28/93.53 Found x50:=(x5 x60):(cP Xy00)
% 93.28/93.53 Found (x5 x60) as proof of (cP Xy)
% 93.28/93.53 Found (x5 x60) as proof of (cP Xy)
% 93.28/93.53 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found x30:=(x3 x40):(cP Xy0)
% 93.44/93.69 Found (x3 x40) as proof of (cP Xy)
% 93.44/93.69 Found (x3 x40) as proof of (cP Xy)
% 93.44/93.69 Found (x3 x40) as proof of (cP Xy)
% 93.44/93.69 Found x50:=(x5 x60):(cP Xy0)
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found x50:=(x5 x60):(cP Xy0)
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy)
% 93.44/93.69 Found x21:(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy1:fofType
% 93.44/93.69 Found x21 as proof of (cP Xy1)
% 93.44/93.69 Found x20:(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy1:fofType
% 93.44/93.69 Found x20 as proof of (cP Xy1)
% 93.44/93.69 Found x20:=(x2 x30):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy0:fofType
% 93.44/93.69 Found (x2 x30) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x20:(cP Xy)
% 93.44/93.69 Instantiate: Xy:=x0:fofType
% 93.44/93.69 Found x20 as proof of (cP x0)
% 93.44/93.69 Found x22:(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy0:fofType
% 93.44/93.69 Found x22 as proof of (cP Xy0)
% 93.44/93.69 Found x20:=(x2 x61):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy0:fofType
% 93.44/93.69 Found (x2 x61) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x50:=(x5 x61):(cP Xy1)
% 93.44/93.69 Instantiate: Xy1:=Xy0:fofType
% 93.44/93.69 Found (x5 x61) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x50:=(x5 x60):(cP Xy1)
% 93.44/93.69 Instantiate: Xy1:=Xy0:fofType
% 93.44/93.69 Found (x5 x60) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x20:=(x2 x60):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy0:fofType
% 93.44/93.69 Found (x2 x60) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x50:=(x5 x31):(cP Xy1)
% 93.44/93.69 Instantiate: Xy1:=Xy0:fofType
% 93.44/93.69 Found (x5 x31) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x20:=(x2 x31):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy0:fofType
% 93.44/93.69 Found (x2 x31) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x50:=(x5 x30):(cP Xy1)
% 93.44/93.69 Instantiate: Xy1:=Xy0:fofType
% 93.44/93.69 Found (x5 x30) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 93.44/93.69 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 93.44/93.69 Found x20:(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy0:fofType
% 93.44/93.69 Found x20 as proof of (cP Xy0)
% 93.44/93.69 Found x40:=(x4 x30):(cP Xy0)
% 93.44/93.69 Instantiate: Xy0:=Xy1:fofType
% 93.44/93.69 Found (x4 x30) as proof of (cP Xy1)
% 93.44/93.69 Found x20:=(x2 x30):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy1:fofType
% 93.44/93.69 Found (x2 x30) as proof of (cP Xy1)
% 93.44/93.69 Found x40:=(x4 x30):(cP Xy0)
% 93.44/93.69 Instantiate: Xy0:=Xy1:fofType
% 93.44/93.69 Found (x4 x30) as proof of (cP Xy1)
% 93.44/93.69 Found x20:=(x2 x30):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy1:fofType
% 93.44/93.69 Found (x2 x30) as proof of (cP Xy1)
% 93.44/93.69 Found x40:=(x4 x30):(cP Xy0)
% 93.44/93.69 Instantiate: Xy0:=Xy1:fofType
% 93.44/93.69 Found (x4 x30) as proof of (cP Xy1)
% 93.44/93.69 Found x20:=(x2 x30):(cP Xy)
% 93.44/93.69 Instantiate: Xy:=Xy1:fofType
% 93.44/93.69 Found (x2 x30) as proof of (cP Xy1)
% 93.44/93.69 Found x40:=(x4 x51):(cP Xy0)
% 93.44/93.69 Instantiate: Xy0:=Xy1:fofType
% 94.26/94.53 Found (x4 x51) as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x51):(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found (x2 x51) as proof of (cP Xy1)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Found x20 as proof of (cP Xy0)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x31:(cP x0)
% 94.26/94.53 Instantiate: Xy:=x0:fofType
% 94.26/94.53 Found x31 as proof of (cP Xy)
% 94.26/94.53 Found x31:(cP x0)
% 94.26/94.53 Instantiate: Xy0:=x0:fofType
% 94.26/94.53 Found x31 as proof of (cP Xy0)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x22:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=x0:fofType
% 94.26/94.53 Found x22 as proof of (cP x0)
% 94.26/94.53 Found x21:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x21 as proof of (cP Xy1)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x21:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=x0:fofType
% 94.26/94.53 Found x21 as proof of (cP x0)
% 94.26/94.53 Found x21:(cP Xy)
% 94.26/94.53 Instantiate: Xy0:=Xy:fofType
% 94.26/94.53 Found x21 as proof of (cP Xy0)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy0)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy0)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy0:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy0)
% 94.26/94.53 Found x21:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=x0:fofType
% 94.26/94.53 Found x21 as proof of (cP x0)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x21:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x21 as proof of (cP Xy1)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x41:(cP Xy0)
% 94.26/94.53 Instantiate: Xy0:=Xy1:fofType
% 94.26/94.53 Found x41 as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x40:=(x4 x30):(cP Xy0)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x40:=(x4 x30):(cP Xy0)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x40:=(x4 x50):(cP Xy0)
% 94.26/94.53 Found (x4 x50) as proof of (cP Xy1)
% 94.26/94.53 Found (x4 x50) as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x50):(cP Xy)
% 94.26/94.53 Found (x2 x50) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x50) as proof of (cP Xy1)
% 94.26/94.53 Found x40:=(x4 x30):(cP Xy0)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x22:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=x0:fofType
% 94.26/94.53 Found x22 as proof of (cP x0)
% 94.26/94.53 Found x30:=(x3 x41):(cP Xy0)
% 94.26/94.53 Instantiate: Xy0:=Xy:fofType
% 94.26/94.53 Found (x3 x41) as proof of (cP Xy)
% 94.26/94.53 Found (fun (x6:(cP x5))=> (x3 x41)) as proof of (cP Xy)
% 94.26/94.53 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x41)) as proof of ((cP x5)->(cP Xy))
% 94.26/94.53 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x41)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 94.26/94.53 Found x30:(cP x0)
% 94.26/94.53 Found x30 as proof of (cP x0)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy0)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy0)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy0)
% 94.26/94.53 Found x22:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=x0:fofType
% 94.26/94.53 Found x22 as proof of (cP x0)
% 94.26/94.53 Found x40:(cP x1)
% 94.26/94.53 Found (fun (x6:(cP x5))=> x40) as proof of (cP x1)
% 94.26/94.53 Found (fun (x5:fofType) (x6:(cP x5))=> x40) as proof of ((cP x5)->(cP x1))
% 94.26/94.53 Found (fun (x5:fofType) (x6:(cP x5))=> x40) as proof of (forall (x:fofType), ((cP x)->(cP x1)))
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x6:(cP x5)
% 94.26/94.53 Instantiate: Xy0:=x5:fofType
% 94.26/94.53 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 94.26/94.53 Found x20:(cP Xy)
% 94.26/94.53 Instantiate: Xy:=Xy1:fofType
% 94.26/94.53 Found x20 as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x40:=(x4 x30):(cP Xy0)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x4 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.26/94.53 Found x20:=(x2 x30):(cP Xy)
% 94.26/94.53 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x20:=(x2 x50):(cP Xy)
% 94.47/94.74 Found (x2 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x50) as proof of (cP Xy1)
% 94.47/94.74 Found x40:=(x4 x50):(cP Xy0)
% 94.47/94.74 Found (x4 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x50) as proof of (cP Xy1)
% 94.47/94.74 Found x40:=(x4 x30):(cP Xy0)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x40:=(x4 x30):(cP Xy0)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x6:((cP Xy1)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x6:((cP Xy1)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x3:((cP Xy)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x3:((cP Xy)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x3:((cP Xy)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x6:((cP Xy1)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x30:(cP x0)
% 94.47/94.74 Found x30 as proof of (cP x0)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x30:(cP x0)
% 94.47/94.74 Found x30 as proof of (cP x0)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x30:(cP x0)
% 94.47/94.74 Found x30 as proof of (cP x0)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x30:(cP x0)
% 94.47/94.74 Found x30 as proof of (cP x0)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x30:(cP x0)
% 94.47/94.74 Found x30 as proof of (cP x0)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x50:(cP x0)
% 94.47/94.74 Found x50 as proof of (cP x0)
% 94.47/94.74 Found (x4 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x50) as proof of (cP Xy1)
% 94.47/94.74 Found x30:(cP Xy0)
% 94.47/94.74 Instantiate: Xy0:=Xy:fofType
% 94.47/94.74 Found x30 as proof of (cP Xy)
% 94.47/94.74 Found x30:(cP x0)
% 94.47/94.74 Found x30 as proof of (cP x0)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found (x4 x30) as proof of (cP Xy1)
% 94.47/94.74 Found x50:(cP x0)
% 94.47/94.74 Found x50 as proof of (cP x0)
% 94.47/94.74 Found (x2 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x50) as proof of (cP Xy1)
% 94.47/94.74 Found (x2 x50) as proof of (cP Xy1)
% 94.47/94.74 Found x41:(cP Xy0)
% 94.47/94.74 Instantiate: Xy0:=Xy1:fofType
% 94.47/94.74 Found x41 as proof of (cP Xy1)
% 94.47/94.74 Found x8:(cP x7)
% 94.47/94.74 Instantiate: Xy0:=x7:fofType
% 94.47/94.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 94.47/94.74 Found x8:(cP x7)
% 94.47/94.74 Instantiate: Xy:=x7:fofType
% 94.47/94.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 94.47/94.74 Found x20:(cP Xy)
% 94.47/94.74 Instantiate: Xy:=Xy0:fofType
% 94.47/94.74 Found x20 as proof of (cP Xy0)
% 94.47/94.74 Found x6:((cP Xy1)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x6 as proof of ((cP x7)->(cP Xy))
% 94.47/94.74 Found x3:((cP Xy)->(cP x0))
% 94.47/94.74 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x3 as proof of ((cP x7)->(cP Xy1))
% 94.47/94.74 Found x40:(cP Xy0)
% 94.47/94.74 Instantiate: Xy0:=Xy1:fofType
% 94.47/94.74 Found x40 as proof of (cP Xy1)
% 94.47/94.74 Found x20:(cP Xy)
% 94.47/94.74 Instantiate: Xy:=Xy1:fofType
% 94.47/94.74 Found x20 as proof of (cP Xy1)
% 94.47/94.74 Found x8:(cP x7)
% 94.47/94.74 Instantiate: Xy:=x7:fofType
% 94.47/94.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 94.47/94.74 Found x8:(cP x7)
% 94.47/94.74 Instantiate: Xy0:=x7:fofType
% 94.47/94.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 94.47/94.74 Found x21:(cP Xy)
% 94.47/94.74 Instantiate: Xy:=Xy1:fofType
% 94.47/94.74 Found x21 as proof of (cP Xy1)
% 94.47/94.74 Found x22:(cP Xy)
% 94.47/94.74 Instantiate: Xy:=x0:fofType
% 94.47/94.74 Found x22 as proof of (cP x0)
% 94.47/94.74 Found x23:(cP Xy)
% 94.47/94.74 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x23 as proof of (cP Xy0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy0)
% 95.60/95.84 Found x21:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x21 as proof of (cP x0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy1:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy1)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Found x20 as proof of (cP Xy1)
% 95.60/95.84 Found x30:(cP x0)
% 95.60/95.84 Found x30 as proof of (cP x0)
% 95.60/95.84 Found (x2 x30) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x30) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x30) as proof of (cP Xy0)
% 95.60/95.84 Found x21:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x21 as proof of (cP x0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy1:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy1)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Found x20 as proof of (cP Xy1)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy0)
% 95.60/95.84 Found x50:=(x5 x61):(cP Xy1)
% 95.60/95.84 Found (x5 x61) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x61) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x61) as proof of (cP Xy0)
% 95.60/95.84 Found x20:=(x2 x60):(cP Xy)
% 95.60/95.84 Found (x2 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x60) as proof of (cP Xy0)
% 95.60/95.84 Found x20:=(x2 x61):(cP Xy)
% 95.60/95.84 Found (x2 x61) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x61) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x61) as proof of (cP Xy0)
% 95.60/95.84 Found x50:=(x5 x60):(cP Xy1)
% 95.60/95.84 Found (x5 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x60) as proof of (cP Xy0)
% 95.60/95.84 Found x50:=(x5 x31):(cP Xy1)
% 95.60/95.84 Found (x5 x31) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x31) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x31) as proof of (cP Xy0)
% 95.60/95.84 Found x20:=(x2 x60):(cP Xy)
% 95.60/95.84 Found (x2 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x60) as proof of (cP Xy0)
% 95.60/95.84 Found x20:=(x2 x31):(cP Xy)
% 95.60/95.84 Found (x2 x31) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x31) as proof of (cP Xy0)
% 95.60/95.84 Found (x2 x31) as proof of (cP Xy0)
% 95.60/95.84 Found x30:=(x3 x40):(cP Xy0)
% 95.60/95.84 Found (x3 x40) as proof of (cP Xy)
% 95.60/95.84 Found (x3 x40) as proof of (cP Xy)
% 95.60/95.84 Found (x3 x40) as proof of (cP Xy)
% 95.60/95.84 Found x50:=(x5 x60):(cP Xy1)
% 95.60/95.84 Found (x5 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x60) as proof of (cP Xy0)
% 95.60/95.84 Found (x5 x60) as proof of (cP Xy0)
% 95.60/95.84 Found x21:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy1:fofType
% 95.60/95.84 Found x21 as proof of (cP Xy1)
% 95.60/95.84 Found x21:(cP Xy)
% 95.60/95.84 Found x21 as proof of (cP Xy1)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy1:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy1)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Found x20 as proof of (cP Xy1)
% 95.60/95.84 Found x22:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x22 as proof of (cP x0)
% 95.60/95.84 Found x50:(cP x0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x50 as proof of (cP Xy0)
% 95.60/95.84 Found x30:(cP x0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x30 as proof of (cP Xy0)
% 95.60/95.84 Found x50:(cP x0)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x50 as proof of (cP Xy)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Found x40 as proof of (cP Xy1)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=Xy1:fofType
% 95.60/95.84 Found x40 as proof of (cP Xy1)
% 95.60/95.84 Found x41:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=Xy1:fofType
% 95.60/95.84 Found x41 as proof of (cP Xy1)
% 95.60/95.84 Found x41:(cP Xy0)
% 95.60/95.84 Found x41 as proof of (cP Xy1)
% 95.60/95.84 Found x30:(cP x0)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x30 as proof of (cP Xy)
% 95.60/95.84 Found x21:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x21 as proof of (cP x0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy0)
% 95.60/95.84 Found x30:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=Xy:fofType
% 95.60/95.84 Found x30 as proof of (cP Xy)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x40 as proof of (cP x0)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x40 as proof of (cP x0)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x40 as proof of (cP x0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x20 as proof of (cP x0)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x40 as proof of (cP Xy)
% 95.60/95.84 Found x40:(cP Xy0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x40 as proof of (cP x0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=x0:fofType
% 95.60/95.84 Found x20 as proof of (cP x0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy0:=Xy:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy0)
% 95.60/95.84 Found x20:(cP Xy)
% 95.60/95.84 Instantiate: Xy:=Xy0:fofType
% 95.60/95.84 Found x20 as proof of (cP Xy0)
% 95.60/95.84 Found x50:(cP x0)
% 95.60/95.84 Instantiate: Xy0:=x0:fofType
% 95.60/95.84 Found x50 as proof of (cP Xy0)
% 95.60/95.84 Found x60:(cP x0)
% 95.60/95.84 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 95.60/95.84 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 96.94/97.19 Found x21:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=x0:fofType
% 96.94/97.19 Found x21 as proof of (cP x0)
% 96.94/97.19 Found x60:(cP x0)
% 96.94/97.19 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 96.94/97.19 Found x50:=(x5 x40):(cP Xy00)
% 96.94/97.19 Found (x5 x40) as proof of (cP Xy)
% 96.94/97.19 Found (x5 x40) as proof of (cP Xy)
% 96.94/97.19 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 96.94/97.19 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 96.94/97.19 Found x30:(cP x0)
% 96.94/97.19 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 96.94/97.19 Found x50:(cP x0)
% 96.94/97.19 Instantiate: Xy:=x0:fofType
% 96.94/97.19 Found x50 as proof of (cP Xy)
% 96.94/97.19 Found x50:(cP x0)
% 96.94/97.19 Found x50 as proof of (cP x0)
% 96.94/97.19 Found x21:(cP Xy)
% 96.94/97.19 Instantiate: Xy0:=Xy:fofType
% 96.94/97.19 Found x21 as proof of (cP Xy0)
% 96.94/97.19 Found x21:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=x0:fofType
% 96.94/97.19 Found x21 as proof of (cP x0)
% 96.94/97.19 Found x30:=(x3 x40):(cP Xy0)
% 96.94/97.19 Found (x3 x40) as proof of (cP Xy)
% 96.94/97.19 Found (x3 x40) as proof of (cP Xy)
% 96.94/97.19 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 96.94/97.19 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 96.94/97.19 Found x30:(cP x0)
% 96.94/97.19 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 96.94/97.19 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 96.94/97.19 Found x8:(cP x7)
% 96.94/97.19 Instantiate: Xy1:=x7:fofType
% 96.94/97.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 96.94/97.19 Found x40:=(x4 x5):(cP x5)
% 96.94/97.19 Found (x4 x5) as proof of (cP x5)
% 96.94/97.19 Found (x4 x5) as proof of (cP x5)
% 96.94/97.19 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 96.94/97.19 Found x8:(cP x7)
% 96.94/97.19 Instantiate: Xy:=x7:fofType
% 96.94/97.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 96.94/97.19 Found x30:(cP x0)
% 96.94/97.19 Found x30 as proof of (cP x0)
% 96.94/97.19 Found (x2 x30) as proof of (cP Xy0)
% 96.94/97.19 Found (x2 x30) as proof of (cP Xy0)
% 96.94/97.19 Found (x2 x30) as proof of (cP Xy0)
% 96.94/97.19 Found x8:(cP x7)
% 96.94/97.19 Instantiate: Xy1:=x7:fofType
% 96.94/97.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 96.94/97.19 Found x8:(cP x7)
% 96.94/97.19 Instantiate: Xy:=x7:fofType
% 96.94/97.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 96.94/97.19 Found x8:(cP x7)
% 96.94/97.19 Instantiate: Xy:=x7:fofType
% 96.94/97.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 96.94/97.19 Found x8:(cP x7)
% 96.94/97.19 Instantiate: Xy1:=x7:fofType
% 96.94/97.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 96.94/97.19 Found x40:=(x4 x30):(cP Xy0)
% 96.94/97.19 Instantiate: Xy0:=Xy1:fofType
% 96.94/97.19 Found (x4 x30) as proof of (cP Xy1)
% 96.94/97.19 Found x20:=(x2 x30):(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found (x2 x30) as proof of (cP Xy1)
% 96.94/97.19 Found x40:=(x4 x30):(cP Xy0)
% 96.94/97.19 Instantiate: Xy0:=Xy1:fofType
% 96.94/97.19 Found (x4 x30) as proof of (cP Xy1)
% 96.94/97.19 Found x20:=(x2 x30):(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found (x2 x30) as proof of (cP Xy1)
% 96.94/97.19 Found x20:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found x20 as proof of (cP Xy1)
% 96.94/97.19 Found x20:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found x20 as proof of (cP Xy1)
% 96.94/97.19 Found x20:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found x20 as proof of (cP Xy1)
% 96.94/97.19 Found x20:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found x20 as proof of (cP Xy1)
% 96.94/97.19 Found x20:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy0:fofType
% 96.94/97.19 Found x20 as proof of (cP Xy0)
% 96.94/97.19 Found x21:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found x21 as proof of (cP Xy1)
% 96.94/97.19 Found x40:=(x4 x5):(cP x5)
% 96.94/97.19 Found (x4 x5) as proof of (cP x5)
% 96.94/97.19 Found (x4 x5) as proof of (cP x5)
% 96.94/97.19 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 96.94/97.19 Found x20:(cP Xy)
% 96.94/97.19 Instantiate: Xy:=Xy1:fofType
% 96.94/97.19 Found x20 as proof of (cP Xy1)
% 96.94/97.19 Found x21:(cP Xy)
% 96.94/97.19 Instantiate: x5:=Xy:fofType
% 96.94/97.19 Found x21 as proof of (cP x5)
% 96.94/97.19 Found (ex_intro000 x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 96.94/97.19 Found ((ex_intro00 Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 96.94/97.19 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 96.94/97.19 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 97.29/97.57 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 97.29/97.57 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21)) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 97.29/97.57 Found x22:(cP Xy)
% 97.29/97.57 Instantiate: Xy:=x0:fofType
% 97.29/97.57 Found x22 as proof of (cP x0)
% 97.29/97.57 Found x20:=(x2 x30):(cP Xy)
% 97.29/97.57 Instantiate: Xy:=Xy1:fofType
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x41:(cP Xy0)
% 97.29/97.57 Instantiate: Xy0:=Xy1:fofType
% 97.29/97.57 Found x41 as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy0)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy0)
% 97.29/97.57 Found x20:=(x2 x30):(cP Xy)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x20:=(x2 x50):(cP Xy)
% 97.29/97.57 Found (x2 x50) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x50) as proof of (cP Xy1)
% 97.29/97.57 Found x40:=(x4 x30):(cP Xy0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x40:=(x4 x30):(cP Xy0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x40:=(x4 x50):(cP Xy0)
% 97.29/97.57 Found (x4 x50) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x50) as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x40:=(x4 x30):(cP Xy0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x20:=(x2 x30):(cP Xy)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x20:(cP Xy)
% 97.29/97.57 Instantiate: Xy:=Xy1:fofType
% 97.29/97.57 Found x20 as proof of (cP Xy1)
% 97.29/97.57 Found x20:=(x2 x30):(cP Xy)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x20:=(x2 x30):(cP Xy)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x50:(cP x0)
% 97.29/97.57 Found x50 as proof of (cP x0)
% 97.29/97.57 Found (x4 x50) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x50) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x50) as proof of (cP Xy1)
% 97.29/97.57 Found x50:(cP x0)
% 97.29/97.57 Found x50 as proof of (cP x0)
% 97.29/97.57 Found (x2 x50) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x50) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x50) as proof of (cP Xy1)
% 97.29/97.57 Found x20:=(x2 x30):(cP Xy)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x40:=(x4 x30):(cP Xy0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x2 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x40:=(x4 x30):(cP Xy0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x30:(cP x0)
% 97.29/97.57 Found x30 as proof of (cP x0)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found (x4 x30) as proof of (cP Xy1)
% 97.29/97.57 Found x20:(cP Xy)
% 97.29/97.57 Instantiate: Xy:=Xy1:fofType
% 97.29/97.57 Found x20 as proof of (cP Xy1)
% 97.29/97.57 Found x22:(cP Xy)
% 97.29/97.57 Instantiate: Xy:=x0:fofType
% 97.29/97.57 Found x22 as proof of (cP x0)
% 97.29/97.57 Found x30:(cP Xy0)
% 97.29/97.57 Instantiate: Xy0:=Xy:fofType
% 97.29/97.57 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (cP Xy)
% 97.29/97.57 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 97.29/97.57 Found x6:((cP Xy1)->(cP x0))
% 97.29/97.57 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 97.29/97.57 Found x6 as proof of ((cP x7)->(cP Xy))
% 97.29/97.57 Found x6:((cP Xy1)->(cP x0))
% 97.29/97.57 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 97.29/97.57 Found x6 as proof of ((cP x7)->(cP Xy))
% 97.29/97.57 Found x20:(cP Xy)
% 97.85/98.09 Instantiate: Xy:=Xy1:fofType
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x21:(cP Xy)
% 97.85/98.09 Instantiate: Xy:=Xy1:fofType
% 97.85/98.09 Found x21 as proof of (cP Xy1)
% 97.85/98.09 Found x3:((cP Xy)->(cP x0))
% 97.85/98.09 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 97.85/98.09 Found x3 as proof of ((cP x7)->(cP Xy1))
% 97.85/98.09 Found x3:((cP Xy)->(cP x0))
% 97.85/98.09 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 97.85/98.09 Found x3 as proof of ((cP x7)->(cP Xy1))
% 97.85/98.09 Found x41:(cP Xy0)
% 97.85/98.09 Instantiate: Xy0:=Xy1:fofType
% 97.85/98.09 Found x41 as proof of (cP Xy1)
% 97.85/98.09 Found x40:(cP Xy0)
% 97.85/98.09 Instantiate: Xy0:=Xy1:fofType
% 97.85/98.09 Found x40 as proof of (cP Xy1)
% 97.85/98.09 Found x6:((cP Xy1)->(cP x0))
% 97.85/98.09 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 97.85/98.09 Found x6 as proof of ((cP x7)->(cP Xy))
% 97.85/98.09 Found x3:((cP Xy)->(cP x0))
% 97.85/98.09 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 97.85/98.09 Found x3 as proof of ((cP x7)->(cP Xy1))
% 97.85/98.09 Found x6:((cP Xy1)->(cP x0))
% 97.85/98.09 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 97.85/98.09 Found x6 as proof of ((cP x7)->(cP Xy))
% 97.85/98.09 Found x3:((cP Xy)->(cP x0))
% 97.85/98.09 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 97.85/98.09 Found x3 as proof of ((cP x7)->(cP Xy1))
% 97.85/98.09 Found x40:=(x4 x5):(cP x5)
% 97.85/98.09 Found (x4 x5) as proof of (cP x5)
% 97.85/98.09 Found (x4 x5) as proof of (cP x5)
% 97.85/98.09 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 97.85/98.09 Found x30:(cP x0)
% 97.85/98.09 Found x30 as proof of (cP x0)
% 97.85/98.09 Found (x2 x30) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x30) as proof of (cP Xy0)
% 97.85/98.09 Found x20:=(x2 x31):(cP Xy)
% 97.85/98.09 Found (x2 x31) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x31) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x20:=(x2 x61):(cP Xy)
% 97.85/98.09 Found (x2 x61) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x61) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x20:(cP Xy)
% 97.85/98.09 Instantiate: Xy:=Xy1:fofType
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x50:=(x5 x31):(cP Xy1)
% 97.85/98.09 Found (x5 x31) as proof of (cP Xy0)
% 97.85/98.09 Found (x5 x31) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x20:(cP Xy)
% 97.85/98.09 Instantiate: Xy:=Xy1:fofType
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x20:(cP Xy)
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x50:=(x5 x61):(cP Xy1)
% 97.85/98.09 Found (x5 x61) as proof of (cP Xy0)
% 97.85/98.09 Found (x5 x61) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x20:=(x2 x60):(cP Xy)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x20:=(x2 x60):(cP Xy)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x50:=(x5 x60):(cP Xy1)
% 97.85/98.09 Found (x5 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (x5 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x50:=(x5 x60):(cP Xy1)
% 97.85/98.09 Found (x5 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (x5 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 97.85/98.09 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 97.85/98.09 Found x20:(cP Xy)
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x20:(cP Xy)
% 97.85/98.09 Instantiate: Xy:=Xy1:fofType
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x20:(cP Xy)
% 97.85/98.09 Found x20 as proof of (cP Xy1)
% 97.85/98.09 Found x20:=(x2 x30):(cP Xy)
% 97.85/98.09 Instantiate: Xy:=Xy0:fofType
% 97.85/98.09 Found (x2 x30) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x30) as proof of (cP Xy0)
% 97.85/98.09 Found x20:=(x2 x31):(cP Xy)
% 97.85/98.09 Found (x2 x31) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x31) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x31) as proof of (cP Xy0)
% 97.85/98.09 Found x30:=(x3 x40):(cP Xy0)
% 97.85/98.09 Found (x3 x40) as proof of (cP Xy)
% 97.85/98.09 Found (x3 x40) as proof of (cP Xy)
% 97.85/98.09 Found (x3 x40) as proof of (cP Xy)
% 97.85/98.09 Found x20:=(x2 x60):(cP Xy)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found (x2 x60) as proof of (cP Xy0)
% 97.85/98.09 Found x50:=(x5 x61):(cP Xy1)
% 97.85/98.09 Found (x5 x61) as proof of (cP Xy0)
% 97.85/98.09 Found (x5 x61) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x61) as proof of (cP Xy0)
% 98.97/99.27 Found x50:=(x5 x60):(cP Xy1)
% 98.97/99.27 Found (x5 x60) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x60) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x60) as proof of (cP Xy0)
% 98.97/99.27 Found x50:=(x5 x31):(cP Xy1)
% 98.97/99.27 Found (x5 x31) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x31) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x31) as proof of (cP Xy0)
% 98.97/99.27 Found x50:=(x5 x60):(cP Xy1)
% 98.97/99.27 Found (x5 x60) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x60) as proof of (cP Xy0)
% 98.97/99.27 Found (x5 x60) as proof of (cP Xy0)
% 98.97/99.27 Found x20:=(x2 x61):(cP Xy)
% 98.97/99.27 Found (x2 x61) as proof of (cP Xy0)
% 98.97/99.27 Found (x2 x61) as proof of (cP Xy0)
% 98.97/99.27 Found (x2 x61) as proof of (cP Xy0)
% 98.97/99.27 Found x20:=(x2 x60):(cP Xy)
% 98.97/99.27 Found (x2 x60) as proof of (cP Xy0)
% 98.97/99.27 Found (x2 x60) as proof of (cP Xy0)
% 98.97/99.27 Found (x2 x60) as proof of (cP Xy0)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=Xy1:fofType
% 98.97/99.27 Found x21 as proof of (cP Xy1)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Found x21 as proof of (cP Xy1)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=Xy1:fofType
% 98.97/99.27 Found x21 as proof of (cP Xy1)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Found x21 as proof of (cP Xy1)
% 98.97/99.27 Found x20:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=Xy1:fofType
% 98.97/99.27 Found x20 as proof of (cP Xy1)
% 98.97/99.27 Found x20:(cP Xy)
% 98.97/99.27 Found x20 as proof of (cP Xy1)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Found x40 as proof of (cP Xy1)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=Xy1:fofType
% 98.97/99.27 Found x40 as proof of (cP Xy1)
% 98.97/99.27 Found x30:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=Xy:fofType
% 98.97/99.27 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (cP Xy)
% 98.97/99.27 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 98.97/99.27 Found x41:(cP Xy0)
% 98.97/99.27 Found x41 as proof of (cP Xy1)
% 98.97/99.27 Found x41:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=Xy1:fofType
% 98.97/99.27 Found x41 as proof of (cP Xy1)
% 98.97/99.27 Found x20:=(x2 x30):(cP Xy)
% 98.97/99.27 Found (x2 x30) as proof of (cP Xy0)
% 98.97/99.27 Found (x2 x30) as proof of (cP Xy0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x21 as proof of (cP x0)
% 98.97/99.27 Found x30:=(x3 x40):(cP Xy0)
% 98.97/99.27 Found (x3 x40) as proof of (cP Xy)
% 98.97/99.27 Found (x3 x40) as proof of (cP Xy)
% 98.97/99.27 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (cP Xy)
% 98.97/99.27 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 98.97/99.27 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x3 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x21 as proof of (cP x0)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x21 as proof of (cP x0)
% 98.97/99.27 Found x50:=(x5 x40):(cP Xy00)
% 98.97/99.27 Found (x5 x40) as proof of (cP Xy)
% 98.97/99.27 Found (x5 x40) as proof of (cP Xy)
% 98.97/99.27 Found (fun (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (cP Xy)
% 98.97/99.27 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP Xy00)->(cP x1))->(cP Xy))
% 98.97/99.27 Found (fun (x5:((cP x1)->(cP Xy00))) (x6:((cP Xy00)->(cP x1)))=> (x5 x40)) as proof of (((cP x1)->(cP Xy00))->(((cP Xy00)->(cP x1))->(cP Xy)))
% 98.97/99.27 Found x50:(cP x0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x50 as proof of (cP Xy0)
% 98.97/99.27 Found x50:(cP x0)
% 98.97/99.27 Found x50 as proof of (cP x0)
% 98.97/99.27 Found x50:(cP x0)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x50 as proof of (cP Xy)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x21 as proof of (cP x0)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy0:=Xy:fofType
% 98.97/99.27 Found x21 as proof of (cP Xy0)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy0:=Xy:fofType
% 98.97/99.27 Found x21 as proof of (cP Xy0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x31:(cP x0)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x31 as proof of (cP Xy)
% 98.97/99.27 Found x30:(cP x0)
% 98.97/99.27 Found x30 as proof of (cP x0)
% 98.97/99.27 Found (x2 x30) as proof of (cP Xy0)
% 98.97/99.27 Found (x2 x30) as proof of (cP Xy0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x21:(cP Xy)
% 98.97/99.27 Instantiate: Xy:=x0:fofType
% 98.97/99.27 Found x21 as proof of (cP x0)
% 98.97/99.27 Found x40:(cP Xy0)
% 98.97/99.27 Instantiate: Xy0:=x0:fofType
% 98.97/99.27 Found x40 as proof of (cP x0)
% 98.97/99.27 Found x21:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=x0:fofType
% 99.96/100.22 Found x21 as proof of (cP x0)
% 99.96/100.22 Found x40:=(x4 x30):(cP Xy0)
% 99.96/100.22 Instantiate: Xy0:=Xy1:fofType
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x40:=(x4 x30):(cP Xy0)
% 99.96/100.22 Instantiate: Xy0:=Xy1:fofType
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x40:=(x4 x30):(cP Xy0)
% 99.96/100.22 Instantiate: Xy0:=Xy1:fofType
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy0)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy0)
% 99.96/100.22 Found x32:(cP Xy0)
% 99.96/100.22 Instantiate: Xy0:=Xy:fofType
% 99.96/100.22 Found (fun (x4:((cP Xy0)->(cP x1)))=> x32) as proof of (cP Xy)
% 99.96/100.22 Found (fun (x4:((cP Xy0)->(cP x1)))=> x32) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x21:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=x0:fofType
% 99.96/100.22 Found x21 as proof of (cP x0)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x31:(cP x0)
% 99.96/100.22 Instantiate: Xy:=x0:fofType
% 99.96/100.22 Found x31 as proof of (cP Xy)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Found x20 as proof of (cP Xy0)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x21:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x21 as proof of (cP Xy1)
% 99.96/100.22 Found x21:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x21 as proof of (cP Xy1)
% 99.96/100.22 Found x20:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found x20 as proof of (cP Xy1)
% 99.96/100.22 Found x30:(cP x0)
% 99.96/100.22 Found x30 as proof of (cP x0)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x30:(cP x0)
% 99.96/100.22 Found x30 as proof of (cP x0)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x50:(cP x0)
% 99.96/100.22 Found x50 as proof of (cP x0)
% 99.96/100.22 Found (x4 x50) as proof of (cP Xy1)
% 99.96/100.22 Found (x4 x50) as proof of (cP Xy1)
% 99.96/100.22 Found x30:(cP x0)
% 99.96/100.22 Found x30 as proof of (cP x0)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x30:(cP x0)
% 99.96/100.22 Found x30 as proof of (cP x0)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x50:(cP x0)
% 99.96/100.22 Found x50 as proof of (cP x0)
% 99.96/100.22 Found (x2 x50) as proof of (cP Xy1)
% 99.96/100.22 Found (x2 x50) as proof of (cP Xy1)
% 99.96/100.22 Found x30:(cP x0)
% 99.96/100.22 Found x30 as proof of (cP x0)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x30:(cP x0)
% 99.96/100.22 Found x30 as proof of (cP x0)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x40:=(x4 x30):(cP Xy0)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x4 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Instantiate: Xy:=Xy1:fofType
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x21:(cP Xy)
% 99.96/100.22 Instantiate: x5:=Xy:fofType
% 99.96/100.22 Found x21 as proof of (cP x5)
% 99.96/100.22 Found (ex_intro000 x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 99.96/100.22 Found ((ex_intro00 Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 99.96/100.22 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 99.96/100.22 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 99.96/100.22 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 99.96/100.22 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21)) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 99.96/100.22 Found x22:(cP Xy)
% 99.96/100.22 Instantiate: Xy:=x0:fofType
% 99.96/100.22 Found x22 as proof of (cP x0)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found x20:=(x2 x30):(cP Xy)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 99.96/100.22 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x30):(cP Xy0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x41:(cP Xy0)
% 100.88/101.11 Instantiate: Xy0:=Xy1:fofType
% 100.88/101.11 Found x41 as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x30):(cP Xy)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x30):(cP Xy0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x50:(cP x0)
% 100.88/101.11 Found x50 as proof of (cP x0)
% 100.88/101.11 Found (x2 x50) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x50) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x50) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x30):(cP Xy0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x50:(cP x0)
% 100.88/101.11 Found x50 as proof of (cP x0)
% 100.88/101.11 Found (x4 x50) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x50) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x50) as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x20:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=Xy1:fofType
% 100.88/101.11 Found x20 as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy0)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy0)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Found x30 as proof of (cP x0)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x30):(cP Xy)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x20:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=Xy1:fofType
% 100.88/101.11 Found x20 as proof of (cP Xy1)
% 100.88/101.11 Found x20:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=Xy1:fofType
% 100.88/101.11 Found x20 as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x50):(cP Xy)
% 100.88/101.11 Found (x2 x50) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x50) as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x30):(cP Xy)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x30):(cP Xy0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x50):(cP Xy0)
% 100.88/101.11 Found (x4 x50) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x50) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x30):(cP Xy0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x30):(cP Xy)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x40:=(x4 x30):(cP Xy0)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x4 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x30):(cP Xy)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy1)
% 100.88/101.11 Found x21:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=Xy1:fofType
% 100.88/101.11 Found x21 as proof of (cP Xy1)
% 100.88/101.11 Found x21:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=Xy1:fofType
% 100.88/101.11 Found x21 as proof of (cP Xy1)
% 100.88/101.11 Found x20:=(x2 x30):(cP Xy)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy0)
% 100.88/101.11 Found (x2 x30) as proof of (cP Xy0)
% 100.88/101.11 Found x20:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=Xy1:fofType
% 100.88/101.11 Found x20 as proof of (cP Xy1)
% 100.88/101.11 Found x50:(cP x0)
% 100.88/101.11 Instantiate: Xy0:=x0:fofType
% 100.88/101.11 Found x50 as proof of (cP Xy0)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Instantiate: Xy:=x0:fofType
% 100.88/101.11 Found x30 as proof of (cP Xy)
% 100.88/101.11 Found x50:(cP x0)
% 100.88/101.11 Instantiate: Xy:=x0:fofType
% 100.88/101.11 Found x50 as proof of (cP Xy)
% 100.88/101.11 Found x40:(cP Xy0)
% 100.88/101.11 Instantiate: Xy0:=Xy1:fofType
% 100.88/101.11 Found x40 as proof of (cP Xy1)
% 100.88/101.11 Found x30:(cP x0)
% 100.88/101.11 Instantiate: Xy0:=x0:fofType
% 100.88/101.11 Found x30 as proof of (cP Xy0)
% 100.88/101.11 Found x31:(cP x0)
% 100.88/101.11 Instantiate: Xy:=x0:fofType
% 100.88/101.11 Found x31 as proof of (cP Xy)
% 100.88/101.11 Found x41:(cP Xy0)
% 100.88/101.11 Instantiate: Xy0:=Xy1:fofType
% 100.88/101.11 Found x41 as proof of (cP Xy1)
% 100.88/101.11 Found x21:(cP Xy)
% 100.88/101.11 Instantiate: Xy:=x0:fofType
% 100.88/101.11 Found x21 as proof of (cP x0)
% 100.88/101.11 Found x21:(cP Xy)
% 101.55/101.84 Instantiate: Xy:=x0:fofType
% 101.55/101.84 Found x21 as proof of (cP x0)
% 101.55/101.84 Found x50:=(x5 x31):(cP Xy1)
% 101.55/101.84 Found (x5 x31) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x31) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x50:=(x5 x60):(cP Xy1)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x20:=(x2 x60):(cP Xy)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x20:=(x2 x31):(cP Xy)
% 101.55/101.84 Found (x2 x31) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x31) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x20:(cP Xy)
% 101.55/101.84 Found x20 as proof of (cP Xy1)
% 101.55/101.84 Found x20:(cP Xy)
% 101.55/101.84 Instantiate: Xy:=Xy1:fofType
% 101.55/101.84 Found x20 as proof of (cP Xy1)
% 101.55/101.84 Found x30:(cP x0)
% 101.55/101.84 Found x30 as proof of (cP x0)
% 101.55/101.84 Found (x2 x30) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x30) as proof of (cP Xy0)
% 101.55/101.84 Found x20:=(x2 x61):(cP Xy)
% 101.55/101.84 Found (x2 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x50:=(x5 x61):(cP Xy1)
% 101.55/101.84 Found (x5 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x50:=(x5 x60):(cP Xy1)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x20:=(x2 x60):(cP Xy)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 101.55/101.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 101.55/101.84 Found x22:(cP Xy)
% 101.55/101.84 Instantiate: Xy:=x0:fofType
% 101.55/101.84 Found x22 as proof of (cP x0)
% 101.55/101.84 Found x23:(cP Xy)
% 101.55/101.84 Instantiate: Xy:=Xy0:fofType
% 101.55/101.84 Found x23 as proof of (cP Xy0)
% 101.55/101.84 Found x20:(cP Xy)
% 101.55/101.84 Instantiate: Xy:=Xy0:fofType
% 101.55/101.84 Found x20 as proof of (cP Xy0)
% 101.55/101.84 Found x20:=(x2 x30):(cP Xy)
% 101.55/101.84 Instantiate: Xy:=Xy0:fofType
% 101.55/101.84 Found (x2 x30) as proof of (cP Xy0)
% 101.55/101.84 Found x30:=(x3 x40):(cP Xy0)
% 101.55/101.84 Found (x3 x40) as proof of (cP Xy)
% 101.55/101.84 Found (x3 x40) as proof of (cP Xy)
% 101.55/101.84 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 101.55/101.84 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 101.55/101.84 Found x21:(cP Xy)
% 101.55/101.84 Instantiate: Xy:=Xy1:fofType
% 101.55/101.84 Found x21 as proof of (cP Xy1)
% 101.55/101.84 Found x21:(cP Xy)
% 101.55/101.84 Found x21 as proof of (cP Xy1)
% 101.55/101.84 Found x30:=(x3 x40):(cP Xy0)
% 101.55/101.84 Found (x3 x40) as proof of (cP Xy)
% 101.55/101.84 Found (x3 x40) as proof of (cP Xy)
% 101.55/101.84 Found (x3 x40) as proof of (cP Xy)
% 101.55/101.84 Found x20:=(x2 x30):(cP Xy)
% 101.55/101.84 Found (x2 x30) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x30) as proof of (cP Xy0)
% 101.55/101.84 Found x40:(cP Xy0)
% 101.55/101.84 Instantiate: Xy0:=x0:fofType
% 101.55/101.84 Found x40 as proof of (cP x0)
% 101.55/101.84 Found x40:(cP Xy0)
% 101.55/101.84 Instantiate: Xy0:=x0:fofType
% 101.55/101.84 Found x40 as proof of (cP x0)
% 101.55/101.84 Found x60:(cP x0)
% 101.55/101.84 Found x60 as proof of (cP x0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found x31:(cP x0)
% 101.55/101.84 Found x31 as proof of (cP x0)
% 101.55/101.84 Found (x2 x31) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x31) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x31) as proof of (cP Xy0)
% 101.55/101.84 Found x61:(cP x0)
% 101.55/101.84 Found x61 as proof of (cP x0)
% 101.55/101.84 Found (x2 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x61) as proof of (cP Xy0)
% 101.55/101.84 Found x60:(cP x0)
% 101.55/101.84 Found x60 as proof of (cP x0)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x2 x60) as proof of (cP Xy0)
% 101.55/101.84 Found x60:(cP x0)
% 101.55/101.84 Found x60 as proof of (cP x0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x60) as proof of (cP Xy0)
% 101.55/101.84 Found x61:(cP x0)
% 101.55/101.84 Found x61 as proof of (cP x0)
% 101.55/101.84 Found (x5 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x61) as proof of (cP Xy0)
% 101.55/101.84 Found (x5 x61) as proof of (cP Xy0)
% 103.17/103.49 Found x31:(cP x0)
% 103.17/103.49 Found x31 as proof of (cP x0)
% 103.17/103.49 Found (x5 x31) as proof of (cP Xy0)
% 103.17/103.49 Found (x5 x31) as proof of (cP Xy0)
% 103.17/103.49 Found (x5 x31) as proof of (cP Xy0)
% 103.17/103.49 Found x60:(cP x0)
% 103.17/103.49 Found x60 as proof of (cP x0)
% 103.17/103.49 Found (x2 x60) as proof of (cP Xy0)
% 103.17/103.49 Found (x2 x60) as proof of (cP Xy0)
% 103.17/103.49 Found (x2 x60) as proof of (cP Xy0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy0:=Xy:fofType
% 103.17/103.49 Found x21 as proof of (cP Xy0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy0:=Xy:fofType
% 103.17/103.49 Found x21 as proof of (cP Xy0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x40:(cP Xy0)
% 103.17/103.49 Instantiate: Xy0:=x0:fofType
% 103.17/103.49 Found x40 as proof of (cP x0)
% 103.17/103.49 Found x60:(cP x1)
% 103.17/103.49 Found x60 as proof of (cP x1)
% 103.17/103.49 Found (x3 x60) as proof of (cP Xy)
% 103.17/103.49 Found (x3 x60) as proof of (cP Xy)
% 103.17/103.49 Found (x3 x60) as proof of (cP Xy)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x40:(cP Xy0)
% 103.17/103.49 Instantiate: Xy0:=x0:fofType
% 103.17/103.49 Found x40 as proof of (cP x0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x40:(cP x1)
% 103.17/103.49 Found x40 as proof of (cP x1)
% 103.17/103.49 Found (x3 x40) as proof of (cP Xy)
% 103.17/103.49 Found (x3 x40) as proof of (cP Xy)
% 103.17/103.49 Found (x3 x40) as proof of (cP Xy)
% 103.17/103.49 Found x40:(cP x1)
% 103.17/103.49 Found x40 as proof of (cP x1)
% 103.17/103.49 Found (x5 x40) as proof of (cP Xy)
% 103.17/103.49 Found (x5 x40) as proof of (cP Xy)
% 103.17/103.49 Found (x5 x40) as proof of (cP Xy)
% 103.17/103.49 Found x60:(cP x1)
% 103.17/103.49 Found x60 as proof of (cP x1)
% 103.17/103.49 Found (x5 x60) as proof of (cP Xy)
% 103.17/103.49 Found (x5 x60) as proof of (cP Xy)
% 103.17/103.49 Found (x5 x60) as proof of (cP Xy)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy0)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy0)
% 103.17/103.49 Found x31:(cP x0)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x31 as proof of (cP Xy)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x20:=(x2 x30):(cP Xy)
% 103.17/103.49 Instantiate: Xy:=Xy0:fofType
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy0)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=x0:fofType
% 103.17/103.49 Found x21 as proof of (cP x0)
% 103.17/103.49 Found x40:=(x4 x30):(cP Xy0)
% 103.17/103.49 Instantiate: Xy0:=Xy1:fofType
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x20:=(x2 x30):(cP Xy)
% 103.17/103.49 Instantiate: Xy:=Xy1:fofType
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x20:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=Xy1:fofType
% 103.17/103.49 Found x20 as proof of (cP Xy1)
% 103.17/103.49 Found x20:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=Xy1:fofType
% 103.17/103.49 Found x20 as proof of (cP Xy1)
% 103.17/103.49 Found x20:(cP Xy)
% 103.17/103.49 Found x20 as proof of (cP Xy0)
% 103.17/103.49 Found x21:(cP Xy)
% 103.17/103.49 Instantiate: Xy:=Xy1:fofType
% 103.17/103.49 Found x21 as proof of (cP Xy1)
% 103.17/103.49 Found x20:=(x2 x30):(cP Xy)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x40:=(x4 x30):(cP Xy0)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x40:=(x4 x30):(cP Xy0)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x50:(cP x0)
% 103.17/103.49 Found x50 as proof of (cP x0)
% 103.17/103.49 Found (x2 x50) as proof of (cP Xy1)
% 103.17/103.49 Found (x2 x50) as proof of (cP Xy1)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x20:=(x2 x30):(cP Xy)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x2 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x30:(cP x0)
% 103.17/103.49 Found x30 as proof of (cP x0)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found (x4 x30) as proof of (cP Xy1)
% 103.17/103.49 Found x50:(cP x0)
% 103.17/103.49 Found x50 as proof of (cP x0)
% 103.17/103.49 Found (x4 x50) as proof of (cP Xy1)
% 103.17/103.49 Found (x4 x50) as proof of (cP Xy1)
% 103.17/103.49 Found x2:(cP x1)
% 103.17/103.49 Instantiate: Xy00:=x1:fofType
% 103.17/103.49 Found x2 as proof of (cP Xy00)
% 103.25/103.52 Found (x8 x2) as proof of (cP x3)
% 103.25/103.52 Found (x8 x2) as proof of (cP x3)
% 103.25/103.52 Found (x5 (x8 x2)) as proof of (cP Xy)
% 103.25/103.52 Found (x5 (x8 x2)) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x8:((cP Xy00)->(cP x3)))=> (x5 (x8 x2))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x5 (x8 x2))) as proof of (((cP Xy00)->(cP x3))->(cP Xy))
% 103.25/103.52 Found (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x5 (x8 x2))) as proof of (((cP x3)->(cP Xy00))->(((cP Xy00)->(cP x3))->(cP Xy)))
% 103.25/103.52 Found (and_rect10 (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x5 (x8 x2)))) as proof of (cP Xy)
% 103.25/103.52 Found ((and_rect1 (cP Xy)) (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x5 (x8 x2)))) as proof of (cP Xy)
% 103.25/103.52 Found (((fun (P:Type) (x7:(((cP x3)->(cP Xy00))->(((cP Xy00)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy00))) ((cP Xy00)->(cP x3))) P) x7) x41)) (cP Xy)) (fun (x7:((cP x3)->(cP Xy00))) (x8:((cP Xy00)->(cP x3)))=> (x5 (x8 x2)))) as proof of (cP Xy)
% 103.25/103.52 Found (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 103.25/103.52 Found (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))) as proof of (((cP x3)->(cP Xy0))->(((cP Xy0)->(cP x3))->(cP Xy)))
% 103.25/103.52 Found (and_rect00 (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))) as proof of (cP Xy)
% 103.25/103.52 Found ((and_rect0 (cP Xy)) (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))) as proof of (cP Xy)
% 103.25/103.52 Found (((fun (P:Type) (x5:(((cP x3)->(cP Xy0))->(((cP Xy0)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy0))) ((cP Xy0)->(cP x3))) P) x5) x40)) (cP Xy)) (fun (x5:((cP x3)->(cP Xy0))) (x6:((cP Xy0)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))) as proof of (cP Xy)
% 103.25/103.52 Found (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))) as proof of ((forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0)))->(cP Xy))
% 103.25/103.52 Found (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))) as proof of (forall (x:fofType), ((forall (Xy0:fofType), ((iff (cP x)) (cP Xy0)))->(cP Xy)))
% 103.25/103.52 Found (ex_ind10 (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))))) as proof of (cP Xy)
% 103.25/103.52 Found ((ex_ind1 (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))))) as proof of (cP Xy)
% 103.25/103.52 Found (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((iff (cP x)) (cP Xy)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((iff (cP Xx)) (cP Xy))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((iff (cP x)) (cP Xy)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((iff (cP Xx)) (cP Xy))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((iff (cP x)) (cP Xy)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((iff (cP Xx)) (cP Xy))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))))) as proof of ((cP x1)->(cP Xy))
% 103.25/103.52 Found (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((iff (cP x)) (cP Xy)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((iff (cP Xx)) (cP Xy))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 103.25/103.52 Found (ex_ind00 (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy:fofType), ((iff (cP x)) (cP Xy)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy:fofType), ((iff (cP Xx)) (cP Xy))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))))))) as proof of (cP Xy)
% 103.25/103.52 Found ((ex_ind0 (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((iff (cP x)) (cP Xy0)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((iff (cP Xx)) (cP Xy0))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))))))) as proof of (cP Xy)
% 103.25/103.52 Found (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((iff (cP x)) (cP Xy0)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((iff (cP Xx)) (cP Xy0))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2)))))))))) as proof of (cP Xy)
% 103.25/103.52 Found (fun (Xy:fofType)=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((iff (cP x)) (cP Xy0)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((iff (cP Xx)) (cP Xy0))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))))))) as proof of (cP Xy)
% 103.64/103.92 Found (fun (x0:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy:fofType)=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((iff (cP x)) (cP Xy0)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((iff (cP Xx)) (cP Xy0))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))))))) as proof of (forall (Xy:fofType), (cP Xy))
% 103.64/103.92 Found (fun (x0:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy:fofType)=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x0)) (cP Xy)) (fun (x1:fofType) (x2:(cP x1))=> (((fun (P:Prop) (x3:(forall (x:fofType), ((forall (Xy0:fofType), ((iff (cP x)) (cP Xy0)))->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (forall (Xy0:fofType), ((iff (cP Xx)) (cP Xy0))))) P) x3) x)) (cP Xy)) (fun (x3:fofType) (x4:(forall (Xy0:fofType), ((iff (cP x3)) (cP Xy0))))=> (((fun (P:Type) (x5:(((cP x3)->(cP Xy))->(((cP Xy)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP Xy))) ((cP Xy)->(cP x3))) P) x5) (x4 Xy))) (cP Xy)) (fun (x5:((cP x3)->(cP Xy))) (x6:((cP Xy)->(cP x3)))=> (((fun (P:Type) (x7:(((cP x3)->(cP x1))->(((cP x1)->(cP x3))->P)))=> (((((and_rect ((cP x3)->(cP x1))) ((cP x1)->(cP x3))) P) x7) (x4 x1))) (cP Xy)) (fun (x7:((cP x3)->(cP x1))) (x8:((cP x1)->(cP x3)))=> (x5 (x8 x2))))))))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))
% 103.64/103.92 Found x20:=(x2 x30):(cP Xy)
% 103.64/103.92 Instantiate: Xy:=Xy0:fofType
% 103.64/103.92 Found (x2 x30) as proof of (cP Xy0)
% 103.64/103.92 Found (x2 x30) as proof of (cP Xy0)
% 103.64/103.92 Found x21:(cP Xy)
% 103.64/103.92 Instantiate: x5:=Xy:fofType
% 103.64/103.92 Found x21 as proof of (cP x5)
% 103.64/103.92 Found (ex_intro000 x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 103.64/103.92 Found ((ex_intro00 Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 103.64/103.92 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 103.64/103.92 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 103.64/103.92 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 103.64/103.92 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x21)) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 103.64/103.92 Found x22:(cP Xy)
% 103.64/103.92 Instantiate: Xy:=x0:fofType
% 103.64/103.92 Found x22 as proof of (cP x0)
% 103.64/103.92 Found x40:=(x4 x30):(cP Xy0)
% 103.64/103.92 Found (x4 x30) as proof of (cP Xy1)
% 103.64/103.92 Found (x4 x30) as proof of (cP Xy1)
% 103.64/103.92 Found x20:(cP Xy)
% 103.64/103.92 Instantiate: Xy:=Xy1:fofType
% 103.64/103.92 Found x20 as proof of (cP Xy1)
% 103.64/103.92 Found x20:=(x2 x30):(cP Xy)
% 103.64/103.92 Found (x2 x30) as proof of (cP Xy1)
% 103.64/103.92 Found (x2 x30) as proof of (cP Xy1)
% 103.64/103.92 Found x40:=(x4 x30):(cP Xy0)
% 103.64/103.92 Found (x4 x30) as proof of (cP Xy1)
% 105.54/105.78 Found (x4 x30) as proof of (cP Xy1)
% 105.54/105.78 Found x20:=(x2 x30):(cP Xy)
% 105.54/105.78 Found (x2 x30) as proof of (cP Xy1)
% 105.54/105.78 Found (x2 x30) as proof of (cP Xy1)
% 105.54/105.78 Found x31:(cP x0)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x31 as proof of (cP Xy)
% 105.54/105.78 Found x21:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy1:fofType
% 105.54/105.78 Found x21 as proof of (cP Xy1)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Found x20 as proof of (cP Xy0)
% 105.54/105.78 Found x50:(cP Xy1)
% 105.54/105.78 Instantiate: Xy1:=x0:fofType
% 105.54/105.78 Found x50 as proof of (cP x0)
% 105.54/105.78 Found x21:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x21 as proof of (cP x0)
% 105.54/105.78 Found x21:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x21 as proof of (cP x0)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy0:=x7:fofType
% 105.54/105.78 Found x8 as proof of (cP Xy0)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy:=x7:fofType
% 105.54/105.78 Found x8 as proof of (cP Xy)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy:=x7:fofType
% 105.54/105.78 Found x8 as proof of (cP Xy)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy0:=x7:fofType
% 105.54/105.78 Found x8 as proof of (cP Xy0)
% 105.54/105.78 Found x50:(cP Xy1)
% 105.54/105.78 Instantiate: Xy1:=x0:fofType
% 105.54/105.78 Found x50 as proof of (cP x0)
% 105.54/105.78 Found x30:(cP x0)
% 105.54/105.78 Found x30 as proof of (cP x0)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x20 as proof of (cP x0)
% 105.54/105.78 Found x30:(cP x0)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x30 as proof of (cP Xy)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x20 as proof of (cP x0)
% 105.54/105.78 Found x51:(cP Xy1)
% 105.54/105.78 Instantiate: Xy:=Xy1:fofType
% 105.54/105.78 Found x51 as proof of (cP Xy)
% 105.54/105.78 Found x22:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x22 as proof of (cP x0)
% 105.54/105.78 Found x21:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x21 as proof of (cP x0)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy0:fofType
% 105.54/105.78 Found x20 as proof of (cP Xy0)
% 105.54/105.78 Found x51:(cP Xy1)
% 105.54/105.78 Instantiate: Xy1:=x0:fofType
% 105.54/105.78 Found x51 as proof of (cP x0)
% 105.54/105.78 Found x51:(cP Xy1)
% 105.54/105.78 Instantiate: Xy1:=x0:fofType
% 105.54/105.78 Found x51 as proof of (cP x0)
% 105.54/105.78 Found x32:(cP x0)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x32 as proof of (cP Xy)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy0:=x7:fofType
% 105.54/105.78 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy:=x7:fofType
% 105.54/105.78 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy1:fofType
% 105.54/105.78 Found x20 as proof of (cP Xy1)
% 105.54/105.78 Found x20 as proof of (cP Xy1)
% 105.54/105.78 Found x22:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x22 as proof of (cP x0)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy:=x7:fofType
% 105.54/105.78 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 105.54/105.78 Found x22:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=x0:fofType
% 105.54/105.78 Found x22 as proof of (cP x0)
% 105.54/105.78 Found x8:(cP x7)
% 105.54/105.78 Instantiate: Xy0:=x7:fofType
% 105.54/105.78 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Found x20 as proof of (cP Xy1)
% 105.54/105.78 Found x20 as proof of (cP Xy1)
% 105.54/105.78 Found x23:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy0:fofType
% 105.54/105.78 Found x23 as proof of (cP Xy0)
% 105.54/105.78 Found x20:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy0:fofType
% 105.54/105.78 Found x20 as proof of (cP Xy0)
% 105.54/105.78 Found x20:=(x2 x30):(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy0:fofType
% 105.54/105.78 Found (x2 x30) as proof of (cP Xy0)
% 105.54/105.78 Found x20:=(x2 x60):(cP Xy)
% 105.54/105.78 Found (x2 x60) as proof of (cP Xy0)
% 105.54/105.78 Found (x2 x60) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.54/105.78 Found x23:(cP Xy)
% 105.54/105.78 Instantiate: Xy:=Xy0:fofType
% 105.54/105.78 Found x23 as proof of (cP Xy0)
% 105.54/105.78 Found x20:=(x2 x61):(cP Xy)
% 105.54/105.78 Found (x2 x61) as proof of (cP Xy0)
% 105.54/105.78 Found (x2 x61) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.54/105.78 Found x20:=(x2 x60):(cP Xy)
% 105.54/105.78 Found (x2 x60) as proof of (cP Xy0)
% 105.54/105.78 Found (x2 x60) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.54/105.78 Found x50:=(x5 x61):(cP Xy1)
% 105.54/105.78 Found (x5 x61) as proof of (cP Xy0)
% 105.54/105.78 Found (x5 x61) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 105.54/105.78 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.95/106.27 Found x22:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x22 as proof of (cP x0)
% 105.95/106.27 Found x50:=(x5 x31):(cP Xy1)
% 105.95/106.27 Found (x5 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.95/106.27 Found x50:=(x5 x60):(cP Xy1)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.95/106.27 Found x50:=(x5 x60):(cP Xy1)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.95/106.27 Found x20:=(x2 x31):(cP Xy)
% 105.95/106.27 Found (x2 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 105.95/106.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 105.95/106.27 Found x31:(cP x0)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x31 as proof of (cP Xy)
% 105.95/106.27 Found x20:(cP Xy)
% 105.95/106.27 Found x20 as proof of (cP Xy0)
% 105.95/106.27 Found x22:(cP Xy)
% 105.95/106.27 Found x22 as proof of (cP Xy0)
% 105.95/106.27 Found x21:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=Xy1:fofType
% 105.95/106.27 Found x21 as proof of (cP Xy1)
% 105.95/106.27 Found x21:(cP Xy)
% 105.95/106.27 Found x21 as proof of (cP Xy1)
% 105.95/106.27 Found x40:(cP Xy0)
% 105.95/106.27 Instantiate: Xy0:=x0:fofType
% 105.95/106.27 Found x40 as proof of (cP x0)
% 105.95/106.27 Found x21:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x21 as proof of (cP x0)
% 105.95/106.27 Found x31:(cP x0)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x31 as proof of (cP Xy)
% 105.95/106.27 Found x21:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x21 as proof of (cP x0)
% 105.95/106.27 Found x40:(cP Xy0)
% 105.95/106.27 Instantiate: Xy0:=x0:fofType
% 105.95/106.27 Found x40 as proof of (cP x0)
% 105.95/106.27 Found x21:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x21 as proof of (cP x0)
% 105.95/106.27 Found x20:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x20 as proof of (cP x0)
% 105.95/106.27 Found x20:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x20 as proof of (cP x0)
% 105.95/106.27 Found x30:(cP x0)
% 105.95/106.27 Instantiate: Xy:=x0:fofType
% 105.95/106.27 Found x30 as proof of (cP Xy)
% 105.95/106.27 Found x30:(cP x0)
% 105.95/106.27 Found x30 as proof of (cP x0)
% 105.95/106.27 Found x61:(cP x0)
% 105.95/106.27 Found x61 as proof of (cP x0)
% 105.95/106.27 Found (x5 x61) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x61) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x61) as proof of (cP Xy0)
% 105.95/106.27 Found x31:(cP x0)
% 105.95/106.27 Found x31 as proof of (cP x0)
% 105.95/106.27 Found (x5 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x31) as proof of (cP Xy0)
% 105.95/106.27 Found x61:(cP x0)
% 105.95/106.27 Found x61 as proof of (cP x0)
% 105.95/106.27 Found (x2 x61) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x61) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x61) as proof of (cP Xy0)
% 105.95/106.27 Found x60:(cP x0)
% 105.95/106.27 Found x60 as proof of (cP x0)
% 105.95/106.27 Found (x2 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x60) as proof of (cP Xy0)
% 105.95/106.27 Found x60:(cP x0)
% 105.95/106.27 Found x60 as proof of (cP x0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found x41:(cP Xy0)
% 105.95/106.27 Instantiate: Xy:=Xy0:fofType
% 105.95/106.27 Found x41 as proof of (cP Xy)
% 105.95/106.27 Found x20:(cP Xy)
% 105.95/106.27 Instantiate: Xy:=Xy0:fofType
% 105.95/106.27 Found x20 as proof of (cP Xy0)
% 105.95/106.27 Found x41:(cP Xy0)
% 105.95/106.27 Instantiate: Xy0:=x0:fofType
% 105.95/106.27 Found x41 as proof of (cP x0)
% 105.95/106.27 Found x41:(cP Xy0)
% 105.95/106.27 Instantiate: Xy0:=x0:fofType
% 105.95/106.27 Found x41 as proof of (cP x0)
% 105.95/106.27 Found x31:(cP x0)
% 105.95/106.27 Found x31 as proof of (cP x0)
% 105.95/106.27 Found (x2 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x31) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x31) as proof of (cP Xy0)
% 105.95/106.27 Found x60:(cP x0)
% 105.95/106.27 Found x60 as proof of (cP x0)
% 105.95/106.27 Found (x2 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x2 x60) as proof of (cP Xy0)
% 105.95/106.27 Found x60:(cP x0)
% 105.95/106.27 Found x60 as proof of (cP x0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 105.95/106.27 Found (x5 x60) as proof of (cP Xy0)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x21 as proof of (cP x0)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x50 as proof of (cP Xy)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x21 as proof of (cP x0)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x30 as proof of (cP Xy0)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x30 as proof of (cP Xy)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x50 as proof of (cP Xy0)
% 107.72/107.98 Found x31:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x31 as proof of (cP Xy0)
% 107.72/107.98 Found x51:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x51 as proof of (cP Xy)
% 107.72/107.98 Found x31:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x31 as proof of (cP Xy)
% 107.72/107.98 Found x51:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x51 as proof of (cP Xy0)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy0:=Xy:fofType
% 107.72/107.98 Found x21 as proof of (cP Xy0)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x20 as proof of (cP x0)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x20 as proof of (cP x0)
% 107.72/107.98 Found x20:=(x2 x30):(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found (x2 x30) as proof of (cP Xy0)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x21 as proof of (cP x0)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x21 as proof of (cP x0)
% 107.72/107.98 Found x40:(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x40 as proof of (cP x0)
% 107.72/107.98 Found x40:(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x40 as proof of (cP x0)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found x20 as proof of (cP Xy0)
% 107.72/107.98 Found x41:(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x41 as proof of (cP x0)
% 107.72/107.98 Found x40:(cP Xy0)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found x40 as proof of (cP Xy)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy0:=Xy:fofType
% 107.72/107.98 Found x20 as proof of (cP Xy0)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x30 as proof of (cP Xy)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy0:=Xy:fofType
% 107.72/107.98 Found x21 as proof of (cP Xy0)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x21 as proof of (cP x0)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x50 as proof of (cP Xy)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x50 as proof of (cP Xy0)
% 107.72/107.98 Found x41:(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x41 as proof of (cP x0)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Found x50 as proof of (cP x0)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Found x30 as proof of (cP x0)
% 107.72/107.98 Found x41:(cP Xy0)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found x41 as proof of (cP Xy)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x21 as proof of (cP x0)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x30 as proof of (cP Xy0)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy1:fofType
% 107.72/107.98 Found x20 as proof of (cP Xy1)
% 107.72/107.98 Found x20 as proof of (cP Xy1)
% 107.72/107.98 Found x40:=(x4 x30):(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=Xy1:fofType
% 107.72/107.98 Found (x4 x30) as proof of (cP Xy1)
% 107.72/107.98 Found x20:=(x2 x0):(cP x0)
% 107.72/107.98 Found (x2 x0) as proof of (cP x0)
% 107.72/107.98 Found (x2 x0) as proof of (cP x0)
% 107.72/107.98 Found x20:=(x2 x30):(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy1:fofType
% 107.72/107.98 Found (x2 x30) as proof of (cP Xy1)
% 107.72/107.98 Found x30:=(x3 x40):(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=Xy:fofType
% 107.72/107.98 Found (x3 x40) as proof of (cP Xy)
% 107.72/107.98 Found (x3 x40) as proof of (cP Xy)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy0:=Xy:fofType
% 107.72/107.98 Found x20 as proof of (cP Xy0)
% 107.72/107.98 Found x20:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found x20 as proof of (cP Xy0)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x50 as proof of (cP Xy0)
% 107.72/107.98 Found x50:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x50 as proof of (cP Xy)
% 107.72/107.98 Found x20:=(x2 x30):(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found (x2 x30) as proof of (cP Xy0)
% 107.72/107.98 Found x31:(cP x0)
% 107.72/107.98 Instantiate: Xy:=x0:fofType
% 107.72/107.98 Found x31 as proof of (cP Xy)
% 107.72/107.98 Found x31:(cP x0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x31 as proof of (cP Xy0)
% 107.72/107.98 Found x21:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy1:fofType
% 107.72/107.98 Found x21 as proof of (cP Xy1)
% 107.72/107.98 Found x22:(cP Xy)
% 107.72/107.98 Instantiate: Xy:=Xy0:fofType
% 107.72/107.98 Found x22 as proof of (cP Xy0)
% 107.72/107.98 Found x40:(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x40 as proof of (cP x0)
% 107.72/107.98 Found x40:(cP Xy0)
% 107.72/107.98 Instantiate: Xy0:=x0:fofType
% 107.72/107.98 Found x40 as proof of (cP x0)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Found x30 as proof of (cP x0)
% 107.72/107.98 Found (x2 x30) as proof of (cP Xy1)
% 107.72/107.98 Found (x2 x30) as proof of (cP Xy1)
% 107.72/107.98 Found x30:(cP x0)
% 107.72/107.98 Found x30 as proof of (cP x0)
% 107.72/107.98 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Found x50 as proof of (cP x0)
% 108.44/108.69 Found (x4 x50) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x50) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Instantiate: Xy0:=x0:fofType
% 108.44/108.69 Found x50 as proof of (cP Xy0)
% 108.44/108.69 Found x21:(cP Xy)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x21 as proof of (cP x0)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Found x50 as proof of (cP x0)
% 108.44/108.69 Found (x2 x50) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x50) as proof of (cP Xy1)
% 108.44/108.69 Found x20:=(x2 x30):(cP Xy)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x40:=(x4 x30):(cP Xy0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x20:=(x2 x30):(cP Xy)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x50 as proof of (cP Xy)
% 108.44/108.69 Found x21:(cP Xy)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x21 as proof of (cP x0)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Found x50 as proof of (cP x0)
% 108.44/108.69 Found x21:(cP Xy)
% 108.44/108.69 Instantiate: Xy0:=Xy:fofType
% 108.44/108.69 Found x21 as proof of (cP Xy0)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x50 as proof of (cP Xy)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Instantiate: Xy0:=x0:fofType
% 108.44/108.69 Found x30 as proof of (cP Xy0)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x50 as proof of (cP Xy)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Instantiate: Xy0:=x0:fofType
% 108.44/108.69 Found x30 as proof of (cP Xy0)
% 108.44/108.69 Found x40:=(x4 x30):(cP Xy0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x20:=(x2 x30):(cP Xy)
% 108.44/108.69 Instantiate: Xy:=Xy0:fofType
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy0)
% 108.44/108.69 Found x31:(cP x0)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x31 as proof of (cP Xy)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Found x50 as proof of (cP x0)
% 108.44/108.69 Found (x4 x50) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x50) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x50) as proof of (cP Xy1)
% 108.44/108.69 Found x50:(cP x0)
% 108.44/108.69 Found x50 as proof of (cP x0)
% 108.44/108.69 Found (x2 x50) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x50) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x50) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x4 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy1)
% 108.44/108.69 Found x21:(cP Xy)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x21 as proof of (cP x0)
% 108.44/108.69 Found x8:(cP x7)
% 108.44/108.69 Instantiate: Xy0:=x7:fofType
% 108.44/108.69 Found x8 as proof of (cP Xy0)
% 108.44/108.69 Found x30:(cP x0)
% 108.44/108.69 Found x30 as proof of (cP x0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy0)
% 108.44/108.69 Found (x2 x30) as proof of (cP Xy0)
% 108.44/108.69 Found x21:(cP Xy)
% 108.44/108.69 Instantiate: Xy:=x0:fofType
% 108.44/108.69 Found x21 as proof of (cP x0)
% 108.44/108.69 Found x50:(cP Xy1)
% 108.44/108.69 Instantiate: Xy1:=x0:fofType
% 108.44/108.69 Found x50 as proof of (cP x0)
% 108.44/108.69 Found x30:=(x3 x40):(cP Xy0)
% 108.44/108.69 Instantiate: Xy0:=Xy:fofType
% 108.44/108.69 Found (x3 x40) as proof of (cP Xy)
% 108.44/108.69 Found (x3 x40) as proof of (cP Xy)
% 108.44/108.69 Found x8:(cP x7)
% 108.44/108.69 Instantiate: Xy0:=x7:fofType
% 108.44/108.69 Found x8 as proof of (cP Xy0)
% 108.44/108.69 Found x8:(cP x7)
% 108.44/108.69 Instantiate: Xy:=x7:fofType
% 108.44/108.69 Found x8 as proof of (cP Xy)
% 108.44/108.69 Found x8:(cP x7)
% 108.44/108.69 Instantiate: Xy:=x7:fofType
% 109.35/109.60 Found x8 as proof of (cP Xy)
% 109.35/109.60 Found x21:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found x21 as proof of (cP Xy1)
% 109.35/109.60 Found x50:(cP Xy1)
% 109.35/109.60 Instantiate: Xy1:=x0:fofType
% 109.35/109.60 Found x50 as proof of (cP x0)
% 109.35/109.60 Found x00:=(x0 x1):(cP x1)
% 109.35/109.60 Found (x0 x1) as proof of (cP x1)
% 109.35/109.60 Found (x0 x1) as proof of (cP x1)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Found x20 as proof of (cP Xy0)
% 109.35/109.60 Found x41:(cP Xy0)
% 109.35/109.60 Instantiate: Xy0:=Xy1:fofType
% 109.35/109.60 Found (fun (x8:(cP x7))=> x41) as proof of (cP Xy1)
% 109.35/109.60 Found (fun (x8:(cP x7))=> x41) as proof of ((cP x7)->(cP Xy1))
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 109.35/109.60 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x20 as proof of (cP x0)
% 109.35/109.60 Found x21:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy1)
% 109.35/109.60 Found (fun (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy1))
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x40:(cP Xy0)
% 109.35/109.60 Instantiate: Xy0:=Xy1:fofType
% 109.35/109.60 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 109.35/109.60 Found (fun (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 109.35/109.60 Found x22:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x22 as proof of (cP x0)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 109.35/109.60 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 109.35/109.60 Found x40:(cP Xy0)
% 109.35/109.60 Instantiate: Xy0:=Xy1:fofType
% 109.35/109.60 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 109.35/109.60 Found (fun (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 109.35/109.60 Found x30:(cP x0)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x30 as proof of (cP Xy)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x20 as proof of (cP x0)
% 109.35/109.60 Found x30:(cP x0)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x30 as proof of (cP Xy)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x21:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found x21 as proof of (cP Xy1)
% 109.35/109.60 Found x21:(cP Xy)
% 109.35/109.60 Found x21 as proof of (cP Xy1)
% 109.35/109.60 Found x21:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x21 as proof of (cP x0)
% 109.35/109.60 Found x40:=(x4 x50):(cP Xy0)
% 109.35/109.60 Found (x4 x50) as proof of (cP Xy1)
% 109.35/109.60 Found (x4 x50) as proof of (cP Xy1)
% 109.35/109.60 Found x40:=(x4 x30):(cP Xy0)
% 109.35/109.60 Found (x4 x30) as proof of (cP Xy1)
% 109.35/109.60 Found (x4 x30) as proof of (cP Xy1)
% 109.35/109.60 Found x20:=(x2 x30):(cP Xy)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy1)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy1)
% 109.35/109.60 Found x20:=(x2 x50):(cP Xy)
% 109.35/109.60 Found (x2 x50) as proof of (cP Xy1)
% 109.35/109.60 Found (x2 x50) as proof of (cP Xy1)
% 109.35/109.60 Found x20:=(x2 x30):(cP Xy)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy1)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy1)
% 109.35/109.60 Found x40:=(x4 x30):(cP Xy0)
% 109.35/109.60 Found (x4 x30) as proof of (cP Xy1)
% 109.35/109.60 Found (x4 x30) as proof of (cP Xy1)
% 109.35/109.60 Found x20:=(x2 x30):(cP Xy)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy1)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy1)
% 109.35/109.60 Found x40:=(x4 x30):(cP Xy0)
% 109.35/109.60 Found (x4 x30) as proof of (cP Xy1)
% 109.35/109.60 Found (x4 x30) as proof of (cP Xy1)
% 109.35/109.60 Found x22:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x22 as proof of (cP x0)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy1:fofType
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x20 as proof of (cP Xy1)
% 109.35/109.60 Found x20:=(x2 x30):(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy0:fofType
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy0)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy0)
% 109.35/109.60 Found x22:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x22 as proof of (cP x0)
% 109.35/109.60 Found x22:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x22 as proof of (cP x0)
% 109.35/109.60 Found x23:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy0:fofType
% 109.35/109.60 Found x23 as proof of (cP Xy0)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy0:fofType
% 109.35/109.60 Found x20 as proof of (cP Xy0)
% 109.35/109.60 Found x31:(cP x0)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x31 as proof of (cP Xy)
% 109.35/109.60 Found x6:(cP x5)
% 109.35/109.60 Instantiate: Xy:=x5:fofType
% 109.35/109.60 Found x6 as proof of (cP Xy)
% 109.35/109.60 Found x23:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=Xy0:fofType
% 109.35/109.60 Found x23 as proof of (cP Xy0)
% 109.35/109.60 Found x22:(cP Xy)
% 109.35/109.60 Instantiate: Xy:=x0:fofType
% 109.35/109.60 Found x22 as proof of (cP x0)
% 109.35/109.60 Found x20:(cP Xy)
% 109.35/109.60 Found x20 as proof of (cP Xy0)
% 109.35/109.60 Found x30:(cP x0)
% 109.35/109.60 Found x30 as proof of (cP x0)
% 109.35/109.60 Found (x2 x30) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x30) as proof of (cP Xy0)
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x31:(cP x0)
% 109.65/109.90 Found x31 as proof of (cP x0)
% 109.65/109.90 Found (x2 x31) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x31) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x51:(cP Xy1)
% 109.65/109.90 Instantiate: Xy1:=Xy0:fofType
% 109.65/109.90 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 109.65/109.90 Found x21:(cP Xy)
% 109.65/109.90 Instantiate: Xy:=x0:fofType
% 109.65/109.90 Found x21 as proof of (cP x0)
% 109.65/109.90 Found x21:(cP Xy)
% 109.65/109.90 Instantiate: Xy:=x0:fofType
% 109.65/109.90 Found x21 as proof of (cP x0)
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x22:(cP Xy)
% 109.65/109.90 Found x22 as proof of (cP Xy0)
% 109.65/109.90 Found x40:(cP Xy0)
% 109.65/109.90 Instantiate: Xy0:=x0:fofType
% 109.65/109.90 Found x40 as proof of (cP x0)
% 109.65/109.90 Found x61:(cP x0)
% 109.65/109.90 Found x61 as proof of (cP x0)
% 109.65/109.90 Found (x2 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x31:(cP x0)
% 109.65/109.90 Found x31 as proof of (cP x0)
% 109.65/109.90 Found (x5 x31) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x31) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x61:(cP x0)
% 109.65/109.90 Found x61 as proof of (cP x0)
% 109.65/109.90 Found (x5 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 109.65/109.90 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 109.65/109.90 Found x40:(cP Xy0)
% 109.65/109.90 Instantiate: Xy0:=x0:fofType
% 109.65/109.90 Found x40 as proof of (cP x0)
% 109.65/109.90 Found x20:(cP Xy)
% 109.65/109.90 Found x20 as proof of (cP Xy0)
% 109.65/109.90 Found x30:(cP x0)
% 109.65/109.90 Instantiate: Xy:=x0:fofType
% 109.65/109.90 Found x30 as proof of (cP Xy)
% 109.65/109.90 Found x20:(cP Xy)
% 109.65/109.90 Instantiate: Xy:=x0:fofType
% 109.65/109.90 Found x20 as proof of (cP x0)
% 109.65/109.90 Found x30:(cP x0)
% 109.65/109.90 Instantiate: Xy0:=x0:fofType
% 109.65/109.90 Found x30 as proof of (cP Xy0)
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found x31:(cP x0)
% 109.65/109.90 Found x31 as proof of (cP x0)
% 109.65/109.90 Found (x2 x31) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x31) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x31) as proof of (cP Xy0)
% 109.65/109.90 Found x31:(cP x0)
% 109.65/109.90 Instantiate: Xy0:=x0:fofType
% 109.65/109.90 Found x31 as proof of (cP Xy0)
% 109.65/109.90 Found x50:(cP x0)
% 109.65/109.90 Instantiate: Xy:=x0:fofType
% 109.65/109.90 Found x50 as proof of (cP Xy)
% 109.65/109.90 Found x51:(cP x0)
% 109.65/109.90 Instantiate: Xy0:=x0:fofType
% 109.65/109.90 Found x51 as proof of (cP Xy0)
% 109.65/109.90 Found x51:(cP x0)
% 109.65/109.90 Instantiate: Xy:=x0:fofType
% 109.65/109.90 Found x51 as proof of (cP Xy)
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x60) as proof of (cP Xy0)
% 109.65/109.90 Found x61:(cP x0)
% 109.65/109.90 Found x61 as proof of (cP x0)
% 109.65/109.90 Found (x5 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x61) as proof of (cP Xy0)
% 109.65/109.90 Found x61:(cP x0)
% 109.65/109.90 Found x61 as proof of (cP x0)
% 109.65/109.90 Found (x2 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x61) as proof of (cP Xy0)
% 109.65/109.90 Found (x2 x61) as proof of (cP Xy0)
% 109.65/109.90 Found x60:(cP x0)
% 109.65/109.90 Found x60 as proof of (cP x0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found (x5 x60) as proof of (cP Xy0)
% 109.65/109.90 Found x30:(cP x0)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x30 as proof of (cP Xy)
% 110.83/111.16 Found x60:(cP x0)
% 110.83/111.16 Found x60 as proof of (cP x0)
% 110.83/111.16 Found (x2 x60) as proof of (cP Xy0)
% 110.83/111.16 Found (x2 x60) as proof of (cP Xy0)
% 110.83/111.16 Found (x2 x60) as proof of (cP Xy0)
% 110.83/111.16 Found x50:(cP x0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x50 as proof of (cP Xy0)
% 110.83/111.16 Found x31:(cP x0)
% 110.83/111.16 Found x31 as proof of (cP x0)
% 110.83/111.16 Found (x5 x31) as proof of (cP Xy0)
% 110.83/111.16 Found (x5 x31) as proof of (cP Xy0)
% 110.83/111.16 Found (x5 x31) as proof of (cP Xy0)
% 110.83/111.16 Found x31:(cP x0)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x31 as proof of (cP Xy)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x20 as proof of (cP x0)
% 110.83/111.16 Found x40:(cP Xy0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x40 as proof of (cP x0)
% 110.83/111.16 Found x40:(cP Xy0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x40 as proof of (cP x0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x20 as proof of (cP x0)
% 110.83/111.16 Found x41:(cP Xy0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x41 as proof of (cP x0)
% 110.83/111.16 Found x50:(cP x0)
% 110.83/111.16 Found x50 as proof of (cP x0)
% 110.83/111.16 Found x21:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x21 as proof of (cP x0)
% 110.83/111.16 Found x21:(cP Xy)
% 110.83/111.16 Instantiate: Xy0:=Xy:fofType
% 110.83/111.16 Found x21 as proof of (cP Xy0)
% 110.83/111.16 Found x50:(cP x0)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x50 as proof of (cP Xy)
% 110.83/111.16 Found x21:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x21 as proof of (cP x0)
% 110.83/111.16 Found x20:=(x2 x30):(cP Xy)
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found x41:(cP Xy0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x41 as proof of (cP x0)
% 110.83/111.16 Found x50:(cP x0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x50 as proof of (cP Xy0)
% 110.83/111.16 Found x30:(cP x0)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x30 as proof of (cP Xy)
% 110.83/111.16 Found x41:(cP Xy0)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found x41 as proof of (cP Xy)
% 110.83/111.16 Found x30:(cP x0)
% 110.83/111.16 Found x30 as proof of (cP x0)
% 110.83/111.16 Found x30:(cP x0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x30 as proof of (cP Xy0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy0)
% 110.83/111.16 Found x20:=(x2 x30):(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy0)
% 110.83/111.16 Found x6:(cP x5)
% 110.83/111.16 Instantiate: Xy:=x5:fofType
% 110.83/111.16 Found x6 as proof of (cP Xy)
% 110.83/111.16 Found x20:=(x2 x30):(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x21:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x21 as proof of (cP Xy1)
% 110.83/111.16 Found x31:(cP x0)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x31 as proof of (cP Xy)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x20 as proof of (cP x0)
% 110.83/111.16 Found x21:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x21 as proof of (cP x0)
% 110.83/111.16 Found x40:(cP Xy0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x40 as proof of (cP x0)
% 110.83/111.16 Found x30:(cP x0)
% 110.83/111.16 Found x30 as proof of (cP x0)
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found (x2 x30) as proof of (cP Xy0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Found x20 as proof of (cP Xy0)
% 110.83/111.16 Found x21:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x21 as proof of (cP x0)
% 110.83/111.16 Found x40:(cP Xy0)
% 110.83/111.16 Instantiate: Xy0:=x0:fofType
% 110.83/111.16 Found x40 as proof of (cP x0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x20 as proof of (cP x0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy1:=Xy:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy1)
% 110.83/111.16 Found x50:(cP Xy1)
% 110.83/111.16 Instantiate: Xy:=Xy1:fofType
% 110.83/111.16 Found x50 as proof of (cP Xy)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x20 as proof of (cP x0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x20 as proof of (cP x0)
% 110.83/111.16 Found x30:(cP x0)
% 110.83/111.16 Instantiate: Xy:=x0:fofType
% 110.83/111.16 Found x30 as proof of (cP Xy)
% 110.83/111.16 Found x30:(cP x0)
% 110.83/111.16 Found x30 as proof of (cP x0)
% 110.83/111.16 Found x20:(cP Xy)
% 110.83/111.16 Instantiate: Xy:=Xy0:fofType
% 110.83/111.16 Found x20 as proof of (cP Xy0)
% 112.04/112.33 Found x41:(cP Xy0)
% 112.04/112.33 Instantiate: Xy:=Xy0:fofType
% 112.04/112.33 Found x41 as proof of (cP Xy)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy)
% 112.04/112.33 Found x20:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x20 as proof of (cP x0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.04/112.33 Found x41:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x41 as proof of (cP x0)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy0)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy)
% 112.04/112.33 Found x41:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x41 as proof of (cP x0)
% 112.04/112.33 Found x20:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=Xy0:fofType
% 112.04/112.33 Found x20 as proof of (cP Xy0)
% 112.04/112.33 Found x51:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x51 as proof of (cP Xy)
% 112.04/112.33 Found x50:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x50 as proof of (cP Xy)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy0)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy0)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy)
% 112.04/112.33 Found x51:(cP x0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x51 as proof of (cP Xy0)
% 112.04/112.33 Found x50:(cP x0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x50 as proof of (cP Xy0)
% 112.04/112.33 Found x20:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x20 as proof of (cP x0)
% 112.04/112.33 Found x40:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x40 as proof of (cP x0)
% 112.04/112.33 Found x40:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x40 as proof of (cP x0)
% 112.04/112.33 Found x40:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x40 as proof of (cP x0)
% 112.04/112.33 Found x40:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x40 as proof of (cP x0)
% 112.04/112.33 Found x40:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x40 as proof of (cP x0)
% 112.04/112.33 Found x20:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x20 as proof of (cP x0)
% 112.04/112.33 Found x61:(cP x0)
% 112.04/112.33 Instantiate: Xy1:=x0:fofType
% 112.04/112.33 Found x61 as proof of (cP Xy1)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy1:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy1)
% 112.04/112.33 Found x60:(cP x0)
% 112.04/112.33 Instantiate: Xy1:=x0:fofType
% 112.04/112.33 Found x60 as proof of (cP Xy1)
% 112.04/112.33 Found x40:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x40 as proof of (cP x0)
% 112.04/112.33 Found x60:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x60 as proof of (cP Xy)
% 112.04/112.33 Found x61:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x61 as proof of (cP Xy)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy)
% 112.04/112.33 Found x20:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=Xy0:fofType
% 112.04/112.33 Found x20 as proof of (cP Xy0)
% 112.04/112.33 Found x20:=(x2 x30):(cP Xy)
% 112.04/112.33 Instantiate: Xy:=Xy0:fofType
% 112.04/112.33 Found (x2 x30) as proof of (cP Xy0)
% 112.04/112.33 Found x31:(cP x0)
% 112.04/112.33 Instantiate: Xy1:=x0:fofType
% 112.04/112.33 Found x31 as proof of (cP Xy1)
% 112.04/112.33 Found x41:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x41 as proof of (cP x0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.04/112.33 Found x50:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x50 as proof of (cP Xy)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy0:=Xy:fofType
% 112.04/112.33 Found x21 as proof of (cP Xy0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy0:=Xy:fofType
% 112.04/112.33 Found x21 as proof of (cP Xy0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy)
% 112.04/112.33 Found x41:(cP Xy0)
% 112.04/112.33 Instantiate: Xy:=Xy0:fofType
% 112.04/112.33 Found x41 as proof of (cP Xy)
% 112.04/112.33 Found x41:(cP Xy0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x41 as proof of (cP x0)
% 112.04/112.33 Found x50:(cP x0)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x50 as proof of (cP Xy)
% 112.04/112.33 Found x20:(cP Xy)
% 112.04/112.33 Instantiate: Xy0:=Xy:fofType
% 112.04/112.33 Found x20 as proof of (cP Xy0)
% 112.04/112.33 Found x30:(cP x0)
% 112.04/112.33 Instantiate: Xy0:=x0:fofType
% 112.04/112.33 Found x30 as proof of (cP Xy0)
% 112.04/112.33 Found x50:(cP x0)
% 112.04/112.33 Found x50 as proof of (cP x0)
% 112.04/112.33 Found x21:(cP Xy)
% 112.04/112.33 Instantiate: Xy:=x0:fofType
% 112.04/112.33 Found x21 as proof of (cP x0)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Found x20 as proof of (cP Xy0)
% 112.74/113.07 Found x40:(cP Xy0)
% 112.74/113.07 Instantiate: Xy:=Xy0:fofType
% 112.74/113.07 Found x40 as proof of (cP Xy)
% 112.74/113.07 Found x22:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy0:fofType
% 112.74/113.07 Found x22 as proof of (cP Xy0)
% 112.74/113.07 Found x50:(cP x0)
% 112.74/113.07 Found x50 as proof of (cP x0)
% 112.74/113.07 Found x50:(cP x0)
% 112.74/113.07 Instantiate: Xy0:=x0:fofType
% 112.74/113.07 Found x50 as proof of (cP Xy0)
% 112.74/113.07 Found x21:(cP Xy)
% 112.74/113.07 Instantiate: Xy0:=Xy:fofType
% 112.74/113.07 Found x21 as proof of (cP Xy0)
% 112.74/113.07 Found x50:(cP x0)
% 112.74/113.07 Instantiate: Xy0:=x0:fofType
% 112.74/113.07 Found x50 as proof of (cP Xy0)
% 112.74/113.07 Found x20:=(x2 x30):(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy0:fofType
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy0)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy0:fofType
% 112.74/113.07 Found x20 as proof of (cP Xy0)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x50:(cP x0)
% 112.74/113.07 Found x50 as proof of (cP x0)
% 112.74/113.07 Found (x2 x50) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x50) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x6:(cP x5)
% 112.74/113.07 Instantiate: Xy:=x5:fofType
% 112.74/113.07 Found x6 as proof of (cP Xy)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy0:fofType
% 112.74/113.07 Found x20 as proof of (cP Xy0)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x50:(cP x0)
% 112.74/113.07 Found x50 as proof of (cP x0)
% 112.74/113.07 Found (x4 x50) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x50) as proof of (cP Xy1)
% 112.74/113.07 Found x31:(cP x0)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x31 as proof of (cP Xy)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Found x20 as proof of (cP Xy0)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x20 as proof of (cP x0)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy0:fofType
% 112.74/113.07 Found x20 as proof of (cP Xy0)
% 112.74/113.07 Found x22:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x22 as proof of (cP x0)
% 112.74/113.07 Found x40:=(x4 x30):(cP Xy0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x20:=(x2 x30):(cP Xy)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x21:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x21 as proof of (cP x0)
% 112.74/113.07 Found x20:=(x2 x0):(cP x0)
% 112.74/113.07 Found (x2 x0) as proof of (cP x0)
% 112.74/113.07 Found (x2 x0) as proof of (cP x0)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy1:fofType
% 112.74/113.07 Found x20 as proof of (cP Xy1)
% 112.74/113.07 Found x40:=(x4 x30):(cP Xy0)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x4 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Found x20 as proof of (cP Xy1)
% 112.74/113.07 Found x21:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x21 as proof of (cP x0)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Found x30 as proof of (cP x0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy0)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy0)
% 112.74/113.07 Found x20:=(x2 x30):(cP Xy)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found (x2 x30) as proof of (cP Xy1)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=Xy1:fofType
% 112.74/113.07 Found x20 as proof of (cP Xy1)
% 112.74/113.07 Found x20:(cP Xy)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x20 as proof of (cP x0)
% 112.74/113.07 Found x30:(cP x0)
% 112.74/113.07 Instantiate: Xy:=x0:fofType
% 112.74/113.07 Found x30 as proof of (cP Xy)
% 112.74/113.07 Found x8:(cP x7)
% 112.74/113.07 Instantiate: Xy:=x7:fofType
% 112.74/113.07 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 112.74/113.07 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 112.74/113.07 Found x8:(cP x7)
% 113.56/113.84 Instantiate: Xy:=x7:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 113.56/113.84 Found x8:(cP x7)
% 113.56/113.84 Instantiate: Xy1:=x7:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x8:(cP x7)
% 113.56/113.84 Instantiate: Xy1:=x7:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Found x20 as proof of (cP Xy1)
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Found x20 as proof of (cP Xy1)
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found x20 as proof of (cP Xy1)
% 113.56/113.84 Found x41:(cP Xy0)
% 113.56/113.84 Instantiate: Xy0:=Xy1:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x41) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x41) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x40:(cP Xy0)
% 113.56/113.84 Instantiate: Xy0:=Xy1:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x40:(cP Xy0)
% 113.56/113.84 Instantiate: Xy0:=Xy1:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy1)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy1))
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Found x21 as proof of (cP Xy1)
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found x21 as proof of (cP Xy1)
% 113.56/113.84 Found x30:(cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 113.56/113.84 Found x60:(cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found x21 as proof of (cP Xy1)
% 113.56/113.84 Found x30:(cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 113.56/113.84 Found x60:(cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 113.56/113.84 Found x20:=(x2 x30):(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy0:fofType
% 113.56/113.84 Found (x2 x30) as proof of (cP Xy0)
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Found x21 as proof of (cP Xy1)
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Found x20 as proof of (cP Xy1)
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy1:fofType
% 113.56/113.84 Found x20 as proof of (cP Xy1)
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy0:fofType
% 113.56/113.84 Found x20 as proof of (cP Xy0)
% 113.56/113.84 Found x22:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=x0:fofType
% 113.56/113.84 Found x22 as proof of (cP x0)
% 113.56/113.84 Found x22:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=x0:fofType
% 113.56/113.84 Found x22 as proof of (cP x0)
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=x0:fofType
% 113.56/113.84 Found x21 as proof of (cP x0)
% 113.56/113.84 Found x21:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=x0:fofType
% 113.56/113.84 Found x21 as proof of (cP x0)
% 113.56/113.84 Found x22:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=x0:fofType
% 113.56/113.84 Found x22 as proof of (cP x0)
% 113.56/113.84 Found x23:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy0:fofType
% 113.56/113.84 Found x23 as proof of (cP Xy0)
% 113.56/113.84 Found x20:(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy0:fofType
% 113.56/113.84 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 113.56/113.84 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 113.56/113.84 Found x31:(cP x0)
% 113.56/113.84 Instantiate: Xy:=x0:fofType
% 113.56/113.84 Found x31 as proof of (cP Xy)
% 113.56/113.84 Found x60:(cP x0)
% 113.56/113.84 Found x60 as proof of (cP x0)
% 113.56/113.84 Found (x2 x60) as proof of (cP Xy0)
% 113.56/113.84 Found (x2 x60) as proof of (cP Xy0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 113.56/113.84 Found x60:(cP x0)
% 113.56/113.84 Found x60 as proof of (cP x0)
% 113.56/113.84 Found (x2 x60) as proof of (cP Xy0)
% 113.56/113.84 Found (x2 x60) as proof of (cP Xy0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 113.56/113.84 Found x20:=(x2 x30):(cP Xy)
% 113.56/113.84 Instantiate: Xy:=Xy0:fofType
% 113.56/113.84 Found (x2 x30) as proof of (cP Xy0)
% 113.56/113.84 Found x60:(cP x0)
% 113.56/113.84 Found x60 as proof of (cP x0)
% 113.56/113.84 Found (x5 x60) as proof of (cP Xy0)
% 113.56/113.84 Found (x5 x60) as proof of (cP Xy0)
% 113.56/113.84 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy0:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy0)
% 114.51/114.77 Found x31:(cP x0)
% 114.51/114.77 Found x31 as proof of (cP x0)
% 114.51/114.77 Found (x2 x31) as proof of (cP Xy0)
% 114.51/114.77 Found (x2 x31) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 114.51/114.77 Found x31:(cP x0)
% 114.51/114.77 Found x31 as proof of (cP x0)
% 114.51/114.77 Found (x5 x31) as proof of (cP Xy0)
% 114.51/114.77 Found (x5 x31) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 114.51/114.77 Found x61:(cP x0)
% 114.51/114.77 Found x61 as proof of (cP x0)
% 114.51/114.77 Found (x5 x61) as proof of (cP Xy0)
% 114.51/114.77 Found (x5 x61) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 114.51/114.77 Found x60:(cP x0)
% 114.51/114.77 Found x60 as proof of (cP x0)
% 114.51/114.77 Found (x5 x60) as proof of (cP Xy0)
% 114.51/114.77 Found (x5 x60) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 114.51/114.77 Found x61:(cP x0)
% 114.51/114.77 Found x61 as proof of (cP x0)
% 114.51/114.77 Found (x2 x61) as proof of (cP Xy0)
% 114.51/114.77 Found (x2 x61) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x20 as proof of (cP x0)
% 114.51/114.77 Found x30:(cP x0)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x30 as proof of (cP Xy)
% 114.51/114.77 Found x21:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x21 as proof of (cP x0)
% 114.51/114.77 Found x21:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x21 as proof of (cP x0)
% 114.51/114.77 Found x20:=(x2 x0):(cP x0)
% 114.51/114.77 Found (x2 x0) as proof of (cP x0)
% 114.51/114.77 Found (x2 x0) as proof of (cP x0)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Found x20 as proof of (cP Xy0)
% 114.51/114.77 Found x22:(cP Xy)
% 114.51/114.77 Found x22 as proof of (cP Xy0)
% 114.51/114.77 Found x21:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x21 as proof of (cP x0)
% 114.51/114.77 Found x31:(cP x0)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x31 as proof of (cP Xy)
% 114.51/114.77 Found x20:=(x2 x30):(cP Xy)
% 114.51/114.77 Found (x2 x30) as proof of (cP Xy0)
% 114.51/114.77 Found (x2 x30) as proof of (cP Xy0)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy1:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy1)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy0:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy0)
% 114.51/114.77 Found x20:=(x2 x30):(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy0:fofType
% 114.51/114.77 Found (x2 x30) as proof of (cP Xy0)
% 114.51/114.77 Found x8:(cP x7)
% 114.51/114.77 Instantiate: Xy:=x7:fofType
% 114.51/114.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 114.51/114.77 Found x21:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy1:fofType
% 114.51/114.77 Found x21 as proof of (cP Xy1)
% 114.51/114.77 Found x8:(cP x7)
% 114.51/114.77 Instantiate: Xy1:=x7:fofType
% 114.51/114.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy1:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy1)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy0:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy0)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy1:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy1)
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy1:fofType
% 114.51/114.77 Found x20 as proof of (cP Xy1)
% 114.51/114.77 Found x31:(cP x0)
% 114.51/114.77 Instantiate: Xy:=x0:fofType
% 114.51/114.77 Found x31 as proof of (cP Xy)
% 114.51/114.77 Found x3:((cP Xy)->(cP x0))
% 114.51/114.77 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 114.51/114.77 Found x3 as proof of ((cP x7)->(cP Xy1))
% 114.51/114.77 Found x3 as proof of ((cP x7)->(cP Xy1))
% 114.51/114.77 Found x20:(cP Xy)
% 114.51/114.77 Instantiate: Xy:=Xy0:fofType
% 114.51/114.77 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 114.51/114.77 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 114.51/114.77 Found x6:((cP Xy1)->(cP x0))
% 114.51/114.77 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 114.51/114.77 Found x6:((cP Xy1)->(cP x0))
% 114.51/114.77 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 114.51/114.77 Found x6:((cP Xy1)->(cP x0))
% 114.51/114.77 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 114.51/114.77 Found x3:((cP Xy)->(cP x0))
% 114.51/114.77 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 114.51/114.77 Found x3 as proof of ((cP x7)->(cP Xy1))
% 114.51/114.77 Found x3 as proof of ((cP x7)->(cP Xy1))
% 114.51/114.77 Found x6:((cP Xy1)->(cP x0))
% 114.51/114.77 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 114.51/114.77 Found x6 as proof of ((cP x7)->(cP Xy))
% 115.44/115.71 Found x6 as proof of ((cP x7)->(cP Xy))
% 115.44/115.71 Found x3:((cP Xy)->(cP x0))
% 115.44/115.71 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 115.44/115.71 Found x3 as proof of ((cP x7)->(cP Xy1))
% 115.44/115.71 Found x3 as proof of ((cP x7)->(cP Xy1))
% 115.44/115.71 Found x3:((cP Xy)->(cP x0))
% 115.44/115.71 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 115.44/115.71 Found x3 as proof of ((cP x7)->(cP Xy1))
% 115.44/115.71 Found x3 as proof of ((cP x7)->(cP Xy1))
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x21 as proof of (cP Xy1)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x60:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x60 as proof of (cP Xy)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x21 as proof of (cP x0)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x21 as proof of (cP x0)
% 115.44/115.71 Found x40:(cP Xy0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x40 as proof of (cP x0)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x21 as proof of (cP Xy1)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x60:(cP x0)
% 115.44/115.71 Instantiate: Xy1:=x0:fofType
% 115.44/115.71 Found x60 as proof of (cP Xy1)
% 115.44/115.71 Found x40:(cP Xy0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x40 as proof of (cP x0)
% 115.44/115.71 Found x30:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x30 as proof of (cP Xy)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x20 as proof of (cP x0)
% 115.44/115.71 Found x31:(cP x0)
% 115.44/115.71 Instantiate: Xy1:=x0:fofType
% 115.44/115.71 Found x31 as proof of (cP Xy1)
% 115.44/115.71 Found x31:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x31 as proof of (cP Xy)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Found x20 as proof of (cP Xy0)
% 115.44/115.71 Found x50:(cP x0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x50 as proof of (cP Xy0)
% 115.44/115.71 Found x31:(cP x0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x31 as proof of (cP Xy0)
% 115.44/115.71 Found x31:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x31 as proof of (cP Xy)
% 115.44/115.71 Found x50:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x50 as proof of (cP Xy)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x20 as proof of (cP x0)
% 115.44/115.71 Found x30:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x30 as proof of (cP Xy)
% 115.44/115.71 Found x41:(cP Xy0)
% 115.44/115.71 Instantiate: Xy:=Xy0:fofType
% 115.44/115.71 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (cP Xy)
% 115.44/115.71 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 115.44/115.71 Found x40:(cP Xy0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x40 as proof of (cP x0)
% 115.44/115.71 Found x40:(cP Xy0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x40 as proof of (cP x0)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 115.44/115.71 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 115.44/115.71 Found x40:(cP Xy0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x40 as proof of (cP x0)
% 115.44/115.71 Found x40:(cP Xy0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x40 as proof of (cP x0)
% 115.44/115.71 Found x50:(cP x0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x50 as proof of (cP Xy0)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy0:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy0)
% 115.44/115.71 Found x31:(cP x0)
% 115.44/115.71 Instantiate: Xy0:=x0:fofType
% 115.44/115.71 Found x31 as proof of (cP Xy0)
% 115.44/115.71 Found x50:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x50 as proof of (cP Xy)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x20 as proof of (cP x0)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy0:=Xy:fofType
% 115.44/115.71 Found x21 as proof of (cP Xy0)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x20 as proof of (cP x0)
% 115.44/115.71 Found x50:(cP x0)
% 115.44/115.71 Found x50 as proof of (cP x0)
% 115.44/115.71 Found x31:(cP x0)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x31 as proof of (cP Xy)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x21 as proof of (cP x0)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy0:=Xy:fofType
% 115.44/115.71 Found x21 as proof of (cP Xy0)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x21 as proof of (cP x0)
% 115.44/115.71 Found x20:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=Xy1:fofType
% 115.44/115.71 Found x20 as proof of (cP Xy1)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x21 as proof of (cP x0)
% 115.44/115.71 Found x21:(cP Xy)
% 115.44/115.71 Instantiate: Xy:=x0:fofType
% 115.44/115.71 Found x21 as proof of (cP x0)
% 115.44/115.71 Found x20:=(x2 x30):(cP Xy)
% 115.44/115.71 Found (x2 x30) as proof of (cP Xy0)
% 115.44/115.71 Found (x2 x30) as proof of (cP Xy0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy0)
% 116.24/116.58 Found x20:=(x2 x0):(cP x0)
% 116.24/116.58 Found (x2 x0) as proof of (cP x0)
% 116.24/116.58 Found (x2 x0) as proof of (cP x0)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Instantiate: Xy0:=x0:fofType
% 116.24/116.58 Found x30 as proof of (cP Xy0)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Instantiate: Xy:=x0:fofType
% 116.24/116.58 Found x30 as proof of (cP Xy)
% 116.24/116.58 Found x41:(cP Xy0)
% 116.24/116.58 Instantiate: Xy0:=x0:fofType
% 116.24/116.58 Found x41 as proof of (cP x0)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found x20:=(x2 Xy):(cP Xy)
% 116.24/116.58 Found (x2 Xy) as proof of (cP Xy)
% 116.24/116.58 Found (x2 Xy) as proof of (cP Xy)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x41:(cP Xy0)
% 116.24/116.58 Instantiate: Xy0:=x0:fofType
% 116.24/116.58 Found x41 as proof of (cP x0)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x41:(cP Xy0)
% 116.24/116.58 Instantiate: Xy:=Xy0:fofType
% 116.24/116.58 Found x41 as proof of (cP Xy)
% 116.24/116.58 Found x21:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=x0:fofType
% 116.24/116.58 Found x21 as proof of (cP x0)
% 116.24/116.58 Found x21:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=Xy1:fofType
% 116.24/116.58 Found x21 as proof of (cP Xy1)
% 116.24/116.58 Found x20:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=Xy1:fofType
% 116.24/116.58 Found x20 as proof of (cP Xy1)
% 116.24/116.58 Found x20:(cP Xy)
% 116.24/116.58 Found x20 as proof of (cP Xy0)
% 116.24/116.58 Found x21:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=x0:fofType
% 116.24/116.58 Found x21 as proof of (cP x0)
% 116.24/116.58 Found x21:(cP Xy)
% 116.24/116.58 Instantiate: Xy0:=Xy:fofType
% 116.24/116.58 Found x21 as proof of (cP Xy0)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x20:=(x2 x30):(cP Xy)
% 116.24/116.58 Instantiate: Xy:=Xy0:fofType
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy0)
% 116.24/116.58 Found x20:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=Xy0:fofType
% 116.24/116.58 Found x20 as proof of (cP Xy0)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x22:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=Xy0:fofType
% 116.24/116.58 Found x22 as proof of (cP Xy0)
% 116.24/116.58 Found x20:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=Xy0:fofType
% 116.24/116.58 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 116.24/116.58 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x50:(cP x0)
% 116.24/116.58 Found x50 as proof of (cP x0)
% 116.24/116.58 Found (x2 x50) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x50) as proof of (cP Xy1)
% 116.24/116.58 Found x31:(cP x0)
% 116.24/116.58 Instantiate: Xy:=x0:fofType
% 116.24/116.58 Found x31 as proof of (cP Xy)
% 116.24/116.58 Found x50:(cP x0)
% 116.24/116.58 Found x50 as proof of (cP x0)
% 116.24/116.58 Found (x4 x50) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x50) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x4 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x30:(cP x0)
% 116.24/116.58 Found x30 as proof of (cP x0)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found (x2 x30) as proof of (cP Xy1)
% 116.24/116.58 Found x20:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=x0:fofType
% 116.24/116.58 Found x20 as proof of (cP x0)
% 116.24/116.58 Found x40:(cP Xy0)
% 116.24/116.58 Instantiate: Xy0:=x0:fofType
% 116.24/116.58 Found x40 as proof of (cP x0)
% 116.24/116.58 Found x00:=(x0 Xy):(cP Xy)
% 116.24/116.58 Found (x0 Xy) as proof of (cP Xy)
% 116.24/116.58 Found (x0 Xy) as proof of (cP Xy)
% 116.24/116.58 Found x20:(cP Xy)
% 116.24/116.58 Instantiate: Xy:=x0:fofType
% 116.24/116.58 Found x20 as proof of (cP x0)
% 116.24/116.58 Found x00:=(x0 x1):(cP x1)
% 116.24/116.58 Found (x0 x1) as proof of (cP x1)
% 116.24/116.58 Found (x0 x1) as proof of (cP x1)
% 117.17/117.45 Found x40:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x40 as proof of (cP x0)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x30 as proof of (cP Xy)
% 117.17/117.45 Found x21:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x21 as proof of (cP x0)
% 117.17/117.45 Found x20:=(x2 x30):(cP Xy)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy1)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy1)
% 117.17/117.45 Found x20:=(x2 x30):(cP Xy)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy1)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy1)
% 117.17/117.45 Found x21:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x21 as proof of (cP x0)
% 117.17/117.45 Found x40:=(x4 x30):(cP Xy0)
% 117.17/117.45 Found (x4 x30) as proof of (cP Xy1)
% 117.17/117.45 Found (x4 x30) as proof of (cP Xy1)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Found x20 as proof of (cP Xy0)
% 117.17/117.45 Found x40:=(x4 x30):(cP Xy0)
% 117.17/117.45 Found (x4 x30) as proof of (cP Xy1)
% 117.17/117.45 Found (x4 x30) as proof of (cP Xy1)
% 117.17/117.45 Found x20:=(x2 x30):(cP Xy)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy1)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy1)
% 117.17/117.45 Found x40:=(x4 x30):(cP Xy0)
% 117.17/117.45 Found (x4 x30) as proof of (cP Xy1)
% 117.17/117.45 Found (x4 x30) as proof of (cP Xy1)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Found x30 as proof of (cP x0)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x20 as proof of (cP x0)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x20 as proof of (cP x0)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x30 as proof of (cP Xy)
% 117.17/117.45 Found x50:(cP x0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x50 as proof of (cP Xy0)
% 117.17/117.45 Found x50:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x50 as proof of (cP Xy)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x30 as proof of (cP Xy0)
% 117.17/117.45 Found x51:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x51 as proof of (cP Xy)
% 117.17/117.45 Found x31:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x31 as proof of (cP Xy)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=Xy1:fofType
% 117.17/117.45 Found x20 as proof of (cP Xy1)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Found x20 as proof of (cP Xy1)
% 117.17/117.45 Found x31:(cP x0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x31 as proof of (cP Xy0)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=Xy0:fofType
% 117.17/117.45 Found x20 as proof of (cP Xy0)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x30 as proof of (cP Xy)
% 117.17/117.45 Found x20:=(x2 x30):(cP Xy)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy0)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy0)
% 117.17/117.45 Found (x2 x30) as proof of (cP Xy0)
% 117.17/117.45 Found x51:(cP x0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x51 as proof of (cP Xy0)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x20 as proof of (cP x0)
% 117.17/117.45 Found x40:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x40 as proof of (cP x0)
% 117.17/117.45 Found x40:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=Xy1:fofType
% 117.17/117.45 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 117.17/117.45 Found (fun (x7:fofType) (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 117.17/117.45 Found (fun (x7:fofType) (x8:(cP x7))=> x40) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=Xy1:fofType
% 117.17/117.45 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 117.17/117.45 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 117.17/117.45 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=Xy0:fofType
% 117.17/117.45 Found x20 as proof of (cP Xy0)
% 117.17/117.45 Found x41:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x41 as proof of (cP x0)
% 117.17/117.45 Found x41:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x41 as proof of (cP x0)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x20 as proof of (cP x0)
% 117.17/117.45 Found x41:(cP Xy0)
% 117.17/117.45 Instantiate: Xy:=Xy0:fofType
% 117.17/117.45 Found x41 as proof of (cP Xy)
% 117.17/117.45 Found x40:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x40 as proof of (cP x0)
% 117.17/117.45 Found x21:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x21 as proof of (cP x0)
% 117.17/117.45 Found x21:(cP Xy)
% 117.17/117.45 Instantiate: Xy0:=Xy:fofType
% 117.17/117.45 Found x21 as proof of (cP Xy0)
% 117.17/117.45 Found x8:(cP x7)
% 117.17/117.45 Instantiate: Xy1:=x7:fofType
% 117.17/117.45 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Found x20 as proof of (cP Xy1)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Found x30 as proof of (cP x0)
% 117.17/117.45 Found x41:(cP Xy0)
% 117.17/117.45 Instantiate: Xy0:=x0:fofType
% 117.17/117.45 Found x41 as proof of (cP x0)
% 117.17/117.45 Found x30:(cP x0)
% 117.17/117.45 Instantiate: Xy:=x0:fofType
% 117.17/117.45 Found x30 as proof of (cP Xy)
% 117.17/117.45 Found x41:(cP Xy0)
% 117.17/117.45 Instantiate: Xy:=Xy0:fofType
% 117.17/117.45 Found x41 as proof of (cP Xy)
% 117.17/117.45 Found x8:(cP x7)
% 117.17/117.45 Instantiate: Xy:=x7:fofType
% 117.17/117.45 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 117.17/117.45 Found x20:(cP Xy)
% 117.17/117.45 Instantiate: Xy:=Xy1:fofType
% 117.17/117.45 Found (fun (x8:(cP x7))=> x20) as proof of (cP Xy1)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of ((cP x7)->(cP Xy1))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 117.91/118.24 Found x21:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy1:fofType
% 117.91/118.24 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy1)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy1))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 117.91/118.24 Found x41:(cP Xy0)
% 117.91/118.24 Instantiate: Xy0:=Xy1:fofType
% 117.91/118.24 Found (fun (x8:(cP x7))=> x41) as proof of (cP Xy1)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x41) as proof of ((cP x7)->(cP Xy1))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x41) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 117.91/118.24 Found x40:(cP Xy0)
% 117.91/118.24 Instantiate: Xy0:=Xy1:fofType
% 117.91/118.24 Found (fun (x8:(cP x7))=> x40) as proof of (cP Xy1)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x40) as proof of ((cP x7)->(cP Xy1))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x40) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 117.91/118.24 Found x21:(cP Xy)
% 117.91/118.24 Found x21 as proof of (cP Xy1)
% 117.91/118.24 Found x8:(cP x7)
% 117.91/118.24 Instantiate: Xy1:=x7:fofType
% 117.91/118.24 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 117.91/118.24 Found x21:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=x0:fofType
% 117.91/118.24 Found x21 as proof of (cP x0)
% 117.91/118.24 Found x41:(cP Xy0)
% 117.91/118.24 Instantiate: Xy0:=x0:fofType
% 117.91/118.24 Found x41 as proof of (cP x0)
% 117.91/118.24 Found x50:(cP x0)
% 117.91/118.24 Found x50 as proof of (cP x0)
% 117.91/118.24 Found x50:(cP x0)
% 117.91/118.24 Instantiate: Xy0:=x0:fofType
% 117.91/118.24 Found x50 as proof of (cP Xy0)
% 117.91/118.24 Found x8:(cP x7)
% 117.91/118.24 Instantiate: Xy:=x7:fofType
% 117.91/118.24 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 117.91/118.24 Found x30:(cP x0)
% 117.91/118.24 Instantiate: Xy0:=x0:fofType
% 117.91/118.24 Found x30 as proof of (cP Xy0)
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Found x20 as proof of (cP Xy0)
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy1:fofType
% 117.91/118.24 Found x20 as proof of (cP Xy1)
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Instantiate: Xy0:=Xy:fofType
% 117.91/118.24 Found x20 as proof of (cP Xy0)
% 117.91/118.24 Found x50:(cP x0)
% 117.91/118.24 Instantiate: Xy:=x0:fofType
% 117.91/118.24 Found x50 as proof of (cP Xy)
% 117.91/118.24 Found x21:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy1:fofType
% 117.91/118.24 Found x21 as proof of (cP Xy1)
% 117.91/118.24 Found x40:(cP Xy0)
% 117.91/118.24 Instantiate: Xy:=Xy0:fofType
% 117.91/118.24 Found x40 as proof of (cP Xy)
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy0:fofType
% 117.91/118.24 Found x20 as proof of (cP Xy0)
% 117.91/118.24 Found x20:=(x2 x30):(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy0:fofType
% 117.91/118.24 Found (x2 x30) as proof of (cP Xy0)
% 117.91/118.24 Found x60:(cP x0)
% 117.91/118.24 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 117.91/118.24 Found x30:(cP x0)
% 117.91/118.24 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 117.91/118.24 Found x60:(cP x0)
% 117.91/118.24 Found (fun (x8:(cP x7))=> x60) as proof of (cP x0)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of ((cP x7)->(cP x0))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x60) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 117.91/118.24 Found x30:(cP x0)
% 117.91/118.24 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 117.91/118.24 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 117.91/118.24 Found x21:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=x0:fofType
% 117.91/118.24 Found x21 as proof of (cP x0)
% 117.91/118.24 Found x21:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=x0:fofType
% 117.91/118.24 Found x21 as proof of (cP x0)
% 117.91/118.24 Found x22:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=x0:fofType
% 117.91/118.24 Found x22 as proof of (cP x0)
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy0:fofType
% 117.91/118.24 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 117.91/118.24 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 117.91/118.24 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=x0:fofType
% 117.91/118.24 Found x20 as proof of (cP x0)
% 117.91/118.24 Found x20:(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy0:fofType
% 117.91/118.24 Found x20 as proof of (cP Xy0)
% 117.91/118.24 Found x20:=(x2 x30):(cP Xy)
% 117.91/118.24 Instantiate: Xy:=Xy0:fofType
% 117.91/118.24 Found (x2 x30) as proof of (cP Xy0)
% 117.91/118.24 Found x61:(cP x0)
% 117.91/118.24 Found x61 as proof of (cP x0)
% 117.91/118.24 Found (x5 x61) as proof of (cP Xy0)
% 117.91/118.24 Found (x5 x61) as proof of (cP Xy0)
% 117.91/118.24 Found (fun (x8:(cP x7))=> (x5 x61)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x61)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x61:(cP x0)
% 118.67/118.94 Found x61 as proof of (cP x0)
% 118.67/118.94 Found (x2 x61) as proof of (cP Xy0)
% 118.67/118.94 Found (x2 x61) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x60:(cP x0)
% 118.67/118.94 Found x60 as proof of (cP x0)
% 118.67/118.94 Found (x2 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (x2 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x20 as proof of (cP x0)
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=Xy0:fofType
% 118.67/118.94 Found x20 as proof of (cP Xy0)
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x20 as proof of (cP x0)
% 118.67/118.94 Found x30:(cP x0)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x30 as proof of (cP Xy)
% 118.67/118.94 Found x60:(cP x0)
% 118.67/118.94 Found x60 as proof of (cP x0)
% 118.67/118.94 Found (x2 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (x2 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x2 x60)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x60:(cP x0)
% 118.67/118.94 Found x60 as proof of (cP x0)
% 118.67/118.94 Found (x5 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (x5 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x21:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x21 as proof of (cP x0)
% 118.67/118.94 Found x60:(cP x0)
% 118.67/118.94 Found x60 as proof of (cP x0)
% 118.67/118.94 Found (x5 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (x5 x60) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x5 x60)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x60)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x31:(cP x0)
% 118.67/118.94 Found x31 as proof of (cP x0)
% 118.67/118.94 Found (x5 x31) as proof of (cP Xy0)
% 118.67/118.94 Found (x5 x31) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x5 x31)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x31)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x31:(cP x0)
% 118.67/118.94 Found x31 as proof of (cP x0)
% 118.67/118.94 Found (x2 x31) as proof of (cP Xy0)
% 118.67/118.94 Found (x2 x31) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy0)
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy0))
% 118.67/118.94 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=Xy0:fofType
% 118.67/118.94 Found x20 as proof of (cP Xy0)
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Found x20 as proof of (cP Xy0)
% 118.67/118.94 Found x22:(cP Xy)
% 118.67/118.94 Found x22 as proof of (cP Xy0)
% 118.67/118.94 Found x30:(cP x0)
% 118.67/118.94 Instantiate: Xy0:=x0:fofType
% 118.67/118.94 Found x30 as proof of (cP Xy0)
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=Xy1:fofType
% 118.67/118.94 Found x20 as proof of (cP Xy1)
% 118.67/118.94 Found x50:(cP x0)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x50 as proof of (cP Xy)
% 118.67/118.94 Found x50:(cP x0)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x50 as proof of (cP Xy)
% 118.67/118.94 Found x20:=(x2 x30):(cP Xy)
% 118.67/118.94 Found (x2 x30) as proof of (cP Xy0)
% 118.67/118.94 Found (x2 x30) as proof of (cP Xy0)
% 118.67/118.94 Found x30:(cP x0)
% 118.67/118.94 Instantiate: Xy0:=x0:fofType
% 118.67/118.94 Found x30 as proof of (cP Xy0)
% 118.67/118.94 Found x20:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=Xy1:fofType
% 118.67/118.94 Found x20 as proof of (cP Xy1)
% 118.67/118.94 Found x21:(cP Xy)
% 118.67/118.94 Instantiate: Xy:=Xy1:fofType
% 118.67/118.94 Found x21 as proof of (cP Xy1)
% 118.67/118.94 Found x31:(cP x0)
% 118.67/118.94 Instantiate: Xy:=x0:fofType
% 118.67/118.94 Found x31 as proof of (cP Xy)
% 118.67/118.94 Found x20:=(x2 x30):(cP Xy)
% 118.67/118.94 Instantiate: Xy:=Xy0:fofType
% 118.67/118.94 Found (x2 x30) as proof of (cP Xy0)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy0:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy0)
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy1:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy1)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy1:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy1)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy0:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy0)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy1:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy1)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy0:fofType
% 119.94/120.20 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 119.94/120.20 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 119.94/120.20 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 119.94/120.20 Found x6:((cP Xy1)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 119.94/120.20 Found x6 as proof of ((cP x7)->(cP Xy))
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy1:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy1)
% 119.94/120.20 Found x3:((cP Xy)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 119.94/120.20 Found x3 as proof of ((cP x7)->(cP Xy1))
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy1:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy1)
% 119.94/120.20 Found x20:=(x2 x30):(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy0:fofType
% 119.94/120.20 Found (x2 x30) as proof of (cP Xy0)
% 119.94/120.20 Found x60:(cP x0)
% 119.94/120.20 Instantiate: Xy1:=x0:fofType
% 119.94/120.20 Found x60 as proof of (cP Xy1)
% 119.94/120.20 Found x6:((cP Xy1)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 119.94/120.20 Found x6 as proof of ((cP x7)->(cP Xy))
% 119.94/120.20 Found x6:((cP Xy1)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 119.94/120.20 Found x6 as proof of ((cP x7)->(cP Xy))
% 119.94/120.20 Found x3:((cP Xy)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 119.94/120.20 Found x3 as proof of ((cP x7)->(cP Xy1))
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy)
% 119.94/120.20 Found x21:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy1:fofType
% 119.94/120.20 Found x21 as proof of (cP Xy1)
% 119.94/120.20 Found x6:((cP Xy1)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x7:fofType;Xy:=x0:fofType
% 119.94/120.20 Found x6 as proof of ((cP x7)->(cP Xy))
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x20 as proof of (cP x0)
% 119.94/120.20 Found x60:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x60 as proof of (cP Xy)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy0:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy0)
% 119.94/120.20 Found x3:((cP Xy)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 119.94/120.20 Found x3 as proof of ((cP x7)->(cP Xy1))
% 119.94/120.20 Found x3:((cP Xy)->(cP x0))
% 119.94/120.20 Instantiate: Xy1:=x0:fofType;Xy:=x7:fofType
% 119.94/120.20 Found x3 as proof of ((cP x7)->(cP Xy1))
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy)
% 119.94/120.20 Found x21:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x21 as proof of (cP x0)
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy0)
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy)
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy)
% 119.94/120.20 Found x50:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x50 as proof of (cP Xy)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x20 as proof of (cP x0)
% 119.94/120.20 Found x21:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x21 as proof of (cP x0)
% 119.94/120.20 Found x31:(cP x0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x31 as proof of (cP Xy0)
% 119.94/120.20 Found x50:(cP x0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x50 as proof of (cP Xy0)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x20 as proof of (cP x0)
% 119.94/120.20 Found x40:(cP Xy0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x40 as proof of (cP x0)
% 119.94/120.20 Found x20:=(x2 x30):(cP Xy)
% 119.94/120.20 Found (x2 x30) as proof of (cP Xy0)
% 119.94/120.20 Found (x2 x30) as proof of (cP Xy0)
% 119.94/120.20 Found x40:(cP Xy0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x40 as proof of (cP x0)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=Xy0:fofType
% 119.94/120.20 Found x20 as proof of (cP Xy0)
% 119.94/120.20 Found x30:(cP x0)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x30 as proof of (cP Xy)
% 119.94/120.20 Found x40:(cP Xy0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x40 as proof of (cP x0)
% 119.94/120.20 Found x40:(cP Xy0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x40 as proof of (cP x0)
% 119.94/120.20 Found x21:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x21 as proof of (cP x0)
% 119.94/120.20 Found x21:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x21 as proof of (cP x0)
% 119.94/120.20 Found x20:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x20 as proof of (cP x0)
% 119.94/120.20 Found x50:(cP x0)
% 119.94/120.20 Found x50 as proof of (cP x0)
% 119.94/120.20 Found x50:(cP x0)
% 119.94/120.20 Instantiate: Xy0:=x0:fofType
% 119.94/120.20 Found x50 as proof of (cP Xy0)
% 119.94/120.20 Found x21:(cP Xy)
% 119.94/120.20 Instantiate: Xy:=x0:fofType
% 119.94/120.20 Found x21 as proof of (cP x0)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy0:=Xy:fofType
% 120.96/121.25 Found x21 as proof of (cP Xy0)
% 120.96/121.25 Found x50:(cP x0)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x50 as proof of (cP Xy)
% 120.96/121.25 Found x20:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy1:fofType
% 120.96/121.25 Found x20 as proof of (cP Xy1)
% 120.96/121.25 Found x20:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x20 as proof of (cP x0)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy0:=Xy:fofType
% 120.96/121.25 Found x21 as proof of (cP Xy0)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x21 as proof of (cP x0)
% 120.96/121.25 Found x30:=(x3 x40):(cP Xy0)
% 120.96/121.25 Found (x3 x40) as proof of (cP Xy)
% 120.96/121.25 Found (x3 x40) as proof of (cP Xy)
% 120.96/121.25 Found (x3 x40) as proof of (cP Xy)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x21 as proof of (cP x0)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x30 as proof of (cP Xy)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Instantiate: Xy0:=x0:fofType
% 120.96/121.25 Found x30 as proof of (cP Xy0)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy0:=Xy:fofType
% 120.96/121.25 Found x21 as proof of (cP Xy0)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x21 as proof of (cP x0)
% 120.96/121.25 Found x41:(cP Xy0)
% 120.96/121.25 Instantiate: Xy0:=x0:fofType
% 120.96/121.25 Found x41 as proof of (cP x0)
% 120.96/121.25 Found x41:(cP Xy0)
% 120.96/121.25 Instantiate: Xy0:=x0:fofType
% 120.96/121.25 Found x41 as proof of (cP x0)
% 120.96/121.25 Found x22:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found x22 as proof of (cP Xy0)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy1:fofType
% 120.96/121.25 Found x21 as proof of (cP Xy1)
% 120.96/121.25 Found x20:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy1:fofType
% 120.96/121.25 Found x20 as proof of (cP Xy1)
% 120.96/121.25 Found x41:(cP Xy0)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found x41 as proof of (cP Xy)
% 120.96/121.25 Found x20:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found x20 as proof of (cP Xy0)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x4 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found x30 as proof of (cP x0)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy1)
% 120.96/121.25 Found x20:=(x2 x30):(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found (x2 x30) as proof of (cP Xy0)
% 120.96/121.25 Found x20:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found x20 as proof of (cP Xy0)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 120.96/121.25 Found x50:(cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 120.96/121.25 Found x50:(cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 120.96/121.25 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 120.96/121.25 Found x31:(cP x0)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x31 as proof of (cP Xy)
% 120.96/121.25 Found x22:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found x22 as proof of (cP Xy0)
% 120.96/121.25 Found x20:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=Xy0:fofType
% 120.96/121.25 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 120.96/121.25 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 120.96/121.25 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 120.96/121.25 Found x31:(cP x0)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x31 as proof of (cP Xy)
% 120.96/121.25 Found x50:(cP x0)
% 120.96/121.25 Instantiate: Xy0:=x0:fofType
% 120.96/121.25 Found x50 as proof of (cP Xy0)
% 120.96/121.25 Found x31:(cP x0)
% 120.96/121.25 Instantiate: Xy0:=x0:fofType
% 120.96/121.25 Found x31 as proof of (cP Xy0)
% 120.96/121.25 Found x50:(cP x0)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x50 as proof of (cP Xy)
% 120.96/121.25 Found x21:(cP Xy)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 120.96/121.25 Found x21 as proof of (cP x0)
% 120.96/121.25 Found x30:(cP x0)
% 120.96/121.25 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x30 as proof of (cP Xy)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x20 as proof of (cP x0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x20 as proof of (cP x0)
% 122.01/122.28 Found x20:=(x2 x30):(cP Xy)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy0)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy0)
% 122.01/122.28 Found x40:(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x40 as proof of (cP x0)
% 122.01/122.28 Found x20:=(x2 x30):(cP Xy)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy1)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy1)
% 122.01/122.28 Found x40:(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x40 as proof of (cP x0)
% 122.01/122.28 Found x40:=(x4 x30):(cP Xy0)
% 122.01/122.28 Found (x4 x30) as proof of (cP Xy1)
% 122.01/122.28 Found (x4 x30) as proof of (cP Xy1)
% 122.01/122.28 Found x21:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x21 as proof of (cP x0)
% 122.01/122.28 Found x8:(cP x7)
% 122.01/122.28 Instantiate: Xy:=x7:fofType
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 122.01/122.28 Found x8:(cP x7)
% 122.01/122.28 Instantiate: Xy:=x7:fofType
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 122.01/122.28 Found x8:(cP x7)
% 122.01/122.28 Instantiate: Xy0:=x7:fofType
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 122.01/122.28 Found x8:(cP x7)
% 122.01/122.28 Instantiate: Xy0:=x7:fofType
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 122.01/122.28 Found x40:(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x40 as proof of (cP x0)
% 122.01/122.28 Found x40:(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x40 as proof of (cP x0)
% 122.01/122.28 Found x50:(cP x0)
% 122.01/122.28 Found x50 as proof of (cP x0)
% 122.01/122.28 Found x50:(cP x0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x50 as proof of (cP Xy0)
% 122.01/122.28 Found x8:(cP x7)
% 122.01/122.28 Instantiate: Xy0:=x7:fofType
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 122.01/122.28 Found x8:(cP x7)
% 122.01/122.28 Instantiate: Xy:=x7:fofType
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 122.01/122.28 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 122.01/122.28 Found x21:(cP Xy)
% 122.01/122.28 Instantiate: Xy0:=Xy:fofType
% 122.01/122.28 Found x21 as proof of (cP Xy0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x20 as proof of (cP x0)
% 122.01/122.28 Found x21:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x21 as proof of (cP x0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x20 as proof of (cP x0)
% 122.01/122.28 Found x21:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x21 as proof of (cP x0)
% 122.01/122.28 Found x50:(cP x0)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x50 as proof of (cP Xy)
% 122.01/122.28 Found x30:(cP x0)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x30 as proof of (cP Xy)
% 122.01/122.28 Found x30:(cP x0)
% 122.01/122.28 Found x30 as proof of (cP x0)
% 122.01/122.28 Found x41:(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x41 as proof of (cP x0)
% 122.01/122.28 Found x30:=(x3 x40):(cP Xy0)
% 122.01/122.28 Found (x3 x40) as proof of (cP Xy)
% 122.01/122.28 Found (x3 x40) as proof of (cP Xy)
% 122.01/122.28 Found (x3 x40) as proof of (cP Xy)
% 122.01/122.28 Found x41:(cP Xy0)
% 122.01/122.28 Instantiate: Xy:=Xy0:fofType
% 122.01/122.28 Found x41 as proof of (cP Xy)
% 122.01/122.28 Found x41:(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x41 as proof of (cP x0)
% 122.01/122.28 Found x30:(cP x0)
% 122.01/122.28 Instantiate: Xy0:=x0:fofType
% 122.01/122.28 Found x30 as proof of (cP Xy0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=Xy0:fofType
% 122.01/122.28 Found x20 as proof of (cP Xy0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Found x20 as proof of (cP Xy0)
% 122.01/122.28 Found x22:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=Xy0:fofType
% 122.01/122.28 Found x22 as proof of (cP Xy0)
% 122.01/122.28 Found x20:=(x2 x30):(cP Xy)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy0)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy0)
% 122.01/122.28 Found (x2 x30) as proof of (cP Xy0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=Xy1:fofType
% 122.01/122.28 Found x20 as proof of (cP Xy1)
% 122.01/122.28 Found x20:=(x2 Xy):(cP Xy)
% 122.01/122.28 Found (x2 Xy) as proof of (cP Xy)
% 122.01/122.28 Found (x2 Xy) as proof of (cP Xy)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Found x20 as proof of (cP Xy1)
% 122.01/122.28 Found x20:=(x2 x0):(cP x0)
% 122.01/122.28 Found (x2 x0) as proof of (cP x0)
% 122.01/122.28 Found (x2 x0) as proof of (cP x0)
% 122.01/122.28 Found x21:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x21 as proof of (cP x0)
% 122.01/122.28 Found x21:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=x0:fofType
% 122.01/122.28 Found x21 as proof of (cP x0)
% 122.01/122.28 Found x20:(cP Xy)
% 122.01/122.28 Instantiate: Xy:=Xy1:fofType
% 122.01/122.28 Found x20 as proof of (cP Xy1)
% 122.01/122.28 Found x20:=(x2 x51):(cP Xy)
% 122.01/122.28 Instantiate: Xy:=Xy1:fofType
% 122.01/122.28 Found (x2 x51) as proof of (cP Xy1)
% 122.01/122.28 Found (x2 x51) as proof of (cP Xy1)
% 122.01/122.28 Found x40:=(x4 x50):(cP Xy0)
% 122.01/122.28 Instantiate: Xy0:=Xy1:fofType
% 122.01/122.28 Found (x4 x50) as proof of (cP Xy1)
% 122.01/122.28 Found (x4 x50) as proof of (cP Xy1)
% 122.82/123.18 Found x20:=(x2 x30):(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy1:fofType
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy1)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy1)
% 122.82/123.18 Found x40:=(x4 x30):(cP Xy0)
% 122.82/123.18 Instantiate: Xy0:=Xy1:fofType
% 122.82/123.18 Found (x4 x30) as proof of (cP Xy1)
% 122.82/123.18 Found (x4 x30) as proof of (cP Xy1)
% 122.82/123.18 Found x20:=(x2 x31):(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy1:fofType
% 122.82/123.18 Found (x2 x31) as proof of (cP Xy1)
% 122.82/123.18 Found (x2 x31) as proof of (cP Xy1)
% 122.82/123.18 Found x40:=(x4 x31):(cP Xy0)
% 122.82/123.18 Instantiate: Xy0:=Xy1:fofType
% 122.82/123.18 Found (x4 x31) as proof of (cP Xy1)
% 122.82/123.18 Found (x4 x31) as proof of (cP Xy1)
% 122.82/123.18 Found x20:=(x2 x50):(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy1:fofType
% 122.82/123.18 Found (x2 x50) as proof of (cP Xy1)
% 122.82/123.18 Found (x2 x50) as proof of (cP Xy1)
% 122.82/123.18 Found x40:=(x4 x51):(cP Xy0)
% 122.82/123.18 Instantiate: Xy0:=Xy1:fofType
% 122.82/123.18 Found (x4 x51) as proof of (cP Xy1)
% 122.82/123.18 Found (x4 x51) as proof of (cP Xy1)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Found x30 as proof of (cP x0)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy0)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy0)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy0)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Found x20 as proof of (cP Xy1)
% 122.82/123.18 Found x21:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy1:fofType
% 122.82/123.18 Found x21 as proof of (cP Xy1)
% 122.82/123.18 Found x21:(cP Xy)
% 122.82/123.18 Found x21 as proof of (cP Xy1)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x20 as proof of (cP x0)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x20 as proof of (cP x0)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x30 as proof of (cP Xy)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x20 as proof of (cP x0)
% 122.82/123.18 Found x31:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x31 as proof of (cP Xy)
% 122.82/123.18 Found x21:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x21 as proof of (cP x0)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x30 as proof of (cP Xy)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Found x20 as proof of (cP Xy0)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x20 as proof of (cP x0)
% 122.82/123.18 Found x50:(cP x0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x50 as proof of (cP Xy0)
% 122.82/123.18 Found x31:(cP x0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x31 as proof of (cP Xy0)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x30 as proof of (cP Xy)
% 122.82/123.18 Found x51:(cP x0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x51 as proof of (cP Xy0)
% 122.82/123.18 Found x51:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x51 as proof of (cP Xy)
% 122.82/123.18 Found x31:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x31 as proof of (cP Xy)
% 122.82/123.18 Found x50:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x50 as proof of (cP Xy)
% 122.82/123.18 Found x20:=(x2 x30):(cP Xy)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy0)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy0)
% 122.82/123.18 Found (x2 x30) as proof of (cP Xy0)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x30 as proof of (cP Xy0)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x20 as proof of (cP x0)
% 122.82/123.18 Found x40:(cP Xy0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x40 as proof of (cP x0)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x20 as proof of (cP x0)
% 122.82/123.18 Found x40:(cP Xy0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x40 as proof of (cP x0)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x30 as proof of (cP Xy)
% 122.82/123.18 Found x21:(cP Xy)
% 122.82/123.18 Instantiate: Xy0:=Xy:fofType
% 122.82/123.18 Found x21 as proof of (cP Xy0)
% 122.82/123.18 Found x50:(cP x0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x50 as proof of (cP Xy0)
% 122.82/123.18 Found x30:(cP x0)
% 122.82/123.18 Instantiate: Xy0:=x0:fofType
% 122.82/123.18 Found x30 as proof of (cP Xy0)
% 122.82/123.18 Found x20:(cP Xy)
% 122.82/123.18 Found x20 as proof of (cP Xy0)
% 122.82/123.18 Found x41:(cP Xy0)
% 122.82/123.18 Instantiate: Xy:=Xy0:fofType
% 122.82/123.18 Found x41 as proof of (cP Xy)
% 122.82/123.18 Found x50:(cP x0)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x50 as proof of (cP Xy)
% 122.82/123.18 Found x50:(cP x0)
% 122.82/123.18 Found x50 as proof of (cP x0)
% 122.82/123.18 Found x22:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=x0:fofType
% 122.82/123.18 Found x22 as proof of (cP x0)
% 122.82/123.18 Found x23:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy0:fofType
% 122.82/123.18 Found x23 as proof of (cP Xy0)
% 122.82/123.18 Found x22:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy0:fofType
% 122.82/123.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (cP Xy0)
% 122.82/123.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 122.82/123.18 Found x21:(cP Xy)
% 122.82/123.18 Instantiate: Xy:=Xy0:fofType
% 122.82/123.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (cP Xy0)
% 122.82/123.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 122.82/123.18 Found x50:(cP Xy1)
% 122.82/123.18 Instantiate: Xy1:=Xy0:fofType
% 122.82/123.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 122.82/123.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x51:(cP Xy1)
% 123.65/123.99 Instantiate: Xy1:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x20:(cP Xy)
% 123.65/123.99 Instantiate: Xy0:=Xy:fofType
% 123.65/123.99 Found x20 as proof of (cP Xy0)
% 123.65/123.99 Found x31:(cP x0)
% 123.65/123.99 Instantiate: Xy1:=x0:fofType
% 123.65/123.99 Found x31 as proof of (cP Xy1)
% 123.65/123.99 Found x31:(cP x0)
% 123.65/123.99 Instantiate: Xy:=x0:fofType
% 123.65/123.99 Found x31 as proof of (cP Xy)
% 123.65/123.99 Found x21:(cP Xy)
% 123.65/123.99 Instantiate: Xy:=x0:fofType
% 123.65/123.99 Found x21 as proof of (cP x0)
% 123.65/123.99 Found x41:(cP Xy0)
% 123.65/123.99 Instantiate: Xy0:=x0:fofType
% 123.65/123.99 Found x41 as proof of (cP x0)
% 123.65/123.99 Found x41:(cP Xy0)
% 123.65/123.99 Instantiate: Xy0:=x0:fofType
% 123.65/123.99 Found x41 as proof of (cP x0)
% 123.65/123.99 Found x22:(cP Xy)
% 123.65/123.99 Instantiate: Xy:=Xy0:fofType
% 123.65/123.99 Found x22 as proof of (cP Xy0)
% 123.65/123.99 Found x30:(cP x0)
% 123.65/123.99 Found x30 as proof of (cP x0)
% 123.65/123.99 Found x21:(cP Xy)
% 123.65/123.99 Instantiate: Xy:=x0:fofType
% 123.65/123.99 Found x21 as proof of (cP x0)
% 123.65/123.99 Found x40:(cP Xy0)
% 123.65/123.99 Instantiate: Xy:=Xy0:fofType
% 123.65/123.99 Found x40 as proof of (cP Xy)
% 123.65/123.99 Found x22:(cP Xy)
% 123.65/123.99 Found x22 as proof of (cP Xy0)
% 123.65/123.99 Found x20:=(x2 Xy):(cP Xy)
% 123.65/123.99 Found (x2 Xy) as proof of (cP Xy)
% 123.65/123.99 Found (x2 Xy) as proof of (cP Xy)
% 123.65/123.99 Found x50:(cP Xy1)
% 123.65/123.99 Instantiate: Xy1:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x5:((cP Xy0)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x5:((cP Xy0)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x5:((cP Xy0)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x3:((cP Xy)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x21:(cP Xy)
% 123.65/123.99 Instantiate: Xy:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x51:(cP Xy1)
% 123.65/123.99 Instantiate: Xy1:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x3:((cP Xy)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x3:((cP Xy)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x20:=(x2 x0):(cP x0)
% 123.65/123.99 Found (x2 x0) as proof of (cP x0)
% 123.65/123.99 Found (x2 x0) as proof of (cP x0)
% 123.65/123.99 Found x3:((cP Xy)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x3 as proof of ((cP x7)->(cP Xy0))
% 123.65/123.99 Found x51:(cP Xy1)
% 123.65/123.99 Instantiate: Xy1:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x5:((cP Xy0)->(cP x0))
% 123.65/123.99 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x5 as proof of ((cP x7)->(cP Xy))
% 123.65/123.99 Found x20:(cP Xy)
% 123.65/123.99 Instantiate: Xy:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x52:(cP Xy1)
% 123.65/123.99 Instantiate: Xy1:=Xy0:fofType
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x52) as proof of (cP Xy0)
% 123.65/123.99 Found (fun (x6:((cP Xy1)->(cP x0)))=> x52) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 123.65/123.99 Found x20:(cP Xy)
% 123.65/123.99 Instantiate: Xy:=Xy0:fofType
% 123.65/123.99 Found x20 as proof of (cP Xy0)
% 123.65/123.99 Found x31:(cP x0)
% 123.65/123.99 Instantiate: Xy:=x0:fofType
% 123.65/123.99 Found x31 as proof of (cP Xy)
% 123.65/123.99 Found x31:(cP x0)
% 123.65/123.99 Instantiate: Xy:=x0:fofType
% 123.65/123.99 Found x31 as proof of (cP Xy)
% 123.65/123.99 Found x20:=(x2 x30):(cP Xy)
% 123.65/123.99 Instantiate: Xy:=Xy0:fofType
% 123.65/123.99 Found (x2 x30) as proof of (cP Xy0)
% 123.65/123.99 Found x30:(cP x0)
% 123.65/123.99 Instantiate: Xy:=x0:fofType
% 123.65/123.99 Found x30 as proof of (cP Xy)
% 123.65/123.99 Found x31:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x31 as proof of (cP Xy0)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x30 as proof of (cP Xy0)
% 125.51/125.87 Found x51:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x51 as proof of (cP Xy0)
% 125.51/125.87 Found x31:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x31 as proof of (cP Xy0)
% 125.51/125.87 Found x50:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x50 as proof of (cP Xy0)
% 125.51/125.87 Found x51:(cP x0)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x51 as proof of (cP Xy)
% 125.51/125.87 Found x50:(cP x0)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x50 as proof of (cP Xy)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy1:fofType
% 125.51/125.87 Found x20 as proof of (cP Xy1)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy1:fofType
% 125.51/125.87 Found x20 as proof of (cP Xy1)
% 125.51/125.87 Found x40:(cP Xy0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x40 as proof of (cP x0)
% 125.51/125.87 Found x40:(cP Xy0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x40 as proof of (cP x0)
% 125.51/125.87 Found x40:(cP Xy0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x40 as proof of (cP x0)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x20 as proof of (cP x0)
% 125.51/125.87 Found x40:(cP Xy0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x40 as proof of (cP x0)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x20 as proof of (cP x0)
% 125.51/125.87 Found x50:(cP x0)
% 125.51/125.87 Found x50 as proof of (cP x0)
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x21 as proof of (cP x0)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x30 as proof of (cP Xy)
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy0:=Xy:fofType
% 125.51/125.87 Found x21 as proof of (cP Xy0)
% 125.51/125.87 Found x50:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x50 as proof of (cP Xy0)
% 125.51/125.87 Found x41:(cP Xy0)
% 125.51/125.87 Instantiate: Xy:=Xy0:fofType
% 125.51/125.87 Found x41 as proof of (cP Xy)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x30 as proof of (cP Xy)
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x21 as proof of (cP x0)
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy0:=Xy:fofType
% 125.51/125.87 Found x21 as proof of (cP Xy0)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Found x30 as proof of (cP x0)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x30 as proof of (cP Xy0)
% 125.51/125.87 Found x40:=(x4 x5):(cP x5)
% 125.51/125.87 Found (x4 x5) as proof of (cP x5)
% 125.51/125.87 Found (x4 x5) as proof of (cP x5)
% 125.51/125.87 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x21 as proof of (cP x0)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x20 as proof of (cP x0)
% 125.51/125.87 Found x20:=(x2 x30):(cP Xy)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy0)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy0)
% 125.51/125.87 Found x41:(cP Xy0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x41 as proof of (cP x0)
% 125.51/125.87 Found x41:(cP Xy0)
% 125.51/125.87 Instantiate: Xy0:=x0:fofType
% 125.51/125.87 Found x41 as proof of (cP x0)
% 125.51/125.87 Found x50:(cP x0)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x50 as proof of (cP Xy)
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x21 as proof of (cP x0)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Found x20 as proof of (cP Xy0)
% 125.51/125.87 Found x20:=(x2 x30):(cP Xy)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy0)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy0)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy0)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy1:fofType
% 125.51/125.87 Found x20 as proof of (cP Xy1)
% 125.51/125.87 Found x21:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy1:fofType
% 125.51/125.87 Found x21 as proof of (cP Xy1)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy0:fofType
% 125.51/125.87 Found x20 as proof of (cP Xy0)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Found x30 as proof of (cP x0)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy1)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy1)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Found x30 as proof of (cP x0)
% 125.51/125.87 Found (x4 x30) as proof of (cP Xy1)
% 125.51/125.87 Found (x4 x30) as proof of (cP Xy1)
% 125.51/125.87 Found x22:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy0:fofType
% 125.51/125.87 Found x22 as proof of (cP Xy0)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Found x30 as proof of (cP x0)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy1)
% 125.51/125.87 Found (x2 x30) as proof of (cP Xy1)
% 125.51/125.87 Found x30:(cP x0)
% 125.51/125.87 Found x30 as proof of (cP x0)
% 125.51/125.87 Found (x4 x30) as proof of (cP Xy1)
% 125.51/125.87 Found (x4 x30) as proof of (cP Xy1)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy0:fofType
% 125.51/125.87 Found x20 as proof of (cP Xy0)
% 125.51/125.87 Found x20:(cP Xy)
% 125.51/125.87 Instantiate: Xy:=Xy1:fofType
% 125.51/125.87 Found x20 as proof of (cP Xy1)
% 125.51/125.87 Found x31:(cP x0)
% 125.51/125.87 Instantiate: Xy:=x0:fofType
% 125.51/125.87 Found x31 as proof of (cP Xy)
% 125.51/125.87 Found x50:(cP x0)
% 125.51/125.87 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 125.51/125.87 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 125.51/125.87 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 126.25/126.58 Found x30:(cP x0)
% 126.25/126.58 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 126.25/126.58 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 126.25/126.58 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 126.25/126.58 Found x31:(cP x0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x31 as proof of (cP Xy0)
% 126.25/126.58 Found x50:(cP x0)
% 126.25/126.58 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 126.25/126.58 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 126.25/126.58 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 126.25/126.58 Found x31:(cP x0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x31 as proof of (cP Xy0)
% 126.25/126.58 Found x31:(cP x0)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x31 as proof of (cP Xy)
% 126.25/126.58 Found x30:(cP x0)
% 126.25/126.58 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 126.25/126.58 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 126.25/126.58 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 126.25/126.58 Found x50:(cP x0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x50 as proof of (cP Xy0)
% 126.25/126.58 Found x50:(cP x0)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x50 as proof of (cP Xy)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=Xy1:fofType
% 126.25/126.58 Found x21 as proof of (cP Xy1)
% 126.25/126.58 Found x20:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x20 as proof of (cP x0)
% 126.25/126.58 Found x22:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=Xy0:fofType
% 126.25/126.58 Found x22 as proof of (cP Xy0)
% 126.25/126.58 Found x20:=(x2 x30):(cP Xy)
% 126.25/126.58 Instantiate: Xy:=Xy0:fofType
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy0)
% 126.25/126.58 Found x31:(cP x0)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x31 as proof of (cP Xy)
% 126.25/126.58 Found x20:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=Xy1:fofType
% 126.25/126.58 Found x20 as proof of (cP Xy1)
% 126.25/126.58 Found x20:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=Xy0:fofType
% 126.25/126.58 Found x20 as proof of (cP Xy0)
% 126.25/126.58 Found x40:(cP Xy0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x40 as proof of (cP x0)
% 126.25/126.58 Found x8:(cP x7)
% 126.25/126.58 Instantiate: Xy0:=x7:fofType
% 126.25/126.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 126.25/126.58 Found x20:=(x2 x30):(cP Xy)
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy0)
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x40:(cP Xy0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x40 as proof of (cP x0)
% 126.25/126.58 Found x40:(cP Xy0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x40 as proof of (cP x0)
% 126.25/126.58 Found x31:(cP x0)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x31 as proof of (cP Xy)
% 126.25/126.58 Found x8:(cP x7)
% 126.25/126.58 Instantiate: Xy:=x7:fofType
% 126.25/126.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 126.25/126.58 Found x40:(cP Xy0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x40 as proof of (cP x0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x50:(cP x0)
% 126.25/126.58 Found x50 as proof of (cP x0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy0:=Xy:fofType
% 126.25/126.58 Found x21 as proof of (cP Xy0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x20:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x20 as proof of (cP x0)
% 126.25/126.58 Found x50:(cP x0)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x50 as proof of (cP Xy)
% 126.25/126.58 Found x20:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x20 as proof of (cP x0)
% 126.25/126.58 Found x8:(cP x7)
% 126.25/126.58 Instantiate: Xy:=x7:fofType
% 126.25/126.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 126.25/126.58 Found x40:=(x4 x30):(cP Xy0)
% 126.25/126.58 Found (x4 x30) as proof of (cP Xy1)
% 126.25/126.58 Found (x4 x30) as proof of (cP Xy1)
% 126.25/126.58 Found x8:(cP x7)
% 126.25/126.58 Instantiate: Xy0:=x7:fofType
% 126.25/126.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy0:=Xy:fofType
% 126.25/126.58 Found x21 as proof of (cP Xy0)
% 126.25/126.58 Found x20:=(x2 x30):(cP Xy)
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy1)
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy1)
% 126.25/126.58 Found x21:(cP Xy)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x21 as proof of (cP x0)
% 126.25/126.58 Found x50:(cP x0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x50 as proof of (cP Xy0)
% 126.25/126.58 Found x20:=(x2 x30):(cP Xy)
% 126.25/126.58 Instantiate: Xy:=Xy0:fofType
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy0)
% 126.25/126.58 Found (x2 x30) as proof of (cP Xy0)
% 126.25/126.58 Found x30:(cP x0)
% 126.25/126.58 Instantiate: Xy0:=x0:fofType
% 126.25/126.58 Found x30 as proof of (cP Xy0)
% 126.25/126.58 Found x30:(cP x0)
% 126.25/126.58 Instantiate: Xy:=x0:fofType
% 126.25/126.58 Found x30 as proof of (cP Xy)
% 126.25/126.58 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found x50:(cP x0)
% 126.83/127.20 Found x50 as proof of (cP x0)
% 126.83/127.20 Found (x4 x50) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x50) as proof of (cP Xy1)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy0:fofType
% 126.83/127.20 Found x20 as proof of (cP Xy0)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x50:(cP x0)
% 126.83/127.20 Found x50 as proof of (cP x0)
% 126.83/127.20 Found (x2 x50) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x50) as proof of (cP Xy1)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x20:=(x2 x30):(cP Xy)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy0)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy0)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Found x20 as proof of (cP Xy0)
% 126.83/127.20 Found x41:(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=x0:fofType
% 126.83/127.20 Found x41 as proof of (cP x0)
% 126.83/127.20 Found x41:(cP Xy0)
% 126.83/127.20 Instantiate: Xy:=Xy0:fofType
% 126.83/127.20 Found x41 as proof of (cP Xy)
% 126.83/127.20 Found x41:(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=x0:fofType
% 126.83/127.20 Found x41 as proof of (cP x0)
% 126.83/127.20 Found x8:(cP x7)
% 126.83/127.20 Instantiate: Xy0:=x7:fofType
% 126.83/127.20 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 126.83/127.20 Found x8:(cP x7)
% 126.83/127.20 Instantiate: Xy:=x7:fofType
% 126.83/127.20 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Found x20 as proof of (cP Xy0)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Found x20 as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Found x20 as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found x20 as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found x20 as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=x0:fofType
% 126.83/127.20 Found x20 as proof of (cP x0)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Instantiate: Xy:=x0:fofType
% 126.83/127.20 Found x30 as proof of (cP Xy)
% 126.83/127.20 Found x22:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy0:fofType
% 126.83/127.20 Found x22 as proof of (cP Xy0)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy0:fofType
% 126.83/127.20 Found x20 as proof of (cP Xy0)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Found x30 as proof of (cP x0)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy0)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy0)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found x20 as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Found x20 as proof of (cP Xy1)
% 126.83/127.20 Found x21:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found x21 as proof of (cP Xy1)
% 126.83/127.20 Found x21:(cP Xy)
% 126.83/127.20 Found x21 as proof of (cP Xy1)
% 126.83/127.20 Found x20:=(x2 x31):(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found (x2 x31) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x31) as proof of (cP Xy1)
% 126.83/127.20 Found x40:=(x4 x31):(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=Xy1:fofType
% 126.83/127.20 Found (x4 x31) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x31) as proof of (cP Xy1)
% 126.83/127.20 Found x40:=(x4 x50):(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=Xy1:fofType
% 126.83/127.20 Found (x4 x50) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x50) as proof of (cP Xy1)
% 126.83/127.20 Found x20:=(x2 x30):(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x40:=(x4 x30):(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=Xy1:fofType
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x30) as proof of (cP Xy1)
% 126.83/127.20 Found x20:=(x2 x51):(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found (x2 x51) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x51) as proof of (cP Xy1)
% 126.83/127.20 Found x40:=(x4 x51):(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=Xy1:fofType
% 126.83/127.20 Found (x4 x51) as proof of (cP Xy1)
% 126.83/127.20 Found (x4 x51) as proof of (cP Xy1)
% 126.83/127.20 Found x20:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy0:fofType
% 126.83/127.20 Found x20 as proof of (cP Xy0)
% 126.83/127.20 Found x20:=(x2 x30):(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy0:fofType
% 126.83/127.20 Found (x2 x30) as proof of (cP Xy0)
% 126.83/127.20 Found x21:(cP Xy)
% 126.83/127.20 Found x21 as proof of (cP Xy1)
% 126.83/127.20 Found x21:(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found x21 as proof of (cP Xy1)
% 126.83/127.20 Found x20:=(x2 x50):(cP Xy)
% 126.83/127.20 Instantiate: Xy:=Xy1:fofType
% 126.83/127.20 Found (x2 x50) as proof of (cP Xy1)
% 126.83/127.20 Found (x2 x50) as proof of (cP Xy1)
% 126.83/127.20 Found x30:(cP x0)
% 126.83/127.20 Instantiate: Xy:=x0:fofType
% 126.83/127.20 Found x30 as proof of (cP Xy)
% 126.83/127.20 Found x30:(cP Xy0)
% 126.83/127.20 Instantiate: Xy0:=Xy:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy0)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy0)
% 127.96/128.25 Found x31:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x31 as proof of (cP Xy0)
% 127.96/128.25 Found x31:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x31 as proof of (cP Xy)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy0)
% 127.96/128.25 Found x51:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x51 as proof of (cP Xy0)
% 127.96/128.25 Found x31:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x31 as proof of (cP Xy0)
% 127.96/128.25 Found x51:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x51 as proof of (cP Xy)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy0)
% 127.96/128.25 Found x31:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x31 as proof of (cP Xy)
% 127.96/128.25 Found x51:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x51 as proof of (cP Xy)
% 127.96/128.25 Found x51:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x51 as proof of (cP Xy0)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy0)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x31:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x31 as proof of (cP Xy)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy)
% 127.96/128.25 Found x31:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x31 as proof of (cP Xy0)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x20:=(x2 x30):(cP Xy)
% 127.96/128.25 Found (x2 x30) as proof of (cP Xy0)
% 127.96/128.25 Found (x2 x30) as proof of (cP Xy0)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x40:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x40 as proof of (cP x0)
% 127.96/128.25 Found x40:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x40 as proof of (cP x0)
% 127.96/128.25 Found x40:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x40 as proof of (cP x0)
% 127.96/128.25 Found x40:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x40 as proof of (cP x0)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x20:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x20 as proof of (cP x0)
% 127.96/128.25 Found x20:=(x2 x30):(cP Xy)
% 127.96/128.25 Instantiate: Xy:=Xy0:fofType
% 127.96/128.25 Found (x2 x30) as proof of (cP Xy0)
% 127.96/128.25 Found (x2 x30) as proof of (cP Xy0)
% 127.96/128.25 Found x40:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x40 as proof of (cP x0)
% 127.96/128.25 Found x21:(cP Xy)
% 127.96/128.25 Instantiate: Xy0:=Xy:fofType
% 127.96/128.25 Found x21 as proof of (cP Xy0)
% 127.96/128.25 Found x40:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x40 as proof of (cP x0)
% 127.96/128.25 Found x21:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x21 as proof of (cP x0)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Found x30 as proof of (cP x0)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Found x50 as proof of (cP x0)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Found x50 as proof of (cP x0)
% 127.96/128.25 Found x41:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x41 as proof of (cP x0)
% 127.96/128.25 Found x50:(cP x0)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x50 as proof of (cP Xy)
% 127.96/128.25 Found x41:(cP Xy0)
% 127.96/128.25 Instantiate: Xy:=Xy0:fofType
% 127.96/128.25 Found x41 as proof of (cP Xy)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x30 as proof of (cP Xy0)
% 127.96/128.25 Found x41:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x41 as proof of (cP x0)
% 127.96/128.25 Found x30:(cP x0)
% 127.96/128.25 Found x30 as proof of (cP x0)
% 127.96/128.25 Found x41:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x41 as proof of (cP x0)
% 127.96/128.25 Found x21:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x21 as proof of (cP x0)
% 127.96/128.25 Found x21:(cP Xy)
% 127.96/128.25 Instantiate: Xy:=x0:fofType
% 127.96/128.25 Found x21 as proof of (cP x0)
% 127.96/128.25 Found x41:(cP Xy0)
% 127.96/128.25 Instantiate: Xy0:=x0:fofType
% 127.96/128.25 Found x41 as proof of (cP x0)
% 127.96/128.25 Found x21:(cP Xy)
% 127.96/128.25 Instantiate: Xy0:=Xy:fofType
% 127.96/128.25 Found x21 as proof of (cP Xy0)
% 127.96/128.25 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy)
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x21 as proof of (cP x0)
% 128.87/129.18 Found x30:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x30 as proof of (cP Xy)
% 128.87/129.18 Found x41:(cP Xy0)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found x41 as proof of (cP Xy)
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy0)
% 128.87/129.18 Found x30:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x30 as proof of (cP Xy0)
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy0)
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x20 as proof of (cP x0)
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x20 as proof of (cP x0)
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Found x50 as proof of (cP x0)
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy)
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy0:=Xy:fofType
% 128.87/129.18 Found x21 as proof of (cP Xy0)
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x21 as proof of (cP x0)
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy0)
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x21 as proof of (cP x0)
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Instantiate: Xy0:=Xy:fofType
% 128.87/129.18 Found x20 as proof of (cP Xy0)
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x21 as proof of (cP x0)
% 128.87/129.18 Found x23:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found x23 as proof of (cP Xy0)
% 128.87/129.18 Found x30:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x30 as proof of (cP Xy0)
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x20 as proof of (cP x0)
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Instantiate: Xy0:=Xy:fofType
% 128.87/129.18 Found x20 as proof of (cP Xy0)
% 128.87/129.18 Found x22:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (cP Xy0)
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (cP Xy0)
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x21) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found x20 as proof of (cP Xy0)
% 128.87/129.18 Found x30:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x30 as proof of (cP Xy)
% 128.87/129.18 Found x50:(cP Xy1)
% 128.87/129.18 Instantiate: Xy1:=Xy0:fofType
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 128.87/129.18 Found x41:(cP Xy0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x41 as proof of (cP x0)
% 128.87/129.18 Found x40:(cP Xy0)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found x40 as proof of (cP Xy)
% 128.87/129.18 Found x30:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x30 as proof of (cP Xy)
% 128.87/129.18 Found x22:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x22 as proof of (cP x0)
% 128.87/129.18 Found x51:(cP Xy1)
% 128.87/129.18 Instantiate: Xy1:=Xy0:fofType
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (cP Xy0)
% 128.87/129.18 Found (fun (x6:((cP Xy1)->(cP x0)))=> x51) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x21 as proof of (cP x0)
% 128.87/129.18 Found x40:(cP Xy0)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found x40 as proof of (cP Xy)
% 128.87/129.18 Found x21:(cP Xy)
% 128.87/129.18 Instantiate: Xy0:=Xy:fofType
% 128.87/129.18 Found x21 as proof of (cP Xy0)
% 128.87/129.18 Found x30:(cP x0)
% 128.87/129.18 Found x30 as proof of (cP x0)
% 128.87/129.18 Found x41:(cP Xy0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x41 as proof of (cP x0)
% 128.87/129.18 Found x41:(cP Xy0)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 128.87/129.18 Found x41 as proof of (cP Xy)
% 128.87/129.18 Found x31:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x31 as proof of (cP Xy)
% 128.87/129.18 Found x20:(cP Xy)
% 128.87/129.18 Found x20 as proof of (cP Xy0)
% 128.87/129.18 Found x3:((cP Xy)->(cP x0))
% 128.87/129.18 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 128.87/129.18 Found x3 as proof of ((cP x7)->(cP Xy0))
% 128.87/129.18 Found x5:((cP Xy0)->(cP x0))
% 128.87/129.18 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 128.87/129.18 Found x5 as proof of ((cP x7)->(cP Xy))
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy)
% 128.87/129.18 Found x3:((cP Xy)->(cP x0))
% 128.87/129.18 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 128.87/129.18 Found x3 as proof of ((cP x7)->(cP Xy0))
% 128.87/129.18 Found x5:((cP Xy0)->(cP x0))
% 128.87/129.18 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 128.87/129.18 Found x5 as proof of ((cP x7)->(cP Xy))
% 128.87/129.18 Found x31:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x31 as proof of (cP Xy0)
% 128.87/129.18 Found x50:(cP x0)
% 128.87/129.18 Instantiate: Xy0:=x0:fofType
% 128.87/129.18 Found x50 as proof of (cP Xy0)
% 128.87/129.18 Found x23:(cP Xy)
% 128.87/129.18 Instantiate: Xy:=Xy0:fofType
% 131.03/131.30 Found x23 as proof of (cP Xy0)
% 131.03/131.30 Found x20:=(x2 x30):(cP Xy)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found x31:(cP x0)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x31 as proof of (cP Xy)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x20 as proof of (cP x0)
% 131.03/131.30 Found x22:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x22 as proof of (cP x0)
% 131.03/131.30 Found x31:(cP x0)
% 131.03/131.30 Instantiate: Xy1:=x0:fofType
% 131.03/131.30 Found x31 as proof of (cP Xy1)
% 131.03/131.30 Found x5:((cP Xy0)->(cP x0))
% 131.03/131.30 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 131.03/131.30 Found x5 as proof of ((cP x7)->(cP Xy))
% 131.03/131.30 Found x3:((cP Xy)->(cP x0))
% 131.03/131.30 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 131.03/131.30 Found x3 as proof of ((cP x7)->(cP Xy0))
% 131.03/131.30 Found x6:(cP x5)
% 131.03/131.30 Instantiate: Xy:=x5:fofType
% 131.03/131.30 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x20 as proof of (cP x0)
% 131.03/131.30 Found x31:(cP x0)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x31 as proof of (cP Xy)
% 131.03/131.30 Found x22:(cP Xy)
% 131.03/131.30 Found x22 as proof of (cP Xy0)
% 131.03/131.30 Found x30:(cP x0)
% 131.03/131.30 Found x30 as proof of (cP x0)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x20 as proof of (cP x0)
% 131.03/131.30 Found x30:(cP x0)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x30 as proof of (cP Xy)
% 131.03/131.30 Found x21:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x21 as proof of (cP x0)
% 131.03/131.30 Found x21:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x21 as proof of (cP x0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy0:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy0)
% 131.03/131.30 Found x40:(cP Xy0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x40 as proof of (cP x0)
% 131.03/131.30 Found x40:(cP Xy0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x40 as proof of (cP x0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy0:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy0)
% 131.03/131.30 Found x20:=(x2 x30):(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy0:fofType
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found x3:((cP Xy)->(cP x0))
% 131.03/131.30 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 131.03/131.30 Found x3 as proof of ((cP x7)->(cP Xy0))
% 131.03/131.30 Found x5:((cP Xy0)->(cP x0))
% 131.03/131.30 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 131.03/131.30 Found x5 as proof of ((cP x7)->(cP Xy))
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x20 as proof of (cP x0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x20 as proof of (cP x0)
% 131.03/131.30 Found x50:(cP x0)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x50 as proof of (cP Xy)
% 131.03/131.30 Found x21:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x21 as proof of (cP x0)
% 131.03/131.30 Found x50:(cP x0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x50 as proof of (cP Xy0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy1:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy1)
% 131.03/131.30 Found x21:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x21 as proof of (cP x0)
% 131.03/131.30 Found x21:(cP Xy)
% 131.03/131.30 Instantiate: Xy0:=Xy:fofType
% 131.03/131.30 Found x21 as proof of (cP Xy0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy1:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy1)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy1:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy1)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy1:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy1)
% 131.03/131.30 Found x50:(cP x0)
% 131.03/131.30 Found x50 as proof of (cP x0)
% 131.03/131.30 Found x30:(cP x0)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x30 as proof of (cP Xy)
% 131.03/131.30 Found x41:(cP Xy0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x41 as proof of (cP x0)
% 131.03/131.30 Found x31:(cP x0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x31 as proof of (cP Xy0)
% 131.03/131.30 Found x30:(cP x0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x30 as proof of (cP Xy0)
% 131.03/131.30 Found x30:(cP x0)
% 131.03/131.30 Found x30 as proof of (cP x0)
% 131.03/131.30 Found x41:(cP Xy0)
% 131.03/131.30 Instantiate: Xy:=Xy0:fofType
% 131.03/131.30 Found x41 as proof of (cP Xy)
% 131.03/131.30 Found x31:(cP x0)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x31 as proof of (cP Xy)
% 131.03/131.30 Found x41:(cP Xy0)
% 131.03/131.30 Instantiate: Xy0:=x0:fofType
% 131.03/131.30 Found x41 as proof of (cP x0)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x20 as proof of (cP x0)
% 131.03/131.30 Found x20:=(x2 x30):(cP Xy)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found x20:=(x2 x30):(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy0:fofType
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found (x2 x30) as proof of (cP Xy0)
% 131.03/131.30 Found x21:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=x0:fofType
% 131.03/131.30 Found x21 as proof of (cP x0)
% 131.03/131.30 Found x30:(cP Xy0)
% 131.03/131.30 Instantiate: Xy0:=Xy:fofType
% 131.03/131.30 Found x30 as proof of (cP Xy)
% 131.03/131.30 Found x20:(cP Xy)
% 131.03/131.30 Instantiate: Xy:=Xy1:fofType
% 131.03/131.30 Found x20 as proof of (cP Xy1)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x21 as proof of (cP Xy1)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Found x20 as proof of (cP Xy0)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x21 as proof of (cP Xy1)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x21 as proof of (cP x0)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy0:=Xy:fofType
% 132.52/132.81 Found x21 as proof of (cP Xy0)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x30 as proof of (cP Xy)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x20 as proof of (cP x0)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy0:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy0)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy0:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy0)
% 132.52/132.81 Found x6:(cP x5)
% 132.52/132.81 Instantiate: Xy:=x5:fofType
% 132.52/132.81 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Found x30 as proof of (cP x0)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy1)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy1)
% 132.52/132.81 Found x31:(cP x0)
% 132.52/132.81 Instantiate: Xy0:=x0:fofType
% 132.52/132.81 Found x31 as proof of (cP Xy0)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x30 as proof of (cP Xy)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x20 as proof of (cP x0)
% 132.52/132.81 Found x31:(cP x0)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x31 as proof of (cP Xy)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy1)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x21 as proof of (cP Xy1)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x21 as proof of (cP Xy1)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Found x30 as proof of (cP x0)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy1)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy1)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Found x30 as proof of (cP x0)
% 132.52/132.81 Found (x4 x30) as proof of (cP Xy1)
% 132.52/132.81 Found (x4 x30) as proof of (cP Xy1)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy0:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy0)
% 132.52/132.81 Found x20:=(x2 x30):(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy0:fofType
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found x40:(cP Xy0)
% 132.52/132.81 Instantiate: Xy0:=x0:fofType
% 132.52/132.81 Found x40 as proof of (cP x0)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Found x30 as proof of (cP x0)
% 132.52/132.81 Found (x4 x30) as proof of (cP Xy1)
% 132.52/132.81 Found (x4 x30) as proof of (cP Xy1)
% 132.52/132.81 Found x30:(cP x0)
% 132.52/132.81 Found x30 as proof of (cP x0)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy1)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy1)
% 132.52/132.81 Found x40:(cP Xy0)
% 132.52/132.81 Instantiate: Xy0:=x0:fofType
% 132.52/132.81 Found x40 as proof of (cP x0)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x21 as proof of (cP x0)
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy0:=Xy:fofType
% 132.52/132.81 Found x21 as proof of (cP Xy0)
% 132.52/132.81 Found x40:=(x4 x5):(cP x5)
% 132.52/132.81 Found (x4 x5) as proof of (cP x5)
% 132.52/132.81 Found (x4 x5) as proof of (cP x5)
% 132.52/132.81 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 132.52/132.81 Found x21:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=x0:fofType
% 132.52/132.81 Found x21 as proof of (cP x0)
% 132.52/132.81 Found x22:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy0:fofType
% 132.52/132.81 Found x22 as proof of (cP Xy0)
% 132.52/132.81 Found x20:=(x2 x30):(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy0:fofType
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 132.52/132.81 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Found x20 as proof of (cP Xy0)
% 132.52/132.81 Found x20:=(x2 x30):(cP Xy)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found (x2 x30) as proof of (cP Xy0)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Found x20 as proof of (cP Xy1)
% 132.52/132.81 Found x20:(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found x20 as proof of (cP Xy1)
% 132.52/132.81 Found x6:(cP x5)
% 132.52/132.81 Instantiate: Xy:=x5:fofType
% 132.52/132.81 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 132.52/132.81 Found x40:=(x4 x30):(cP Xy0)
% 132.52/132.81 Instantiate: Xy0:=Xy1:fofType
% 132.52/132.81 Found (x4 x30) as proof of (cP Xy1)
% 132.52/132.81 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 132.52/132.81 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 132.52/132.81 Found x20:=(x2 x31):(cP Xy)
% 132.52/132.81 Instantiate: Xy:=Xy1:fofType
% 132.52/132.81 Found (x2 x31) as proof of (cP Xy1)
% 132.52/132.81 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 132.52/132.81 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 132.52/132.81 Found x40:=(x4 x31):(cP Xy0)
% 132.52/132.81 Instantiate: Xy0:=Xy1:fofType
% 132.52/132.81 Found (x4 x31) as proof of (cP Xy1)
% 132.52/132.81 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 132.52/132.81 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 133.24/133.52 Found x40:=(x4 x50):(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy1:fofType
% 133.24/133.52 Found (x4 x50) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 133.24/133.52 Found x20:=(x2 x30):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x30) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 133.24/133.52 Found x40:=(x4 x51):(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy1:fofType
% 133.24/133.52 Found (x4 x51) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 133.24/133.52 Found x20:=(x2 x51):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x51) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x2 x51)) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x2 x51)) as proof of ((cP x7)->(cP Xy1))
% 133.24/133.52 Found x20:=(x2 x50):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x50) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 133.24/133.52 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 133.24/133.52 Found x20:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy0:fofType
% 133.24/133.52 Found x20 as proof of (cP Xy0)
% 133.24/133.52 Found x30:(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy:fofType
% 133.24/133.52 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (cP Xy)
% 133.24/133.52 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 133.24/133.52 Found x21:(cP Xy)
% 133.24/133.52 Found x21 as proof of (cP Xy1)
% 133.24/133.52 Found x40:=(x4 x31):(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy1:fofType
% 133.24/133.52 Found (x4 x31) as proof of (cP Xy1)
% 133.24/133.52 Found (x4 x31) as proof of (cP Xy1)
% 133.24/133.52 Found x20:=(x2 x51):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x51) as proof of (cP Xy1)
% 133.24/133.52 Found (x2 x51) as proof of (cP Xy1)
% 133.24/133.52 Found x40:=(x4 x51):(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy1:fofType
% 133.24/133.52 Found (x4 x51) as proof of (cP Xy1)
% 133.24/133.52 Found (x4 x51) as proof of (cP Xy1)
% 133.24/133.52 Found x40:=(x4 x30):(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy1:fofType
% 133.24/133.52 Found (x4 x30) as proof of (cP Xy1)
% 133.24/133.52 Found (x4 x30) as proof of (cP Xy1)
% 133.24/133.52 Found x40:=(x4 x50):(cP Xy0)
% 133.24/133.52 Instantiate: Xy0:=Xy1:fofType
% 133.24/133.52 Found (x4 x50) as proof of (cP Xy1)
% 133.24/133.52 Found (x4 x50) as proof of (cP Xy1)
% 133.24/133.52 Found x20:=(x2 x50):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x50) as proof of (cP Xy1)
% 133.24/133.52 Found (x2 x50) as proof of (cP Xy1)
% 133.24/133.52 Found x20:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy0:fofType
% 133.24/133.52 Found x20 as proof of (cP Xy0)
% 133.24/133.52 Found x20:=(x2 x30):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x30) as proof of (cP Xy1)
% 133.24/133.52 Found (x2 x30) as proof of (cP Xy1)
% 133.24/133.52 Found x30:(cP x0)
% 133.24/133.52 Found x30 as proof of (cP x0)
% 133.24/133.52 Found (x2 x30) as proof of (cP Xy0)
% 133.24/133.52 Found (x2 x30) as proof of (cP Xy0)
% 133.24/133.52 Found x20:=(x2 x31):(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found (x2 x31) as proof of (cP Xy1)
% 133.24/133.52 Found (x2 x31) as proof of (cP Xy1)
% 133.24/133.52 Found x21:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found x21 as proof of (cP Xy1)
% 133.24/133.52 Found x30:(cP x0)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x30 as proof of (cP Xy)
% 133.24/133.52 Found x21:(cP Xy)
% 133.24/133.52 Found x21 as proof of (cP Xy1)
% 133.24/133.52 Found x20:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x20 as proof of (cP x0)
% 133.24/133.52 Found x21:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=Xy1:fofType
% 133.24/133.52 Found x21 as proof of (cP Xy1)
% 133.24/133.52 Found x20:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x20 as proof of (cP x0)
% 133.24/133.52 Found x40:=(x4 x5):(cP x5)
% 133.24/133.52 Found (x4 x5) as proof of (cP x5)
% 133.24/133.52 Found (x4 x5) as proof of (cP x5)
% 133.24/133.52 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 133.24/133.52 Found x31:(cP x0)
% 133.24/133.52 Instantiate: Xy0:=x0:fofType
% 133.24/133.52 Found x31 as proof of (cP Xy0)
% 133.24/133.52 Found x30:(cP x0)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x30 as proof of (cP Xy)
% 133.24/133.52 Found x20:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x20 as proof of (cP x0)
% 133.24/133.52 Found x50:(cP x0)
% 133.24/133.52 Instantiate: Xy0:=x0:fofType
% 133.24/133.52 Found x50 as proof of (cP Xy0)
% 133.24/133.52 Found x50:(cP x0)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x50 as proof of (cP Xy)
% 133.24/133.52 Found x31:(cP x0)
% 133.24/133.52 Instantiate: Xy0:=x0:fofType
% 133.24/133.52 Found x31 as proof of (cP Xy0)
% 133.24/133.52 Found x31:(cP x0)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x31 as proof of (cP Xy)
% 133.24/133.52 Found x31:(cP x0)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x31 as proof of (cP Xy)
% 133.24/133.52 Found x21:(cP Xy)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x21 as proof of (cP x0)
% 133.24/133.52 Found x31:(cP x0)
% 133.24/133.52 Instantiate: Xy:=x0:fofType
% 133.24/133.52 Found x31 as proof of (cP Xy)
% 133.24/133.52 Found x20:=(x2 x30):(cP Xy)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 134.82/135.11 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 134.82/135.11 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 134.82/135.11 Found x20:=(x2 x30):(cP Xy)
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 134.82/135.11 Found x40:(cP Xy0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x40 as proof of (cP x0)
% 134.82/135.11 Found x40:(cP Xy0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x40 as proof of (cP x0)
% 134.82/135.11 Found x40:(cP Xy0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x40 as proof of (cP x0)
% 134.82/135.11 Found x40:(cP Xy0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x40 as proof of (cP x0)
% 134.82/135.11 Found x50:(cP x0)
% 134.82/135.11 Found x50 as proof of (cP x0)
% 134.82/135.11 Found x40:(cP x0)
% 134.82/135.11 Found x40 as proof of (cP x0)
% 134.82/135.11 Found (x3 x40) as proof of (cP Xy)
% 134.82/135.11 Found (x3 x40) as proof of (cP Xy)
% 134.82/135.11 Found (x3 x40) as proof of (cP Xy)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x50:(cP x0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x50 as proof of (cP Xy0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x20 as proof of (cP x0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x20 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy0:=Xy:fofType
% 134.82/135.11 Found x21 as proof of (cP Xy0)
% 134.82/135.11 Found x50:(cP x0)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x50 as proof of (cP Xy)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy0:=Xy:fofType
% 134.82/135.11 Found x21 as proof of (cP Xy0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x30:(cP x0)
% 134.82/135.11 Found x30 as proof of (cP x0)
% 134.82/135.11 Found x30:(cP x0)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x30 as proof of (cP Xy)
% 134.82/135.11 Found x30:(cP x0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x30 as proof of (cP Xy0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy0:=Xy:fofType
% 134.82/135.11 Found x21 as proof of (cP Xy0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found x20 as proof of (cP Xy0)
% 134.82/135.11 Found x23:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found x23 as proof of (cP Xy0)
% 134.82/135.11 Found x22:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x22 as proof of (cP x0)
% 134.82/135.11 Found x41:(cP Xy0)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found x41 as proof of (cP Xy)
% 134.82/135.11 Found x31:(cP x0)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x31 as proof of (cP Xy)
% 134.82/135.11 Found x31:(cP x0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x31 as proof of (cP Xy0)
% 134.82/135.11 Found x50:(cP x0)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x50 as proof of (cP Xy)
% 134.82/135.11 Found x41:(cP Xy0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x41 as proof of (cP x0)
% 134.82/135.11 Found x50:(cP Xy1)
% 134.82/135.11 Instantiate: Xy1:=Xy0:fofType
% 134.82/135.11 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 134.82/135.11 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 134.82/135.11 Found x22:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (cP Xy0)
% 134.82/135.11 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 134.82/135.11 Found x50:(cP x0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x50 as proof of (cP Xy0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Found x20 as proof of (cP Xy0)
% 134.82/135.11 Found x41:(cP Xy0)
% 134.82/135.11 Instantiate: Xy0:=x0:fofType
% 134.82/135.11 Found x41 as proof of (cP x0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x20 as proof of (cP x0)
% 134.82/135.11 Found x23:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found x23 as proof of (cP Xy0)
% 134.82/135.11 Found x22:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x22 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x30:(cP x0)
% 134.82/135.11 Found x30 as proof of (cP x0)
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 134.82/135.11 Found x22:(cP Xy)
% 134.82/135.11 Found x22 as proof of (cP Xy0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x20 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x21 as proof of (cP x0)
% 134.82/135.11 Found x20:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=x0:fofType
% 134.82/135.11 Found x20 as proof of (cP x0)
% 134.82/135.11 Found x21:(cP Xy)
% 134.82/135.11 Instantiate: Xy:=Xy0:fofType
% 134.82/135.11 Found x21 as proof of (cP Xy0)
% 134.82/135.11 Found x20:=(x2 x30):(cP Xy)
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 134.82/135.11 Found (x2 x30) as proof of (cP Xy0)
% 135.55/135.86 Found x40:(cP Xy0)
% 135.55/135.86 Instantiate: Xy0:=x0:fofType
% 135.55/135.86 Found x40 as proof of (cP x0)
% 135.55/135.86 Found x22:(cP Xy)
% 135.55/135.86 Found x22 as proof of (cP Xy0)
% 135.55/135.86 Found x40:(cP Xy0)
% 135.55/135.86 Instantiate: Xy0:=x0:fofType
% 135.55/135.86 Found x40 as proof of (cP x0)
% 135.55/135.86 Found x20:(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy0:fofType
% 135.55/135.86 Found x20 as proof of (cP Xy0)
% 135.55/135.86 Found x20:(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy1:fofType
% 135.55/135.86 Found x20 as proof of (cP Xy1)
% 135.55/135.86 Found x21:(cP Xy)
% 135.55/135.86 Instantiate: Xy:=x0:fofType
% 135.55/135.86 Found x21 as proof of (cP x0)
% 135.55/135.86 Found x21:(cP Xy)
% 135.55/135.86 Instantiate: Xy:=x0:fofType
% 135.55/135.86 Found x21 as proof of (cP x0)
% 135.55/135.86 Found x50:(cP x0)
% 135.55/135.86 Instantiate: Xy0:=x0:fofType
% 135.55/135.86 Found x50 as proof of (cP Xy0)
% 135.55/135.86 Found x50:(cP x0)
% 135.55/135.86 Instantiate: Xy:=x0:fofType
% 135.55/135.86 Found x50 as proof of (cP Xy)
% 135.55/135.86 Found x50:(cP x0)
% 135.55/135.86 Found x50 as proof of (cP x0)
% 135.55/135.86 Found x21:(cP Xy)
% 135.55/135.86 Instantiate: Xy0:=Xy:fofType
% 135.55/135.86 Found x21 as proof of (cP Xy0)
% 135.55/135.86 Found x20:(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy1:fofType
% 135.55/135.86 Found x20 as proof of (cP Xy1)
% 135.55/135.86 Found x30:(cP Xy0)
% 135.55/135.86 Instantiate: Xy0:=Xy:fofType
% 135.55/135.86 Found x30 as proof of (cP Xy)
% 135.55/135.86 Found x20:=(x2 x30):(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy0:fofType
% 135.55/135.86 Found (x2 x30) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 135.55/135.86 Found x20:=(x2 x5):(cP x5)
% 135.55/135.86 Found (x2 x5) as proof of (cP x5)
% 135.55/135.86 Found (x2 x5) as proof of (cP x5)
% 135.55/135.86 Found (ex_intro000 (x2 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 135.55/135.86 Found x30:(cP Xy0)
% 135.55/135.86 Instantiate: Xy0:=Xy:fofType
% 135.55/135.86 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (cP Xy)
% 135.55/135.86 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 135.55/135.86 Found x41:(cP Xy0)
% 135.55/135.86 Instantiate: Xy0:=x0:fofType
% 135.55/135.86 Found x41 as proof of (cP x0)
% 135.55/135.86 Found x41:(cP Xy0)
% 135.55/135.86 Instantiate: Xy0:=x0:fofType
% 135.55/135.86 Found x41 as proof of (cP x0)
% 135.55/135.86 Found x20:=(x2 x30):(cP Xy)
% 135.55/135.86 Found (x2 x30) as proof of (cP Xy0)
% 135.55/135.86 Found (x2 x30) as proof of (cP Xy0)
% 135.55/135.86 Found x21:(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy1:fofType
% 135.55/135.86 Found x21 as proof of (cP Xy1)
% 135.55/135.86 Found x20:=(x2 x30):(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy0:fofType
% 135.55/135.86 Found (x2 x30) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 135.55/135.86 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 135.55/135.86 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.55/135.86 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.55/135.86 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.55/135.86 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.55/135.86 Found x20:=(x2 x61):(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy0:fofType
% 135.55/135.86 Found (x2 x61) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x8:(cP x7))=> (x2 x61)) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of ((cP x7)->(cP Xy0))
% 135.55/135.86 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x61)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 135.55/135.86 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x61))) as proof of (cP Xy0)
% 135.55/135.86 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x61))) as proof of (cP Xy0)
% 135.55/135.86 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x61))) as proof of (cP Xy0)
% 135.55/135.86 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x61))) as proof of (cP Xy0)
% 135.55/135.86 Found x20:=(x2 x30):(cP Xy)
% 135.55/135.86 Instantiate: Xy:=Xy0:fofType
% 135.55/135.86 Found (x2 x30) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 135.55/135.86 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 135.55/135.86 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 135.55/135.86 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x30):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x30) as proof of (cP Xy0)
% 135.85/136.14 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 135.85/136.14 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 135.85/136.14 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 135.85/136.14 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 135.85/136.14 Found x21:(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy1:fofType
% 135.85/136.14 Found x21 as proof of (cP Xy1)
% 135.85/136.14 Found x40:(cP x0)
% 135.85/136.14 Found x40 as proof of (cP x0)
% 135.85/136.14 Found (x3 x40) as proof of (cP Xy)
% 135.85/136.14 Found (x3 x40) as proof of (cP Xy)
% 135.85/136.14 Found (x3 x40) as proof of (cP Xy)
% 135.85/136.14 Found x20:(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found x20 as proof of (cP Xy0)
% 135.85/136.14 Found x30:(cP x0)
% 135.85/136.14 Found x30 as proof of (cP x0)
% 135.85/136.14 Found (x2 x30) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x30) as proof of (cP Xy0)
% 135.85/136.14 Found x20:(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy1:fofType
% 135.85/136.14 Found x20 as proof of (cP Xy1)
% 135.85/136.14 Found x20:=(x2 x30):(cP Xy)
% 135.85/136.14 Found (x2 x30) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x30) as proof of (cP Xy0)
% 135.85/136.14 Found x50:(cP x0)
% 135.85/136.14 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 135.85/136.14 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 135.85/136.14 Found x50:=(x5 x61):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x61) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x61) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x61):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x61) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x61) as proof of (cP Xy0)
% 135.85/136.14 Found x30:(cP x0)
% 135.85/136.14 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 135.85/136.14 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 135.85/136.14 Found x50:=(x5 x31):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x31) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x31) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x31):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x31) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x31) as proof of (cP Xy0)
% 135.85/136.14 Found x50:=(x5 x31):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x31) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x31) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x32):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x32) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x32) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x31):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x31) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x31) as proof of (cP Xy0)
% 135.85/136.14 Found x50:=(x5 x61):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x61) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x61) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x61):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x61) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x61) as proof of (cP Xy0)
% 135.85/136.14 Found x50:=(x5 x60):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x60) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x60) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x60):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x60) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x60) as proof of (cP Xy0)
% 135.85/136.14 Found x50:=(x5 x32):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x32) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x32) as proof of (cP Xy0)
% 135.85/136.14 Found x50:=(x5 x62):(cP Xy1)
% 135.85/136.14 Instantiate: Xy1:=Xy0:fofType
% 135.85/136.14 Found (x5 x62) as proof of (cP Xy0)
% 135.85/136.14 Found (x5 x62) as proof of (cP Xy0)
% 135.85/136.14 Found x20:=(x2 x62):(cP Xy)
% 135.85/136.14 Instantiate: Xy:=Xy0:fofType
% 135.85/136.14 Found (x2 x62) as proof of (cP Xy0)
% 135.85/136.14 Found (x2 x62) as proof of (cP Xy0)
% 137.23/137.57 Found x20:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=x0:fofType
% 137.23/137.57 Found x20 as proof of (cP x0)
% 137.23/137.57 Found x50:(cP x0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 137.23/137.57 Found x50:=(x5 x30):(cP Xy1)
% 137.23/137.57 Instantiate: Xy1:=Xy0:fofType
% 137.23/137.57 Found (x5 x30) as proof of (cP Xy0)
% 137.23/137.57 Found (x5 x30) as proof of (cP Xy0)
% 137.23/137.57 Found x20:=(x2 x30):(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy0:fofType
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found x21:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy1:fofType
% 137.23/137.57 Found x21 as proof of (cP Xy1)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy1)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy1)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x4 x30) as proof of (cP Xy1)
% 137.23/137.57 Found (x4 x30) as proof of (cP Xy1)
% 137.23/137.57 Found x21:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy1:fofType
% 137.23/137.57 Found x21 as proof of (cP Xy1)
% 137.23/137.57 Found x20:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy0:fofType
% 137.23/137.57 Found x20 as proof of (cP Xy0)
% 137.23/137.57 Found x31:(cP x0)
% 137.23/137.57 Instantiate: Xy:=x0:fofType
% 137.23/137.57 Found x31 as proof of (cP Xy)
% 137.23/137.57 Found x31:(cP x0)
% 137.23/137.57 Instantiate: Xy0:=x0:fofType
% 137.23/137.57 Found x31 as proof of (cP Xy0)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy1)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy1)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy1)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy1)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x4 x30) as proof of (cP Xy1)
% 137.23/137.57 Found (x4 x30) as proof of (cP Xy1)
% 137.23/137.57 Found x30:(cP x0)
% 137.23/137.57 Found x30 as proof of (cP x0)
% 137.23/137.57 Found (x4 x30) as proof of (cP Xy1)
% 137.23/137.57 Found (x4 x30) as proof of (cP Xy1)
% 137.23/137.57 Found x8:(cP x7)
% 137.23/137.57 Instantiate: Xy0:=x7:fofType
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 137.23/137.57 Found x8:(cP x7)
% 137.23/137.57 Instantiate: Xy0:=x7:fofType
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 137.23/137.57 Found x8:(cP x7)
% 137.23/137.57 Instantiate: Xy:=x7:fofType
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 137.23/137.57 Found x22:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy0:fofType
% 137.23/137.57 Found x22 as proof of (cP Xy0)
% 137.23/137.57 Found x30:(cP Xy0)
% 137.23/137.57 Instantiate: Xy0:=Xy:fofType
% 137.23/137.57 Found x30 as proof of (cP Xy)
% 137.23/137.57 Found x8:(cP x7)
% 137.23/137.57 Instantiate: Xy:=x7:fofType
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 137.23/137.57 Found x20:=(x2 x5):(cP x5)
% 137.23/137.57 Found (x2 x5) as proof of (cP x5)
% 137.23/137.57 Found (x2 x5) as proof of (cP x5)
% 137.23/137.57 Found (ex_intro000 (x2 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.23/137.57 Found x8:(cP x7)
% 137.23/137.57 Instantiate: Xy:=x7:fofType
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 137.23/137.57 Found x8:(cP x7)
% 137.23/137.57 Instantiate: Xy0:=x7:fofType
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 137.23/137.57 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 137.23/137.57 Found x21:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=x0:fofType
% 137.23/137.57 Found x21 as proof of (cP x0)
% 137.23/137.57 Found x21:(cP Xy)
% 137.23/137.57 Instantiate: Xy0:=Xy:fofType
% 137.23/137.57 Found x21 as proof of (cP Xy0)
% 137.23/137.57 Found x21:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=x0:fofType
% 137.23/137.57 Found x21 as proof of (cP x0)
% 137.23/137.57 Found x20:(cP Xy)
% 137.23/137.57 Found x20 as proof of (cP Xy0)
% 137.23/137.57 Found x20:=(x2 x30):(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy0:fofType
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 137.23/137.57 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 137.23/137.57 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 137.23/137.57 Found x22:(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy0:fofType
% 137.23/137.57 Found x22 as proof of (cP Xy0)
% 137.23/137.57 Found x20:=(x2 x30):(cP Xy)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found (x2 x30) as proof of (cP Xy0)
% 137.23/137.57 Found x20:=(x2 x31):(cP Xy)
% 137.23/137.57 Instantiate: Xy:=Xy1:fofType
% 137.23/137.57 Found (x2 x31) as proof of (cP Xy1)
% 137.23/137.57 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x20:=(x2 x50):(cP Xy)
% 137.72/138.07 Instantiate: Xy:=Xy1:fofType
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.07 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x20:=(x2 x30):(cP Xy)
% 137.72/138.07 Instantiate: Xy:=Xy1:fofType
% 137.72/138.07 Found (x2 x30) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x40:=(x4 x30):(cP Xy0)
% 137.72/138.07 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.07 Found (x4 x30) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x40:=(x4 x51):(cP Xy0)
% 137.72/138.07 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.07 Found (x4 x51) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x40:=(x4 x31):(cP Xy0)
% 137.72/138.07 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.07 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x20:=(x2 x51):(cP Xy)
% 137.72/138.07 Instantiate: Xy:=Xy1:fofType
% 137.72/138.07 Found (x2 x51) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x51)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x2 x51)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found x30:(cP x0)
% 137.72/138.07 Instantiate: x7:=x0:fofType
% 137.72/138.07 Found x30 as proof of (cP x7)
% 137.72/138.07 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found ((ex_intro00 x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x6 Xy))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found (fun (x6:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x6 Xy)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 137.72/138.07 Found (fun (x6:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x6 Xy)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 137.72/138.07 Found x40:=(x4 x31):(cP Xy0)
% 137.72/138.07 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.07 Found x20:=(x2 x50):(cP Xy)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found x20:=(x2 x50):(cP Xy)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found x20:=(x2 x50):(cP Xy)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.07 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found x20:=(x2 x31):(cP Xy)
% 137.72/138.07 Found (x2 x31) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x31) as proof of (cP Xy1)
% 137.72/138.07 Found (x2 x31) as proof of (cP Xy1)
% 137.72/138.07 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.07 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.07 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 137.72/138.07 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.07 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x20:=(x2 x30):(cP Xy)
% 137.72/138.10 Instantiate: Xy:=Xy1:fofType
% 137.72/138.10 Found (x2 x30) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x20:=(x2 x51):(cP Xy)
% 137.72/138.10 Instantiate: Xy:=Xy1:fofType
% 137.72/138.10 Found (x2 x51) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x2 x51)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x51)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x40:=(x4 x30):(cP Xy0)
% 137.72/138.10 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.10 Found (x4 x30) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x40:=(x4 x51):(cP Xy0)
% 137.72/138.10 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.10 Found (x4 x51) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x40:=(x4 x31):(cP Xy0)
% 137.72/138.10 Instantiate: Xy0:=Xy1:fofType
% 137.72/138.10 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x20:=(x2 x31):(cP Xy)
% 137.72/138.10 Instantiate: Xy:=Xy1:fofType
% 137.72/138.10 Found (x2 x31) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x20:=(x2 x50):(cP Xy)
% 137.72/138.10 Instantiate: Xy:=Xy1:fofType
% 137.72/138.10 Found (x2 x50) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 137.72/138.10 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 137.72/138.10 Found x5:((cP Xy0)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x5:((cP Xy0)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x3:((cP Xy)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x5:((cP Xy0)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x3:((cP Xy)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x3:((cP Xy)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x5:((cP Xy0)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x5 as proof of ((cP x7)->(cP Xy))
% 137.72/138.10 Found x3:((cP Xy)->(cP x0))
% 137.72/138.10 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x3 as proof of ((cP x7)->(cP Xy0))
% 137.72/138.10 Found x40:=(x4 x31):(cP Xy0)
% 137.72/138.10 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.10 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.10 Found (x4 x31) as proof of (cP Xy1)
% 137.72/138.10 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.10 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 137.72/138.10 Found x40:=(x4 x50):(cP Xy0)
% 137.72/138.10 Found (x4 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x4 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x4 x50) as proof of (cP Xy1)
% 138.24/138.59 Found x20:=(x2 x50):(cP Xy)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found x20:=(x2 x50):(cP Xy)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found x20:=(x2 x31):(cP Xy)
% 138.24/138.59 Found (x2 x31) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x31) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x31) as proof of (cP Xy1)
% 138.24/138.59 Found x20:=(x2 x50):(cP Xy)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found x50:(cP x0)
% 138.24/138.59 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 138.24/138.59 Found x30:(cP x0)
% 138.24/138.59 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 138.24/138.59 Found x30:(cP x0)
% 138.24/138.59 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 138.24/138.59 Found x50:(cP x0)
% 138.24/138.59 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 138.24/138.59 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 138.24/138.59 Found x8:(cP x7)
% 138.24/138.59 Instantiate: Xy0:=x7:fofType
% 138.24/138.59 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 138.24/138.59 Found x8:(cP x7)
% 138.24/138.59 Instantiate: Xy:=x7:fofType
% 138.24/138.59 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 138.24/138.59 Found x8:(cP x7)
% 138.24/138.59 Instantiate: Xy0:=x7:fofType
% 138.24/138.59 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 138.24/138.59 Found x8:(cP x7)
% 138.24/138.59 Instantiate: Xy:=x7:fofType
% 138.24/138.59 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 138.24/138.59 Found x8:(cP x7)
% 138.24/138.59 Instantiate: Xy:=x7:fofType
% 138.24/138.59 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 138.24/138.59 Found x8:(cP x7)
% 138.24/138.59 Instantiate: Xy0:=x7:fofType
% 138.24/138.59 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 138.24/138.59 Found x5:((cP Xy0)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 138.24/138.59 Found x5 as proof of ((cP x7)->(cP Xy))
% 138.24/138.59 Found x5:((cP Xy0)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 138.24/138.59 Found x5 as proof of ((cP x7)->(cP Xy))
% 138.24/138.59 Found x3:((cP Xy)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 138.24/138.59 Found x3 as proof of ((cP x7)->(cP Xy0))
% 138.24/138.59 Found x3:((cP Xy)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 138.24/138.59 Found x3 as proof of ((cP x7)->(cP Xy0))
% 138.24/138.59 Found x3:((cP Xy)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 138.24/138.59 Found x3 as proof of ((cP x7)->(cP Xy0))
% 138.24/138.59 Found x5:((cP Xy0)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 138.24/138.59 Found x5 as proof of ((cP x7)->(cP Xy))
% 138.24/138.59 Found x3:((cP Xy)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 138.24/138.59 Found x3 as proof of ((cP x7)->(cP Xy0))
% 138.24/138.59 Found x5:((cP Xy0)->(cP x0))
% 138.24/138.59 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 138.24/138.59 Found x5 as proof of ((cP x7)->(cP Xy))
% 138.24/138.59 Found x40:=(x4 x31):(cP Xy0)
% 138.24/138.59 Found (x4 x31) as proof of (cP Xy1)
% 138.24/138.59 Found (x4 x31) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 138.24/138.59 Found x40:=(x4 x50):(cP Xy0)
% 138.24/138.59 Found (x4 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x4 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.24/138.59 Found x20:=(x2 x50):(cP Xy)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.24/138.59 Found x20:=(x2 x50):(cP Xy)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.24/138.59 Found x20:=(x2 x50):(cP Xy)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (x2 x50) as proof of (cP Xy1)
% 138.24/138.59 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x20:=(x2 x31):(cP Xy)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x20:=(x2 x50):(cP Xy)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x20:=(x2 x31):(cP Xy)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x40:=(x4 x31):(cP Xy0)
% 138.70/139.05 Found (x4 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x31) as proof of (cP Xy1)
% 138.70/139.05 Found x20:=(x2 x50):(cP Xy)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x20:=(x2 x50):(cP Xy)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x40:=(x4 x31):(cP Xy0)
% 138.70/139.05 Found (x4 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x20:=(x2 x50):(cP Xy)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x20:=(x2 x31):(cP Xy)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x31) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x20:=(x2 x50):(cP Xy)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x20:=(x2 x50):(cP Xy)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x40:=(x4 x50):(cP Xy0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 138.70/139.05 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 138.70/139.05 Found x50:(cP x0)
% 138.70/139.05 Found x50 as proof of (cP x0)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x4 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x50:(cP x0)
% 138.70/139.05 Found x50 as proof of (cP x0)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found x50:(cP x0)
% 138.70/139.05 Found x50 as proof of (cP x0)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 138.70/139.05 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found x50:(cP x0)
% 139.13/139.40 Found x50 as proof of (cP x0)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found x31:(cP x0)
% 139.13/139.40 Found x31 as proof of (cP x0)
% 139.13/139.40 Found (x4 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x31) as proof of (cP Xy1)
% 139.13/139.40 Found x50:(cP x0)
% 139.13/139.40 Found x50 as proof of (cP x0)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found x50:(cP x0)
% 139.13/139.40 Found x50 as proof of (cP x0)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found x31:(cP x0)
% 139.13/139.40 Found x31 as proof of (cP x0)
% 139.13/139.40 Found (x2 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x31) as proof of (cP Xy1)
% 139.13/139.40 Found x8:(cP x7)
% 139.13/139.40 Instantiate: Xy0:=x7:fofType
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 139.13/139.40 Found x8:(cP x7)
% 139.13/139.40 Instantiate: Xy:=x7:fofType
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 139.13/139.40 Found x8:(cP x7)
% 139.13/139.40 Instantiate: Xy:=x7:fofType
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 139.13/139.40 Found x8:(cP x7)
% 139.13/139.40 Instantiate: Xy0:=x7:fofType
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 139.13/139.40 Found x30:(cP x0)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 139.13/139.40 Found x50:(cP x0)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 139.13/139.40 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 139.13/139.40 Found x20:=(x2 x50):(cP Xy)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.13/139.40 Found x40:=(x4 x50):(cP Xy0)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.13/139.40 Found x20:=(x2 x50):(cP Xy)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.13/139.40 Found x40:=(x4 x31):(cP Xy0)
% 139.13/139.40 Found (x4 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.13/139.40 Found x20:=(x2 x31):(cP Xy)
% 139.13/139.40 Found (x2 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x31) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.13/139.40 Found x40:=(x4 x50):(cP Xy0)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x4 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.13/139.40 Found x20:=(x2 x50):(cP Xy)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (x2 x50) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.13/139.40 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.46/139.77 Found x40:=(x4 x50):(cP Xy0)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 139.46/139.77 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.46/139.77 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found x50 as proof of (cP x0)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found x50 as proof of (cP x0)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found x50 as proof of (cP x0)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found x31:(cP x0)
% 139.46/139.77 Found x31 as proof of (cP x0)
% 139.46/139.77 Found (x4 x31) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x31) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x31) as proof of (cP Xy1)
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found x50 as proof of (cP x0)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x50) as proof of (cP Xy1)
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found x50 as proof of (cP x0)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found x50 as proof of (cP x0)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found (x4 x50) as proof of (cP Xy1)
% 139.46/139.77 Found x31:(cP x0)
% 139.46/139.77 Found x31 as proof of (cP x0)
% 139.46/139.77 Found (x2 x31) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x31) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x31) as proof of (cP Xy1)
% 139.46/139.77 Found x8:(cP x7)
% 139.46/139.77 Instantiate: Xy:=x7:fofType
% 139.46/139.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 139.46/139.77 Found x8:(cP x7)
% 139.46/139.77 Instantiate: Xy0:=x7:fofType
% 139.46/139.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 139.46/139.77 Found x5:((cP Xy0)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x5:((cP Xy0)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x3:((cP Xy)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x3:((cP Xy)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x3:((cP Xy)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x5:((cP Xy0)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x3:((cP Xy)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.46/139.77 Found x5:((cP Xy0)->(cP x0))
% 139.46/139.77 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.46/139.77 Found x8:(cP x7)
% 139.46/139.77 Instantiate: Xy0:=x7:fofType
% 139.46/139.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 139.46/139.77 Found x8:(cP x7)
% 139.46/139.77 Instantiate: Xy0:=x7:fofType
% 139.46/139.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 139.46/139.77 Found x8:(cP x7)
% 139.46/139.77 Instantiate: Xy:=x7:fofType
% 139.46/139.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 139.46/139.77 Found x8:(cP x7)
% 139.46/139.77 Instantiate: Xy:=x7:fofType
% 139.46/139.77 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 139.46/139.77 Found x30:(cP x0)
% 139.46/139.77 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 139.46/139.77 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 139.46/139.77 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 139.46/139.77 Found x50:(cP x0)
% 139.46/139.77 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 139.46/139.77 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 139.46/139.77 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 139.46/139.77 Found x31:(cP x0)
% 139.46/139.77 Found x31 as proof of (cP x0)
% 139.46/139.77 Found (x2 x31) as proof of (cP Xy1)
% 139.46/139.77 Found (x2 x31) as proof of (cP Xy1)
% 139.46/139.77 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 139.46/139.77 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x31:(cP x0)
% 139.76/140.09 Found x31 as proof of (cP x0)
% 139.76/140.09 Found (x4 x31) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x31) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 139.76/140.09 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found x31:(cP x0)
% 139.76/140.09 Found x31 as proof of (cP x0)
% 139.76/140.09 Found (x4 x31) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x31) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x31) as proof of (cP Xy1)
% 139.76/140.09 Found x31:(cP x0)
% 139.76/140.09 Found x31 as proof of (cP x0)
% 139.76/140.09 Found (x2 x31) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x31) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x31) as proof of (cP Xy1)
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x4 x50) as proof of (cP Xy1)
% 139.76/140.09 Found x50:(cP x0)
% 139.76/140.09 Found x50 as proof of (cP x0)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found (x2 x50) as proof of (cP Xy1)
% 139.76/140.09 Found x5:((cP Xy0)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.76/140.09 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.76/140.09 Found x3:((cP Xy)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.76/140.09 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.76/140.09 Found x3:((cP Xy)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.76/140.09 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.76/140.09 Found x5:((cP Xy0)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.76/140.09 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.76/140.09 Found x5:((cP Xy0)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.76/140.09 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.76/140.09 Found x5:((cP Xy0)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 139.76/140.09 Found x5 as proof of ((cP x7)->(cP Xy))
% 139.76/140.09 Found x3:((cP Xy)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.76/140.09 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.76/140.09 Found x3:((cP Xy)->(cP x0))
% 139.76/140.09 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 139.76/140.09 Found x3 as proof of ((cP x7)->(cP Xy0))
% 139.76/140.09 Found x8:(cP x7)
% 139.76/140.09 Instantiate: Xy:=x7:fofType
% 139.76/140.09 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 139.76/140.09 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 139.76/140.09 Found x8:(cP x7)
% 139.76/140.09 Instantiate: Xy0:=x7:fofType
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 140.06/140.39 Found x8:(cP x7)
% 140.06/140.39 Instantiate: Xy0:=x7:fofType
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 140.06/140.39 Found x8:(cP x7)
% 140.06/140.39 Instantiate: Xy:=x7:fofType
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 140.06/140.39 Found x30:(cP x0)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 140.06/140.39 Found (fun (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found x50 as proof of (cP x0)
% 140.06/140.39 Found (x4 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (x4 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found x50 as proof of (cP x0)
% 140.06/140.39 Found (x2 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (x2 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x31:(cP x0)
% 140.06/140.39 Found x31 as proof of (cP x0)
% 140.06/140.39 Found (x2 x31) as proof of (cP Xy1)
% 140.06/140.39 Found (x2 x31) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x31:(cP x0)
% 140.06/140.39 Found x31 as proof of (cP x0)
% 140.06/140.39 Found (x4 x31) as proof of (cP Xy1)
% 140.06/140.39 Found (x4 x31) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found x50 as proof of (cP x0)
% 140.06/140.39 Found (x4 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (x4 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found x50 as proof of (cP x0)
% 140.06/140.39 Found (x4 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (x4 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found x50 as proof of (cP x0)
% 140.06/140.39 Found (x2 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (x2 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Found x50 as proof of (cP x0)
% 140.06/140.39 Found (x2 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (x2 x50) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 140.06/140.39 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.06/140.39 Found x30:(cP x0)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x30 as proof of (cP Xy)
% 140.06/140.39 Found x51:(cP x0)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x51 as proof of (cP Xy)
% 140.06/140.39 Found x51:(cP x0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x51 as proof of (cP Xy0)
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x50 as proof of (cP Xy)
% 140.06/140.39 Found x31:(cP x0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x31 as proof of (cP Xy0)
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x50 as proof of (cP Xy0)
% 140.06/140.39 Found x30:(cP x0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x30 as proof of (cP Xy0)
% 140.06/140.39 Found x8:(cP x7)
% 140.06/140.39 Instantiate: Xy:=x7:fofType
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 140.06/140.39 Found x8:(cP x7)
% 140.06/140.39 Instantiate: Xy0:=x7:fofType
% 140.06/140.39 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 140.06/140.39 Found x31:(cP x0)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x31 as proof of (cP Xy)
% 140.06/140.39 Found x20:(cP Xy)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x20 as proof of (cP x0)
% 140.06/140.39 Found x40:(cP Xy0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x40 as proof of (cP x0)
% 140.06/140.39 Found x40:(cP Xy0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x40 as proof of (cP x0)
% 140.06/140.39 Found x20:(cP Xy)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x20 as proof of (cP x0)
% 140.06/140.39 Found x3:((cP Xy)->(cP x0))
% 140.06/140.39 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.06/140.39 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.06/140.39 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.06/140.39 Found x41:(cP Xy0)
% 140.06/140.39 Instantiate: Xy0:=x0:fofType
% 140.06/140.39 Found x41 as proof of (cP x0)
% 140.06/140.39 Found x50:(cP x0)
% 140.06/140.39 Instantiate: Xy:=x0:fofType
% 140.06/140.39 Found x50 as proof of (cP Xy)
% 140.06/140.39 Found x5:((cP Xy0)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x30:(cP x0)
% 140.44/140.74 Instantiate: Xy0:=x0:fofType
% 140.44/140.74 Found x30 as proof of (cP Xy0)
% 140.44/140.74 Found x5:((cP Xy0)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x30:(cP x0)
% 140.44/140.74 Found x30 as proof of (cP x0)
% 140.44/140.74 Found x5:((cP Xy0)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x41:(cP Xy0)
% 140.44/140.74 Instantiate: Xy0:=x0:fofType
% 140.44/140.74 Found x41 as proof of (cP x0)
% 140.44/140.74 Found x41:(cP Xy0)
% 140.44/140.74 Instantiate: Xy:=Xy0:fofType
% 140.44/140.74 Found x41 as proof of (cP Xy)
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Found x50 as proof of (cP x0)
% 140.44/140.74 Found x21:(cP Xy)
% 140.44/140.74 Instantiate: Xy:=x0:fofType
% 140.44/140.74 Found x21 as proof of (cP x0)
% 140.44/140.74 Found x30:(cP x0)
% 140.44/140.74 Instantiate: Xy:=x0:fofType
% 140.44/140.74 Found x30 as proof of (cP Xy)
% 140.44/140.74 Found x21:(cP Xy)
% 140.44/140.74 Instantiate: Xy:=x0:fofType
% 140.44/140.74 Found x21 as proof of (cP x0)
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Instantiate: Xy0:=x0:fofType
% 140.44/140.74 Found x50 as proof of (cP Xy0)
% 140.44/140.74 Found x5:((cP Xy0)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.44/140.74 Found x21:(cP Xy)
% 140.44/140.74 Instantiate: Xy0:=Xy:fofType
% 140.44/140.74 Found x21 as proof of (cP Xy0)
% 140.44/140.74 Found x3:((cP Xy)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.44/140.74 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.44/140.74 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.44/140.74 Found x3:((cP Xy)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.44/140.74 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.44/140.74 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.44/140.74 Found x3:((cP Xy)->(cP x0))
% 140.44/140.74 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.44/140.74 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.44/140.74 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.44/140.74 Found x20:(cP Xy)
% 140.44/140.74 Instantiate: Xy0:=Xy:fofType
% 140.44/140.74 Found x20 as proof of (cP Xy0)
% 140.44/140.74 Found x40:(cP Xy0)
% 140.44/140.74 Instantiate: Xy:=Xy0:fofType
% 140.44/140.74 Found x40 as proof of (cP Xy)
% 140.44/140.74 Found x8:(cP x7)
% 140.44/140.74 Instantiate: Xy:=x7:fofType
% 140.44/140.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 140.44/140.74 Found x8:(cP x7)
% 140.44/140.74 Instantiate: Xy:=x7:fofType
% 140.44/140.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 140.44/140.74 Found x8:(cP x7)
% 140.44/140.74 Instantiate: Xy0:=x7:fofType
% 140.44/140.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 140.44/140.74 Found x8:(cP x7)
% 140.44/140.74 Instantiate: Xy0:=x7:fofType
% 140.44/140.74 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 140.44/140.74 Found x30:(cP x0)
% 140.44/140.74 Found (fun (x8:(cP x7))=> x30) as proof of (cP x0)
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of ((cP x7)->(cP x0))
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Found (fun (x8:(cP x7))=> x50) as proof of (cP x0)
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of ((cP x7)->(cP x0))
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> x50) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Found x50 as proof of (cP x0)
% 140.44/140.74 Found (x2 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (x2 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Found x50 as proof of (cP x0)
% 140.44/140.74 Found (x4 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (x4 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Found x50 as proof of (cP x0)
% 140.44/140.74 Found (x4 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (x4 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.44/140.74 Found x50:(cP x0)
% 140.44/140.74 Found x50 as proof of (cP x0)
% 140.44/140.74 Found (x4 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (x4 x50) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x8:(cP x7))=> (x4 x50)) as proof of (cP Xy1)
% 140.44/140.74 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Found x50 as proof of (cP x0)
% 140.74/141.06 Found (x2 x50) as proof of (cP Xy1)
% 140.74/141.06 Found (x2 x50) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.74/141.06 Found x31:(cP x0)
% 140.74/141.06 Found x31 as proof of (cP x0)
% 140.74/141.06 Found (x4 x31) as proof of (cP Xy1)
% 140.74/141.06 Found (x4 x31) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x8:(cP x7))=> (x4 x31)) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x31)) as proof of ((cP x7)->(cP Xy1))
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.74/141.06 Found x31:(cP x0)
% 140.74/141.06 Found x31 as proof of (cP x0)
% 140.74/141.06 Found (x2 x31) as proof of (cP Xy1)
% 140.74/141.06 Found (x2 x31) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x8:(cP x7))=> (x2 x31)) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of ((cP x7)->(cP Xy1))
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x31)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Found x50 as proof of (cP x0)
% 140.74/141.06 Found (x2 x50) as proof of (cP Xy1)
% 140.74/141.06 Found (x2 x50) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x8:(cP x7))=> (x2 x50)) as proof of (cP Xy1)
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of ((cP x7)->(cP Xy1))
% 140.74/141.06 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x50)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 140.74/141.06 Found x51:(cP x0)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x51 as proof of (cP Xy)
% 140.74/141.06 Found x30:(cP x0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x30 as proof of (cP Xy0)
% 140.74/141.06 Found x30:(cP x0)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x30 as proof of (cP Xy)
% 140.74/141.06 Found x31:(cP x0)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x31 as proof of (cP Xy)
% 140.74/141.06 Found x31:(cP x0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x31 as proof of (cP Xy0)
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x50 as proof of (cP Xy0)
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x50 as proof of (cP Xy)
% 140.74/141.06 Found x51:(cP x0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x51 as proof of (cP Xy0)
% 140.74/141.06 Found x20:(cP Xy)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x20 as proof of (cP x0)
% 140.74/141.06 Found x20:(cP Xy)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x20 as proof of (cP x0)
% 140.74/141.06 Found x40:(cP Xy0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x40 as proof of (cP x0)
% 140.74/141.06 Found x40:(cP Xy0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x40 as proof of (cP x0)
% 140.74/141.06 Found x21:(cP Xy)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x21 as proof of (cP x0)
% 140.74/141.06 Found x41:(cP Xy0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x41 as proof of (cP x0)
% 140.74/141.06 Found x41:(cP Xy0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x41 as proof of (cP x0)
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x50 as proof of (cP Xy0)
% 140.74/141.06 Found x21:(cP Xy)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x21 as proof of (cP x0)
% 140.74/141.06 Found x30:(cP x0)
% 140.74/141.06 Found x30 as proof of (cP x0)
% 140.74/141.06 Found x30:(cP x0)
% 140.74/141.06 Instantiate: Xy0:=x0:fofType
% 140.74/141.06 Found x30 as proof of (cP Xy0)
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Found x50 as proof of (cP x0)
% 140.74/141.06 Found x41:(cP Xy0)
% 140.74/141.06 Instantiate: Xy:=Xy0:fofType
% 140.74/141.06 Found x41 as proof of (cP Xy)
% 140.74/141.06 Found x21:(cP Xy)
% 140.74/141.06 Instantiate: Xy0:=Xy:fofType
% 140.74/141.06 Found x21 as proof of (cP Xy0)
% 140.74/141.06 Found x30:(cP x0)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x30 as proof of (cP Xy)
% 140.74/141.06 Found x50:(cP x0)
% 140.74/141.06 Instantiate: Xy:=x0:fofType
% 140.74/141.06 Found x50 as proof of (cP Xy)
% 140.74/141.06 Found x3:((cP Xy)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.74/141.06 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.74/141.06 Found x5:((cP Xy0)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.74/141.06 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.74/141.06 Found x5:((cP Xy0)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.74/141.06 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.74/141.06 Found x3:((cP Xy)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.74/141.06 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.74/141.06 Found x5:((cP Xy0)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 140.74/141.06 Found x5 as proof of ((cP x7)->(cP Xy))
% 140.74/141.06 Found x3:((cP Xy)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 140.74/141.06 Found x3 as proof of ((cP x7)->(cP Xy0))
% 140.74/141.06 Found x5:((cP Xy0)->(cP x0))
% 140.74/141.06 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 142.21/142.51 Found x5 as proof of ((cP x7)->(cP Xy))
% 142.21/142.51 Found x3:((cP Xy)->(cP x0))
% 142.21/142.51 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 142.21/142.51 Found x3 as proof of ((cP x7)->(cP Xy0))
% 142.21/142.51 Found x20:(cP Xy)
% 142.21/142.51 Instantiate: Xy0:=Xy:fofType
% 142.21/142.51 Found x20 as proof of (cP Xy0)
% 142.21/142.51 Found x40:(cP Xy0)
% 142.21/142.51 Instantiate: Xy:=Xy0:fofType
% 142.21/142.51 Found x40 as proof of (cP Xy)
% 142.21/142.51 Found x31:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x31 as proof of (cP Xy0)
% 142.21/142.51 Found x51:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x51 as proof of (cP Xy0)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy0)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy0)
% 142.21/142.51 Found x31:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x31 as proof of (cP Xy)
% 142.21/142.51 Found x51:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x51 as proof of (cP Xy)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy)
% 142.21/142.51 Found x31:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x31 as proof of (cP Xy)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy0)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy0)
% 142.21/142.51 Found x51:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x51 as proof of (cP Xy)
% 142.21/142.51 Found x51:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x51 as proof of (cP Xy0)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy)
% 142.21/142.51 Found x31:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x31 as proof of (cP Xy0)
% 142.21/142.51 Found x20:(cP Xy)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x20 as proof of (cP x0)
% 142.21/142.51 Found x20:(cP Xy)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x20 as proof of (cP x0)
% 142.21/142.51 Found x40:(cP Xy0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x40 as proof of (cP x0)
% 142.21/142.51 Found x40:(cP Xy0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x40 as proof of (cP x0)
% 142.21/142.51 Found x21:(cP Xy)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x21 as proof of (cP x0)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy0)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Found x50 as proof of (cP x0)
% 142.21/142.51 Found x41:(cP Xy0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x41 as proof of (cP x0)
% 142.21/142.51 Found x41:(cP Xy0)
% 142.21/142.51 Instantiate: Xy:=Xy0:fofType
% 142.21/142.51 Found x41 as proof of (cP Xy)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy0)
% 142.21/142.51 Found x21:(cP Xy)
% 142.21/142.51 Instantiate: Xy0:=Xy:fofType
% 142.21/142.51 Found x21 as proof of (cP Xy0)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Found x30 as proof of (cP x0)
% 142.21/142.51 Found x21:(cP Xy)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x21 as proof of (cP x0)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy)
% 142.21/142.51 Found x41:(cP Xy0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x41 as proof of (cP x0)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy0)
% 142.21/142.51 Found x31:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x31 as proof of (cP Xy)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy)
% 142.21/142.51 Found x51:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x51 as proof of (cP Xy0)
% 142.21/142.51 Found x31:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x31 as proof of (cP Xy0)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy0)
% 142.21/142.51 Found x51:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x51 as proof of (cP Xy)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Found x30 as proof of (cP x0)
% 142.21/142.51 Found x41:(cP Xy0)
% 142.21/142.51 Instantiate: Xy0:=Xy1:fofType
% 142.21/142.51 Found x41 as proof of (cP Xy1)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy0)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x50 as proof of (cP Xy)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy0:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy0)
% 142.21/142.51 Found x21:(cP Xy)
% 142.21/142.51 Instantiate: Xy:=Xy1:fofType
% 142.21/142.51 Found x21 as proof of (cP Xy1)
% 142.21/142.51 Found x30:(cP x0)
% 142.21/142.51 Instantiate: Xy:=x0:fofType
% 142.21/142.51 Found x30 as proof of (cP Xy)
% 142.21/142.51 Found x50:(cP x0)
% 142.21/142.51 Found x50 as proof of (cP x0)
% 142.21/142.51 Found x8:(cP x7)
% 142.21/142.51 Instantiate: Xy0:=x7:fofType
% 142.21/142.51 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 142.21/142.51 Found x8:(cP x7)
% 142.21/142.51 Instantiate: Xy:=x7:fofType
% 142.21/142.51 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 142.95/143.31 Found x8:(cP x7)
% 142.95/143.31 Instantiate: Xy0:=x7:fofType
% 142.95/143.31 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 142.95/143.31 Found x8:(cP x7)
% 142.95/143.31 Instantiate: Xy:=x7:fofType
% 142.95/143.31 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy0)
% 142.95/143.31 Found x51:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x51 as proof of (cP Xy)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy0)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy)
% 142.95/143.31 Found x31:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x31 as proof of (cP Xy)
% 142.95/143.31 Found x51:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x51 as proof of (cP Xy0)
% 142.95/143.31 Found x31:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x31 as proof of (cP Xy0)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=Xy1:fofType
% 142.95/143.31 Found x21 as proof of (cP Xy1)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=Xy1:fofType
% 142.95/143.31 Found x21 as proof of (cP Xy1)
% 142.95/143.31 Found x20:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x20 as proof of (cP x0)
% 142.95/143.31 Found x20:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x20 as proof of (cP x0)
% 142.95/143.31 Found x40:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x40 as proof of (cP x0)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found x41 as proof of (cP Xy1)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found x41 as proof of (cP Xy1)
% 142.95/143.31 Found x40:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x40 as proof of (cP x0)
% 142.95/143.31 Found x20:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=Xy1:fofType
% 142.95/143.31 Found x20 as proof of (cP Xy1)
% 142.95/143.31 Found x31:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x31 as proof of (cP Xy0)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found x41 as proof of (cP Xy1)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=Xy1:fofType
% 142.95/143.31 Found x21 as proof of (cP Xy1)
% 142.95/143.31 Found x42:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found x42 as proof of (cP Xy1)
% 142.95/143.31 Found x22:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=Xy1:fofType
% 142.95/143.31 Found x22 as proof of (cP Xy1)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy0)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy)
% 142.95/143.31 Found x40:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found x40 as proof of (cP Xy1)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x41 as proof of (cP x0)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy0)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x41 as proof of (cP x0)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x21 as proof of (cP x0)
% 142.95/143.31 Found x31:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x31 as proof of (cP Xy)
% 142.95/143.31 Found x51:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x51 as proof of (cP Xy)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy:=Xy0:fofType
% 142.95/143.31 Found x41 as proof of (cP Xy)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy0)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x21 as proof of (cP x0)
% 142.95/143.31 Found x51:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x51 as proof of (cP Xy0)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy0)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Found x30 as proof of (cP x0)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy0:=Xy:fofType
% 142.95/143.31 Found x21 as proof of (cP Xy0)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Found x50 as proof of (cP x0)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Found x30 as proof of (cP x0)
% 142.95/143.31 Found x41:(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found x41 as proof of (cP Xy1)
% 142.95/143.31 Found x21:(cP Xy)
% 142.95/143.31 Instantiate: Xy:=Xy1:fofType
% 142.95/143.31 Found x21 as proof of (cP Xy1)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy0)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy0:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy0)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Found x50 as proof of (cP x0)
% 142.95/143.31 Found x50:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x50 as proof of (cP Xy)
% 142.95/143.31 Found x30:(cP x0)
% 142.95/143.31 Instantiate: Xy:=x0:fofType
% 142.95/143.31 Found x30 as proof of (cP Xy)
% 142.95/143.31 Found x40:=(x4 x30):(cP Xy0)
% 142.95/143.31 Instantiate: Xy0:=Xy1:fofType
% 142.95/143.31 Found (x4 x30) as proof of (cP Xy1)
% 142.95/143.31 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.25/143.61 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found x40:=(x4 x30):(cP Xy0)
% 143.25/143.61 Instantiate: Xy0:=Xy1:fofType
% 143.25/143.61 Found (x4 x30) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.25/143.61 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found x40:=(x4 x51):(cP Xy0)
% 143.25/143.61 Instantiate: Xy0:=Xy1:fofType
% 143.25/143.61 Found (x4 x51) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.25/143.61 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.25/143.61 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.25/143.61 Found x20:=(x2 x30):(cP Xy)
% 143.25/143.61 Instantiate: Xy:=Xy1:fofType
% 143.25/143.61 Found (x2 x30) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.25/143.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.25/143.61 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.25/143.61 Found x51:(cP x0)
% 143.25/143.61 Instantiate: Xy0:=x0:fofType
% 143.25/143.61 Found x51 as proof of (cP Xy0)
% 143.25/143.61 Found x50:(cP x0)
% 143.25/143.61 Instantiate: Xy0:=x0:fofType
% 143.25/143.61 Found x50 as proof of (cP Xy0)
% 143.25/143.61 Found x31:(cP x0)
% 143.25/143.61 Instantiate: Xy0:=x0:fofType
% 143.25/143.61 Found x31 as proof of (cP Xy0)
% 143.25/143.61 Found x50:(cP x0)
% 143.25/143.61 Instantiate: Xy:=x0:fofType
% 143.25/143.61 Found x50 as proof of (cP Xy)
% 143.25/143.61 Found x51:(cP x0)
% 143.25/143.61 Instantiate: Xy:=x0:fofType
% 143.25/143.61 Found x51 as proof of (cP Xy)
% 143.25/143.61 Found x30:(cP x0)
% 143.25/143.61 Instantiate: Xy:=x0:fofType
% 143.25/143.61 Found x30 as proof of (cP Xy)
% 143.25/143.61 Found x30:(cP x0)
% 143.25/143.61 Instantiate: Xy0:=x0:fofType
% 143.25/143.61 Found x30 as proof of (cP Xy0)
% 143.25/143.61 Found x31:(cP x0)
% 143.25/143.61 Instantiate: Xy:=x0:fofType
% 143.25/143.61 Found x31 as proof of (cP Xy)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found x41 as proof of (cP Xy1)
% 143.71/144.01 Found x40:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=x0:fofType
% 143.71/144.01 Found x40 as proof of (cP x0)
% 143.71/144.01 Found x20:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=x0:fofType
% 143.71/144.01 Found x20 as proof of (cP x0)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found x41 as proof of (cP Xy1)
% 143.71/144.01 Found x40:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=x0:fofType
% 143.71/144.01 Found x40 as proof of (cP x0)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found x21 as proof of (cP Xy1)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found x21 as proof of (cP Xy1)
% 143.71/144.01 Found x20:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=x0:fofType
% 143.71/144.01 Found x20 as proof of (cP x0)
% 143.71/144.01 Found x30:(cP x0)
% 143.71/144.01 Found x30 as proof of (cP x0)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found x41 as proof of (cP Xy1)
% 143.71/144.01 Found x42:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found x42 as proof of (cP Xy1)
% 143.71/144.01 Found x22:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found x22 as proof of (cP Xy1)
% 143.71/144.01 Found x50:(cP x0)
% 143.71/144.01 Found x50 as proof of (cP x0)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found x21 as proof of (cP Xy1)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=x0:fofType
% 143.71/144.01 Found x41 as proof of (cP x0)
% 143.71/144.01 Found x50:(cP x0)
% 143.71/144.01 Instantiate: Xy:=x0:fofType
% 143.71/144.01 Found x50 as proof of (cP Xy)
% 143.71/144.01 Found x40:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found x40 as proof of (cP Xy1)
% 143.71/144.01 Found x30:(cP x0)
% 143.71/144.01 Instantiate: Xy0:=x0:fofType
% 143.71/144.01 Found x30 as proof of (cP Xy0)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=x0:fofType
% 143.71/144.01 Found x21 as proof of (cP x0)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy0:=Xy:fofType
% 143.71/144.01 Found x21 as proof of (cP Xy0)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy:=Xy0:fofType
% 143.71/144.01 Found x41 as proof of (cP Xy)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=x0:fofType
% 143.71/144.01 Found x21 as proof of (cP x0)
% 143.71/144.01 Found x30:(cP x0)
% 143.71/144.01 Instantiate: Xy:=x0:fofType
% 143.71/144.01 Found x30 as proof of (cP Xy)
% 143.71/144.01 Found x50:(cP x0)
% 143.71/144.01 Instantiate: Xy0:=x0:fofType
% 143.71/144.01 Found x50 as proof of (cP Xy0)
% 143.71/144.01 Found x20:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found x20 as proof of (cP Xy1)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=x0:fofType
% 143.71/144.01 Found x41 as proof of (cP x0)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found x41 as proof of (cP Xy1)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found x21 as proof of (cP Xy1)
% 143.71/144.01 Found x21:(cP Xy)
% 143.71/144.01 Found x21 as proof of (cP Xy1)
% 143.71/144.01 Found x41:(cP Xy0)
% 143.71/144.01 Found x41 as proof of (cP Xy1)
% 143.71/144.01 Found x8:(cP x7)
% 143.71/144.01 Instantiate: Xy:=x7:fofType
% 143.71/144.01 Found x8 as proof of (cP Xy)
% 143.71/144.01 Found (x3 x8) as proof of (cP x0)
% 143.71/144.01 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 143.71/144.01 Found x8:(cP x7)
% 143.71/144.01 Instantiate: Xy0:=x7:fofType
% 143.71/144.01 Found x8 as proof of (cP Xy0)
% 143.71/144.01 Found (x5 x8) as proof of (cP x0)
% 143.71/144.01 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 143.71/144.01 Found x40:=(x4 x51):(cP Xy0)
% 143.71/144.01 Instantiate: Xy0:=Xy1:fofType
% 143.71/144.01 Found (x4 x51) as proof of (cP Xy1)
% 143.71/144.01 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 143.71/144.01 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 143.71/144.01 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.71/144.01 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.71/144.01 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.71/144.01 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.71/144.01 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 143.71/144.01 Found x20:=(x2 x30):(cP Xy)
% 143.71/144.01 Instantiate: Xy:=Xy1:fofType
% 143.71/144.01 Found (x2 x30) as proof of (cP Xy1)
% 143.71/144.01 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 143.71/144.01 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.71/144.01 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.71/144.01 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.71/144.01 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.71/144.01 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found x40:=(x4 x30):(cP Xy0)
% 143.84/144.11 Instantiate: Xy0:=Xy1:fofType
% 143.84/144.11 Found (x4 x30) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.84/144.11 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found x40:=(x4 x30):(cP Xy0)
% 143.84/144.11 Instantiate: Xy0:=Xy1:fofType
% 143.84/144.11 Found (x4 x30) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.84/144.11 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found x8:(cP x7)
% 143.84/144.11 Instantiate: Xy:=x7:fofType
% 143.84/144.11 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 143.84/144.11 Found x8:(cP x7)
% 143.84/144.11 Instantiate: Xy0:=x7:fofType
% 143.84/144.11 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 143.84/144.11 Found x8:(cP x7)
% 143.84/144.11 Instantiate: Xy:=x7:fofType
% 143.84/144.11 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 143.84/144.11 Found x8:(cP x7)
% 143.84/144.11 Instantiate: Xy0:=x7:fofType
% 143.84/144.11 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 143.84/144.11 Found x41:(cP Xy0)
% 143.84/144.11 Instantiate: Xy0:=Xy1:fofType
% 143.84/144.11 Found x41 as proof of (cP Xy1)
% 143.84/144.11 Found x21:(cP Xy)
% 143.84/144.11 Instantiate: Xy:=Xy1:fofType
% 143.84/144.11 Found x21 as proof of (cP Xy1)
% 143.84/144.11 Found x40:=(x4 x30):(cP Xy0)
% 143.84/144.11 Instantiate: Xy0:=Xy1:fofType
% 143.84/144.11 Found (x4 x30) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.84/144.11 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found x20:=(x2 x30):(cP Xy)
% 143.84/144.11 Instantiate: Xy:=Xy1:fofType
% 143.84/144.11 Found (x2 x30) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 143.84/144.11 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 143.84/144.11 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 143.84/144.11 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.32/144.67 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.32/144.67 Found x40:=(x4 x30):(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found (x4 x30) as proof of (cP Xy1)
% 144.32/144.67 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 144.32/144.67 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 144.32/144.67 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 144.32/144.67 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.32/144.67 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.32/144.67 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.32/144.67 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.32/144.67 Found x40:=(x4 x51):(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found (x4 x51) as proof of (cP Xy1)
% 144.32/144.67 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 144.32/144.67 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 144.32/144.67 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 144.32/144.67 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 144.32/144.67 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 144.32/144.67 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 144.32/144.67 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 144.32/144.67 Found x30:(cP x0)
% 144.32/144.67 Instantiate: Xy:=x0:fofType
% 144.32/144.67 Found x30 as proof of (cP Xy)
% 144.32/144.67 Found x50:(cP x0)
% 144.32/144.67 Instantiate: Xy:=x0:fofType
% 144.32/144.67 Found x50 as proof of (cP Xy)
% 144.32/144.67 Found x31:(cP x0)
% 144.32/144.67 Instantiate: Xy0:=x0:fofType
% 144.32/144.67 Found x31 as proof of (cP Xy0)
% 144.32/144.67 Found x8:(cP x7)
% 144.32/144.67 Instantiate: Xy0:=x7:fofType
% 144.32/144.67 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 144.32/144.67 Found x8:(cP x7)
% 144.32/144.67 Instantiate: Xy:=x7:fofType
% 144.32/144.67 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 144.32/144.67 Found x51:(cP x0)
% 144.32/144.67 Instantiate: Xy:=x0:fofType
% 144.32/144.67 Found x51 as proof of (cP Xy)
% 144.32/144.67 Found x30:(cP x0)
% 144.32/144.67 Instantiate: Xy0:=x0:fofType
% 144.32/144.67 Found x30 as proof of (cP Xy0)
% 144.32/144.67 Found x50:(cP x0)
% 144.32/144.67 Instantiate: Xy0:=x0:fofType
% 144.32/144.67 Found x50 as proof of (cP Xy0)
% 144.32/144.67 Found x31:(cP x0)
% 144.32/144.67 Instantiate: Xy:=x0:fofType
% 144.32/144.67 Found x31 as proof of (cP Xy)
% 144.32/144.67 Found x51:(cP x0)
% 144.32/144.67 Instantiate: Xy0:=x0:fofType
% 144.32/144.67 Found x51 as proof of (cP Xy0)
% 144.32/144.67 Found x21:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=Xy1:fofType
% 144.32/144.67 Found x21 as proof of (cP Xy1)
% 144.32/144.67 Found x41:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found x41 as proof of (cP Xy1)
% 144.32/144.67 Found x20:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=x0:fofType
% 144.32/144.67 Found x20 as proof of (cP x0)
% 144.32/144.67 Found x40:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=x0:fofType
% 144.32/144.67 Found x40 as proof of (cP x0)
% 144.32/144.67 Found x41:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found x41 as proof of (cP Xy1)
% 144.32/144.67 Found x40:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=x0:fofType
% 144.32/144.67 Found x40 as proof of (cP x0)
% 144.32/144.67 Found x21:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=Xy1:fofType
% 144.32/144.67 Found x21 as proof of (cP Xy1)
% 144.32/144.67 Found x20:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=x0:fofType
% 144.32/144.67 Found x20 as proof of (cP x0)
% 144.32/144.67 Found x22:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=Xy1:fofType
% 144.32/144.67 Found x22 as proof of (cP Xy1)
% 144.32/144.67 Found x20:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=Xy1:fofType
% 144.32/144.67 Found x20 as proof of (cP Xy1)
% 144.32/144.67 Found x21:(cP Xy)
% 144.32/144.67 Instantiate: Xy:=Xy1:fofType
% 144.32/144.67 Found x21 as proof of (cP Xy1)
% 144.32/144.67 Found x40:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found x40 as proof of (cP Xy1)
% 144.32/144.67 Found x41:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found x41 as proof of (cP Xy1)
% 144.32/144.67 Found x42:(cP Xy0)
% 144.32/144.67 Instantiate: Xy0:=Xy1:fofType
% 144.32/144.67 Found x42 as proof of (cP Xy1)
% 144.54/144.90 Found x41:(cP Xy0)
% 144.54/144.90 Instantiate: Xy0:=x0:fofType
% 144.54/144.90 Found x41 as proof of (cP x0)
% 144.54/144.90 Found x41:(cP Xy0)
% 144.54/144.90 Instantiate: Xy0:=x0:fofType
% 144.54/144.90 Found x41 as proof of (cP x0)
% 144.54/144.90 Found x41:(cP Xy0)
% 144.54/144.90 Instantiate: Xy:=Xy0:fofType
% 144.54/144.90 Found x41 as proof of (cP Xy)
% 144.54/144.90 Found x30:(cP x0)
% 144.54/144.90 Found x30 as proof of (cP x0)
% 144.54/144.90 Found x21:(cP Xy)
% 144.54/144.90 Instantiate: Xy:=x0:fofType
% 144.54/144.90 Found x21 as proof of (cP x0)
% 144.54/144.90 Found x50:(cP x0)
% 144.54/144.90 Found x50 as proof of (cP x0)
% 144.54/144.90 Found x21:(cP Xy)
% 144.54/144.90 Instantiate: Xy0:=Xy:fofType
% 144.54/144.90 Found x21 as proof of (cP Xy0)
% 144.54/144.90 Found x21:(cP Xy)
% 144.54/144.90 Instantiate: Xy:=x0:fofType
% 144.54/144.90 Found x21 as proof of (cP x0)
% 144.54/144.90 Found x30:(cP x0)
% 144.54/144.90 Instantiate: Xy0:=x0:fofType
% 144.54/144.90 Found x30 as proof of (cP Xy0)
% 144.54/144.90 Found x50:(cP x0)
% 144.54/144.90 Instantiate: Xy:=x0:fofType
% 144.54/144.90 Found x50 as proof of (cP Xy)
% 144.54/144.90 Found x30:(cP x0)
% 144.54/144.90 Instantiate: Xy:=x0:fofType
% 144.54/144.90 Found x30 as proof of (cP Xy)
% 144.54/144.90 Found x50:(cP x0)
% 144.54/144.90 Instantiate: Xy0:=x0:fofType
% 144.54/144.90 Found x50 as proof of (cP Xy0)
% 144.54/144.90 Found x41:(cP Xy0)
% 144.54/144.90 Found x41 as proof of (cP Xy1)
% 144.54/144.90 Found x41:(cP Xy0)
% 144.54/144.90 Instantiate: Xy0:=Xy1:fofType
% 144.54/144.90 Found x41 as proof of (cP Xy1)
% 144.54/144.90 Found x21:(cP Xy)
% 144.54/144.90 Instantiate: Xy:=Xy1:fofType
% 144.54/144.90 Found x21 as proof of (cP Xy1)
% 144.54/144.90 Found x21:(cP Xy)
% 144.54/144.90 Found x21 as proof of (cP Xy1)
% 144.54/144.90 Found x20:=(x2 x30):(cP Xy)
% 144.54/144.90 Instantiate: Xy:=Xy1:fofType
% 144.54/144.90 Found (x2 x30) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 144.54/144.90 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found x20:=(x2 x30):(cP Xy)
% 144.54/144.90 Instantiate: Xy:=Xy1:fofType
% 144.54/144.90 Found (x2 x30) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 144.54/144.90 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found x40:=(x4 x30):(cP Xy0)
% 144.54/144.90 Instantiate: Xy0:=Xy1:fofType
% 144.54/144.90 Found (x4 x30) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 144.54/144.90 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 144.54/144.90 Found x20:=(x2 x51):(cP Xy)
% 144.54/144.90 Instantiate: Xy:=Xy1:fofType
% 144.54/144.90 Found (x2 x51) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x8:(cP x7))=> (x2 x51)) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x51)) as proof of ((cP x7)->(cP Xy1))
% 144.54/144.90 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 144.54/144.90 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x51))) as proof of (cP Xy1)
% 144.54/144.90 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x51))) as proof of (cP Xy1)
% 144.54/144.90 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x51))) as proof of (cP Xy1)
% 144.54/144.90 Found x40:=(x4 x30):(cP Xy0)
% 144.54/144.90 Instantiate: Xy0:=Xy1:fofType
% 144.54/144.90 Found (x4 x30) as proof of (cP Xy1)
% 144.54/144.90 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.02/145.37 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found x40:=(x4 x51):(cP Xy0)
% 145.02/145.37 Instantiate: Xy0:=Xy1:fofType
% 145.02/145.37 Found (x4 x51) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.02/145.37 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 145.02/145.37 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 145.02/145.37 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 145.02/145.37 Found x20:=(x2 x30):(cP Xy)
% 145.02/145.37 Instantiate: Xy:=Xy1:fofType
% 145.02/145.37 Found (x2 x30) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.02/145.37 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found x40:=(x4 x30):(cP Xy0)
% 145.02/145.37 Instantiate: Xy0:=Xy1:fofType
% 145.02/145.37 Found (x4 x30) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.02/145.37 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.02/145.37 Found x41:(cP Xy0)
% 145.02/145.37 Instantiate: Xy0:=Xy1:fofType
% 145.02/145.37 Found x41 as proof of (cP Xy1)
% 145.02/145.37 Found x21:(cP Xy)
% 145.02/145.37 Instantiate: Xy:=Xy1:fofType
% 145.02/145.37 Found x21 as proof of (cP Xy1)
% 145.02/145.37 Found x30:(cP x0)
% 145.02/145.37 Instantiate: Xy0:=x0:fofType
% 145.02/145.37 Found x30 as proof of (cP Xy0)
% 145.02/145.37 Found x50:(cP x0)
% 145.02/145.37 Instantiate: Xy:=x0:fofType
% 145.02/145.37 Found x50 as proof of (cP Xy)
% 145.02/145.37 Found x50:(cP x0)
% 145.02/145.37 Instantiate: Xy:=x0:fofType
% 145.02/145.37 Found x50 as proof of (cP Xy)
% 145.02/145.37 Found x30:(cP x0)
% 145.02/145.37 Instantiate: Xy0:=x0:fofType
% 145.02/145.37 Found x30 as proof of (cP Xy0)
% 145.02/145.37 Found x40:=(x4 x51):(cP Xy0)
% 145.02/145.37 Instantiate: Xy0:=Xy1:fofType
% 145.02/145.37 Found (x4 x51) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x8:(cP x7))=> (x4 x51)) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of ((cP x7)->(cP Xy1))
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x51)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.02/145.37 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 145.02/145.37 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 145.02/145.37 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x51))) as proof of (cP Xy1)
% 145.02/145.37 Found x20:=(x2 x30):(cP Xy)
% 145.02/145.37 Instantiate: Xy:=Xy1:fofType
% 145.02/145.37 Found (x2 x30) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 145.02/145.37 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.11/145.41 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x30):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x30) as proof of (cP Xy1)
% 145.11/145.41 Found (fun (x8:(cP x7))=> (x4 x30)) as proof of (cP Xy1)
% 145.11/145.41 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of ((cP x7)->(cP Xy1))
% 145.11/145.41 Found (fun (x7:fofType) (x8:(cP x7))=> (x4 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.11/145.41 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x4 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x30):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x30) as proof of (cP Xy1)
% 145.11/145.41 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy1)
% 145.11/145.41 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy1))
% 145.11/145.41 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 145.11/145.41 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x51):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x51) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x51) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x51):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x51) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x51) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x51):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x51) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x51) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x51):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x51) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x51) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x31):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x31) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x31) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x31):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x31) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x31) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x50):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x50) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x50) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x50):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x50) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x50) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x32):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x32) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x32) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x32):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x32) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x32) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x31):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x31) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x31) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x31):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x31) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x31) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x52):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x52) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x52) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x52):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x52) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x52) as proof of (cP Xy1)
% 145.11/145.41 Found x20:=(x2 x30):(cP Xy)
% 145.11/145.41 Instantiate: Xy:=Xy1:fofType
% 145.11/145.41 Found (x2 x30) as proof of (cP Xy1)
% 145.11/145.41 Found (x2 x30) as proof of (cP Xy1)
% 145.11/145.41 Found x40:=(x4 x30):(cP Xy0)
% 145.11/145.41 Instantiate: Xy0:=Xy1:fofType
% 145.11/145.41 Found (x4 x30) as proof of (cP Xy1)
% 145.11/145.41 Found (x4 x30) as proof of (cP Xy1)
% 145.11/145.41 Found x8:(cP x7)
% 145.11/145.41 Instantiate: Xy:=x7:fofType
% 145.11/145.41 Found x8 as proof of (cP Xy)
% 145.11/145.41 Found (x3 x8) as proof of (cP x0)
% 145.11/145.41 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 145.64/145.94 Found x8:(cP x7)
% 145.64/145.94 Instantiate: Xy0:=x7:fofType
% 145.64/145.94 Found x8 as proof of (cP Xy0)
% 145.64/145.94 Found (x5 x8) as proof of (cP x0)
% 145.64/145.94 Found (fun (x8:(cP x7))=> (x5 x8)) as proof of (cP x0)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x20:(cP Xy)
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x40:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x40:(cP Xy0)
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x40:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x20:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x20:(cP Xy)
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x40:(cP Xy0)
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x40 as proof of (cP Xy1)
% 145.64/145.94 Found x20:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x20 as proof of (cP Xy1)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x8:(cP x7)
% 145.64/145.94 Instantiate: Xy0:=x7:fofType
% 145.64/145.94 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 145.64/145.94 Found x8:(cP x7)
% 145.64/145.94 Instantiate: Xy:=x7:fofType
% 145.64/145.94 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x41:(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found x41 as proof of (cP Xy1)
% 145.64/145.94 Found x21:(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found x21 as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x50):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x50) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x50) as proof of (cP Xy1)
% 145.64/145.94 Found x40:=(x4 x31):(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found (x4 x31) as proof of (cP Xy1)
% 145.64/145.94 Found (x4 x31) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x31):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x31) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x31) as proof of (cP Xy1)
% 145.64/145.94 Found x40:=(x4 x31):(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found (x4 x31) as proof of (cP Xy1)
% 145.64/145.94 Found (x4 x31) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x31):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x31) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x31) as proof of (cP Xy1)
% 145.64/145.94 Found x40:=(x4 x50):(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found (x4 x50) as proof of (cP Xy1)
% 145.64/145.94 Found (x4 x50) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x30):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x30) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x30) as proof of (cP Xy1)
% 145.64/145.94 Found x40:=(x4 x30):(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found (x4 x30) as proof of (cP Xy1)
% 145.64/145.94 Found (x4 x30) as proof of (cP Xy1)
% 145.64/145.94 Found x40:=(x4 x51):(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found (x4 x51) as proof of (cP Xy1)
% 145.64/145.94 Found (x4 x51) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x51):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x51) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x51) as proof of (cP Xy1)
% 145.64/145.94 Found x40:=(x4 x52):(cP Xy0)
% 145.64/145.94 Instantiate: Xy0:=Xy1:fofType
% 145.64/145.94 Found (x4 x52) as proof of (cP Xy1)
% 145.64/145.94 Found (x4 x52) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x52):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x52) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x52) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x32):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x32) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x32) as proof of (cP Xy1)
% 145.64/145.94 Found x20:=(x2 x51):(cP Xy)
% 145.64/145.94 Instantiate: Xy:=Xy1:fofType
% 145.64/145.94 Found (x2 x51) as proof of (cP Xy1)
% 145.64/145.94 Found (x2 x51) as proof of (cP Xy1)
% 146.15/146.47 Found x40:=(x4 x32):(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found (x4 x32) as proof of (cP Xy1)
% 146.15/146.47 Found (x4 x32) as proof of (cP Xy1)
% 146.15/146.47 Found x40:=(x4 x51):(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found (x4 x51) as proof of (cP Xy1)
% 146.15/146.47 Found (x4 x51) as proof of (cP Xy1)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40:=(x4 x51):(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found (x4 x51) as proof of (cP Xy1)
% 146.15/146.47 Found (x4 x51) as proof of (cP Xy1)
% 146.15/146.47 Found x40:=(x4 x30):(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found (x4 x30) as proof of (cP Xy1)
% 146.15/146.47 Found (x4 x30) as proof of (cP Xy1)
% 146.15/146.47 Found x51:(cP x0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x51 as proof of (cP Xy0)
% 146.15/146.47 Found x31:(cP x0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x31 as proof of (cP Xy0)
% 146.15/146.47 Found x30:(cP x0)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x30 as proof of (cP Xy)
% 146.15/146.47 Found x31:(cP x0)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x31 as proof of (cP Xy)
% 146.15/146.47 Found x50:(cP x0)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x50 as proof of (cP Xy)
% 146.15/146.47 Found x30:(cP x0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x30 as proof of (cP Xy0)
% 146.15/146.47 Found x50:(cP x0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x50 as proof of (cP Xy0)
% 146.15/146.47 Found x51:(cP x0)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x51 as proof of (cP Xy)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x40 as proof of (cP x0)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x20 as proof of (cP x0)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x20 as proof of (cP x0)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x40 as proof of (cP x0)
% 146.15/146.47 Found x50:(cP x0)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x50 as proof of (cP Xy)
% 146.15/146.47 Found x21:(cP Xy)
% 146.15/146.47 Instantiate: Xy0:=Xy:fofType
% 146.15/146.47 Found x21 as proof of (cP Xy0)
% 146.15/146.47 Found x21:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x21 as proof of (cP x0)
% 146.15/146.47 Found x41:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x41 as proof of (cP x0)
% 146.15/146.47 Found x41:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x41 as proof of (cP x0)
% 146.15/146.47 Found x30:(cP x0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x30 as proof of (cP Xy0)
% 146.15/146.47 Found x30:(cP x0)
% 146.15/146.47 Found x30 as proof of (cP x0)
% 146.15/146.47 Found x50:(cP x0)
% 146.15/146.47 Instantiate: Xy0:=x0:fofType
% 146.15/146.47 Found x50 as proof of (cP Xy0)
% 146.15/146.47 Found x50:(cP x0)
% 146.15/146.47 Found x50 as proof of (cP x0)
% 146.15/146.47 Found x30:(cP x0)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x30 as proof of (cP Xy)
% 146.15/146.47 Found x21:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=x0:fofType
% 146.15/146.47 Found x21 as proof of (cP x0)
% 146.15/146.47 Found x41:(cP Xy0)
% 146.15/146.47 Instantiate: Xy:=Xy0:fofType
% 146.15/146.47 Found x41 as proof of (cP Xy)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy:=Xy0:fofType
% 146.15/146.47 Found x40 as proof of (cP Xy)
% 146.15/146.47 Found x41:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x41 as proof of (cP Xy1)
% 146.15/146.47 Found x21:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=Xy1:fofType
% 146.15/146.47 Found x21 as proof of (cP Xy1)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Instantiate: Xy0:=Xy:fofType
% 146.15/146.47 Found x20 as proof of (cP Xy0)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x41:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x41 as proof of (cP Xy1)
% 146.15/146.47 Found x41 as proof of (cP Xy1)
% 146.15/146.47 Found x41:(cP Xy0)
% 146.15/146.47 Found x41 as proof of (cP Xy1)
% 146.15/146.47 Found x41 as proof of (cP Xy1)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x21:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=Xy1:fofType
% 146.15/146.47 Found x21 as proof of (cP Xy1)
% 146.15/146.47 Found x21 as proof of (cP Xy1)
% 146.15/146.47 Found x21:(cP Xy)
% 146.15/146.47 Found x21 as proof of (cP Xy1)
% 146.15/146.47 Found x21 as proof of (cP Xy1)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=Xy1:fofType
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Instantiate: Xy:=Xy1:fofType
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20:(cP Xy)
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x20 as proof of (cP Xy1)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40:(cP Xy0)
% 146.15/146.47 Instantiate: Xy0:=Xy1:fofType
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.15/146.47 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x20:(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x40:(cP Xy0)
% 146.30/146.65 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x20:(cP Xy)
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x40:(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x20:(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x40:(cP Xy0)
% 146.30/146.65 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x40 as proof of (cP Xy1)
% 146.30/146.65 Found x20:(cP Xy)
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x20 as proof of (cP Xy1)
% 146.30/146.65 Found x41:(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found x41 as proof of (cP Xy1)
% 146.30/146.65 Found x21:(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found x21 as proof of (cP Xy1)
% 146.30/146.65 Found x50:(cP x0)
% 146.30/146.65 Instantiate: Xy:=x0:fofType
% 146.30/146.65 Found x50 as proof of (cP Xy)
% 146.30/146.65 Found x30:(cP x0)
% 146.30/146.65 Instantiate: Xy0:=x0:fofType
% 146.30/146.65 Found x30 as proof of (cP Xy0)
% 146.30/146.65 Found x50:(cP x0)
% 146.30/146.65 Instantiate: Xy:=x0:fofType
% 146.30/146.65 Found x50 as proof of (cP Xy)
% 146.30/146.65 Found x30:(cP x0)
% 146.30/146.65 Instantiate: Xy0:=x0:fofType
% 146.30/146.65 Found x30 as proof of (cP Xy0)
% 146.30/146.65 Found x20:=(x2 x51):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x51) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x51) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x51):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x51) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x51) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x30):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x30) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x30) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x30):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x30) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x30) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x32):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x32) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x32) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x32):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x32) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x32) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x50):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x50) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x50) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x50):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x50) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x50) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x52):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x52) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x52) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x52):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x52) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x52) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x31):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x31) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x31) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x31):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x31) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x31) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x51):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x51) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x51) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x31):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x31) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x31) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x51):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x51) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x51) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x31):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x31) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x31) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x31):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x31) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x31) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x31):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x31) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x31) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x52):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x52) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x52) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x32):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x32) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x32) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x52):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x52) as proof of (cP Xy1)
% 146.30/146.65 Found (x2 x52) as proof of (cP Xy1)
% 146.30/146.65 Found x40:=(x4 x51):(cP Xy0)
% 146.30/146.65 Instantiate: Xy0:=Xy1:fofType
% 146.30/146.65 Found (x4 x51) as proof of (cP Xy1)
% 146.30/146.65 Found (x4 x51) as proof of (cP Xy1)
% 146.30/146.65 Found x20:=(x2 x51):(cP Xy)
% 146.30/146.65 Instantiate: Xy:=Xy1:fofType
% 146.30/146.65 Found (x2 x51) as proof of (cP Xy1)
% 146.92/147.26 Found (x2 x51) as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x51):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x51) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x51) as proof of (cP Xy1)
% 146.92/147.26 Found x20:=(x2 x31):(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found (x2 x31) as proof of (cP Xy1)
% 146.92/147.26 Found (x2 x31) as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x31):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x31) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x31) as proof of (cP Xy1)
% 146.92/147.26 Found x20:=(x2 x50):(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found (x2 x50) as proof of (cP Xy1)
% 146.92/147.26 Found (x2 x50) as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x50):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x50) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x50) as proof of (cP Xy1)
% 146.92/147.26 Found x20:=(x2 x30):(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found (x2 x30) as proof of (cP Xy1)
% 146.92/147.26 Found (x2 x30) as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x30):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x30) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x30) as proof of (cP Xy1)
% 146.92/147.26 Found x20:=(x2 x51):(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found (x2 x51) as proof of (cP Xy1)
% 146.92/147.26 Found (x2 x51) as proof of (cP Xy1)
% 146.92/147.26 Found x20:=(x2 x32):(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found (x2 x32) as proof of (cP Xy1)
% 146.92/147.26 Found (x2 x32) as proof of (cP Xy1)
% 146.92/147.26 Found x40:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x41:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x41 as proof of (cP Xy1)
% 146.92/147.26 Found x41 as proof of (cP Xy1)
% 146.92/147.26 Found x40:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x30):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x30) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x30) as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x51):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x51) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x51) as proof of (cP Xy1)
% 146.92/147.26 Found x40:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x51):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x51) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x51) as proof of (cP Xy1)
% 146.92/147.26 Found x40:=(x4 x30):(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found (x4 x30) as proof of (cP Xy1)
% 146.92/147.26 Found (x4 x30) as proof of (cP Xy1)
% 146.92/147.26 Found x40:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x40 as proof of (cP Xy1)
% 146.92/147.26 Found x20:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy0:fofType
% 146.92/147.26 Found x20 as proof of (cP Xy0)
% 146.92/147.26 Found x20:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x20 as proof of (cP x0)
% 146.92/147.26 Found x31:(cP x0)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x31 as proof of (cP Xy)
% 146.92/147.26 Found x30:(cP x0)
% 146.92/147.26 Found x30 as proof of (cP x0)
% 146.92/147.26 Found (x2 x30) as proof of (cP Xy0)
% 146.92/147.26 Found (x2 x30) as proof of (cP Xy0)
% 146.92/147.26 Found (x2 x30) as proof of (cP Xy0)
% 146.92/147.26 Found x50:(cP x0)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x50 as proof of (cP Xy)
% 146.92/147.26 Found x50:(cP x0)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x50 as proof of (cP Xy)
% 146.92/147.26 Found x30:(cP x0)
% 146.92/147.26 Instantiate: Xy0:=x0:fofType
% 146.92/147.26 Found x30 as proof of (cP Xy0)
% 146.92/147.26 Found x30:(cP x0)
% 146.92/147.26 Instantiate: Xy0:=x0:fofType
% 146.92/147.26 Found x30 as proof of (cP Xy0)
% 146.92/147.26 Found x20:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x20 as proof of (cP x0)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x40:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=x0:fofType
% 146.92/147.26 Found x40 as proof of (cP x0)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x20:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x20 as proof of (cP x0)
% 146.92/147.26 Found x40:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=x0:fofType
% 146.92/147.26 Found x40 as proof of (cP x0)
% 146.92/147.26 Found x41:(cP Xy0)
% 146.92/147.26 Found x41 as proof of (cP Xy1)
% 146.92/147.26 Found x41:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x41 as proof of (cP Xy1)
% 146.92/147.26 Found x41:(cP Xy0)
% 146.92/147.26 Found x41 as proof of (cP Xy1)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=Xy1:fofType
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Found x21 as proof of (cP Xy1)
% 146.92/147.26 Found x41:(cP Xy0)
% 146.92/147.26 Instantiate: Xy0:=Xy1:fofType
% 146.92/147.26 Found x41 as proof of (cP Xy1)
% 146.92/147.26 Found x21:(cP Xy)
% 146.92/147.26 Instantiate: Xy:=x0:fofType
% 146.92/147.26 Found x21 as proof of (cP x0)
% 147.81/148.16 Found x31:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x31 as proof of (cP Xy0)
% 147.81/148.16 Found x41:(cP Xy0)
% 147.81/148.16 Found x41 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x21 as proof of (cP x0)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x40 as proof of (cP x0)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x40 as proof of (cP x0)
% 147.81/148.16 Found x31:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x31 as proof of (cP Xy)
% 147.81/148.16 Found x41:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=Xy1:fofType
% 147.81/148.16 Found x41 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy1:fofType
% 147.81/148.16 Found x21 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Found x21 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x21 as proof of (cP x0)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=Xy1:fofType
% 147.81/148.16 Found x40 as proof of (cP Xy1)
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy1:fofType
% 147.81/148.16 Found x20 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy1:fofType
% 147.81/148.16 Found x21 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy1:fofType
% 147.81/148.16 Found x21 as proof of (cP Xy1)
% 147.81/148.16 Found x41:(cP Xy0)
% 147.81/148.16 Found x41 as proof of (cP Xy1)
% 147.81/148.16 Found x41:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=Xy1:fofType
% 147.81/148.16 Found x41 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Found x21 as proof of (cP Xy1)
% 147.81/148.16 Found x41:(cP Xy0)
% 147.81/148.16 Found x41 as proof of (cP Xy1)
% 147.81/148.16 Found x41:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=Xy1:fofType
% 147.81/148.16 Found x41 as proof of (cP Xy1)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Found x40 as proof of (cP Xy1)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Found x40 as proof of (cP Xy1)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=Xy1:fofType
% 147.81/148.16 Found x40 as proof of (cP Xy1)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=Xy1:fofType
% 147.81/148.16 Found x40 as proof of (cP Xy1)
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy1:fofType
% 147.81/148.16 Found x20 as proof of (cP Xy1)
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Found x20 as proof of (cP Xy1)
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Found x20 as proof of (cP Xy1)
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy1:fofType
% 147.81/148.16 Found x20 as proof of (cP Xy1)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Found x21 as proof of (cP Xy1)
% 147.81/148.16 Found x20:=(x2 x30):(cP Xy)
% 147.81/148.16 Instantiate: Xy:=Xy0:fofType
% 147.81/148.16 Found (x2 x30) as proof of (cP Xy0)
% 147.81/148.16 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 147.81/148.16 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 147.81/148.16 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x20 as proof of (cP x0)
% 147.81/148.16 Found x20:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x20 as proof of (cP x0)
% 147.81/148.16 Found x30:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x30 as proof of (cP Xy)
% 147.81/148.16 Found x30:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x30 as proof of (cP Xy)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x40 as proof of (cP x0)
% 147.81/148.16 Found x40:(cP Xy0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x40 as proof of (cP x0)
% 147.81/148.16 Found x40:=(x4 x5):(cP x5)
% 147.81/148.16 Found (x4 x5) as proof of (cP x5)
% 147.81/148.16 Found (x4 x5) as proof of (cP x5)
% 147.81/148.16 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 147.81/148.16 Found x50:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x50 as proof of (cP Xy0)
% 147.81/148.16 Found x51:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x51 as proof of (cP Xy0)
% 147.81/148.16 Found x51:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x51 as proof of (cP Xy)
% 147.81/148.16 Found x51:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x51 as proof of (cP Xy0)
% 147.81/148.16 Found x30:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x30 as proof of (cP Xy0)
% 147.81/148.16 Found x30:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x30 as proof of (cP Xy0)
% 147.81/148.16 Found x31:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x31 as proof of (cP Xy0)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy0:=Xy:fofType
% 147.81/148.16 Found x21 as proof of (cP Xy0)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x21 as proof of (cP x0)
% 147.81/148.16 Found x21:(cP Xy)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x21 as proof of (cP x0)
% 147.81/148.16 Found x31:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x31 as proof of (cP Xy)
% 147.81/148.16 Found x51:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x51 as proof of (cP Xy)
% 147.81/148.16 Found x31:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x31 as proof of (cP Xy)
% 147.81/148.16 Found x30:(cP x0)
% 147.81/148.16 Instantiate: Xy:=x0:fofType
% 147.81/148.16 Found x30 as proof of (cP Xy)
% 147.81/148.16 Found x31:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 147.81/148.16 Found x31 as proof of (cP Xy0)
% 147.81/148.16 Found x50:(cP x0)
% 147.81/148.16 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x50 as proof of (cP Xy0)
% 148.61/148.93 Found x50:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x50 as proof of (cP Xy)
% 148.61/148.93 Found x50:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x50 as proof of (cP Xy)
% 148.61/148.93 Found x30:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x30 as proof of (cP Xy)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=Xy1:fofType
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=Xy1:fofType
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=Xy1:fofType
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x40 as proof of (cP Xy1)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=Xy1:fofType
% 148.61/148.93 Found x21 as proof of (cP Xy1)
% 148.61/148.93 Found x21 as proof of (cP Xy1)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Found x21 as proof of (cP Xy1)
% 148.61/148.93 Found x21 as proof of (cP Xy1)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=Xy1:fofType
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x20 as proof of (cP Xy1)
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Found x41 as proof of (cP Xy1)
% 148.61/148.93 Found x41 as proof of (cP Xy1)
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=Xy1:fofType
% 148.61/148.93 Found x41 as proof of (cP Xy1)
% 148.61/148.93 Found x41 as proof of (cP Xy1)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x40 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy0:=Xy:fofType
% 148.61/148.93 Found x21 as proof of (cP Xy0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x40 as proof of (cP x0)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x20 as proof of (cP x0)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x20 as proof of (cP x0)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x40 as proof of (cP x0)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x20 as proof of (cP x0)
% 148.61/148.93 Found x20:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x20 as proof of (cP x0)
% 148.61/148.93 Found x40:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x40 as proof of (cP x0)
% 148.61/148.93 Found x30:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x30 as proof of (cP Xy)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x22:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=Xy0:fofType
% 148.61/148.93 Found (fun (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (cP Xy0)
% 148.61/148.93 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 148.61/148.93 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x22) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Instantiate: Xy:=Xy0:fofType
% 148.61/148.93 Found x41 as proof of (cP Xy)
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x41 as proof of (cP x0)
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x41 as proof of (cP x0)
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Instantiate: Xy:=Xy0:fofType
% 148.61/148.93 Found x41 as proof of (cP Xy)
% 148.61/148.93 Found x30:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x30 as proof of (cP Xy)
% 148.61/148.93 Found x30:(cP x0)
% 148.61/148.93 Found x30 as proof of (cP x0)
% 148.61/148.93 Found x50:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x50 as proof of (cP Xy)
% 148.61/148.93 Found x41:(cP Xy0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x41 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x50:(cP x0)
% 148.61/148.93 Found x50 as proof of (cP x0)
% 148.61/148.93 Found x30:(cP x0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x30 as proof of (cP Xy0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 148.61/148.93 Found x21 as proof of (cP x0)
% 148.61/148.93 Found x21:(cP Xy)
% 148.61/148.93 Instantiate: Xy0:=Xy:fofType
% 148.61/148.93 Found x21 as proof of (cP Xy0)
% 148.61/148.93 Found x50:(cP x0)
% 148.61/148.93 Found x50 as proof of (cP x0)
% 148.61/148.93 Found x30:(cP x0)
% 148.61/148.93 Instantiate: Xy0:=x0:fofType
% 148.61/148.93 Found x30 as proof of (cP Xy0)
% 148.61/148.93 Found x50:(cP x0)
% 148.61/148.93 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x50 as proof of (cP Xy)
% 149.32/149.61 Found x21:(cP Xy)
% 149.32/149.61 Instantiate: Xy0:=Xy:fofType
% 149.32/149.61 Found x21 as proof of (cP Xy0)
% 149.32/149.61 Found x41:(cP Xy0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x41 as proof of (cP x0)
% 149.32/149.61 Found x50:(cP x0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x50 as proof of (cP Xy0)
% 149.32/149.61 Found x30:(cP x0)
% 149.32/149.61 Found x30 as proof of (cP x0)
% 149.32/149.61 Found x50:(cP x0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x50 as proof of (cP Xy0)
% 149.32/149.61 Found x23:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=Xy0:fofType
% 149.32/149.61 Found x23 as proof of (cP Xy0)
% 149.32/149.61 Found x20:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x20 as proof of (cP x0)
% 149.32/149.61 Found x22:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x22 as proof of (cP x0)
% 149.32/149.61 Found x20:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x20 as proof of (cP x0)
% 149.32/149.61 Found x30:(cP x0)
% 149.32/149.61 Found x30 as proof of (cP x0)
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found x20:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=Xy0:fofType
% 149.32/149.61 Found x20 as proof of (cP Xy0)
% 149.32/149.61 Found x20:=(x2 x30):(cP Xy)
% 149.32/149.61 Instantiate: Xy:=Xy0:fofType
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found x51:(cP x0)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x51 as proof of (cP Xy)
% 149.32/149.61 Found x30:(cP x0)
% 149.32/149.61 Found x30 as proof of (cP x0)
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found x51:(cP x0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x51 as proof of (cP Xy0)
% 149.32/149.61 Found x30:(cP x0)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x30 as proof of (cP Xy)
% 149.32/149.61 Found x22:(cP Xy)
% 149.32/149.61 Found x22 as proof of (cP Xy0)
% 149.32/149.61 Found x30:(cP x0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x30 as proof of (cP Xy0)
% 149.32/149.61 Found x50:(cP x0)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x50 as proof of (cP Xy)
% 149.32/149.61 Found x31:(cP x0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x31 as proof of (cP Xy0)
% 149.32/149.61 Found x21:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=Xy0:fofType
% 149.32/149.61 Found x21 as proof of (cP Xy0)
% 149.32/149.61 Found x50:(cP x0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x50 as proof of (cP Xy0)
% 149.32/149.61 Found x31:(cP x0)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x31 as proof of (cP Xy)
% 149.32/149.61 Found x20:(cP Xy)
% 149.32/149.61 Instantiate: Xy:=x0:fofType
% 149.32/149.61 Found x20 as proof of (cP x0)
% 149.32/149.61 Found x30:(cP Xy0)
% 149.32/149.61 Instantiate: Xy0:=Xy:fofType
% 149.32/149.61 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (cP Xy)
% 149.32/149.61 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 149.32/149.61 Found x20:=(x2 x30):(cP Xy)
% 149.32/149.61 Instantiate: Xy:=Xy0:fofType
% 149.32/149.61 Found (x2 x30) as proof of (cP Xy0)
% 149.32/149.61 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 149.32/149.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 149.32/149.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 149.32/149.61 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found x50:=(x5 x30):(cP Xy1)
% 149.32/149.61 Instantiate: Xy1:=Xy0:fofType
% 149.32/149.61 Found (x5 x30) as proof of (cP Xy0)
% 149.32/149.61 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 149.32/149.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 149.32/149.61 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 149.32/149.61 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 149.32/149.61 Found x40:(cP Xy0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.32/149.61 Found x40 as proof of (cP x0)
% 149.32/149.61 Found x40:(cP Xy0)
% 149.32/149.61 Instantiate: Xy0:=x0:fofType
% 149.90/150.19 Found x40 as proof of (cP x0)
% 149.90/150.19 Found x20:(cP Xy)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x20 as proof of (cP x0)
% 149.90/150.19 Found x21:(cP Xy)
% 149.90/150.19 Instantiate: Xy0:=Xy:fofType
% 149.90/150.19 Found x21 as proof of (cP Xy0)
% 149.90/150.19 Found x30:(cP x0)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x30 as proof of (cP Xy)
% 149.90/150.19 Found x21:(cP Xy)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x21 as proof of (cP x0)
% 149.90/150.19 Found x20:(cP Xy)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x20 as proof of (cP x0)
% 149.90/150.19 Found x30:(cP x0)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x30 as proof of (cP Xy)
% 149.90/150.19 Found x20:(cP Xy)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x20 as proof of (cP x0)
% 149.90/150.19 Found x41:(cP Xy0)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found x41 as proof of (cP Xy)
% 149.90/150.19 Found x22:(cP Xy)
% 149.90/150.19 Found x22 as proof of (cP Xy0)
% 149.90/150.19 Found x30:(cP x0)
% 149.90/150.19 Instantiate: Xy0:=x0:fofType
% 149.90/150.19 Found x30 as proof of (cP Xy0)
% 149.90/150.19 Found x50:(cP x0)
% 149.90/150.19 Found x50 as proof of (cP x0)
% 149.90/150.19 Found x50:(cP x0)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x50 as proof of (cP Xy)
% 149.90/150.19 Found x30:(cP x0)
% 149.90/150.19 Found x30 as proof of (cP x0)
% 149.90/150.19 Found x50:(cP x0)
% 149.90/150.19 Instantiate: Xy0:=x0:fofType
% 149.90/150.19 Found x50 as proof of (cP Xy0)
% 149.90/150.19 Found x41:(cP Xy0)
% 149.90/150.19 Instantiate: Xy0:=x0:fofType
% 149.90/150.19 Found x41 as proof of (cP x0)
% 149.90/150.19 Found x41:(cP Xy0)
% 149.90/150.19 Instantiate: Xy0:=x0:fofType
% 149.90/150.19 Found x41 as proof of (cP x0)
% 149.90/150.19 Found x21:(cP Xy)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x21 as proof of (cP x0)
% 149.90/150.19 Found x30:(cP x0)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x30 as proof of (cP Xy)
% 149.90/150.19 Found x40:=(x4 x5):(cP x5)
% 149.90/150.19 Found (x4 x5) as proof of (cP x5)
% 149.90/150.19 Found (x4 x5) as proof of (cP x5)
% 149.90/150.19 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 149.90/150.19 Found x21:(cP Xy)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x21 as proof of (cP x0)
% 149.90/150.19 Found x8:(cP x7)
% 149.90/150.19 Instantiate: Xy0:=x7:fofType
% 149.90/150.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 149.90/150.19 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy0))
% 149.90/150.19 Found x8:(cP x7)
% 149.90/150.19 Instantiate: Xy:=x7:fofType
% 149.90/150.19 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 149.90/150.19 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 149.90/150.19 Found x31:(cP x0)
% 149.90/150.19 Instantiate: Xy:=x0:fofType
% 149.90/150.19 Found x31 as proof of (cP Xy)
% 149.90/150.19 Found x20:=(x2 x30):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found (x2 x30) as proof of (cP Xy0)
% 149.90/150.19 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 149.90/150.19 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 149.90/150.19 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 149.90/150.19 Found x50:=(x5 x61):(cP Xy1)
% 149.90/150.19 Instantiate: Xy1:=Xy0:fofType
% 149.90/150.19 Found (x5 x61) as proof of (cP Xy0)
% 149.90/150.19 Found (x5 x61) as proof of (cP Xy0)
% 149.90/150.19 Found x20:=(x2 x61):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found (x2 x61) as proof of (cP Xy0)
% 149.90/150.19 Found (x2 x61) as proof of (cP Xy0)
% 149.90/150.19 Found x50:=(x5 x32):(cP Xy1)
% 149.90/150.19 Instantiate: Xy1:=Xy0:fofType
% 149.90/150.19 Found (x5 x32) as proof of (cP Xy0)
% 149.90/150.19 Found (x5 x32) as proof of (cP Xy0)
% 149.90/150.19 Found x20:=(x2 x32):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found (x2 x32) as proof of (cP Xy0)
% 149.90/150.19 Found (x2 x32) as proof of (cP Xy0)
% 149.90/150.19 Found x50:=(x5 x31):(cP Xy1)
% 149.90/150.19 Instantiate: Xy1:=Xy0:fofType
% 149.90/150.19 Found (x5 x31) as proof of (cP Xy0)
% 149.90/150.19 Found (x5 x31) as proof of (cP Xy0)
% 149.90/150.19 Found x20:=(x2 x31):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found (x2 x31) as proof of (cP Xy0)
% 149.90/150.19 Found (x2 x31) as proof of (cP Xy0)
% 149.90/150.19 Found x40:(cP Xy0)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found x40 as proof of (cP Xy)
% 149.90/150.19 Found x20:=(x2 x60):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy0:fofType
% 149.90/150.19 Found (x2 x60) as proof of (cP Xy0)
% 149.90/150.19 Found (x2 x60) as proof of (cP Xy0)
% 149.90/150.19 Found x50:=(x5 x60):(cP Xy1)
% 149.90/150.19 Instantiate: Xy1:=Xy0:fofType
% 149.90/150.19 Found (x5 x60) as proof of (cP Xy0)
% 149.90/150.19 Found (x5 x60) as proof of (cP Xy0)
% 149.90/150.19 Found x40:=(x4 x30):(cP Xy0)
% 149.90/150.19 Instantiate: Xy0:=Xy1:fofType
% 149.90/150.19 Found (x4 x30) as proof of (cP Xy1)
% 149.90/150.19 Found x20:=(x2 x30):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy1:fofType
% 149.90/150.19 Found (x2 x30) as proof of (cP Xy1)
% 149.90/150.19 Found x40:=(x4 x31):(cP Xy0)
% 149.90/150.19 Instantiate: Xy0:=Xy1:fofType
% 149.90/150.19 Found (x4 x31) as proof of (cP Xy1)
% 149.90/150.19 Found x20:=(x2 x31):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy1:fofType
% 149.90/150.19 Found (x2 x31) as proof of (cP Xy1)
% 149.90/150.19 Found x40:=(x4 x31):(cP Xy0)
% 149.90/150.19 Instantiate: Xy0:=Xy1:fofType
% 149.90/150.19 Found (x4 x31) as proof of (cP Xy1)
% 149.90/150.19 Found x20:=(x2 x31):(cP Xy)
% 149.90/150.19 Instantiate: Xy:=Xy1:fofType
% 149.90/150.19 Found (x2 x31) as proof of (cP Xy1)
% 149.90/150.19 Found x40:=(x4 x51):(cP Xy0)
% 149.90/150.19 Instantiate: Xy0:=Xy1:fofType
% 149.90/150.19 Found (x4 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x51):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x51):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x51):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x50):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x50) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x50):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x50) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x52):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x52) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x52):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x52) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x32):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x32) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x32):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x32) as proof of (cP Xy1)
% 150.25/150.53 Found x20:(cP Xy)
% 150.25/150.53 Instantiate: Xy0:=Xy:fofType
% 150.25/150.53 Found x20 as proof of (cP Xy0)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x20:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy0:fofType
% 150.25/150.53 Found x20 as proof of (cP Xy0)
% 150.25/150.53 Found x41:(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found x41 as proof of (cP Xy1)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x41:(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found x41 as proof of (cP Xy1)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x41:(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found x41 as proof of (cP Xy1)
% 150.25/150.53 Found x41:(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found x41 as proof of (cP Xy1)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x21:(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found x21 as proof of (cP Xy1)
% 150.25/150.53 Found x41:(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found x41 as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x31):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x31) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x31) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x31):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x31) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x31) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x50):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x50) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x50) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x50):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x50) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x50) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x32):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x32) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x32) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x32):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x32) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x32) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x30):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x30) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x30) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x30):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x30) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x30) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x31):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x31) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x31) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x31):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x31) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x31) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x52):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x52) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x52) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x51):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x51) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x52):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x52) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x52) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x51):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x51) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x40:=(x4 x51):(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found (x4 x51) as proof of (cP Xy1)
% 150.25/150.53 Found (x4 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x20:=(x2 x51):(cP Xy)
% 150.25/150.53 Instantiate: Xy:=Xy1:fofType
% 150.25/150.53 Found (x2 x51) as proof of (cP Xy1)
% 150.25/150.53 Found (x2 x51) as proof of (cP Xy1)
% 150.25/150.53 Found x41:(cP Xy0)
% 150.25/150.53 Instantiate: Xy0:=Xy1:fofType
% 150.25/150.53 Found x41 as proof of (cP Xy1)
% 151.49/151.79 Found x30:(cP x0)
% 151.49/151.79 Found x30 as proof of (cP x0)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy0)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy0)
% 151.49/151.79 Found x21:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=Xy1:fofType
% 151.49/151.79 Found x21 as proof of (cP Xy1)
% 151.49/151.79 Found x41:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x41 as proof of (cP Xy1)
% 151.49/151.79 Found x41:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x41 as proof of (cP Xy1)
% 151.49/151.79 Found x21:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=Xy1:fofType
% 151.49/151.79 Found x21 as proof of (cP Xy1)
% 151.49/151.79 Found x40:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x40 as proof of (cP Xy1)
% 151.49/151.79 Found x40:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x40 as proof of (cP Xy1)
% 151.49/151.79 Found x40:=(x4 x51):(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found (x4 x51) as proof of (cP Xy1)
% 151.49/151.79 Found x40:=(x4 x30):(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found (x4 x30) as proof of (cP Xy1)
% 151.49/151.79 Found x6:(cP x5)
% 151.49/151.79 Instantiate: Xy:=x5:fofType
% 151.49/151.79 Found x6 as proof of (cP Xy)
% 151.49/151.79 Found (x3 x6) as proof of (cP x0)
% 151.49/151.79 Found (x3 x6) as proof of (cP x0)
% 151.49/151.79 Found x20:=(x2 x30):(cP Xy)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy0)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy0)
% 151.49/151.79 Found x8:(cP x7)
% 151.49/151.79 Instantiate: Xy:=x7:fofType
% 151.49/151.79 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 151.49/151.79 Found x8:(cP x7)
% 151.49/151.79 Instantiate: Xy:=x7:fofType
% 151.49/151.79 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 151.49/151.79 Found x30:(cP x0)
% 151.49/151.79 Found x30 as proof of (cP x0)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy0)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy0)
% 151.49/151.79 Found x8:(cP x7)
% 151.49/151.79 Instantiate: Xy1:=x7:fofType
% 151.49/151.79 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 151.49/151.79 Found x8:(cP x7)
% 151.49/151.79 Instantiate: Xy1:=x7:fofType
% 151.49/151.79 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 151.49/151.79 Found x40:=(x4 x30):(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found (x4 x30) as proof of (cP Xy1)
% 151.49/151.79 Found (x4 x30) as proof of (cP Xy1)
% 151.49/151.79 Found x40:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x40 as proof of (cP Xy1)
% 151.49/151.79 Found x40 as proof of (cP Xy1)
% 151.49/151.79 Found x41:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x41 as proof of (cP Xy1)
% 151.49/151.79 Found x41 as proof of (cP Xy1)
% 151.49/151.79 Found x40:=(x4 x51):(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found (x4 x51) as proof of (cP Xy1)
% 151.49/151.79 Found (x4 x51) as proof of (cP Xy1)
% 151.49/151.79 Found x21:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=Xy1:fofType
% 151.49/151.79 Found x21 as proof of (cP Xy1)
% 151.49/151.79 Found x21 as proof of (cP Xy1)
% 151.49/151.79 Found x40:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy1:fofType
% 151.49/151.79 Found x40 as proof of (cP Xy1)
% 151.49/151.79 Found x40 as proof of (cP Xy1)
% 151.49/151.79 Found x30:(cP Xy0)
% 151.49/151.79 Instantiate: Xy0:=Xy:fofType
% 151.49/151.79 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (cP Xy)
% 151.49/151.79 Found (fun (x4:((cP Xy0)->(cP x0)))=> x30) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 151.49/151.79 Found x30:(cP x0)
% 151.49/151.79 Found x30 as proof of (cP x0)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy1)
% 151.49/151.79 Found (x2 x30) as proof of (cP Xy1)
% 151.49/151.79 Found x30:(cP x0)
% 151.49/151.79 Found x30 as proof of (cP x0)
% 151.49/151.79 Found (x4 x30) as proof of (cP Xy1)
% 151.49/151.79 Found (x4 x30) as proof of (cP Xy1)
% 151.49/151.79 Found x21:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=Xy1:fofType
% 151.49/151.79 Found x21 as proof of (cP Xy1)
% 151.49/151.79 Found x20:(cP Xy)
% 151.49/151.79 Found x20 as proof of (cP Xy0)
% 151.49/151.79 Found x30:(cP x0)
% 151.49/151.79 Instantiate: Xy:=x0:fofType
% 151.49/151.79 Found x30 as proof of (cP Xy)
% 151.49/151.79 Found x30:(cP x0)
% 151.49/151.79 Instantiate: Xy:=x0:fofType
% 151.49/151.79 Found x30 as proof of (cP Xy)
% 151.49/151.79 Found x20:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=x0:fofType
% 151.49/151.79 Found x20 as proof of (cP x0)
% 151.49/151.79 Found x20:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=x0:fofType
% 151.49/151.79 Found x20 as proof of (cP x0)
% 151.49/151.79 Found x40:=(x4 x5):(cP x5)
% 151.49/151.79 Found (x4 x5) as proof of (cP x5)
% 151.49/151.79 Found (x4 x5) as proof of (cP x5)
% 151.49/151.79 Found (ex_intro000 (x4 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 151.49/151.79 Found x22:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=Xy0:fofType
% 151.49/151.79 Found x22 as proof of (cP Xy0)
% 151.49/151.79 Found x6:(cP x5)
% 151.49/151.79 Instantiate: Xy:=x5:fofType
% 151.49/151.79 Found x6 as proof of (cP Xy)
% 151.49/151.79 Found (x3 x6) as proof of (cP x0)
% 151.49/151.79 Found (x3 x6) as proof of (cP x0)
% 151.49/151.79 Found x22:(cP Xy)
% 151.49/151.79 Instantiate: Xy:=Xy0:fofType
% 151.49/151.79 Found x22 as proof of (cP Xy0)
% 151.49/151.79 Found x6:(cP x5)
% 151.49/151.79 Instantiate: Xy:=x5:fofType
% 151.49/151.79 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 151.49/151.79 Found x3:((cP Xy)->(cP x0))
% 151.49/151.79 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 151.49/151.79 Found x3 as proof of ((cP x7)->(cP Xy0))
% 151.49/151.79 Found x3 as proof of ((cP x7)->(cP Xy0))
% 151.49/151.79 Found x6:((cP Xy0)->(cP x0))
% 151.49/151.79 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 151.49/151.79 Found x6 as proof of ((cP x7)->(cP Xy))
% 151.49/151.79 Found x6 as proof of ((cP x7)->(cP Xy))
% 151.49/151.79 Found x6:((cP Xy0)->(cP x0))
% 151.49/151.79 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 151.49/151.79 Found x6 as proof of ((cP x7)->(cP Xy))
% 152.42/152.71 Found x6 as proof of ((cP x7)->(cP Xy))
% 152.42/152.71 Found x3:((cP Xy)->(cP x0))
% 152.42/152.71 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 152.42/152.71 Found x3 as proof of ((cP x7)->(cP Xy0))
% 152.42/152.71 Found x3 as proof of ((cP x7)->(cP Xy0))
% 152.42/152.71 Found x30:(cP x0)
% 152.42/152.71 Found x30 as proof of (cP x0)
% 152.42/152.71 Found (x2 x30) as proof of (cP Xy0)
% 152.42/152.71 Found (x2 x30) as proof of (cP Xy0)
% 152.42/152.71 Found x20:=(x2 x30):(cP Xy)
% 152.42/152.71 Found (x2 x30) as proof of (cP Xy0)
% 152.42/152.71 Found (x2 x30) as proof of (cP Xy0)
% 152.42/152.71 Found x8:(cP x7)
% 152.42/152.71 Instantiate: Xy:=x7:fofType
% 152.42/152.71 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 152.42/152.71 Found (fun (x8:(cP x7))=> x8) as proof of ((cP x7)->(cP Xy))
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x50:(cP x0)
% 152.42/152.71 Instantiate: Xy0:=x0:fofType
% 152.42/152.71 Found x50 as proof of (cP Xy0)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x21 as proof of (cP x0)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x21 as proof of (cP x0)
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy)
% 152.42/152.71 Found x50:(cP x0)
% 152.42/152.71 Instantiate: Xy0:=x0:fofType
% 152.42/152.71 Found x50 as proof of (cP Xy0)
% 152.42/152.71 Found x50:(cP x0)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x50 as proof of (cP Xy)
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy)
% 152.42/152.71 Found x50:(cP x0)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x50 as proof of (cP Xy)
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy0:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy0)
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy0:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy0)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x40:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x40:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy)
% 152.42/152.71 Found x31:(cP x0)
% 152.42/152.71 Instantiate: Xy0:=x0:fofType
% 152.42/152.71 Found x31 as proof of (cP Xy0)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x30:(cP x0)
% 152.42/152.71 Found x30 as proof of (cP x0)
% 152.42/152.71 Found (x2 x30) as proof of (cP Xy0)
% 152.42/152.71 Found (x2 x30) as proof of (cP Xy0)
% 152.42/152.71 Found x40:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x22:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy0:fofType
% 152.42/152.71 Found x22 as proof of (cP Xy0)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x21:(cP Xy)
% 152.42/152.71 Found x21 as proof of (cP Xy1)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x40:(cP Xy0)
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x40:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x20:(cP Xy)
% 152.42/152.71 Instantiate: Xy:=Xy1:fofType
% 152.42/152.71 Found x20 as proof of (cP Xy1)
% 152.42/152.71 Found x40:(cP Xy0)
% 152.42/152.71 Found x40 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 152.42/152.71 Found x41:(cP Xy0)
% 152.42/152.71 Instantiate: Xy0:=Xy1:fofType
% 152.42/152.71 Found x41 as proof of (cP Xy1)
% 153.11/153.44 Found x40:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=Xy1:fofType
% 153.11/153.44 Found x40 as proof of (cP Xy1)
% 153.11/153.44 Found x20:=(x2 x30):(cP Xy)
% 153.11/153.44 Found (x2 x30) as proof of (cP Xy0)
% 153.11/153.44 Found (x2 x30) as proof of (cP Xy0)
% 153.11/153.44 Found (x2 x30) as proof of (cP Xy0)
% 153.11/153.44 Found x40:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x40 as proof of (cP x0)
% 153.11/153.44 Found x40:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x40 as proof of (cP x0)
% 153.11/153.44 Found x40:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x40 as proof of (cP x0)
% 153.11/153.44 Found x40:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x40 as proof of (cP x0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy0:=Xy:fofType
% 153.11/153.44 Found x21 as proof of (cP Xy0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x21 as proof of (cP x0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x21 as proof of (cP x0)
% 153.11/153.44 Found x20:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x20 as proof of (cP x0)
% 153.11/153.44 Found x50:(cP x0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x50 as proof of (cP Xy0)
% 153.11/153.44 Found x20:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x20 as proof of (cP x0)
% 153.11/153.44 Found x20:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x20 as proof of (cP x0)
% 153.11/153.44 Found x50:(cP x0)
% 153.11/153.44 Found x50 as proof of (cP x0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy0:=Xy:fofType
% 153.11/153.44 Found x21 as proof of (cP Xy0)
% 153.11/153.44 Found x50:(cP x0)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x50 as proof of (cP Xy)
% 153.11/153.44 Found x50:(cP x0)
% 153.11/153.44 Found x50 as proof of (cP x0)
% 153.11/153.44 Found x50:(cP x0)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x50 as proof of (cP Xy)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy0:=Xy:fofType
% 153.11/153.44 Found x21 as proof of (cP Xy0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x21 as proof of (cP x0)
% 153.11/153.44 Found x20:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x20 as proof of (cP x0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x21 as proof of (cP x0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x21 as proof of (cP x0)
% 153.11/153.44 Found x6:(cP x5)
% 153.11/153.44 Instantiate: Xy:=x5:fofType
% 153.11/153.44 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 153.11/153.44 Found x50:(cP x0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x50 as proof of (cP Xy0)
% 153.11/153.44 Found x21:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x21 as proof of (cP x0)
% 153.11/153.44 Found x20:=(x2 x30):(cP Xy)
% 153.11/153.44 Found (x2 x30) as proof of (cP Xy0)
% 153.11/153.44 Found (x2 x30) as proof of (cP Xy0)
% 153.11/153.44 Found x20:(cP Xy)
% 153.11/153.44 Instantiate: Xy:=Xy0:fofType
% 153.11/153.44 Found x20 as proof of (cP Xy0)
% 153.11/153.44 Found x50:=(x5 x30):(cP Xy1)
% 153.11/153.44 Instantiate: Xy1:=Xy0:fofType
% 153.11/153.44 Found (x5 x30) as proof of (cP Xy0)
% 153.11/153.44 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 153.11/153.44 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 153.11/153.44 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 153.11/153.44 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 153.11/153.44 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 153.11/153.44 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 153.11/153.44 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (cP Xy0)
% 153.11/153.44 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 153.11/153.44 Found x30:(cP x0)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x30 as proof of (cP Xy)
% 153.11/153.44 Found x41:(cP Xy0)
% 153.11/153.44 Instantiate: Xy:=Xy0:fofType
% 153.11/153.44 Found x41 as proof of (cP Xy)
% 153.11/153.44 Found x30:(cP x0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x30 as proof of (cP Xy0)
% 153.11/153.44 Found x30:(cP x0)
% 153.11/153.44 Instantiate: Xy:=x0:fofType
% 153.11/153.44 Found x30 as proof of (cP Xy)
% 153.11/153.44 Found x41:(cP Xy0)
% 153.11/153.44 Instantiate: Xy:=Xy0:fofType
% 153.11/153.44 Found x41 as proof of (cP Xy)
% 153.11/153.44 Found x30:(cP x0)
% 153.11/153.44 Found x30 as proof of (cP x0)
% 153.11/153.44 Found x6:(cP x5)
% 153.11/153.44 Instantiate: Xy:=x5:fofType
% 153.11/153.44 Found x6 as proof of (cP Xy)
% 153.11/153.44 Found (x3 x6) as proof of (cP x0)
% 153.11/153.44 Found (x3 x6) as proof of (cP x0)
% 153.11/153.44 Found x41:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.11/153.44 Found x41 as proof of (cP x0)
% 153.11/153.44 Found x41:(cP Xy0)
% 153.11/153.44 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x41 as proof of (cP x0)
% 153.63/153.98 Found x30:(cP x0)
% 153.63/153.98 Found x30 as proof of (cP x0)
% 153.63/153.98 Found x20:(cP Xy)
% 153.63/153.98 Instantiate: Xy:=Xy1:fofType
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x41:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x41 as proof of (cP x0)
% 153.63/153.98 Found x41:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x41 as proof of (cP x0)
% 153.63/153.98 Found x40:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=Xy1:fofType
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x41:(cP Xy0)
% 153.63/153.98 Found x41 as proof of (cP Xy1)
% 153.63/153.98 Found x41 as proof of (cP Xy1)
% 153.63/153.98 Found x41:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=Xy1:fofType
% 153.63/153.98 Found x41 as proof of (cP Xy1)
% 153.63/153.98 Found x41 as proof of (cP Xy1)
% 153.63/153.98 Found x20:(cP Xy)
% 153.63/153.98 Instantiate: Xy:=Xy1:fofType
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x40:(cP Xy0)
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x20:(cP Xy)
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x20:(cP Xy)
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x20 as proof of (cP Xy1)
% 153.63/153.98 Found x21:(cP Xy)
% 153.63/153.98 Found x21 as proof of (cP Xy1)
% 153.63/153.98 Found x21 as proof of (cP Xy1)
% 153.63/153.98 Found x40:(cP Xy0)
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x21:(cP Xy)
% 153.63/153.98 Instantiate: Xy:=Xy1:fofType
% 153.63/153.98 Found x21 as proof of (cP Xy1)
% 153.63/153.98 Found x21 as proof of (cP Xy1)
% 153.63/153.98 Found x40:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=Xy1:fofType
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x40 as proof of (cP Xy1)
% 153.63/153.98 Found x30:(cP x0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x30 as proof of (cP Xy0)
% 153.63/153.98 Found x30:(cP x0)
% 153.63/153.98 Found x30 as proof of (cP x0)
% 153.63/153.98 Found (x2 x30) as proof of (cP Xy0)
% 153.63/153.98 Found (x2 x30) as proof of (cP Xy0)
% 153.63/153.98 Found x31:(cP x0)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x31 as proof of (cP Xy)
% 153.63/153.98 Found x20:(cP Xy)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x20 as proof of (cP x0)
% 153.63/153.98 Found x40:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x40 as proof of (cP x0)
% 153.63/153.98 Found x20:(cP Xy)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x20 as proof of (cP x0)
% 153.63/153.98 Found x40:(cP Xy0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x40 as proof of (cP x0)
% 153.63/153.98 Found x50:(cP x0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x50 as proof of (cP Xy0)
% 153.63/153.98 Found x31:(cP x0)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x31 as proof of (cP Xy)
% 153.63/153.98 Found x51:(cP x0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x51 as proof of (cP Xy0)
% 153.63/153.98 Found x31:(cP x0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x31 as proof of (cP Xy0)
% 153.63/153.98 Found x50:(cP x0)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x50 as proof of (cP Xy)
% 153.63/153.98 Found x51:(cP x0)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x51 as proof of (cP Xy)
% 153.63/153.98 Found x30:(cP x0)
% 153.63/153.98 Instantiate: Xy:=x0:fofType
% 153.63/153.98 Found x30 as proof of (cP Xy)
% 153.63/153.98 Found x30:(cP x0)
% 153.63/153.98 Instantiate: Xy0:=x0:fofType
% 153.63/153.98 Found x30 as proof of (cP Xy0)
% 153.63/153.98 Found x20:=(x2 x30):(cP Xy)
% 153.63/153.98 Instantiate: Xy:=Xy0:fofType
% 153.63/153.98 Found (x2 x30) as proof of (cP Xy0)
% 153.63/153.98 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 153.63/153.98 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 153.63/153.98 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 153.63/153.98 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 153.63/153.98 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 153.63/153.98 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 153.63/153.98 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 153.63/153.98 Found x50:=(x5 x30):(cP Xy1)
% 153.63/153.98 Instantiate: Xy1:=Xy0:fofType
% 153.63/153.98 Found (x5 x30) as proof of (cP Xy0)
% 153.63/153.98 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 153.63/153.98 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 153.63/153.98 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 153.63/153.98 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 153.63/153.98 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 153.63/153.98 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 154.33/154.66 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 154.33/154.66 Found x40:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x40 as proof of (cP x0)
% 154.33/154.66 Found x40:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x40 as proof of (cP x0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x21 as proof of (cP x0)
% 154.33/154.66 Found x50:=(x5 x32):(cP Xy1)
% 154.33/154.66 Instantiate: Xy1:=Xy0:fofType
% 154.33/154.66 Found (x5 x32) as proof of (cP Xy0)
% 154.33/154.66 Found (x5 x32) as proof of (cP Xy0)
% 154.33/154.66 Found x20:=(x2 x32):(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found (x2 x32) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x32) as proof of (cP Xy0)
% 154.33/154.66 Found x50:=(x5 x60):(cP Xy1)
% 154.33/154.66 Instantiate: Xy1:=Xy0:fofType
% 154.33/154.66 Found (x5 x60) as proof of (cP Xy0)
% 154.33/154.66 Found (x5 x60) as proof of (cP Xy0)
% 154.33/154.66 Found x20:=(x2 x60):(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found (x2 x60) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x60) as proof of (cP Xy0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x21 as proof of (cP x0)
% 154.33/154.66 Found x40:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=Xy1:fofType
% 154.33/154.66 Found x40 as proof of (cP Xy1)
% 154.33/154.66 Found x40 as proof of (cP Xy1)
% 154.33/154.66 Found x22:(cP Xy)
% 154.33/154.66 Found x22 as proof of (cP Xy0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found x21 as proof of (cP Xy0)
% 154.33/154.66 Found x20:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy1:fofType
% 154.33/154.66 Found x20 as proof of (cP Xy1)
% 154.33/154.66 Found x20 as proof of (cP Xy1)
% 154.33/154.66 Found x20:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy1:fofType
% 154.33/154.66 Found x20 as proof of (cP Xy1)
% 154.33/154.66 Found x20 as proof of (cP Xy1)
% 154.33/154.66 Found x40:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=Xy1:fofType
% 154.33/154.66 Found x40 as proof of (cP Xy1)
% 154.33/154.66 Found x40 as proof of (cP Xy1)
% 154.33/154.66 Found x20:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x20 as proof of (cP x0)
% 154.33/154.66 Found x40:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x40 as proof of (cP x0)
% 154.33/154.66 Found x40:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x40 as proof of (cP x0)
% 154.33/154.66 Found x20:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x20 as proof of (cP x0)
% 154.33/154.66 Found x50:(cP x0)
% 154.33/154.66 Found x50 as proof of (cP x0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x21 as proof of (cP x0)
% 154.33/154.66 Found x20:=(x2 x30):(cP Xy)
% 154.33/154.66 Found (x2 x30) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x30) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x30) as proof of (cP Xy0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x21 as proof of (cP x0)
% 154.33/154.66 Found x41:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x41 as proof of (cP x0)
% 154.33/154.66 Found x50:(cP x0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x50 as proof of (cP Xy0)
% 154.33/154.66 Found x41:(cP Xy0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x41 as proof of (cP x0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x21 as proof of (cP x0)
% 154.33/154.66 Found x21:(cP Xy)
% 154.33/154.66 Instantiate: Xy0:=Xy:fofType
% 154.33/154.66 Found x21 as proof of (cP Xy0)
% 154.33/154.66 Found x30:(cP x0)
% 154.33/154.66 Instantiate: Xy0:=x0:fofType
% 154.33/154.66 Found x30 as proof of (cP Xy0)
% 154.33/154.66 Found x30:(cP x0)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x30 as proof of (cP Xy)
% 154.33/154.66 Found x41:(cP Xy0)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found x41 as proof of (cP Xy)
% 154.33/154.66 Found x30:(cP x0)
% 154.33/154.66 Found x30 as proof of (cP x0)
% 154.33/154.66 Found x50:(cP x0)
% 154.33/154.66 Instantiate: Xy:=x0:fofType
% 154.33/154.66 Found x50 as proof of (cP Xy)
% 154.33/154.66 Found x50:=(x5 x60):(cP Xy1)
% 154.33/154.66 Instantiate: Xy1:=Xy0:fofType
% 154.33/154.66 Found (x5 x60) as proof of (cP Xy0)
% 154.33/154.66 Found (x5 x60) as proof of (cP Xy0)
% 154.33/154.66 Found x20:=(x2 x60):(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found (x2 x60) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x60) as proof of (cP Xy0)
% 154.33/154.66 Found x20:=(x2 x32):(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found (x2 x32) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x32) as proof of (cP Xy0)
% 154.33/154.66 Found x50:=(x5 x61):(cP Xy1)
% 154.33/154.66 Instantiate: Xy1:=Xy0:fofType
% 154.33/154.66 Found (x5 x61) as proof of (cP Xy0)
% 154.33/154.66 Found (x5 x61) as proof of (cP Xy0)
% 154.33/154.66 Found x50:=(x5 x31):(cP Xy1)
% 154.33/154.66 Instantiate: Xy1:=Xy0:fofType
% 154.33/154.66 Found (x5 x31) as proof of (cP Xy0)
% 154.33/154.66 Found (x5 x31) as proof of (cP Xy0)
% 154.33/154.66 Found x50:=(x5 x32):(cP Xy1)
% 154.33/154.66 Instantiate: Xy1:=Xy0:fofType
% 154.33/154.66 Found (x5 x32) as proof of (cP Xy0)
% 154.33/154.66 Found (x5 x32) as proof of (cP Xy0)
% 154.33/154.66 Found x22:(cP Xy)
% 154.33/154.66 Found x22 as proof of (cP Xy0)
% 154.33/154.66 Found x20:(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found x20 as proof of (cP Xy0)
% 154.33/154.66 Found x20:=(x2 x61):(cP Xy)
% 154.33/154.66 Instantiate: Xy:=Xy0:fofType
% 154.33/154.66 Found (x2 x61) as proof of (cP Xy0)
% 154.33/154.66 Found (x2 x61) as proof of (cP Xy0)
% 154.84/155.13 Found x22:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy0:fofType
% 154.84/155.13 Found x22 as proof of (cP Xy0)
% 154.84/155.13 Found x20:=(x2 x31):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy0:fofType
% 154.84/155.13 Found (x2 x31) as proof of (cP Xy0)
% 154.84/155.13 Found (x2 x31) as proof of (cP Xy0)
% 154.84/155.13 Found x20:=(x2 x32):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x32) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x32):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x32) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x50):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x50) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x50):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x50) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x30):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x30) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x30):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x30) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x51):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x51) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x51):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x51) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x31):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x31) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x31):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x31) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x52):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x52) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x52):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x52) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x51):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x51) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x51):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x51) as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x31):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x31) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x31):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x31) as proof of (cP Xy1)
% 154.84/155.13 Found x8:(cP x7)
% 154.84/155.13 Instantiate: Xy0:=x7:fofType
% 154.84/155.13 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 154.84/155.13 Found x6:((cP Xy0)->(cP x0))
% 154.84/155.13 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 154.84/155.13 Found x6 as proof of ((cP x7)->(cP Xy))
% 154.84/155.13 Found x6 as proof of ((cP x7)->(cP Xy))
% 154.84/155.13 Found x6:((cP Xy0)->(cP x0))
% 154.84/155.13 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 154.84/155.13 Found x6 as proof of ((cP x7)->(cP Xy))
% 154.84/155.13 Found x6 as proof of ((cP x7)->(cP Xy))
% 154.84/155.13 Found x8:(cP x7)
% 154.84/155.13 Instantiate: Xy:=x7:fofType
% 154.84/155.13 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x6:(cP x5)
% 154.84/155.13 Instantiate: Xy:=x5:fofType
% 154.84/155.13 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x31:(cP x0)
% 154.84/155.13 Instantiate: Xy0:=x0:fofType
% 154.84/155.13 Found x31 as proof of (cP Xy0)
% 154.84/155.13 Found x31:(cP x0)
% 154.84/155.13 Instantiate: Xy:=x0:fofType
% 154.84/155.13 Found x31 as proof of (cP Xy)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x30):(cP Xy)
% 154.84/155.13 Found (x2 x30) as proof of (cP Xy0)
% 154.84/155.13 Found (x2 x30) as proof of (cP Xy0)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x30):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x30) as proof of (cP Xy1)
% 154.84/155.13 Found (x2 x30) as proof of (cP Xy1)
% 154.84/155.13 Found x21:(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found x21 as proof of (cP Xy1)
% 154.84/155.13 Found x41:(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found x41 as proof of (cP Xy1)
% 154.84/155.13 Found x40:=(x4 x50):(cP Xy0)
% 154.84/155.13 Instantiate: Xy0:=Xy1:fofType
% 154.84/155.13 Found (x4 x50) as proof of (cP Xy1)
% 154.84/155.13 Found (x4 x50) as proof of (cP Xy1)
% 154.84/155.13 Found x20:=(x2 x50):(cP Xy)
% 154.84/155.13 Instantiate: Xy:=Xy1:fofType
% 154.84/155.13 Found (x2 x50) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x50) as proof of (cP Xy1)
% 155.44/155.80 Found x20:=(x2 x51):(cP Xy)
% 155.44/155.80 Instantiate: Xy:=Xy1:fofType
% 155.44/155.80 Found (x2 x51) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x51) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x51):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x51) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x51) as proof of (cP Xy1)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found x40 as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x30):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x30) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x51):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x51) as proof of (cP Xy1)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found x40 as proof of (cP Xy1)
% 155.44/155.80 Found x41:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found x41 as proof of (cP Xy1)
% 155.44/155.80 Found x20:=(x2 x31):(cP Xy)
% 155.44/155.80 Instantiate: Xy:=Xy1:fofType
% 155.44/155.80 Found (x2 x31) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x31) as proof of (cP Xy1)
% 155.44/155.80 Found x20:=(x2 x51):(cP Xy)
% 155.44/155.80 Instantiate: Xy:=Xy1:fofType
% 155.44/155.80 Found (x2 x51) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x51) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x31):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x31) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x31) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x51):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x51) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x51) as proof of (cP Xy1)
% 155.44/155.80 Found x20:=(x2 x31):(cP Xy)
% 155.44/155.80 Instantiate: Xy:=Xy1:fofType
% 155.44/155.80 Found (x2 x31) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x31) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x31):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x31) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x31) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x32):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x32) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x32) as proof of (cP Xy1)
% 155.44/155.80 Found x20:=(x2 x32):(cP Xy)
% 155.44/155.80 Instantiate: Xy:=Xy1:fofType
% 155.44/155.80 Found (x2 x32) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x32) as proof of (cP Xy1)
% 155.44/155.80 Found x20:=(x2 x52):(cP Xy)
% 155.44/155.80 Instantiate: Xy:=Xy1:fofType
% 155.44/155.80 Found (x2 x52) as proof of (cP Xy1)
% 155.44/155.80 Found (x2 x52) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x52):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x52) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x52) as proof of (cP Xy1)
% 155.44/155.80 Found x40:=(x4 x30):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x30) as proof of (cP Xy1)
% 155.44/155.80 Found (x4 x30) as proof of (cP Xy1)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x30 as proof of (cP Xy0)
% 155.44/155.80 Found x51:(cP x0)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x51 as proof of (cP Xy)
% 155.44/155.80 Found x21:(cP Xy)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x21 as proof of (cP x0)
% 155.44/155.80 Found x21:(cP Xy)
% 155.44/155.80 Instantiate: Xy0:=Xy:fofType
% 155.44/155.80 Found x21 as proof of (cP Xy0)
% 155.44/155.80 Found x21:(cP Xy)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x21 as proof of (cP x0)
% 155.44/155.80 Found x51:(cP x0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x51 as proof of (cP Xy0)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x30 as proof of (cP Xy)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x30 as proof of (cP Xy0)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x30 as proof of (cP Xy0)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x30 as proof of (cP Xy)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x30 as proof of (cP Xy)
% 155.44/155.80 Found x30:(cP x0)
% 155.44/155.80 Found x30 as proof of (cP x0)
% 155.44/155.80 Found (x2 x30) as proof of (cP Xy0)
% 155.44/155.80 Found (x2 x30) as proof of (cP Xy0)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x40 as proof of (cP x0)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x40 as proof of (cP x0)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x40 as proof of (cP x0)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=x0:fofType
% 155.44/155.80 Found x40 as proof of (cP x0)
% 155.44/155.80 Found x20:(cP Xy)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x20 as proof of (cP x0)
% 155.44/155.80 Found x20:(cP Xy)
% 155.44/155.80 Instantiate: Xy0:=Xy:fofType
% 155.44/155.80 Found x20 as proof of (cP Xy0)
% 155.44/155.80 Found x20:(cP Xy)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x20 as proof of (cP x0)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Found x40 as proof of (cP Xy0)
% 155.44/155.80 Found x40:(cP Xy0)
% 155.44/155.80 Instantiate: Xy:=Xy0:fofType
% 155.44/155.80 Found x40 as proof of (cP Xy)
% 155.44/155.80 Found x20:(cP Xy)
% 155.44/155.80 Instantiate: Xy0:=Xy:fofType
% 155.44/155.80 Found x20 as proof of (cP Xy0)
% 155.44/155.80 Found x20:(cP Xy)
% 155.44/155.80 Instantiate: Xy:=x0:fofType
% 155.44/155.80 Found x20 as proof of (cP x0)
% 155.44/155.80 Found x20:(cP Xy)
% 155.44/155.80 Found x20 as proof of (cP Xy)
% 155.44/155.80 Found x40:=(x4 x51):(cP Xy0)
% 155.44/155.80 Instantiate: Xy0:=Xy1:fofType
% 155.44/155.80 Found (x4 x51) as proof of (cP Xy1)
% 157.70/158.06 Found (x4 x51) as proof of (cP Xy1)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x40 as proof of (cP Xy)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x21:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=Xy1:fofType
% 157.70/158.06 Found x21 as proof of (cP Xy1)
% 157.70/158.06 Found x21 as proof of (cP Xy1)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy1:fofType
% 157.70/158.06 Found x40 as proof of (cP Xy1)
% 157.70/158.06 Found x40 as proof of (cP Xy1)
% 157.70/158.06 Found x40:=(x4 x30):(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy1:fofType
% 157.70/158.06 Found (x4 x30) as proof of (cP Xy1)
% 157.70/158.06 Found (x4 x30) as proof of (cP Xy1)
% 157.70/158.06 Found x41:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy1:fofType
% 157.70/158.06 Found x41 as proof of (cP Xy1)
% 157.70/158.06 Found x41 as proof of (cP Xy1)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy1:fofType
% 157.70/158.06 Found x40 as proof of (cP Xy1)
% 157.70/158.06 Found x40 as proof of (cP Xy1)
% 157.70/158.06 Found x20:=(x2 x30):(cP Xy)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found x30:(cP x0)
% 157.70/158.06 Found x30 as proof of (cP x0)
% 157.70/158.06 Found (x4 x30) as proof of (cP Xy1)
% 157.70/158.06 Found (x4 x30) as proof of (cP Xy1)
% 157.70/158.06 Found x30:(cP x0)
% 157.70/158.06 Found x30 as proof of (cP x0)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy1)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy1)
% 157.70/158.06 Found x6:(cP x5)
% 157.70/158.06 Instantiate: Xy:=x5:fofType
% 157.70/158.06 Found x6 as proof of (cP Xy)
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x20 as proof of (cP Xy0)
% 157.70/158.06 Found x23:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x23 as proof of (cP x0)
% 157.70/158.06 Found x22:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x22 as proof of (cP Xy0)
% 157.70/158.06 Found x30:=(x3 x40):(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy:fofType
% 157.70/158.06 Found (x3 x40) as proof of (cP Xy)
% 157.70/158.06 Found (x3 x40) as proof of (cP Xy)
% 157.70/158.06 Found x22:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x22 as proof of (cP Xy0)
% 157.70/158.06 Found x50:(cP x0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x50 as proof of (cP Xy0)
% 157.70/158.06 Found x30:(cP x0)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x30 as proof of (cP Xy)
% 157.70/158.06 Found x41:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy1:fofType
% 157.70/158.06 Found (fun (x8:(cP x7))=> x41) as proof of (cP Xy1)
% 157.70/158.06 Found (fun (x8:(cP x7))=> x41) as proof of ((cP x7)->(cP Xy1))
% 157.70/158.06 Found x21:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=Xy1:fofType
% 157.70/158.06 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy1)
% 157.70/158.06 Found (fun (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy1))
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x20 as proof of (cP x0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x20 as proof of (cP x0)
% 157.70/158.06 Found x50:(cP x0)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x50 as proof of (cP Xy)
% 157.70/158.06 Found x30:(cP x0)
% 157.70/158.06 Found x30 as proof of (cP x0)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found x22:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x22 as proof of (cP Xy0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x40 as proof of (cP Xy)
% 157.70/158.06 Found x50:(cP x0)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x50 as proof of (cP Xy)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x20 as proof of (cP x0)
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy0:=Xy:fofType
% 157.70/158.06 Found x20 as proof of (cP Xy0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x40 as proof of (cP x0)
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy:=Xy0:fofType
% 157.70/158.06 Found x40 as proof of (cP Xy)
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy:=x0:fofType
% 157.70/158.06 Found x20 as proof of (cP x0)
% 157.70/158.06 Found x30:(cP x0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x30 as proof of (cP Xy0)
% 157.70/158.06 Found x30:(cP x0)
% 157.70/158.06 Instantiate: Xy0:=x0:fofType
% 157.70/158.06 Found x30 as proof of (cP Xy0)
% 157.70/158.06 Found x20:(cP Xy)
% 157.70/158.06 Instantiate: Xy0:=Xy:fofType
% 157.70/158.06 Found x20 as proof of (cP Xy0)
% 157.70/158.06 Found x20:=(x2 x30):(cP Xy)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found (x2 x30) as proof of (cP Xy0)
% 157.70/158.06 Found x3:((cP Xy)->(cP x0))
% 157.70/158.06 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 157.70/158.06 Found x3 as proof of ((cP x7)->(cP Xy0))
% 157.70/158.06 Found x40:(cP Xy0)
% 157.70/158.06 Instantiate: Xy0:=Xy1:fofType
% 157.70/158.06 Found x40 as proof of (cP Xy1)
% 157.70/158.06 Found x40 as proof of (cP Xy1)
% 157.70/158.06 Found x6:((cP Xy0)->(cP x0))
% 157.70/158.06 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 159.23/159.58 Found x6 as proof of ((cP x7)->(cP Xy))
% 159.23/159.58 Found x3:((cP Xy)->(cP x0))
% 159.23/159.58 Instantiate: Xy0:=x0:fofType;Xy:=x7:fofType
% 159.23/159.58 Found x3 as proof of ((cP x7)->(cP Xy0))
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x21 as proof of (cP x0)
% 159.23/159.58 Found x31:(cP x0)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x31 as proof of (cP Xy)
% 159.23/159.58 Found x6:((cP Xy0)->(cP x0))
% 159.23/159.58 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 159.23/159.58 Found x6 as proof of ((cP x7)->(cP Xy))
% 159.23/159.58 Found x40:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy1:fofType
% 159.23/159.58 Found x40 as proof of (cP Xy1)
% 159.23/159.58 Found x40 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x20:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.23/159.58 Found x20:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy1:fofType
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x8:(cP x7)
% 159.23/159.58 Instantiate: Xy:=x7:fofType
% 159.23/159.58 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 159.23/159.58 Found x50:(cP x0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x50 as proof of (cP Xy0)
% 159.23/159.58 Found x31:(cP x0)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x31 as proof of (cP Xy)
% 159.23/159.58 Found x31:(cP x0)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x31 as proof of (cP Xy)
% 159.23/159.58 Found x50:(cP x0)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x50 as proof of (cP Xy)
% 159.23/159.58 Found x31:(cP x0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x31 as proof of (cP Xy0)
% 159.23/159.58 Found x31:(cP x0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x31 as proof of (cP Xy0)
% 159.23/159.58 Found x50:(cP x0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x50 as proof of (cP Xy0)
% 159.23/159.58 Found x50:(cP x0)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x50 as proof of (cP Xy)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy1:fofType
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy1:fofType
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x22:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy0:fofType
% 159.23/159.58 Found x22 as proof of (cP Xy0)
% 159.23/159.58 Found x30:(cP x0)
% 159.23/159.58 Found x30 as proof of (cP x0)
% 159.23/159.58 Found (x2 x30) as proof of (cP Xy0)
% 159.23/159.58 Found (x2 x30) as proof of (cP Xy0)
% 159.23/159.58 Found x20:=(x2 x30):(cP Xy)
% 159.23/159.58 Found (x2 x30) as proof of (cP Xy0)
% 159.23/159.58 Found (x2 x30) as proof of (cP Xy0)
% 159.23/159.58 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 159.23/159.58 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy1:fofType
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x30:=(x3 x40):(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy:fofType
% 159.23/159.58 Found (x3 x40) as proof of (cP Xy)
% 159.23/159.58 Found (x3 x40) as proof of (cP Xy)
% 159.23/159.58 Found x22:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy0:fofType
% 159.23/159.58 Found x22 as proof of (cP Xy0)
% 159.23/159.58 Found x40:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x40 as proof of (cP x0)
% 159.23/159.58 Found x40:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x40 as proof of (cP x0)
% 159.23/159.58 Found x20:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x20 as proof of (cP x0)
% 159.23/159.58 Found x30:(cP x0)
% 159.23/159.58 Instantiate: Xy:=x0:fofType
% 159.23/159.58 Found x30 as proof of (cP Xy)
% 159.23/159.58 Found x40:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x40 as proof of (cP x0)
% 159.23/159.58 Found x40:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=x0:fofType
% 159.23/159.58 Found x40 as proof of (cP x0)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x41:(cP Xy0)
% 159.23/159.58 Instantiate: Xy0:=Xy1:fofType
% 159.23/159.58 Found x41 as proof of (cP Xy1)
% 159.23/159.58 Found x40:(cP Xy0)
% 159.23/159.58 Found x40 as proof of (cP Xy1)
% 159.23/159.58 Found x20:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x20:(cP Xy)
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.23/159.58 Found x21:(cP Xy)
% 159.23/159.58 Found x21 as proof of (cP Xy1)
% 159.23/159.58 Found x20:(cP Xy)
% 159.23/159.58 Instantiate: Xy:=Xy1:fofType
% 159.23/159.58 Found x20 as proof of (cP Xy1)
% 159.83/160.13 Found x20:(cP Xy)
% 159.83/160.13 Found x20 as proof of (cP Xy1)
% 159.83/160.13 Found x51:(cP x0)
% 159.83/160.13 Instantiate: Xy0:=x0:fofType
% 159.83/160.13 Found x51 as proof of (cP Xy0)
% 159.83/160.13 Found x31:(cP x0)
% 159.83/160.13 Instantiate: Xy0:=x0:fofType
% 159.83/160.13 Found x31 as proof of (cP Xy0)
% 159.83/160.13 Found x30:(cP x0)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x30 as proof of (cP Xy)
% 159.83/160.13 Found x30:(cP x0)
% 159.83/160.13 Instantiate: Xy0:=x0:fofType
% 159.83/160.13 Found x30 as proof of (cP Xy0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x50 as proof of (cP Xy)
% 159.83/160.13 Found x31:(cP x0)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x31 as proof of (cP Xy)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Instantiate: Xy0:=x0:fofType
% 159.83/160.13 Found x50 as proof of (cP Xy0)
% 159.83/160.13 Found x51:(cP x0)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x51 as proof of (cP Xy)
% 159.83/160.13 Found x40:(cP Xy0)
% 159.83/160.13 Found x40 as proof of (cP Xy1)
% 159.83/160.13 Found x41:(cP Xy0)
% 159.83/160.13 Instantiate: Xy0:=Xy1:fofType
% 159.83/160.13 Found x41 as proof of (cP Xy1)
% 159.83/160.13 Found x40:(cP Xy0)
% 159.83/160.13 Instantiate: Xy0:=Xy1:fofType
% 159.83/160.13 Found x40 as proof of (cP Xy1)
% 159.83/160.13 Found x41:(cP Xy0)
% 159.83/160.13 Found x41 as proof of (cP Xy1)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy:=Xy1:fofType
% 159.83/160.13 Found x21 as proof of (cP Xy1)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Found x21 as proof of (cP Xy1)
% 159.83/160.13 Found x40:(cP Xy0)
% 159.83/160.13 Instantiate: Xy0:=Xy1:fofType
% 159.83/160.13 Found x40 as proof of (cP Xy1)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x21 as proof of (cP x0)
% 159.83/160.13 Found x8:(cP x7)
% 159.83/160.13 Instantiate: Xy1:=x7:fofType
% 159.83/160.13 Found x8 as proof of (cP Xy1)
% 159.83/160.13 Found (x6 x8) as proof of (cP x0)
% 159.83/160.13 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Instantiate: Xy0:=x0:fofType
% 159.83/160.13 Found x50 as proof of (cP Xy0)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x21 as proof of (cP x0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x50 as proof of (cP Xy)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy0:=Xy:fofType
% 159.83/160.13 Found x21 as proof of (cP Xy0)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x21 as proof of (cP x0)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy0:=Xy:fofType
% 159.83/160.13 Found x21 as proof of (cP Xy0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Found x50 as proof of (cP x0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Instantiate: Xy0:=x0:fofType
% 159.83/160.13 Found x50 as proof of (cP Xy0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x50 as proof of (cP Xy)
% 159.83/160.13 Found x21:(cP Xy)
% 159.83/160.13 Instantiate: Xy:=x0:fofType
% 159.83/160.13 Found x21 as proof of (cP x0)
% 159.83/160.13 Found x8:(cP x7)
% 159.83/160.13 Instantiate: Xy:=x7:fofType
% 159.83/160.13 Found x8 as proof of (cP Xy)
% 159.83/160.13 Found (x3 x8) as proof of (cP x0)
% 159.83/160.13 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 159.83/160.13 Found x50:(cP x0)
% 159.83/160.13 Found x50 as proof of (cP x0)
% 159.83/160.13 Found x50:=(x5 x30):(cP Xy1)
% 159.83/160.13 Instantiate: Xy1:=Xy0:fofType
% 159.83/160.13 Found (x5 x30) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x8:(cP x7))=> (x5 x30)) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of ((cP x7)->(cP Xy0))
% 159.83/160.13 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 159.83/160.13 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 159.83/160.13 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 159.83/160.13 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30))) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x30)))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 159.83/160.13 Found x50:=(x5 x32):(cP Xy1)
% 159.83/160.13 Instantiate: Xy1:=Xy0:fofType
% 159.83/160.13 Found (x5 x32) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 159.83/160.13 Found x20:=(x2 x32):(cP Xy)
% 159.83/160.13 Instantiate: Xy:=Xy0:fofType
% 159.83/160.13 Found (x2 x32) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (cP Xy0)
% 159.83/160.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 159.83/160.13 Found x20:=(x2 x51):(cP Xy)
% 159.83/160.13 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x31):(cP Xy)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x31):(cP Xy)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x51):(cP Xy)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x31):(cP Xy)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x31):(cP Xy0)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x51):(cP Xy0)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x51):(cP Xy0)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x31):(cP Xy0)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x51):(cP Xy0)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x31):(cP Xy0)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x31):(cP Xy)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x51):(cP Xy)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x20:=(x2 x51):(cP Xy)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x2 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x51):(cP Xy0)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x51) as proof of (cP Xy1)
% 160.21/160.59 Found x40:=(x4 x31):(cP Xy0)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found (x4 x31) as proof of (cP Xy1)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x20:(cP Xy)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x20 as proof of (cP x0)
% 160.21/160.59 Found x20:(cP Xy)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x20 as proof of (cP x0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x41:(cP Xy0)
% 160.21/160.59 Instantiate: Xy0:=Xy1:fofType
% 160.21/160.59 Found x41 as proof of (cP Xy1)
% 160.21/160.59 Found x41 as proof of (cP Xy1)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Found x30 as proof of (cP x0)
% 160.21/160.59 Found (x2 x30) as proof of (cP Xy0)
% 160.21/160.59 Found (x2 x30) as proof of (cP Xy0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x51:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x51 as proof of (cP Xy0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x51:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x51 as proof of (cP Xy)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy0)
% 160.21/160.59 Found x51:(cP x0)
% 160.21/160.59 Instantiate: Xy:=x0:fofType
% 160.21/160.59 Found x51 as proof of (cP Xy)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy0)
% 160.21/160.59 Found x51:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x51 as proof of (cP Xy0)
% 160.21/160.59 Found x30:(cP x0)
% 160.21/160.59 Instantiate: Xy0:=x0:fofType
% 160.21/160.59 Found x30 as proof of (cP Xy0)
% 160.21/160.59 Found x21:(cP Xy)
% 160.21/160.59 Instantiate: Xy:=Xy1:fofType
% 160.21/160.59 Found x21 as proof of (cP Xy1)
% 160.21/160.59 Found x21 as proof of (cP Xy1)
% 160.21/160.59 Found x40:(cP Xy0)
% 160.21/160.59 Instantiate: Xy0:=Xy1:fofType
% 160.21/160.59 Found x40 as proof of (cP Xy1)
% 160.21/160.59 Found x40 as proof of (cP Xy1)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=Xy1:fofType
% 161.13/161.42 Found x40 as proof of (cP Xy1)
% 161.13/161.42 Found x40 as proof of (cP Xy1)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=Xy1:fofType
% 161.13/161.42 Found x20 as proof of (cP Xy1)
% 161.13/161.42 Found x20 as proof of (cP Xy1)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=Xy1:fofType
% 161.13/161.42 Found x20 as proof of (cP Xy1)
% 161.13/161.42 Found x20 as proof of (cP Xy1)
% 161.13/161.42 Found x20:=(x2 x60):(cP Xy)
% 161.13/161.42 Instantiate: Xy:=Xy0:fofType
% 161.13/161.42 Found (x2 x60) as proof of (cP Xy0)
% 161.13/161.42 Found (x2 x60) as proof of (cP Xy0)
% 161.13/161.42 Found x50:=(x5 x60):(cP Xy1)
% 161.13/161.42 Instantiate: Xy1:=Xy0:fofType
% 161.13/161.42 Found (x5 x60) as proof of (cP Xy0)
% 161.13/161.42 Found (x5 x60) as proof of (cP Xy0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x21:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x21 as proof of (cP x0)
% 161.13/161.42 Found x31:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x31 as proof of (cP Xy)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x21:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x21 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x20:=(x2 x32):(cP Xy)
% 161.13/161.42 Instantiate: Xy:=Xy0:fofType
% 161.13/161.42 Found (x2 x32) as proof of (cP Xy0)
% 161.13/161.42 Found (x2 x32) as proof of (cP Xy0)
% 161.13/161.42 Found x50:=(x5 x32):(cP Xy1)
% 161.13/161.42 Instantiate: Xy1:=Xy0:fofType
% 161.13/161.42 Found (x5 x32) as proof of (cP Xy0)
% 161.13/161.42 Found (x5 x32) as proof of (cP Xy0)
% 161.13/161.42 Found x50:(cP x0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x50 as proof of (cP Xy0)
% 161.13/161.42 Found x21:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x21 as proof of (cP x0)
% 161.13/161.42 Found x31:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x31 as proof of (cP Xy)
% 161.13/161.42 Found x31:(cP x0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x31 as proof of (cP Xy0)
% 161.13/161.42 Found x50:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x50 as proof of (cP Xy)
% 161.13/161.42 Found x31:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x31 as proof of (cP Xy)
% 161.13/161.42 Found x30:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x30 as proof of (cP Xy)
% 161.13/161.42 Found x30:(cP x0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x30 as proof of (cP Xy0)
% 161.13/161.42 Found x51:(cP x0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x51 as proof of (cP Xy0)
% 161.13/161.42 Found x31:(cP x0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x31 as proof of (cP Xy0)
% 161.13/161.42 Found x51:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x51 as proof of (cP Xy)
% 161.13/161.42 Found x50:(cP x0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x50 as proof of (cP Xy0)
% 161.13/161.42 Found x21:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x21 as proof of (cP x0)
% 161.13/161.42 Found x50:(cP x0)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x50 as proof of (cP Xy)
% 161.13/161.42 Found x30:(cP x0)
% 161.13/161.42 Found x30 as proof of (cP x0)
% 161.13/161.42 Found (x2 x30) as proof of (cP Xy0)
% 161.13/161.42 Found (x2 x30) as proof of (cP Xy0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x20 as proof of (cP x0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x20 as proof of (cP x0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 161.13/161.42 Found x20 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy:=Xy0:fofType
% 161.13/161.42 Found x40 as proof of (cP Xy)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy0:=Xy:fofType
% 161.13/161.42 Found x20 as proof of (cP Xy0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy0:=x0:fofType
% 161.13/161.42 Found x40 as proof of (cP x0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy0:=Xy:fofType
% 161.13/161.42 Found x20 as proof of (cP Xy0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy0:=Xy:fofType
% 161.13/161.42 Found x20 as proof of (cP Xy0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Found x20 as proof of (cP Xy)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy:=Xy0:fofType
% 161.13/161.42 Found x40 as proof of (cP Xy)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Instantiate: Xy:=Xy0:fofType
% 161.13/161.42 Found x40 as proof of (cP Xy)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Found x20 as proof of (cP Xy)
% 161.13/161.42 Found x40:(cP Xy0)
% 161.13/161.42 Found x40 as proof of (cP Xy0)
% 161.13/161.42 Found x20:(cP Xy)
% 161.13/161.42 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x20 as proof of (cP x0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x20 as proof of (cP x0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy0:=Xy:fofType
% 162.03/162.34 Found x20 as proof of (cP Xy0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x20 as proof of (cP x0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x20 as proof of (cP x0)
% 162.03/162.34 Found x20:=(x2 x30):(cP Xy)
% 162.03/162.34 Found (x2 x30) as proof of (cP Xy0)
% 162.03/162.34 Found (x2 x30) as proof of (cP Xy0)
% 162.03/162.34 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 162.03/162.34 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy:=Xy0:fofType
% 162.03/162.34 Found x40 as proof of (cP Xy)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Found x40 as proof of (cP Xy0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x20 as proof of (cP x0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x22:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=Xy0:fofType
% 162.03/162.34 Found x22 as proof of (cP Xy0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy0:=Xy:fofType
% 162.03/162.34 Found x20 as proof of (cP Xy0)
% 162.03/162.34 Found x22:(cP Xy)
% 162.03/162.34 Found x22 as proof of (cP Xy0)
% 162.03/162.34 Found x20:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x20 as proof of (cP x0)
% 162.03/162.34 Found x40:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x40 as proof of (cP x0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=Xy0:fofType
% 162.03/162.34 Found x21 as proof of (cP Xy0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x21 as proof of (cP x0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy0:=Xy:fofType
% 162.03/162.34 Found x21 as proof of (cP Xy0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x21 as proof of (cP x0)
% 162.03/162.34 Found x41:(cP Xy0)
% 162.03/162.34 Instantiate: Xy:=Xy0:fofType
% 162.03/162.34 Found x41 as proof of (cP Xy)
% 162.03/162.34 Found x50:(cP x0)
% 162.03/162.34 Found x50 as proof of (cP x0)
% 162.03/162.34 Found x50:(cP x0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x50 as proof of (cP Xy0)
% 162.03/162.34 Found x50:(cP x0)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x50 as proof of (cP Xy)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy0)
% 162.03/162.34 Found x50:(cP x0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x50 as proof of (cP Xy0)
% 162.03/162.34 Found x41:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x41 as proof of (cP x0)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Found x30 as proof of (cP x0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x21 as proof of (cP x0)
% 162.03/162.34 Found x50:(cP x0)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x50 as proof of (cP Xy)
% 162.03/162.34 Found x50:(cP x0)
% 162.03/162.34 Found x50 as proof of (cP x0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x21 as proof of (cP x0)
% 162.03/162.34 Found x41:(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x41 as proof of (cP x0)
% 162.03/162.34 Found x21:(cP Xy)
% 162.03/162.34 Instantiate: Xy0:=Xy:fofType
% 162.03/162.34 Found x21 as proof of (cP Xy0)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy0)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy0:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy0)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy)
% 162.03/162.34 Found x30:(cP x0)
% 162.03/162.34 Instantiate: Xy:=x0:fofType
% 162.03/162.34 Found x30 as proof of (cP Xy)
% 162.03/162.34 Found x20:=(x2 x31):(cP Xy)
% 162.03/162.34 Instantiate: Xy:=Xy1:fofType
% 162.03/162.34 Found (x2 x31) as proof of (cP Xy1)
% 162.03/162.34 Found x40:=(x4 x31):(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=Xy1:fofType
% 162.03/162.34 Found (x4 x31) as proof of (cP Xy1)
% 162.03/162.34 Found x40:=(x4 x32):(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=Xy1:fofType
% 162.03/162.34 Found (x4 x32) as proof of (cP Xy1)
% 162.03/162.34 Found x20:=(x2 x32):(cP Xy)
% 162.03/162.34 Instantiate: Xy:=Xy1:fofType
% 162.03/162.34 Found (x2 x32) as proof of (cP Xy1)
% 162.03/162.34 Found x40:=(x4 x30):(cP Xy0)
% 162.03/162.34 Instantiate: Xy0:=Xy1:fofType
% 162.03/162.34 Found (x4 x30) as proof of (cP Xy1)
% 162.03/162.34 Found x20:=(x2 x30):(cP Xy)
% 162.03/162.34 Instantiate: Xy:=Xy1:fofType
% 162.03/162.34 Found (x2 x30) as proof of (cP Xy1)
% 162.03/162.34 Found x20:=(x2 x52):(cP Xy)
% 162.03/162.34 Instantiate: Xy:=Xy1:fofType
% 162.03/162.34 Found (x2 x52) as proof of (cP Xy1)
% 163.21/163.50 Found x40:=(x4 x52):(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found (x4 x52) as proof of (cP Xy1)
% 163.21/163.50 Found x20:=(x2 x51):(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found (x2 x51) as proof of (cP Xy1)
% 163.21/163.50 Found x40:=(x4 x51):(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found (x4 x51) as proof of (cP Xy1)
% 163.21/163.50 Found x20:=(x2 x51):(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found (x2 x51) as proof of (cP Xy1)
% 163.21/163.50 Found x40:=(x4 x51):(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found (x4 x51) as proof of (cP Xy1)
% 163.21/163.50 Found x20:=(x2 x31):(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found (x2 x31) as proof of (cP Xy1)
% 163.21/163.50 Found x40:=(x4 x31):(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found (x4 x31) as proof of (cP Xy1)
% 163.21/163.50 Found x20:=(x2 x50):(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found (x2 x50) as proof of (cP Xy1)
% 163.21/163.50 Found x40:=(x4 x50):(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found (x4 x50) as proof of (cP Xy1)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x20 as proof of (cP x0)
% 163.21/163.50 Found x6:((cP Xy0)->(cP x0))
% 163.21/163.50 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 163.21/163.50 Found x6 as proof of ((cP x7)->(cP Xy))
% 163.21/163.50 Found x30:(cP x0)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x30 as proof of (cP Xy)
% 163.21/163.50 Found x30:(cP x0)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x30 as proof of (cP Xy)
% 163.21/163.50 Found x6:((cP Xy0)->(cP x0))
% 163.21/163.50 Instantiate: Xy0:=x7:fofType;Xy:=x0:fofType
% 163.21/163.50 Found x6 as proof of ((cP x7)->(cP Xy))
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x20 as proof of (cP x0)
% 163.21/163.50 Found x41:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x41 as proof of (cP Xy1)
% 163.21/163.50 Found x41:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x41 as proof of (cP Xy1)
% 163.21/163.50 Found x41:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x41 as proof of (cP Xy1)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x41:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x41 as proof of (cP Xy1)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x40:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=x0:fofType
% 163.21/163.50 Found x40 as proof of (cP x0)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x21 as proof of (cP x0)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy0:=Xy:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy0)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x21 as proof of (cP x0)
% 163.21/163.50 Found x40:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=x0:fofType
% 163.21/163.50 Found x40 as proof of (cP x0)
% 163.21/163.50 Found x41:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x41 as proof of (cP Xy1)
% 163.21/163.50 Found x40:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=x0:fofType
% 163.21/163.50 Found x40 as proof of (cP x0)
% 163.21/163.50 Found x40:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=x0:fofType
% 163.21/163.50 Found x40 as proof of (cP x0)
% 163.21/163.50 Found x41:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x41 as proof of (cP Xy1)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x40:(cP Xy0)
% 163.21/163.50 Instantiate: Xy0:=Xy1:fofType
% 163.21/163.50 Found x40 as proof of (cP Xy1)
% 163.21/163.50 Found x40 as proof of (cP Xy1)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x20 as proof of (cP Xy1)
% 163.21/163.50 Found x20 as proof of (cP Xy1)
% 163.21/163.50 Found x31:(cP x0)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x31 as proof of (cP Xy)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy0:=Xy:fofType
% 163.21/163.50 Found x20 as proof of (cP Xy0)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x20 as proof of (cP x0)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Found x20 as proof of (cP Xy)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy0:=Xy:fofType
% 163.21/163.50 Found x20 as proof of (cP Xy0)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x20 as proof of (cP x0)
% 163.21/163.50 Found x20:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=x0:fofType
% 163.21/163.50 Found x20 as proof of (cP x0)
% 163.21/163.50 Found x21:(cP Xy)
% 163.21/163.50 Instantiate: Xy:=Xy1:fofType
% 163.21/163.50 Found x21 as proof of (cP Xy1)
% 163.21/163.50 Found x8:(cP x7)
% 163.21/163.50 Instantiate: Xy2:=x7:fofType
% 163.21/163.50 Found x8 as proof of (cP Xy2)
% 163.21/163.50 Found (x13 x8) as proof of (cP x0)
% 163.21/163.50 Found (x13 x8) as proof of (cP x0)
% 163.21/163.50 Found (x2 (x13 x8)) as proof of (cP Xy1)
% 163.21/163.50 Found (x2 (x13 x8)) as proof of (cP Xy1)
% 163.21/163.50 Found (fun (x13:((cP Xy2)->(cP x0)))=> (x2 (x13 x8))) as proof of (cP Xy1)
% 163.21/163.50 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x2 (x13 x8))) as proof of (((cP Xy2)->(cP x0))->(cP Xy1))
% 163.32/163.65 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x2 (x13 x8))) as proof of (((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->(cP Xy1)))
% 163.32/163.65 Found (and_rect20 (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x2 (x13 x8)))) as proof of (cP Xy1)
% 163.32/163.65 Found ((and_rect2 (cP Xy1)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x2 (x13 x8)))) as proof of (cP Xy1)
% 163.32/163.65 Found (((fun (P:Type) (x9:(((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy2))) ((cP Xy2)->(cP x0))) P) x9) x12)) (cP Xy1)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x2 (x13 x8)))) as proof of (cP Xy1)
% 163.32/163.65 Found (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8)))) as proof of (cP Xy1)
% 163.32/163.65 Found (fun (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8))))) as proof of (cP Xy1)
% 163.32/163.66 Found (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8))))) as proof of ((cP x7)->(cP Xy1))
% 163.32/163.66 Found (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy1)))
% 163.32/163.66 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8)))))) as proof of (cP Xy1)
% 163.32/163.66 Found ((ex_ind1 (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8)))))) as proof of (cP Xy1)
% 163.32/163.66 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP Xy1)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy1)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x2 (x13 x8)))))) as proof of (cP Xy1)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found x40 as proof of (cP Xy1)
% 163.32/163.66 Found x40 as proof of (cP Xy1)
% 163.32/163.66 Found x41:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found x41 as proof of (cP Xy1)
% 163.32/163.66 Found x41:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found x41 as proof of (cP Xy1)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found x40 as proof of (cP Xy1)
% 163.32/163.66 Found x40:=(x4 x51):(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found (x4 x51) as proof of (cP Xy1)
% 163.32/163.66 Found x21:(cP Xy)
% 163.32/163.66 Instantiate: Xy:=Xy1:fofType
% 163.32/163.66 Found x21 as proof of (cP Xy1)
% 163.32/163.66 Found x40:=(x4 x30):(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found (x4 x30) as proof of (cP Xy1)
% 163.32/163.66 Found x20:(cP Xy)
% 163.32/163.66 Instantiate: Xy:=Xy1:fofType
% 163.32/163.66 Found x20 as proof of (cP Xy1)
% 163.32/163.66 Found x20 as proof of (cP Xy1)
% 163.32/163.66 Found x41:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found x41 as proof of (cP Xy1)
% 163.32/163.66 Found x41 as proof of (cP Xy1)
% 163.32/163.66 Found x21:(cP Xy)
% 163.32/163.66 Instantiate: Xy:=Xy1:fofType
% 163.32/163.66 Found x21 as proof of (cP Xy1)
% 163.32/163.66 Found x21 as proof of (cP Xy1)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=Xy1:fofType
% 163.32/163.66 Found x40 as proof of (cP Xy1)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=x0:fofType
% 163.32/163.66 Found x40 as proof of (cP x0)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=x0:fofType
% 163.32/163.66 Found x40 as proof of (cP x0)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Instantiate: Xy0:=x0:fofType
% 163.32/163.66 Found x40 as proof of (cP x0)
% 163.32/163.66 Found x40:(cP Xy0)
% 163.32/163.66 Found x40 as proof of (cP Xy0)
% 163.32/163.66 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=x0:fofType
% 165.28/165.64 Found x40 as proof of (cP x0)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy:=Xy0:fofType
% 165.28/165.64 Found x40 as proof of (cP Xy)
% 165.28/165.64 Found x30:(cP x0)
% 165.28/165.64 Found x30 as proof of (cP x0)
% 165.28/165.64 Found (x2 x30) as proof of (cP Xy0)
% 165.28/165.64 Found (x2 x30) as proof of (cP Xy0)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy:=Xy0:fofType
% 165.28/165.64 Found x40 as proof of (cP Xy)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=x0:fofType
% 165.28/165.64 Found x40 as proof of (cP x0)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=x0:fofType
% 165.28/165.64 Found x40 as proof of (cP x0)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x21 as proof of (cP x0)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=x0:fofType
% 165.28/165.64 Found x40 as proof of (cP x0)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x21 as proof of (cP x0)
% 165.28/165.64 Found x20:=(x2 x30):(cP Xy)
% 165.28/165.64 Found (x2 x30) as proof of (cP Xy0)
% 165.28/165.64 Found (x2 x30) as proof of (cP Xy0)
% 165.28/165.64 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 165.28/165.64 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x20 as proof of (cP x0)
% 165.28/165.64 Found x30:(cP x0)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x30 as proof of (cP Xy)
% 165.28/165.64 Found x22:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy0:fofType
% 165.28/165.64 Found x22 as proof of (cP Xy0)
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy0:fofType
% 165.28/165.64 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 165.28/165.64 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 165.28/165.64 Found x8:(cP x7)
% 165.28/165.64 Instantiate: Xy1:=x7:fofType
% 165.28/165.64 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x8:(cP x7)
% 165.28/165.64 Instantiate: Xy:=x7:fofType
% 165.28/165.64 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x20 as proof of (cP x0)
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x20 as proof of (cP x0)
% 165.28/165.64 Found x30:(cP x0)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x30 as proof of (cP Xy)
% 165.28/165.64 Found x30:(cP x0)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x30 as proof of (cP Xy)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x40 as proof of (cP Xy1)
% 165.28/165.64 Found x40:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x40 as proof of (cP Xy1)
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x20 as proof of (cP Xy1)
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x20 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x22:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy0:fofType
% 165.28/165.64 Found x22 as proof of (cP Xy0)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x21 as proof of (cP x0)
% 165.28/165.64 Found x23:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=x0:fofType
% 165.28/165.64 Found x23 as proof of (cP x0)
% 165.28/165.64 Found x6:(cP x5)
% 165.28/165.64 Instantiate: Xy:=x5:fofType
% 165.28/165.64 Found x6 as proof of (cP Xy)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x21:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy1:fofType
% 165.28/165.64 Found x21 as proof of (cP Xy1)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Instantiate: Xy0:=Xy1:fofType
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x41:(cP Xy0)
% 165.28/165.64 Found x41 as proof of (cP Xy1)
% 165.28/165.64 Found x20:=(x2 x51):(cP Xy)
% 165.28/165.64 Found (x2 x51) as proof of (cP Xy1)
% 165.28/165.64 Found (x2 x51) as proof of (cP Xy1)
% 165.28/165.64 Found (x2 x51) as proof of (cP Xy1)
% 165.28/165.64 Found x40:=(x4 x31):(cP Xy0)
% 165.28/165.64 Found (x4 x31) as proof of (cP Xy1)
% 165.28/165.64 Found (x4 x31) as proof of (cP Xy1)
% 165.28/165.64 Found (x4 x31) as proof of (cP Xy1)
% 165.28/165.64 Found x20:(cP Xy)
% 165.28/165.64 Instantiate: Xy:=Xy0:fofType
% 165.28/165.64 Found x20 as proof of (cP Xy0)
% 165.28/165.64 Found x40:=(x4 x51):(cP Xy0)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x51):(cP Xy)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x40:=(x4 x31):(cP Xy0)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x51):(cP Xy)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x40:=(x4 x31):(cP Xy0)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x51):(cP Xy)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x31):(cP Xy)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x31):(cP Xy)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Found x41 as proof of (cP Xy1)
% 165.58/165.94 Found x40:=(x4 x31):(cP Xy0)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x40:=(x4 x51):(cP Xy0)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x40:=(x4 x51):(cP Xy0)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x31):(cP Xy)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x40:=(x4 x51):(cP Xy0)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found (x4 x51) as proof of (cP Xy1)
% 165.58/165.94 Found x20:=(x2 x31):(cP Xy)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found (x2 x31) as proof of (cP Xy1)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Instantiate: Xy0:=x0:fofType
% 165.58/165.94 Found x41 as proof of (cP x0)
% 165.58/165.94 Found x20:=(x2 x30):(cP Xy)
% 165.58/165.94 Found (x2 x30) as proof of (cP Xy0)
% 165.58/165.94 Found (x2 x30) as proof of (cP Xy0)
% 165.58/165.94 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 165.58/165.94 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 165.58/165.94 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 165.58/165.94 Found x30:(cP x0)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x30 as proof of (cP Xy)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Instantiate: Xy:=Xy0:fofType
% 165.58/165.94 Found x41 as proof of (cP Xy)
% 165.58/165.94 Found x31:(cP x0)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x31 as proof of (cP Xy)
% 165.58/165.94 Found x61:(cP x0)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x61 as proof of (cP Xy)
% 165.58/165.94 Found x61:(cP x0)
% 165.58/165.94 Instantiate: Xy1:=x0:fofType
% 165.58/165.94 Found x61 as proof of (cP Xy1)
% 165.58/165.94 Found x60:(cP x0)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x60 as proof of (cP Xy)
% 165.58/165.94 Found x22:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=Xy0:fofType
% 165.58/165.94 Found x22 as proof of (cP Xy0)
% 165.58/165.94 Found x30:(cP x0)
% 165.58/165.94 Instantiate: Xy1:=x0:fofType
% 165.58/165.94 Found x30 as proof of (cP Xy1)
% 165.58/165.94 Found x31:(cP x0)
% 165.58/165.94 Instantiate: Xy1:=x0:fofType
% 165.58/165.94 Found x31 as proof of (cP Xy1)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Found x41 as proof of (cP Xy1)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Instantiate: Xy0:=Xy1:fofType
% 165.58/165.94 Found x41 as proof of (cP Xy1)
% 165.58/165.94 Found x21:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=Xy1:fofType
% 165.58/165.94 Found x21 as proof of (cP Xy1)
% 165.58/165.94 Found x21:(cP Xy)
% 165.58/165.94 Found x21 as proof of (cP Xy1)
% 165.58/165.94 Found x21:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=Xy1:fofType
% 165.58/165.94 Found x21 as proof of (cP Xy1)
% 165.58/165.94 Found x21:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=Xy1:fofType
% 165.58/165.94 Found x21 as proof of (cP Xy1)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Instantiate: Xy0:=Xy1:fofType
% 165.58/165.94 Found x41 as proof of (cP Xy1)
% 165.58/165.94 Found x41:(cP Xy0)
% 165.58/165.94 Instantiate: Xy0:=Xy1:fofType
% 165.58/165.94 Found x41 as proof of (cP Xy1)
% 165.58/165.94 Found x60:(cP x0)
% 165.58/165.94 Instantiate: Xy1:=x0:fofType
% 165.58/165.94 Found x60 as proof of (cP Xy1)
% 165.58/165.94 Found x20:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x20 as proof of (cP x0)
% 165.58/165.94 Found x30:(cP x0)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x30 as proof of (cP Xy)
% 165.58/165.94 Found x20:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x20 as proof of (cP x0)
% 165.58/165.94 Found x00:=(x0 x1):(cP x1)
% 165.58/165.94 Found (x0 x1) as proof of (cP x1)
% 165.58/165.94 Found (x0 x1) as proof of (cP x1)
% 165.58/165.94 Found x20:(cP Xy)
% 165.58/165.94 Instantiate: Xy:=x0:fofType
% 165.58/165.94 Found x20 as proof of (cP x0)
% 166.00/166.30 Found x50:(cP Xy1)
% 166.00/166.30 Instantiate: Xy1:=x0:fofType
% 166.00/166.30 Found x50 as proof of (cP x0)
% 166.00/166.30 Found x50:(cP Xy1)
% 166.00/166.30 Instantiate: Xy1:=x0:fofType
% 166.00/166.30 Found x50 as proof of (cP x0)
% 166.00/166.30 Found x41:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x41 as proof of (cP Xy1)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy)
% 166.00/166.30 Found x30:=(x3 x40):(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy:fofType
% 166.00/166.30 Found (x3 x40) as proof of (cP Xy)
% 166.00/166.30 Found (x3 x40) as proof of (cP Xy)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy1:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy1)
% 166.00/166.30 Found x60:(cP x0)
% 166.00/166.30 Instantiate: Xy1:=x0:fofType
% 166.00/166.30 Found x60 as proof of (cP Xy1)
% 166.00/166.30 Found x60:(cP x0)
% 166.00/166.30 Found x60 as proof of (cP x0)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy1:=Xy:fofType
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Found x20 as proof of (cP Xy1)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy0:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy0)
% 166.00/166.30 Found x20:=(x2 x32):(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy0:fofType
% 166.00/166.30 Found (x2 x32) as proof of (cP Xy0)
% 166.00/166.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (cP Xy0)
% 166.00/166.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 166.00/166.30 Found x50:=(x5 x32):(cP Xy1)
% 166.00/166.30 Instantiate: Xy1:=Xy0:fofType
% 166.00/166.30 Found (x5 x32) as proof of (cP Xy0)
% 166.00/166.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (cP Xy0)
% 166.00/166.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy0:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy0)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x21 as proof of (cP x0)
% 166.00/166.30 Found x51:(cP Xy1)
% 166.00/166.30 Instantiate: Xy1:=x0:fofType
% 166.00/166.30 Found x51 as proof of (cP x0)
% 166.00/166.30 Found x60:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x60 as proof of (cP Xy)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x21 as proof of (cP x0)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Found x30 as proof of (cP x0)
% 166.00/166.30 Found x51:(cP Xy1)
% 166.00/166.30 Instantiate: Xy1:=x0:fofType
% 166.00/166.30 Found x51 as proof of (cP x0)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x20 as proof of (cP x0)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy)
% 166.00/166.30 Found x51:(cP Xy1)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x51 as proof of (cP Xy)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy0:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy0)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy)
% 166.00/166.30 Found x30:(cP x0)
% 166.00/166.30 Instantiate: Xy0:=x0:fofType
% 166.00/166.30 Found x30 as proof of (cP Xy0)
% 166.00/166.30 Found x41:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x41 as proof of (cP Xy1)
% 166.00/166.30 Found x41:(cP Xy0)
% 166.00/166.30 Found x41 as proof of (cP Xy1)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x20 as proof of (cP Xy1)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Found x20 as proof of (cP Xy1)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x20 as proof of (cP Xy1)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x41:(cP Xy0)
% 166.00/166.30 Found x41 as proof of (cP Xy1)
% 166.00/166.30 Found x41:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x41 as proof of (cP Xy1)
% 166.00/166.30 Found x40:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x40 as proof of (cP Xy1)
% 166.00/166.30 Found x40:(cP Xy0)
% 166.00/166.30 Found x40 as proof of (cP Xy1)
% 166.00/166.30 Found x40:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x40 as proof of (cP Xy1)
% 166.00/166.30 Found x40:(cP Xy0)
% 166.00/166.30 Found x40 as proof of (cP Xy1)
% 166.00/166.30 Found x41:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x41 as proof of (cP Xy1)
% 166.00/166.30 Found x21:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x21 as proof of (cP Xy1)
% 166.00/166.30 Found x40:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x40 as proof of (cP Xy1)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x20 as proof of (cP Xy1)
% 166.00/166.30 Found x20:(cP Xy)
% 166.00/166.30 Instantiate: Xy:=Xy1:fofType
% 166.00/166.30 Found x20 as proof of (cP Xy1)
% 166.00/166.30 Found x40:(cP Xy0)
% 166.00/166.30 Instantiate: Xy0:=Xy1:fofType
% 166.00/166.30 Found x40 as proof of (cP Xy1)
% 166.83/167.15 Found x41:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=Xy1:fofType
% 166.83/167.15 Found x41 as proof of (cP Xy1)
% 166.83/167.15 Found x21:(cP Xy)
% 166.83/167.15 Instantiate: Xy:=Xy1:fofType
% 166.83/167.15 Found x21 as proof of (cP Xy1)
% 166.83/167.15 Found x20:=(x2 x30):(cP Xy)
% 166.83/167.15 Instantiate: Xy:=Xy0:fofType
% 166.83/167.15 Found (x2 x30) as proof of (cP Xy0)
% 166.83/167.15 Found (fun (x8:(cP x7))=> (x2 x30)) as proof of (cP Xy0)
% 166.83/167.15 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of ((cP x7)->(cP Xy0))
% 166.83/167.15 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 166.83/167.15 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 166.83/167.15 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 166.83/167.15 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30))) as proof of (cP Xy0)
% 166.83/167.15 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)))) as proof of (cP Xy0)
% 166.83/167.15 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 166.83/167.15 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x30)))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 166.83/167.15 Found x50:(cP Xy1)
% 166.83/167.15 Instantiate: Xy:=Xy1:fofType
% 166.83/167.15 Found x50 as proof of (cP Xy)
% 166.83/167.15 Found x20:(cP Xy)
% 166.83/167.15 Instantiate: Xy1:=Xy:fofType
% 166.83/167.15 Found x20 as proof of (cP Xy1)
% 166.83/167.15 Found x20:(cP Xy)
% 166.83/167.15 Instantiate: Xy:=x0:fofType
% 166.83/167.15 Found x20 as proof of (cP x0)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x30:(cP x0)
% 166.83/167.15 Instantiate: Xy:=x0:fofType
% 166.83/167.15 Found x30 as proof of (cP Xy)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x30:(cP x0)
% 166.83/167.15 Instantiate: Xy:=x0:fofType
% 166.83/167.15 Found x30 as proof of (cP Xy)
% 166.83/167.15 Found x20:(cP Xy)
% 166.83/167.15 Instantiate: Xy:=x0:fofType
% 166.83/167.15 Found x20 as proof of (cP x0)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x13:(cP x9)
% 166.83/167.15 Instantiate: Xy:=x9:fofType
% 166.83/167.15 Found x13 as proof of (cP Xy)
% 166.83/167.15 Found (x3 x13) as proof of (cP x0)
% 166.83/167.15 Found (x3 x13) as proof of (cP x0)
% 166.83/167.15 Found (x7 (x3 x13)) as proof of (cP Xy1)
% 166.83/167.15 Found (x7 (x3 x13)) as proof of (cP Xy1)
% 166.83/167.15 Found (fun (x13:(cP x9))=> (x7 (x3 x13))) as proof of (cP Xy1)
% 166.83/167.15 Found x13:(cP x9)
% 166.83/167.15 Instantiate: Xy2:=x9:fofType
% 166.83/167.15 Found x13 as proof of (cP Xy2)
% 166.83/167.15 Found (x8 x13) as proof of (cP x0)
% 166.83/167.15 Found (x8 x13) as proof of (cP x0)
% 166.83/167.15 Found (x2 (x8 x13)) as proof of (cP Xy1)
% 166.83/167.15 Found (x2 (x8 x13)) as proof of (cP Xy1)
% 166.83/167.15 Found (fun (x13:(cP x9))=> (x2 (x8 x13))) as proof of (cP Xy1)
% 166.83/167.15 Found x13:(cP x9)
% 166.83/167.15 Instantiate: Xy:=x9:fofType
% 166.83/167.15 Found x13 as proof of (cP Xy)
% 166.83/167.15 Found (x3 x13) as proof of (cP x0)
% 166.83/167.15 Found (x3 x13) as proof of (cP x0)
% 166.83/167.15 Found (x4 (x3 x13)) as proof of (cP Xy1)
% 166.83/167.15 Found (x4 (x3 x13)) as proof of (cP Xy1)
% 166.83/167.15 Found (fun (x13:(cP x9))=> (x4 (x3 x13))) as proof of (cP Xy1)
% 166.83/167.15 Found x40:(cP Xy0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x40 as proof of (cP x0)
% 166.83/167.15 Found x21:(cP Xy)
% 166.83/167.15 Instantiate: Xy:=x0:fofType
% 166.83/167.15 Found x21 as proof of (cP x0)
% 166.83/167.15 Found x20:(cP Xy)
% 166.83/167.15 Instantiate: Xy0:=Xy:fofType
% 166.83/167.15 Found x20 as proof of (cP Xy0)
% 166.83/167.15 Found x31:(cP x0)
% 166.83/167.15 Instantiate: Xy:=x0:fofType
% 166.83/167.15 Found x31 as proof of (cP Xy)
% 166.83/167.15 Found x31:(cP x0)
% 166.83/167.15 Instantiate: Xy0:=x0:fofType
% 166.83/167.15 Found x31 as proof of (cP Xy0)
% 166.83/167.15 Found x20:(cP Xy)
% 166.83/167.15 Instantiate: Xy0:=Xy:fofType
% 166.83/167.15 Found x20 as proof of (cP Xy0)
% 166.83/167.15 Found x20:(cP Xy)
% 166.83/167.15 Instantiate: Xy0:=Xy:fofType
% 166.83/167.15 Found x20 as proof of (cP Xy0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Found x20 as proof of (cP Xy)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy0:=Xy:fofType
% 167.99/168.33 Found x20 as proof of (cP Xy0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x21:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x21 as proof of (cP x0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Found x20 as proof of (cP Xy)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=Xy1:fofType
% 167.99/168.33 Found x20 as proof of (cP Xy1)
% 167.99/168.33 Found x50:=(x5 x32):(cP Xy1)
% 167.99/168.33 Instantiate: Xy1:=Xy0:fofType
% 167.99/168.33 Found (x5 x32) as proof of (cP Xy0)
% 167.99/168.33 Found (x5 x32) as proof of (cP Xy0)
% 167.99/168.33 Found x20:=(x2 x32):(cP Xy)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found (x2 x32) as proof of (cP Xy0)
% 167.99/168.33 Found (x2 x32) as proof of (cP Xy0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found x40 as proof of (cP Xy)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=Xy1:fofType
% 167.99/168.33 Found x40 as proof of (cP Xy1)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Found x40 as proof of (cP Xy0)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found x20 as proof of (cP Xy0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found x40 as proof of (cP Xy)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Found x40 as proof of (cP Xy0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found x40 as proof of (cP Xy)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found x40 as proof of (cP Xy)
% 167.99/168.33 Found x20:=(x2 x60):(cP Xy)
% 167.99/168.33 Instantiate: Xy:=Xy0:fofType
% 167.99/168.33 Found (x2 x60) as proof of (cP Xy0)
% 167.99/168.33 Found (x2 x60) as proof of (cP Xy0)
% 167.99/168.33 Found x50:=(x5 x60):(cP Xy1)
% 167.99/168.33 Instantiate: Xy1:=Xy0:fofType
% 167.99/168.33 Found (x5 x60) as proof of (cP Xy0)
% 167.99/168.33 Found (x5 x60) as proof of (cP Xy0)
% 167.99/168.33 Found x70:(cP Xy2)
% 167.99/168.33 Instantiate: Xy2:=Xy1:fofType
% 167.99/168.33 Found x70 as proof of (cP Xy1)
% 167.99/168.33 Found x6:(cP x5)
% 167.99/168.33 Instantiate: Xy:=x5:fofType
% 167.99/168.33 Found x6 as proof of (cP Xy)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x40:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x40 as proof of (cP x0)
% 167.99/168.33 Found x20:=(x2 x30):(cP Xy)
% 167.99/168.33 Found (x2 x30) as proof of (cP Xy0)
% 167.99/168.33 Found (x2 x30) as proof of (cP Xy0)
% 167.99/168.33 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 167.99/168.33 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 167.99/168.33 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 167.99/168.33 Found x30:(cP x0)
% 167.99/168.33 Found x30 as proof of (cP x0)
% 167.99/168.33 Found (x2 x30) as proof of (cP Xy0)
% 167.99/168.33 Found (x2 x30) as proof of (cP Xy0)
% 167.99/168.33 Found x30:(cP x0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x30 as proof of (cP Xy0)
% 167.99/168.33 Found x21:(cP Xy)
% 167.99/168.33 Instantiate: Xy0:=Xy:fofType
% 167.99/168.33 Found x21 as proof of (cP Xy0)
% 167.99/168.33 Found x21:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x21 as proof of (cP x0)
% 167.99/168.33 Found x30:(cP x0)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x30 as proof of (cP Xy)
% 167.99/168.33 Found x21:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x21 as proof of (cP x0)
% 167.99/168.33 Found x41:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=Xy1:fofType
% 167.99/168.33 Found x41 as proof of (cP Xy1)
% 167.99/168.33 Found x21:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=Xy1:fofType
% 167.99/168.33 Found x21 as proof of (cP Xy1)
% 167.99/168.33 Found x21:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=Xy1:fofType
% 167.99/168.33 Found x21 as proof of (cP Xy1)
% 167.99/168.33 Found x41:(cP Xy0)
% 167.99/168.33 Instantiate: Xy0:=Xy1:fofType
% 167.99/168.33 Found x41 as proof of (cP Xy1)
% 167.99/168.33 Found x30:(cP x0)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x30 as proof of (cP Xy)
% 167.99/168.33 Found x20:(cP Xy)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 167.99/168.33 Found x20 as proof of (cP x0)
% 167.99/168.33 Found x30:(cP x0)
% 167.99/168.33 Instantiate: Xy0:=x0:fofType
% 167.99/168.33 Found x30 as proof of (cP Xy0)
% 167.99/168.33 Found x30:(cP x0)
% 167.99/168.33 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy0)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy0)
% 168.69/168.99 Found x31:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x31 as proof of (cP Xy0)
% 168.69/168.99 Found x50:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x50 as proof of (cP Xy)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy)
% 168.69/168.99 Found x51:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x51 as proof of (cP Xy0)
% 168.69/168.99 Found x20:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x20 as proof of (cP x0)
% 168.69/168.99 Found x20:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x20 as proof of (cP x0)
% 168.69/168.99 Found x31:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x31 as proof of (cP Xy)
% 168.69/168.99 Found x51:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x51 as proof of (cP Xy)
% 168.69/168.99 Found x50:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x50 as proof of (cP Xy0)
% 168.69/168.99 Found x20:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x20 as proof of (cP x0)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x40 as proof of (cP x0)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x40 as proof of (cP x0)
% 168.69/168.99 Found x20:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x20 as proof of (cP x0)
% 168.69/168.99 Found x20:=(x2 x30):(cP Xy)
% 168.69/168.99 Found (x2 x30) as proof of (cP Xy0)
% 168.69/168.99 Found (x2 x30) as proof of (cP Xy0)
% 168.69/168.99 Found x41:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found x41 as proof of (cP Xy1)
% 168.69/168.99 Found x21:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found x21 as proof of (cP Xy1)
% 168.69/168.99 Found x21:(cP Xy)
% 168.69/168.99 Instantiate: Xy0:=Xy:fofType
% 168.69/168.99 Found x21 as proof of (cP Xy0)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found x40 as proof of (cP Xy1)
% 168.69/168.99 Found x31:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x31 as proof of (cP Xy0)
% 168.69/168.99 Found x51:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x51 as proof of (cP Xy0)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy)
% 168.69/168.99 Found x30:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x30 as proof of (cP Xy0)
% 168.69/168.99 Found x50:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x50 as proof of (cP Xy)
% 168.69/168.99 Found x31:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x31 as proof of (cP Xy)
% 168.69/168.99 Found x51:(cP x0)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x51 as proof of (cP Xy)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x40 as proof of (cP x0)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x40 as proof of (cP x0)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x40 as proof of (cP x0)
% 168.69/168.99 Found x21:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x21 as proof of (cP x0)
% 168.69/168.99 Found x50:(cP x0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x50 as proof of (cP Xy0)
% 168.69/168.99 Found x41:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found x41 as proof of (cP Xy1)
% 168.69/168.99 Found x40:(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=x0:fofType
% 168.69/168.99 Found x40 as proof of (cP x0)
% 168.69/168.99 Found x20:(cP Xy)
% 168.69/168.99 Instantiate: Xy:=x0:fofType
% 168.69/168.99 Found x20 as proof of (cP x0)
% 168.69/168.99 Found x40:=(x4 x30):(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found (x4 x30) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x30):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found (x2 x30) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x31):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found (x2 x31) as proof of (cP Xy1)
% 168.69/168.99 Found x40:=(x4 x31):(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found (x4 x31) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x31):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found (x2 x31) as proof of (cP Xy1)
% 168.69/168.99 Found x40:=(x4 x31):(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found (x4 x31) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x32):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found (x2 x32) as proof of (cP Xy1)
% 168.69/168.99 Found x40:=(x4 x32):(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found (x4 x32) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x52):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found (x2 x52) as proof of (cP Xy1)
% 168.69/168.99 Found x40:=(x4 x52):(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found (x4 x52) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x51):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 168.69/168.99 Found (x2 x51) as proof of (cP Xy1)
% 168.69/168.99 Found x40:=(x4 x51):(cP Xy0)
% 168.69/168.99 Instantiate: Xy0:=Xy1:fofType
% 168.69/168.99 Found (x4 x51) as proof of (cP Xy1)
% 168.69/168.99 Found x20:=(x2 x51):(cP Xy)
% 168.69/168.99 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found (x2 x51) as proof of (cP Xy1)
% 169.97/170.30 Found x40:=(x4 x51):(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found (x4 x51) as proof of (cP Xy1)
% 169.97/170.30 Found x20:=(x2 x50):(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found (x2 x50) as proof of (cP Xy1)
% 169.97/170.30 Found x40:=(x4 x50):(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found (x4 x50) as proof of (cP Xy1)
% 169.97/170.30 Found x40:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x40 as proof of (cP Xy1)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x20 as proof of (cP Xy1)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x20 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x30:=(x3 x40):(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy:fofType
% 169.97/170.30 Found (x3 x40) as proof of (cP Xy)
% 169.97/170.30 Found (x3 x40) as proof of (cP Xy)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x21 as proof of (cP x0)
% 169.97/170.30 Found x22:(cP Xy)
% 169.97/170.30 Found x22 as proof of (cP Xy0)
% 169.97/170.30 Found x40:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x40 as proof of (cP x0)
% 169.97/170.30 Found x40:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x40 as proof of (cP x0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy0:=Xy:fofType
% 169.97/170.30 Found x20 as proof of (cP Xy0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x30:(cP x0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x30 as proof of (cP Xy0)
% 169.97/170.30 Found x50:(cP x0)
% 169.97/170.30 Found x50 as proof of (cP x0)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x41 as proof of (cP x0)
% 169.97/170.30 Found x30:(cP x0)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x30 as proof of (cP Xy)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x41 as proof of (cP x0)
% 169.97/170.30 Found x50:(cP x0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x50 as proof of (cP Xy0)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy:=Xy0:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy)
% 169.97/170.30 Found x30:(cP x0)
% 169.97/170.30 Found x30 as proof of (cP x0)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x21 as proof of (cP x0)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x21 as proof of (cP x0)
% 169.97/170.30 Found x50:(cP x0)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x50 as proof of (cP Xy)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy0:=Xy:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy0)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x21:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=Xy1:fofType
% 169.97/170.30 Found x21 as proof of (cP Xy1)
% 169.97/170.30 Found x41:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=Xy1:fofType
% 169.97/170.30 Found x41 as proof of (cP Xy1)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x40:(cP Xy0)
% 169.97/170.30 Instantiate: Xy0:=x0:fofType
% 169.97/170.30 Found x40 as proof of (cP x0)
% 169.97/170.30 Found x40:(cP Xy0)
% 169.97/170.30 Found x40 as proof of (cP Xy0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy0:=Xy:fofType
% 169.97/170.30 Found x20 as proof of (cP Xy0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Found x20 as proof of (cP Xy)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy0:=Xy:fofType
% 169.97/170.30 Found x20 as proof of (cP Xy0)
% 169.97/170.30 Found x40:(cP Xy0)
% 169.97/170.30 Instantiate: Xy:=Xy0:fofType
% 169.97/170.30 Found x40 as proof of (cP Xy)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 169.97/170.30 Found x20:(cP Xy)
% 169.97/170.30 Instantiate: Xy:=x0:fofType
% 169.97/170.30 Found x20 as proof of (cP x0)
% 170.89/171.20 Found x31:(cP x0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x31 as proof of (cP Xy0)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x20:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x20 as proof of (cP x0)
% 170.89/171.20 Found x50:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x50 as proof of (cP Xy)
% 170.89/171.20 Found x50:(cP x0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x50 as proof of (cP Xy0)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy:=Xy0:fofType
% 170.89/171.20 Found x40 as proof of (cP Xy)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x31:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x31 as proof of (cP Xy)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x21 as proof of (cP x0)
% 170.89/171.20 Found x41:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x41 as proof of (cP x0)
% 170.89/171.20 Found x50:(cP x0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x50 as proof of (cP Xy0)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x21 as proof of (cP x0)
% 170.89/171.20 Found x30:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x30 as proof of (cP Xy)
% 170.89/171.20 Found x50:(cP x0)
% 170.89/171.20 Found x50 as proof of (cP x0)
% 170.89/171.20 Found x30:(cP x0)
% 170.89/171.20 Found x30 as proof of (cP x0)
% 170.89/171.20 Found x41:(cP Xy0)
% 170.89/171.20 Instantiate: Xy:=Xy0:fofType
% 170.89/171.20 Found x41 as proof of (cP Xy)
% 170.89/171.20 Found x30:(cP x0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x30 as proof of (cP Xy0)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x21 as proof of (cP x0)
% 170.89/171.20 Found x41:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x41 as proof of (cP x0)
% 170.89/171.20 Found x50:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x50 as proof of (cP Xy)
% 170.89/171.20 Found x40:=(x4 x30):(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=Xy1:fofType
% 170.89/171.20 Found (x4 x30) as proof of (cP Xy1)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=Xy1:fofType
% 170.89/171.20 Found x21 as proof of (cP Xy1)
% 170.89/171.20 Found x40:=(x4 x51):(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=Xy1:fofType
% 170.89/171.20 Found (x4 x51) as proof of (cP Xy1)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=Xy1:fofType
% 170.89/171.20 Found x21 as proof of (cP Xy1)
% 170.89/171.20 Found x41:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=Xy1:fofType
% 170.89/171.20 Found x41 as proof of (cP Xy1)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=Xy1:fofType
% 170.89/171.20 Found x40 as proof of (cP Xy1)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=Xy1:fofType
% 170.89/171.20 Found x40 as proof of (cP Xy1)
% 170.89/171.20 Found x41:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=Xy1:fofType
% 170.89/171.20 Found x41 as proof of (cP Xy1)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x31:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x31 as proof of (cP Xy)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x21 as proof of (cP x0)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy0:=Xy:fofType
% 170.89/171.20 Found x21 as proof of (cP Xy0)
% 170.89/171.20 Found x20:(cP Xy)
% 170.89/171.20 Instantiate: Xy0:=Xy:fofType
% 170.89/171.20 Found x20 as proof of (cP Xy0)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x21 as proof of (cP x0)
% 170.89/171.20 Found x21:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x21 as proof of (cP x0)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x40:(cP Xy0)
% 170.89/171.20 Instantiate: Xy0:=x0:fofType
% 170.89/171.20 Found x40 as proof of (cP x0)
% 170.89/171.20 Found x20:(cP Xy)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x20 as proof of (cP x0)
% 170.89/171.20 Found x30:(cP x0)
% 170.89/171.20 Found x30 as proof of (cP x0)
% 170.89/171.20 Found (x2 x30) as proof of (cP Xy0)
% 170.89/171.20 Found (x2 x30) as proof of (cP Xy0)
% 170.89/171.20 Found x50:(cP x0)
% 170.89/171.20 Found x50 as proof of (cP x0)
% 170.89/171.20 Found x31:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x31 as proof of (cP Xy)
% 170.89/171.20 Found x42:(cP Xy0)
% 170.89/171.20 Instantiate: Xy:=Xy0:fofType
% 170.89/171.20 Found (fun (x5:((cP Xy0)->(cP x0)))=> x42) as proof of (cP Xy)
% 170.89/171.20 Found (fun (x5:((cP Xy0)->(cP x0)))=> x42) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 170.89/171.20 Found x20:=(x2 x30):(cP Xy)
% 170.89/171.20 Found (x2 x30) as proof of (cP Xy0)
% 170.89/171.20 Found (x2 x30) as proof of (cP Xy0)
% 170.89/171.20 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 170.89/171.20 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 170.89/171.20 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 170.89/171.20 Found x60:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x60 as proof of (cP Xy)
% 170.89/171.20 Found x30:(cP x0)
% 170.89/171.20 Instantiate: Xy:=x0:fofType
% 170.89/171.20 Found x30 as proof of (cP Xy)
% 171.51/171.85 Found x60:(cP x0)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x60 as proof of (cP Xy)
% 171.51/171.85 Found x50:(cP x0)
% 171.51/171.85 Instantiate: Xy0:=x0:fofType
% 171.51/171.85 Found x50 as proof of (cP Xy0)
% 171.51/171.85 Found x30:(cP x0)
% 171.51/171.85 Instantiate: Xy1:=x0:fofType
% 171.51/171.85 Found x30 as proof of (cP Xy1)
% 171.51/171.85 Found x50:(cP x0)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x50 as proof of (cP Xy)
% 171.51/171.85 Found x21:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x21 as proof of (cP x0)
% 171.51/171.85 Found x50:(cP x0)
% 171.51/171.85 Instantiate: Xy0:=x0:fofType
% 171.51/171.85 Found x50 as proof of (cP Xy0)
% 171.51/171.85 Found x30:(cP x0)
% 171.51/171.85 Instantiate: Xy1:=x0:fofType
% 171.51/171.85 Found x30 as proof of (cP Xy1)
% 171.51/171.85 Found x21:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x21 as proof of (cP x0)
% 171.51/171.85 Found x21:(cP Xy)
% 171.51/171.85 Instantiate: Xy0:=Xy:fofType
% 171.51/171.85 Found x21 as proof of (cP Xy0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 171.51/171.85 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 171.51/171.85 Found x40:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=x0:fofType
% 171.51/171.85 Found x40 as proof of (cP x0)
% 171.51/171.85 Found x41:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=Xy1:fofType
% 171.51/171.85 Found x41 as proof of (cP Xy1)
% 171.51/171.85 Found x21:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=Xy1:fofType
% 171.51/171.85 Found x21 as proof of (cP Xy1)
% 171.51/171.85 Found x21:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=Xy1:fofType
% 171.51/171.85 Found x21 as proof of (cP Xy1)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x40:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=x0:fofType
% 171.51/171.85 Found x40 as proof of (cP x0)
% 171.51/171.85 Found x41:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=Xy1:fofType
% 171.51/171.85 Found x41 as proof of (cP Xy1)
% 171.51/171.85 Found x30:(cP x0)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x30 as proof of (cP Xy)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy0:=Xy:fofType
% 171.51/171.85 Found x20 as proof of (cP Xy0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=Xy0:fofType
% 171.51/171.85 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 171.51/171.85 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 171.51/171.85 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 171.51/171.85 Found x21:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=Xy1:fofType
% 171.51/171.85 Found x21 as proof of (cP Xy1)
% 171.51/171.85 Found x40:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=x0:fofType
% 171.51/171.85 Found x40 as proof of (cP x0)
% 171.51/171.85 Found x40:(cP Xy0)
% 171.51/171.85 Instantiate: Xy:=Xy0:fofType
% 171.51/171.85 Found x40 as proof of (cP Xy)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x41:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=Xy1:fofType
% 171.51/171.85 Found x41 as proof of (cP Xy1)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy0:=Xy:fofType
% 171.51/171.85 Found x20 as proof of (cP Xy0)
% 171.51/171.85 Found x40:(cP Xy0)
% 171.51/171.85 Instantiate: Xy:=Xy0:fofType
% 171.51/171.85 Found x40 as proof of (cP Xy)
% 171.51/171.85 Found x30:(cP x0)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x30 as proof of (cP Xy)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x40:(cP Xy0)
% 171.51/171.85 Instantiate: Xy0:=x0:fofType
% 171.51/171.85 Found x40 as proof of (cP x0)
% 171.51/171.85 Found x20:(cP Xy)
% 171.51/171.85 Instantiate: Xy:=x0:fofType
% 171.51/171.85 Found x20 as proof of (cP x0)
% 171.51/171.85 Found x13:(cP x9)
% 171.51/171.85 Instantiate: Xy0:=x9:fofType
% 171.51/171.85 Found x13 as proof of (cP Xy0)
% 171.51/171.85 Found (x5 x13) as proof of (cP x0)
% 171.51/171.85 Found (fun (x13:(cP x9))=> (x5 x13)) as proof of (cP x0)
% 171.51/171.85 Found x13:(cP x9)
% 171.51/171.85 Instantiate: Xy:=x9:fofType
% 171.51/171.85 Found x13 as proof of (cP Xy)
% 171.51/171.85 Found (x3 x13) as proof of (cP x0)
% 171.51/171.85 Found (fun (x13:(cP x9))=> (x3 x13)) as proof of (cP x0)
% 171.51/171.85 Found x13:(cP x9)
% 171.51/171.85 Instantiate: Xy2:=x9:fofType
% 171.51/171.85 Found x13 as proof of (cP Xy2)
% 171.51/171.85 Found (x8 x13) as proof of (cP x0)
% 171.51/171.85 Found (fun (x13:(cP x9))=> (x8 x13)) as proof of (cP x0)
% 171.51/171.85 Found x13:(cP x9)
% 171.51/171.85 Instantiate: Xy:=x9:fofType
% 171.51/171.85 Found x13 as proof of (cP Xy)
% 171.51/171.85 Found (x3 x13) as proof of (cP x0)
% 171.51/171.85 Found (fun (x13:(cP x9))=> (x3 x13)) as proof of (cP x0)
% 171.51/171.85 Found x8:(cP x7)
% 171.51/171.85 Instantiate: Xy0:=x7:fofType
% 171.51/171.85 Found x8 as proof of (cP Xy0)
% 171.51/171.85 Found (x5 x8) as proof of (cP x0)
% 171.51/171.85 Found (fun (x13:((cP Xy2)->(cP x0)))=> (x5 x8)) as proof of (cP x0)
% 171.51/171.85 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 x8)) as proof of (((cP Xy2)->(cP x0))->(cP x0))
% 171.51/171.85 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 x8)) as proof of (((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->(cP x0)))
% 171.60/171.94 Found (and_rect20 (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 x8))) as proof of (cP x0)
% 171.60/171.94 Found ((and_rect2 (cP x0)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 x8))) as proof of (cP x0)
% 171.60/171.94 Found (((fun (P:Type) (x9:(((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy2))) ((cP Xy2)->(cP x0))) P) x9) x12)) (cP x0)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 x8))) as proof of (cP x0)
% 171.60/171.94 Found x8:(cP x7)
% 171.60/171.94 Instantiate: Xy2:=x7:fofType
% 171.60/171.94 Found x8 as proof of (cP Xy2)
% 171.60/171.94 Found (x13 x8) as proof of (cP x0)
% 171.60/171.94 Found (fun (x13:((cP Xy2)->(cP x0)))=> (x13 x8)) as proof of (cP x0)
% 171.60/171.94 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x13 x8)) as proof of (((cP Xy2)->(cP x0))->(cP x0))
% 171.60/171.94 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x13 x8)) as proof of (((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->(cP x0)))
% 171.60/171.94 Found (and_rect20 (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x13 x8))) as proof of (cP x0)
% 171.60/171.94 Found ((and_rect2 (cP x0)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x13 x8))) as proof of (cP x0)
% 171.60/171.94 Found (((fun (P:Type) (x9:(((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy2))) ((cP Xy2)->(cP x0))) P) x9) x12)) (cP x0)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x13 x8))) as proof of (cP x0)
% 171.60/171.94 Found (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8))) as proof of (cP x0)
% 171.60/171.94 Found (fun (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8)))) as proof of (cP x0)
% 171.60/171.94 Found (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8)))) as proof of ((cP x7)->(cP x0))
% 171.60/171.94 Found (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 171.60/171.94 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8))))) as proof of (cP x0)
% 171.60/171.94 Found ((ex_ind1 (cP x0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8))))) as proof of (cP x0)
% 171.60/171.94 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP x0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8))))) as proof of (cP x0)
% 171.60/171.94 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP x0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8))))) as proof of (cP x0)
% 171.60/171.94 Found (x4 (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP x0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8)))))) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x6)) (cP x0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP x0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x13 x8)))))) as proof of (cP Xy1)
% 172.01/172.33 Found x13:(cP x9)
% 172.01/172.33 Instantiate: Xy2:=x9:fofType
% 172.01/172.33 Found x13 as proof of (cP Xy2)
% 172.01/172.33 Found (x8 x13) as proof of (cP x0)
% 172.01/172.33 Found (fun (x13:(cP x9))=> (x8 x13)) as proof of (cP x0)
% 172.01/172.33 Found x13:(cP x9)
% 172.01/172.33 Instantiate: Xy0:=x9:fofType
% 172.01/172.33 Found x13 as proof of (cP Xy0)
% 172.01/172.33 Found (x5 x13) as proof of (cP x0)
% 172.01/172.33 Found (fun (x13:(cP x9))=> (x5 x13)) as proof of (cP x0)
% 172.01/172.33 Found x20:(cP Xy)
% 172.01/172.33 Instantiate: Xy:=Xy1:fofType
% 172.01/172.33 Found x20 as proof of (cP Xy1)
% 172.01/172.33 Found x23:(cP Xy)
% 172.01/172.33 Instantiate: Xy:=x0:fofType
% 172.01/172.33 Found x23 as proof of (cP x0)
% 172.01/172.33 Found x20:(cP Xy)
% 172.01/172.33 Instantiate: Xy:=Xy1:fofType
% 172.01/172.33 Found x20 as proof of (cP Xy1)
% 172.01/172.33 Found x41:(cP Xy0)
% 172.01/172.33 Instantiate: Xy0:=Xy1:fofType
% 172.01/172.33 Found x41 as proof of (cP Xy1)
% 172.01/172.33 Found x21:(cP Xy)
% 172.01/172.33 Instantiate: Xy:=Xy1:fofType
% 172.01/172.33 Found x21 as proof of (cP Xy1)
% 172.01/172.33 Found x41:(cP Xy0)
% 172.01/172.33 Instantiate: Xy0:=Xy1:fofType
% 172.01/172.33 Found x41 as proof of (cP Xy1)
% 172.01/172.33 Found x40:(cP Xy0)
% 172.01/172.33 Instantiate: Xy0:=Xy1:fofType
% 172.01/172.33 Found x40 as proof of (cP Xy1)
% 172.01/172.33 Found x40:(cP Xy0)
% 172.01/172.33 Instantiate: Xy0:=Xy1:fofType
% 172.01/172.33 Found x40 as proof of (cP Xy1)
% 172.01/172.33 Found x21:(cP Xy)
% 172.01/172.33 Instantiate: Xy:=Xy1:fofType
% 172.01/172.33 Found x21 as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x31):(cP Xy0)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x51):(cP Xy)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x31):(cP Xy)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x31):(cP Xy)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x30:(cP x0)
% 172.01/172.33 Found x30 as proof of (cP x0)
% 172.01/172.33 Found (x2 x30) as proof of (cP Xy0)
% 172.01/172.33 Found (x2 x30) as proof of (cP Xy0)
% 172.01/172.33 Found (x2 x30) as proof of (cP Xy0)
% 172.01/172.33 Found x40:=(x4 x31):(cP Xy0)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x31):(cP Xy)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x31):(cP Xy0)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x51):(cP Xy0)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x51):(cP Xy)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x31):(cP Xy)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x31):(cP Xy0)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x31) as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x51):(cP Xy0)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x51):(cP Xy)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x51):(cP Xy0)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x40:=(x4 x51):(cP Xy0)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x4 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x20:=(x2 x51):(cP Xy)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found (x2 x51) as proof of (cP Xy1)
% 172.01/172.33 Found x30:(cP x0)
% 172.01/172.33 Found x30 as proof of (cP x0)
% 172.01/172.33 Found (x2 x30) as proof of (cP Xy0)
% 172.01/172.33 Found (x2 x30) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x31):(cP Xy)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x22:(cP Xy)
% 172.21/172.54 Instantiate: Xy:=Xy0:fofType
% 172.21/172.54 Found x22 as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x60):(cP Xy1)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x50:=(x5 x31):(cP Xy1)
% 172.21/172.54 Found (x5 x31) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x31) as proof of (cP Xy0)
% 172.21/172.54 Found (x5 x31) as proof of (cP Xy0)
% 172.21/172.54 Found x20:=(x2 x31):(cP Xy)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x60):(cP Xy)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found (x2 x60) as proof of (cP Xy0)
% 172.21/172.54 Found x40:=(x4 x51):(cP Xy0)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found x40:=(x4 x31):(cP Xy0)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x40:=(x4 x51):(cP Xy0)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x51):(cP Xy)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found x40:=(x4 x51):(cP Xy0)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x51) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x31):(cP Xy)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x40:=(x4 x31):(cP Xy0)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x51):(cP Xy)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found x40:=(x4 x31):(cP Xy0)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x51):(cP Xy)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x51) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x31):(cP Xy)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x20:=(x2 x31):(cP Xy)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found (x2 x31) as proof of (cP Xy1)
% 172.21/172.54 Found x40:=(x4 x31):(cP Xy0)
% 172.21/172.54 Found (x4 x31) as proof of (cP Xy1)
% 173.13/173.45 Found (x4 x31) as proof of (cP Xy1)
% 173.13/173.45 Found (x4 x31) as proof of (cP Xy1)
% 173.13/173.45 Found x40:=(x4 x51):(cP Xy0)
% 173.13/173.45 Found (x4 x51) as proof of (cP Xy1)
% 173.13/173.45 Found (x4 x51) as proof of (cP Xy1)
% 173.13/173.45 Found (x4 x51) as proof of (cP Xy1)
% 173.13/173.45 Found x20:=(x2 x51):(cP Xy)
% 173.13/173.45 Found (x2 x51) as proof of (cP Xy1)
% 173.13/173.45 Found (x2 x51) as proof of (cP Xy1)
% 173.13/173.45 Found (x2 x51) as proof of (cP Xy1)
% 173.13/173.45 Found x20:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=Xy0:fofType
% 173.13/173.45 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 173.13/173.45 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy)
% 173.13/173.45 Found x31:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x31 as proof of (cP Xy)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x30 as proof of (cP Xy)
% 173.13/173.45 Found x20:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x20 as proof of (cP x0)
% 173.13/173.45 Found x70:(cP Xy2)
% 173.13/173.45 Instantiate: Xy2:=Xy1:fofType
% 173.13/173.45 Found (fun (x8:((cP Xy2)->(cP x0)))=> x70) as proof of (cP Xy1)
% 173.13/173.45 Found (fun (x8:((cP Xy2)->(cP x0)))=> x70) as proof of (((cP Xy2)->(cP x0))->(cP Xy1))
% 173.13/173.45 Found x20:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=Xy1:fofType
% 173.13/173.45 Found (fun (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (cP Xy1)
% 173.13/173.45 Found (fun (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (((cP Xy2)->(cP x0))->(cP Xy1))
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=Xy1:fofType
% 173.13/173.45 Found (fun (x8:((cP Xy2)->(cP x0)))=> x40) as proof of (cP Xy1)
% 173.13/173.45 Found (fun (x8:((cP Xy2)->(cP x0)))=> x40) as proof of (((cP Xy2)->(cP x0))->(cP Xy1))
% 173.13/173.45 Found x20:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x20 as proof of (cP x0)
% 173.13/173.45 Found x20:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x20 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x21:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x21 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x21:(cP Xy)
% 173.13/173.45 Instantiate: Xy:=x0:fofType
% 173.13/173.45 Found x21 as proof of (cP x0)
% 173.13/173.45 Found x20:=(x2 x32):(cP Xy)
% 173.13/173.45 Instantiate: Xy:=Xy0:fofType
% 173.13/173.45 Found (x2 x32) as proof of (cP Xy0)
% 173.13/173.45 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (cP Xy0)
% 173.13/173.45 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 173.13/173.45 Found x50:=(x5 x32):(cP Xy1)
% 173.13/173.45 Instantiate: Xy1:=Xy0:fofType
% 173.13/173.45 Found (x5 x32) as proof of (cP Xy0)
% 173.13/173.45 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (cP Xy0)
% 173.13/173.45 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x40:(cP Xy0)
% 173.13/173.45 Instantiate: Xy0:=x0:fofType
% 173.13/173.45 Found x40 as proof of (cP x0)
% 173.13/173.45 Found x30:(cP x0)
% 173.13/173.45 Found x30 as proof of (cP x0)
% 173.13/173.45 Found (x2 x30) as proof of (cP Xy0)
% 173.13/173.45 Found (x2 x30) as proof of (cP Xy0)
% 173.13/173.45 Found (x2 x30) as proof of (cP Xy0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Found x20 as proof of (cP Xy)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Found x20 as proof of (cP Xy)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Found x40 as proof of (cP Xy0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Found x40 as proof of (cP Xy0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found x40 as proof of (cP Xy)
% 174.32/174.65 Found x13:(cP x9)
% 174.32/174.65 Instantiate: Xy0:=x9:fofType
% 174.32/174.65 Found x13 as proof of (cP Xy0)
% 174.32/174.65 Found (x5 x13) as proof of (cP x0)
% 174.32/174.65 Found (fun (x13:(cP x9))=> (x5 x13)) as proof of (cP x0)
% 174.32/174.65 Found x13:(cP x9)
% 174.32/174.65 Instantiate: Xy2:=x9:fofType
% 174.32/174.65 Found x13 as proof of (cP Xy2)
% 174.32/174.65 Found (x8 x13) as proof of (cP x0)
% 174.32/174.65 Found (fun (x13:(cP x9))=> (x8 x13)) as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found x40 as proof of (cP Xy)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found x40 as proof of (cP Xy)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x30:(cP x0)
% 174.32/174.65 Found x30 as proof of (cP x0)
% 174.32/174.65 Found (x2 x30) as proof of (cP Xy0)
% 174.32/174.65 Found (x2 x30) as proof of (cP Xy0)
% 174.32/174.65 Found x50:(cP x0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x50 as proof of (cP Xy0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found x40 as proof of (cP Xy)
% 174.32/174.65 Found x50:(cP x0)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x50 as proof of (cP Xy)
% 174.32/174.65 Found x31:(cP x0)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x31 as proof of (cP Xy)
% 174.32/174.65 Found x31:(cP x0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x31 as proof of (cP Xy0)
% 174.32/174.65 Found x31:(cP x0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x31 as proof of (cP Xy0)
% 174.32/174.65 Found x30:(cP x0)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x30 as proof of (cP Xy)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 174.32/174.65 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 174.32/174.65 Found x41:(cP Xy0)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (cP Xy)
% 174.32/174.65 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 174.32/174.65 Found x31:(cP x0)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x31 as proof of (cP Xy)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x40 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy:=x0:fofType
% 174.32/174.65 Found x20 as proof of (cP x0)
% 174.32/174.65 Found x20:(cP Xy)
% 174.32/174.65 Instantiate: Xy0:=Xy:fofType
% 174.32/174.65 Found x20 as proof of (cP Xy0)
% 174.32/174.65 Found x40:(cP Xy0)
% 174.32/174.65 Instantiate: Xy:=Xy0:fofType
% 174.32/174.65 Found x40 as proof of (cP Xy)
% 174.32/174.65 Found x30:(cP x0)
% 174.32/174.65 Instantiate: Xy0:=x0:fofType
% 174.32/174.65 Found x30 as proof of (cP Xy0)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x30:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x30 as proof of (cP Xy)
% 175.98/176.28 Found x50:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x50 as proof of (cP Xy0)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 175.98/176.28 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 175.98/176.28 Found x30:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x30 as proof of (cP Xy)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x20 as proof of (cP x0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x21 as proof of (cP x0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x21 as proof of (cP x0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy0:=Xy:fofType
% 175.98/176.28 Found x21 as proof of (cP Xy0)
% 175.98/176.28 Found x6:(cP x5)
% 175.98/176.28 Instantiate: Xy:=x5:fofType
% 175.98/176.28 Found x6 as proof of (cP Xy)
% 175.98/176.28 Found x31:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x31 as proof of (cP Xy0)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy0:=Xy:fofType
% 175.98/176.28 Found x20 as proof of (cP Xy0)
% 175.98/176.28 Found x50:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x50 as proof of (cP Xy)
% 175.98/176.28 Found x31:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x31 as proof of (cP Xy)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x20 as proof of (cP x0)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy:=Xy0:fofType
% 175.98/176.28 Found x40 as proof of (cP Xy)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=Xy0:fofType
% 175.98/176.28 Found x20 as proof of (cP Xy0)
% 175.98/176.28 Found x50:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x50 as proof of (cP Xy0)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x20 as proof of (cP x0)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x20 as proof of (cP x0)
% 175.98/176.28 Found x13:(cP x9)
% 175.98/176.28 Instantiate: Xy:=x9:fofType
% 175.98/176.28 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy)
% 175.98/176.28 Found x13:(cP x9)
% 175.98/176.28 Instantiate: Xy0:=x9:fofType
% 175.98/176.28 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy0)
% 175.98/176.28 Found x13:(cP x9)
% 175.98/176.28 Instantiate: Xy0:=x9:fofType
% 175.98/176.28 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy0)
% 175.98/176.28 Found x13:(cP x9)
% 175.98/176.28 Instantiate: Xy2:=x9:fofType
% 175.98/176.28 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy2)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x13:(cP x9)
% 175.98/176.28 Instantiate: Xy:=x9:fofType
% 175.98/176.28 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy)
% 175.98/176.28 Found x13:(cP x9)
% 175.98/176.28 Instantiate: Xy2:=x9:fofType
% 175.98/176.28 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy2)
% 175.98/176.28 Found x31:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x31 as proof of (cP Xy0)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x30:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x30 as proof of (cP Xy0)
% 175.98/176.28 Found x50:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x50 as proof of (cP Xy)
% 175.98/176.28 Found x31:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x31 as proof of (cP Xy)
% 175.98/176.28 Found x51:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x51 as proof of (cP Xy0)
% 175.98/176.28 Found x51:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x51 as proof of (cP Xy)
% 175.98/176.28 Found x40:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x40 as proof of (cP x0)
% 175.98/176.28 Found x41:(cP Xy0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x41 as proof of (cP x0)
% 175.98/176.28 Found x30:(cP x0)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x30 as proof of (cP Xy)
% 175.98/176.28 Found x20:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x20 as proof of (cP x0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Found x21 as proof of (cP Xy)
% 175.98/176.28 Found x41:(cP Xy0)
% 175.98/176.28 Found x41 as proof of (cP Xy0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=Xy0:fofType
% 175.98/176.28 Found x21 as proof of (cP Xy0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy0:=Xy:fofType
% 175.98/176.28 Found x21 as proof of (cP Xy0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x21 as proof of (cP x0)
% 175.98/176.28 Found x41:(cP Xy0)
% 175.98/176.28 Instantiate: Xy:=Xy0:fofType
% 175.98/176.28 Found x41 as proof of (cP Xy)
% 175.98/176.28 Found x50:(cP x0)
% 175.98/176.28 Instantiate: Xy0:=x0:fofType
% 175.98/176.28 Found x50 as proof of (cP Xy0)
% 175.98/176.28 Found x50:(cP x0)
% 175.98/176.28 Found x50 as proof of (cP x0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy0:=Xy:fofType
% 175.98/176.28 Found x21 as proof of (cP Xy0)
% 175.98/176.28 Found x21:(cP Xy)
% 175.98/176.28 Instantiate: Xy:=x0:fofType
% 175.98/176.28 Found x21 as proof of (cP x0)
% 175.98/176.28 Found x30:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x30 as proof of (cP Xy)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x50 as proof of (cP Xy)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x50 as proof of (cP Xy0)
% 177.33/177.67 Found x51:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x51 as proof of (cP Xy)
% 177.33/177.67 Found x51:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x51 as proof of (cP Xy0)
% 177.33/177.67 Found x21:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x21 as proof of (cP x0)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x50 as proof of (cP Xy0)
% 177.33/177.67 Found x31:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x31 as proof of (cP Xy)
% 177.33/177.67 Found x31:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x31 as proof of (cP Xy0)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x30 as proof of (cP Xy0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x23:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x23 as proof of (cP x0)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x50 as proof of (cP Xy)
% 177.33/177.67 Found x22:(cP Xy)
% 177.33/177.67 Found x22 as proof of (cP Xy0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy0:=Xy:fofType
% 177.33/177.67 Found x20 as proof of (cP Xy0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Found x30 as proof of (cP x0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x40:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x40 as proof of (cP x0)
% 177.33/177.67 Found x40:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x40 as proof of (cP x0)
% 177.33/177.67 Found x40:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x40 as proof of (cP x0)
% 177.33/177.67 Found x41:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x41 as proof of (cP x0)
% 177.33/177.67 Found x41:(cP Xy0)
% 177.33/177.67 Instantiate: Xy:=Xy0:fofType
% 177.33/177.67 Found x41 as proof of (cP Xy)
% 177.33/177.67 Found x41:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x41 as proof of (cP x0)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x30 as proof of (cP Xy)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x30 as proof of (cP Xy0)
% 177.33/177.67 Found x40:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x40 as proof of (cP x0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x31:(cP x0)
% 177.33/177.67 Instantiate: Xy1:=x0:fofType
% 177.33/177.67 Found x31 as proof of (cP Xy1)
% 177.33/177.67 Found x40:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x40 as proof of (cP x0)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Instantiate: Xy1:=x0:fofType
% 177.33/177.67 Found x30 as proof of (cP Xy1)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Found x30 as proof of (cP x0)
% 177.33/177.67 Found (x2 x30) as proof of (cP Xy0)
% 177.33/177.67 Found (x2 x30) as proof of (cP Xy0)
% 177.33/177.67 Found (x2 x30) as proof of (cP Xy0)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x50 as proof of (cP Xy)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x21:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x21 as proof of (cP x0)
% 177.33/177.67 Found x31:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x31 as proof of (cP Xy0)
% 177.33/177.67 Found x31:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x31 as proof of (cP Xy)
% 177.33/177.67 Found x21:(cP Xy)
% 177.33/177.67 Instantiate: Xy0:=Xy:fofType
% 177.33/177.67 Found x21 as proof of (cP Xy0)
% 177.33/177.67 Found x30:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x30 as proof of (cP Xy)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Found x50 as proof of (cP x0)
% 177.33/177.67 Found x40:(cP Xy0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x40 as proof of (cP x0)
% 177.33/177.67 Found x60:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x60 as proof of (cP Xy)
% 177.33/177.67 Found x60:(cP x0)
% 177.33/177.67 Instantiate: Xy1:=x0:fofType
% 177.33/177.67 Found x60 as proof of (cP Xy1)
% 177.33/177.67 Found x50:(cP x0)
% 177.33/177.67 Instantiate: Xy0:=x0:fofType
% 177.33/177.67 Found x50 as proof of (cP Xy0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x61:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x61 as proof of (cP Xy)
% 177.33/177.67 Found x31:(cP x0)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x31 as proof of (cP Xy)
% 177.33/177.67 Found x61:(cP x0)
% 177.33/177.67 Instantiate: Xy1:=x0:fofType
% 177.33/177.67 Found x61 as proof of (cP Xy1)
% 177.33/177.67 Found x22:(cP Xy)
% 177.33/177.67 Found x22 as proof of (cP Xy0)
% 177.33/177.67 Found x20:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x20 as proof of (cP x0)
% 177.33/177.67 Found x21:(cP Xy)
% 177.33/177.67 Instantiate: Xy:=x0:fofType
% 177.33/177.67 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x50:(cP Xy1)
% 178.71/179.07 Instantiate: Xy1:=x0:fofType
% 178.71/179.07 Found x50 as proof of (cP x0)
% 178.71/179.07 Found x20:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x20 as proof of (cP x0)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Found x30 as proof of (cP x0)
% 178.71/179.07 Found x20:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x20 as proof of (cP x0)
% 178.71/179.07 Found x50:(cP Xy1)
% 178.71/179.07 Instantiate: Xy1:=x0:fofType
% 178.71/179.07 Found x50 as proof of (cP x0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x41 as proof of (cP x0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x41 as proof of (cP x0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x41 as proof of (cP x0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy0:=Xy:fofType
% 178.71/179.07 Found x21 as proof of (cP Xy0)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy:=Xy0:fofType
% 178.71/179.07 Found x41 as proof of (cP Xy)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x41 as proof of (cP x0)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Found x30 as proof of (cP x0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x50 as proof of (cP Xy)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy:=Xy0:fofType
% 178.71/179.07 Found x41 as proof of (cP Xy)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Found x50 as proof of (cP x0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x50 as proof of (cP Xy0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy1:=Xy:fofType
% 178.71/179.07 Found x21 as proof of (cP Xy1)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x40:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x40 as proof of (cP x0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x50 as proof of (cP Xy0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Found x50 as proof of (cP x0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x60:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x60 as proof of (cP Xy)
% 178.71/179.07 Found x40:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x40 as proof of (cP x0)
% 178.71/179.07 Found x40:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x40 as proof of (cP x0)
% 178.71/179.07 Found x40:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x40 as proof of (cP x0)
% 178.71/179.07 Found x60:(cP x0)
% 178.71/179.07 Instantiate: Xy1:=x0:fofType
% 178.71/179.07 Found x60 as proof of (cP Xy1)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Found x30 as proof of (cP x0)
% 178.71/179.07 Found x60:(cP x0)
% 178.71/179.07 Found x60 as proof of (cP x0)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy1:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy1)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy)
% 178.71/179.07 Found x51:(cP Xy1)
% 178.71/179.07 Instantiate: Xy1:=x0:fofType
% 178.71/179.07 Found x51 as proof of (cP x0)
% 178.71/179.07 Found x51:(cP Xy1)
% 178.71/179.07 Instantiate: Xy:=Xy1:fofType
% 178.71/179.07 Found x51 as proof of (cP Xy)
% 178.71/179.07 Found x51:(cP Xy1)
% 178.71/179.07 Instantiate: Xy1:=x0:fofType
% 178.71/179.07 Found x51 as proof of (cP x0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x50 as proof of (cP Xy)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy:=Xy0:fofType
% 178.71/179.07 Found x41 as proof of (cP Xy)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy0:=Xy:fofType
% 178.71/179.07 Found x21 as proof of (cP Xy0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x41 as proof of (cP x0)
% 178.71/179.07 Found x41:(cP Xy0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x41 as proof of (cP x0)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Found x30 as proof of (cP x0)
% 178.71/179.07 Found x30:(cP x0)
% 178.71/179.07 Instantiate: Xy0:=x0:fofType
% 178.71/179.07 Found x30 as proof of (cP Xy0)
% 178.71/179.07 Found x21:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=x0:fofType
% 178.71/179.07 Found x21 as proof of (cP x0)
% 178.71/179.07 Found x20:(cP Xy)
% 178.71/179.07 Instantiate: Xy:=Xy0:fofType
% 178.71/179.07 Found x20 as proof of (cP Xy0)
% 178.71/179.07 Found x50:(cP x0)
% 178.71/179.07 Found x50 as proof of (cP x0)
% 178.71/179.07 Found x6:(cP x5)
% 178.71/179.07 Instantiate: Xy:=x5:fofType
% 178.71/179.07 Found x6 as proof of (cP Xy)
% 179.78/180.09 Found x21:(cP Xy)
% 179.78/180.09 Instantiate: Xy:=x0:fofType
% 179.78/180.09 Found x21 as proof of (cP x0)
% 179.78/180.09 Found x21:(cP Xy)
% 179.78/180.09 Instantiate: Xy0:=Xy:fofType
% 179.78/180.09 Found x21 as proof of (cP Xy0)
% 179.78/180.09 Found x50:(cP x0)
% 179.78/180.09 Instantiate: Xy0:=x0:fofType
% 179.78/180.09 Found x50 as proof of (cP Xy0)
% 179.78/180.09 Found x21:(cP Xy)
% 179.78/180.09 Instantiate: Xy:=x0:fofType
% 179.78/180.09 Found x21 as proof of (cP x0)
% 179.78/180.09 Found x50:(cP x0)
% 179.78/180.09 Instantiate: Xy:=x0:fofType
% 179.78/180.09 Found x50 as proof of (cP Xy)
% 179.78/180.09 Found x21:(cP Xy)
% 179.78/180.09 Instantiate: Xy:=x0:fofType
% 179.78/180.09 Found x21 as proof of (cP x0)
% 179.78/180.09 Found x21:(cP Xy)
% 179.78/180.09 Instantiate: Xy0:=Xy:fofType
% 179.78/180.09 Found x21 as proof of (cP Xy0)
% 179.78/180.09 Found x21:(cP Xy)
% 179.78/180.09 Instantiate: Xy:=x0:fofType
% 179.78/180.09 Found x21 as proof of (cP x0)
% 179.78/180.09 Found x50:(cP Xy1)
% 179.78/180.09 Instantiate: Xy:=Xy1:fofType
% 179.78/180.09 Found x50 as proof of (cP Xy)
% 179.78/180.09 Found x30:(cP x0)
% 179.78/180.09 Found x30 as proof of (cP x0)
% 179.78/180.09 Found (x2 x30) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x30) as proof of (cP Xy0)
% 179.78/180.09 Found x20:(cP Xy)
% 179.78/180.09 Instantiate: Xy1:=Xy:fofType
% 179.78/180.09 Found x20 as proof of (cP Xy1)
% 179.78/180.09 Found x6:(cP x5)
% 179.78/180.09 Instantiate: Xy:=x5:fofType
% 179.78/180.09 Found x6 as proof of (cP Xy)
% 179.78/180.09 Found (x3 x6) as proof of (cP x0)
% 179.78/180.09 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 179.78/180.09 Found x20:=(x2 x30):(cP Xy)
% 179.78/180.09 Instantiate: Xy:=Xy0:fofType
% 179.78/180.09 Found (x2 x30) as proof of (cP Xy0)
% 179.78/180.09 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 179.78/180.09 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 179.78/180.09 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 179.78/180.09 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 179.78/180.09 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 179.78/180.09 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 179.78/180.09 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 179.78/180.09 Found x23:(cP Xy)
% 179.78/180.09 Instantiate: Xy:=x0:fofType
% 179.78/180.09 Found x23 as proof of (cP x0)
% 179.78/180.09 Found x50:=(x5 x60):(cP Xy1)
% 179.78/180.09 Found (x5 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x5 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x5 x60) as proof of (cP Xy0)
% 179.78/180.09 Found x50:=(x5 x31):(cP Xy1)
% 179.78/180.09 Found (x5 x31) as proof of (cP Xy0)
% 179.78/180.09 Found (x5 x31) as proof of (cP Xy0)
% 179.78/180.09 Found (x5 x31) as proof of (cP Xy0)
% 179.78/180.09 Found x20:=(x2 x60):(cP Xy)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found x20:=(x2 x60):(cP Xy)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found x20:=(x2 x31):(cP Xy)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy0)
% 179.78/180.09 Found x50:=(x5 x60):(cP Xy1)
% 179.78/180.09 Found (x5 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x5 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x5 x60) as proof of (cP Xy0)
% 179.78/180.09 Found x20:=(x2 x60):(cP Xy)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found (x2 x60) as proof of (cP Xy0)
% 179.78/180.09 Found x20:=(x2 x31):(cP Xy)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy1)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy1)
% 179.78/180.09 Found x40:=(x4 x31):(cP Xy0)
% 179.78/180.09 Found (x4 x31) as proof of (cP Xy1)
% 179.78/180.09 Found (x4 x31) as proof of (cP Xy1)
% 179.78/180.09 Found x20:=(x2 x51):(cP Xy)
% 179.78/180.09 Found (x2 x51) as proof of (cP Xy1)
% 179.78/180.09 Found (x2 x51) as proof of (cP Xy1)
% 179.78/180.09 Found x40:=(x4 x51):(cP Xy0)
% 179.78/180.09 Found (x4 x51) as proof of (cP Xy1)
% 179.78/180.09 Found (x4 x51) as proof of (cP Xy1)
% 179.78/180.09 Found x20:=(x2 x31):(cP Xy)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy1)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy1)
% 179.78/180.09 Found x20:=(x2 x51):(cP Xy)
% 179.78/180.09 Found (x2 x51) as proof of (cP Xy1)
% 179.78/180.09 Found (x2 x51) as proof of (cP Xy1)
% 179.78/180.09 Found x40:=(x4 x51):(cP Xy0)
% 179.78/180.09 Found (x4 x51) as proof of (cP Xy1)
% 179.78/180.09 Found (x4 x51) as proof of (cP Xy1)
% 179.78/180.09 Found x40:=(x4 x51):(cP Xy0)
% 179.78/180.09 Found (x4 x51) as proof of (cP Xy1)
% 179.78/180.09 Found (x4 x51) as proof of (cP Xy1)
% 179.78/180.09 Found x20:=(x2 x31):(cP Xy)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy1)
% 179.78/180.09 Found (x2 x31) as proof of (cP Xy1)
% 179.78/180.09 Found x40:=(x4 x31):(cP Xy0)
% 179.78/180.09 Found (x4 x31) as proof of (cP Xy1)
% 179.78/180.09 Found (x4 x31) as proof of (cP Xy1)
% 179.78/180.09 Found x20:=(x2 x51):(cP Xy)
% 179.78/180.09 Found (x2 x51) as proof of (cP Xy1)
% 179.78/180.09 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x31):(cP Xy)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x31):(cP Xy0)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x31):(cP Xy0)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x50:=(x5 x60):(cP Xy1)
% 180.35/180.67 Found (x5 x60) as proof of (cP Xy0)
% 180.35/180.67 Found (x5 x60) as proof of (cP Xy0)
% 180.35/180.67 Found (x5 x60) as proof of (cP Xy0)
% 180.35/180.67 Found x20:=(x2 x51):(cP Xy)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x51):(cP Xy0)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x51):(cP Xy)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x51):(cP Xy0)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x30:(cP x0)
% 180.35/180.67 Found x30 as proof of (cP x0)
% 180.35/180.67 Found (x2 x30) as proof of (cP Xy0)
% 180.35/180.67 Found (x2 x30) as proof of (cP Xy0)
% 180.35/180.67 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 180.35/180.67 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 180.35/180.67 Found x40:=(x4 x51):(cP Xy0)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x51):(cP Xy)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x31):(cP Xy0)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x51):(cP Xy)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x51):(cP Xy)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x31):(cP Xy0)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x31):(cP Xy0)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x51):(cP Xy0)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x51):(cP Xy0)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x51) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x31):(cP Xy)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x31):(cP Xy)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x40:=(x4 x31):(cP Xy0)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x4 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x31):(cP Xy)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x20:=(x2 x31):(cP Xy)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found (x2 x31) as proof of (cP Xy1)
% 180.35/180.67 Found x20:(cP Xy)
% 180.35/180.67 Instantiate: Xy:=x0:fofType
% 180.35/180.67 Found x20 as proof of (cP x0)
% 180.35/180.67 Found x30:(cP x0)
% 180.35/180.67 Instantiate: Xy:=x0:fofType
% 180.35/180.67 Found x30 as proof of (cP Xy)
% 180.35/180.67 Found x50:(cP x0)
% 180.35/180.67 Instantiate: Xy0:=x0:fofType
% 180.35/180.67 Found x50 as proof of (cP Xy0)
% 180.35/180.67 Found x50:(cP x0)
% 180.35/180.67 Instantiate: Xy:=x0:fofType
% 180.35/180.67 Found x50 as proof of (cP Xy)
% 180.35/180.67 Found x13:(cP x9)
% 180.35/180.67 Instantiate: Xy0:=x9:fofType
% 180.35/180.67 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy0)
% 180.35/180.67 Found x13:(cP x9)
% 180.35/180.67 Instantiate: Xy2:=x9:fofType
% 180.35/180.67 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy2)
% 180.35/180.67 Found x21:(cP Xy)
% 180.35/180.67 Instantiate: Xy:=Xy1:fofType
% 180.35/180.67 Found x21 as proof of (cP Xy1)
% 180.35/180.67 Found x31:(cP x0)
% 180.35/180.67 Instantiate: Xy0:=x0:fofType
% 180.35/180.67 Found x31 as proof of (cP Xy0)
% 180.35/180.67 Found x21:(cP Xy)
% 180.35/180.67 Found x21 as proof of (cP Xy1)
% 180.35/180.67 Found x30:(cP x0)
% 180.35/180.67 Instantiate: Xy:=x0:fofType
% 180.35/180.67 Found x30 as proof of (cP Xy)
% 180.35/180.67 Found x31:(cP x0)
% 180.35/180.67 Instantiate: Xy:=x0:fofType
% 180.35/180.67 Found x31 as proof of (cP Xy)
% 180.35/180.67 Found x31:(cP x0)
% 180.35/180.67 Instantiate: Xy:=x0:fofType
% 180.35/180.67 Found x31 as proof of (cP Xy)
% 180.35/180.67 Found x30:=(x3 x40):(cP Xy0)
% 180.35/180.67 Found (x3 x40) as proof of (cP Xy)
% 180.35/180.67 Found (x3 x40) as proof of (cP Xy)
% 181.91/182.28 Found (x3 x40) as proof of (cP Xy)
% 181.91/182.28 Found x22:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=Xy0:fofType
% 181.91/182.28 Found x22 as proof of (cP Xy0)
% 181.91/182.28 Found x30:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x30 as proof of (cP x0)
% 181.91/182.28 Found x20:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x20 as proof of (cP x0)
% 181.91/182.28 Found x6:(cP x5)
% 181.91/182.28 Instantiate: Xy:=x5:fofType
% 181.91/182.28 Found x6 as proof of (cP Xy)
% 181.91/182.28 Found x20:(cP Xy)
% 181.91/182.28 Instantiate: Xy0:=Xy:fofType
% 181.91/182.28 Found x20 as proof of (cP Xy0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x40 as proof of (cP x0)
% 181.91/182.28 Found x6:(cP x5)
% 181.91/182.28 Instantiate: Xy:=x5:fofType
% 181.91/182.28 Found x6 as proof of (cP Xy)
% 181.91/182.28 Found (x3 x6) as proof of (cP x0)
% 181.91/182.28 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 181.91/182.28 Found x20:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=Xy0:fofType
% 181.91/182.28 Found x20 as proof of (cP Xy0)
% 181.91/182.28 Found x20:=(x2 x30):(cP Xy)
% 181.91/182.28 Instantiate: Xy:=Xy0:fofType
% 181.91/182.28 Found (x2 x30) as proof of (cP Xy0)
% 181.91/182.28 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 181.91/182.28 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 181.91/182.28 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 181.91/182.28 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 181.91/182.28 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 181.91/182.28 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 181.91/182.28 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x40 as proof of (cP x0)
% 181.91/182.28 Found x50:(cP x0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x50 as proof of (cP Xy0)
% 181.91/182.28 Found x20:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=Xy0:fofType
% 181.91/182.28 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 181.91/182.28 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 181.91/182.28 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 181.91/182.28 Found x21:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x21 as proof of (cP x0)
% 181.91/182.28 Found x21:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x21 as proof of (cP x0)
% 181.91/182.28 Found x50:(cP x0)
% 181.91/182.28 Found x50 as proof of (cP x0)
% 181.91/182.28 Found x21:(cP Xy)
% 181.91/182.28 Instantiate: Xy0:=Xy:fofType
% 181.91/182.28 Found x21 as proof of (cP Xy0)
% 181.91/182.28 Found x50:(cP x0)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x50 as proof of (cP Xy)
% 181.91/182.28 Found x22:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=Xy0:fofType
% 181.91/182.28 Found x22 as proof of (cP Xy0)
% 181.91/182.28 Found x30:(cP x0)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x30 as proof of (cP Xy)
% 181.91/182.28 Found x30:(cP x0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x30 as proof of (cP Xy0)
% 181.91/182.28 Found x30:(cP x0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x30 as proof of (cP Xy0)
% 181.91/182.28 Found x30:(cP x0)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x30 as proof of (cP Xy)
% 181.91/182.28 Found x21:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x21 as proof of (cP x0)
% 181.91/182.28 Found x21:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=x0:fofType
% 181.91/182.28 Found x21 as proof of (cP x0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x40 as proof of (cP x0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x40 as proof of (cP x0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=Xy1:fofType
% 181.91/182.28 Found (fun (x8:((cP Xy2)->(cP x0)))=> x40) as proof of (cP Xy1)
% 181.91/182.28 Found (fun (x7:((cP x0)->(cP Xy2))) (x8:((cP Xy2)->(cP x0)))=> x40) as proof of (((cP Xy2)->(cP x0))->(cP Xy1))
% 181.91/182.28 Found (fun (x7:((cP x0)->(cP Xy2))) (x8:((cP Xy2)->(cP x0)))=> x40) as proof of (((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->(cP Xy1)))
% 181.91/182.28 Found x20:(cP Xy)
% 181.91/182.28 Instantiate: Xy:=Xy1:fofType
% 181.91/182.28 Found (fun (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (cP Xy1)
% 181.91/182.28 Found (fun (x7:((cP x0)->(cP Xy2))) (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (((cP Xy2)->(cP x0))->(cP Xy1))
% 181.91/182.28 Found (fun (x7:((cP x0)->(cP Xy2))) (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->(cP Xy1)))
% 181.91/182.28 Found x50:(cP x0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x50 as proof of (cP Xy0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x40 as proof of (cP x0)
% 181.91/182.28 Found x40:(cP Xy0)
% 181.91/182.28 Instantiate: Xy0:=x0:fofType
% 181.91/182.28 Found x40 as proof of (cP x0)
% 183.20/183.60 Found x40:(cP Xy0)
% 183.20/183.60 Instantiate: Xy0:=x0:fofType
% 183.20/183.60 Found x40 as proof of (cP x0)
% 183.20/183.60 Found x40:(cP Xy0)
% 183.20/183.60 Instantiate: Xy0:=x0:fofType
% 183.20/183.60 Found x40 as proof of (cP x0)
% 183.20/183.60 Found x30:=(x3 x40):(cP Xy0)
% 183.20/183.60 Found (x3 x40) as proof of (cP Xy)
% 183.20/183.60 Found (x3 x40) as proof of (cP Xy)
% 183.20/183.60 Found (x3 x40) as proof of (cP Xy)
% 183.20/183.60 Found x31:(cP x0)
% 183.20/183.60 Instantiate: Xy0:=x0:fofType
% 183.20/183.60 Found x31 as proof of (cP Xy0)
% 183.20/183.60 Found x31:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x31 as proof of (cP Xy)
% 183.20/183.60 Found x31:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x31 as proof of (cP Xy)
% 183.20/183.60 Found x50:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x50 as proof of (cP Xy)
% 183.20/183.60 Found x70:(cP Xy2)
% 183.20/183.60 Instantiate: Xy2:=Xy0:fofType
% 183.20/183.60 Found x70 as proof of (cP Xy0)
% 183.20/183.60 Found x30:(cP x0)
% 183.20/183.60 Found x30 as proof of (cP x0)
% 183.20/183.60 Found (x2 x30) as proof of (cP Xy0)
% 183.20/183.60 Found (x2 x30) as proof of (cP Xy0)
% 183.20/183.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 183.20/183.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=Xy0:fofType
% 183.20/183.60 Found x20 as proof of (cP Xy0)
% 183.20/183.60 Found x21:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x21 as proof of (cP x0)
% 183.20/183.60 Found x80:=(x8 x0):(cP x0)
% 183.20/183.60 Found (x8 x0) as proof of (cP x0)
% 183.20/183.60 Found (x8 x0) as proof of (cP x0)
% 183.20/183.60 Found x80:=(x8 x0):(cP x0)
% 183.20/183.60 Found (x8 x0) as proof of (cP x0)
% 183.20/183.60 Found (x8 x0) as proof of (cP x0)
% 183.20/183.60 Found x80:=(x8 x0):(cP x0)
% 183.20/183.60 Found (x8 x0) as proof of (cP x0)
% 183.20/183.60 Found (x8 x0) as proof of (cP x0)
% 183.20/183.60 Found x21:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x21 as proof of (cP x0)
% 183.20/183.60 Found x50:(cP Xy1)
% 183.20/183.60 Instantiate: Xy1:=Xy0:fofType
% 183.20/183.60 Found x50 as proof of (cP Xy0)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x00:=(x0 Xy):(cP Xy)
% 183.20/183.60 Found (x0 Xy) as proof of (cP Xy)
% 183.20/183.60 Found (x0 Xy) as proof of (cP Xy)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x00:=(x0 x1):(cP x1)
% 183.20/183.60 Found (x0 x1) as proof of (cP x1)
% 183.20/183.60 Found (x0 x1) as proof of (cP x1)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x30:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x30 as proof of (cP Xy)
% 183.20/183.60 Found x50:=(x5 x32):(cP Xy1)
% 183.20/183.60 Instantiate: Xy1:=Xy0:fofType
% 183.20/183.60 Found (x5 x32) as proof of (cP Xy0)
% 183.20/183.60 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (cP Xy0)
% 183.20/183.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 183.20/183.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x32)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 183.20/183.60 Found x20:=(x2 x32):(cP Xy)
% 183.20/183.60 Instantiate: Xy:=Xy0:fofType
% 183.20/183.60 Found (x2 x32) as proof of (cP Xy0)
% 183.20/183.60 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (cP Xy0)
% 183.20/183.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 183.20/183.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x32)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy0:=Xy:fofType
% 183.20/183.60 Found x20 as proof of (cP Xy0)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy0:=Xy:fofType
% 183.20/183.60 Found x20 as proof of (cP Xy0)
% 183.20/183.60 Found x30:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x30 as proof of (cP Xy)
% 183.20/183.60 Found x40:(cP Xy0)
% 183.20/183.60 Instantiate: Xy0:=x0:fofType
% 183.20/183.60 Found x40 as proof of (cP x0)
% 183.20/183.60 Found x50:(cP Xy0)
% 183.20/183.60 Instantiate: Xy0:=Xy:fofType
% 183.20/183.60 Found x50 as proof of (cP Xy)
% 183.20/183.60 Found x4:(cP x3)
% 183.20/183.60 Instantiate: Xy0:=x3:fofType
% 183.20/183.60 Found x4 as proof of (cP Xy0)
% 183.20/183.60 Found x30:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x30 as proof of (cP Xy)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x21:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=Xy0:fofType
% 183.20/183.60 Found x21 as proof of (cP Xy0)
% 183.20/183.60 Found x20:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x20 as proof of (cP x0)
% 183.20/183.60 Found x40:(cP Xy0)
% 183.20/183.60 Instantiate: Xy0:=x0:fofType
% 183.20/183.60 Found x40 as proof of (cP x0)
% 183.20/183.60 Found x21:(cP Xy)
% 183.20/183.60 Instantiate: Xy0:=Xy:fofType
% 183.20/183.60 Found x21 as proof of (cP Xy0)
% 183.20/183.60 Found x31:(cP x0)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x31 as proof of (cP Xy)
% 183.20/183.60 Found x21:(cP Xy)
% 183.20/183.60 Instantiate: Xy:=x0:fofType
% 183.20/183.60 Found x21 as proof of (cP x0)
% 183.20/183.60 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy0)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy0)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy0)
% 184.36/184.70 Found x21:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x21 as proof of (cP x0)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Found x50 as proof of (cP x0)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy)
% 184.36/184.70 Found x30:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x30 as proof of (cP x0)
% 184.36/184.70 Found x20:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=Xy0:fofType
% 184.36/184.70 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 184.36/184.70 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 184.36/184.70 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 184.36/184.70 Found x30:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x30 as proof of (cP Xy)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy0)
% 184.36/184.70 Found x80:=(x8 Xy):(cP Xy)
% 184.36/184.70 Found (x8 Xy) as proof of (cP Xy)
% 184.36/184.70 Found (x8 Xy) as proof of (cP Xy)
% 184.36/184.70 Found x80:=(x8 Xy0):(cP Xy0)
% 184.36/184.70 Found (x8 Xy0) as proof of (cP Xy0)
% 184.36/184.70 Found (x8 Xy0) as proof of (cP Xy0)
% 184.36/184.70 Found x80:=(x8 Xy1):(cP Xy1)
% 184.36/184.70 Found (x8 Xy1) as proof of (cP Xy1)
% 184.36/184.70 Found (x8 Xy1) as proof of (cP Xy1)
% 184.36/184.70 Found x20:=(x2 x30):(cP Xy)
% 184.36/184.70 Instantiate: Xy:=Xy0:fofType
% 184.36/184.70 Found (x2 x30) as proof of (cP Xy0)
% 184.36/184.70 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 184.36/184.70 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 184.36/184.70 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 184.36/184.70 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 184.36/184.70 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 184.36/184.70 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 184.36/184.70 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy)
% 184.36/184.70 Found x6:(cP x5)
% 184.36/184.70 Instantiate: Xy:=x5:fofType
% 184.36/184.70 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy0)
% 184.36/184.70 Found x20:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x20 as proof of (cP x0)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy0)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy0)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy)
% 184.36/184.70 Found x20:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x20 as proof of (cP x0)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy0)
% 184.36/184.70 Found x40:(cP Xy0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x40 as proof of (cP x0)
% 184.36/184.70 Found x6:(cP x5)
% 184.36/184.70 Instantiate: Xy:=x5:fofType
% 184.36/184.70 Found x6 as proof of (cP Xy)
% 184.36/184.70 Found (x3 x6) as proof of (cP x0)
% 184.36/184.70 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 184.36/184.70 Found x40:(cP Xy0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x40 as proof of (cP x0)
% 184.36/184.70 Found x30:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x30 as proof of (cP Xy0)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy0)
% 184.36/184.70 Found x30:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x30 as proof of (cP Xy)
% 184.36/184.70 Found x50:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x50 as proof of (cP Xy)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy0:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy0)
% 184.36/184.70 Found x21:(cP Xy)
% 184.36/184.70 Found x21 as proof of (cP Xy)
% 184.36/184.70 Found x31:(cP x0)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x31 as proof of (cP Xy)
% 184.36/184.70 Found x21:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=x0:fofType
% 184.36/184.70 Found x21 as proof of (cP x0)
% 184.36/184.70 Found x20:(cP Xy)
% 184.36/184.70 Instantiate: Xy:=Xy0:fofType
% 184.36/184.70 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 184.36/184.70 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy0:=Xy:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy:=Xy0:fofType
% 185.68/186.03 Found x40 as proof of (cP Xy)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=Xy0:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=Xy1:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy1)
% 185.68/186.03 Found x41:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x41 as proof of (cP x0)
% 185.68/186.03 Found x41:(cP Xy0)
% 185.68/186.03 Found x41 as proof of (cP Xy0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy0:=Xy:fofType
% 185.68/186.03 Found x20 as proof of (cP Xy0)
% 185.68/186.03 Found x41:(cP Xy0)
% 185.68/186.03 Instantiate: Xy:=Xy0:fofType
% 185.68/186.03 Found x41 as proof of (cP Xy)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x21 as proof of (cP x0)
% 185.68/186.03 Found x50:(cP x0)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x50 as proof of (cP Xy)
% 185.68/186.03 Found x50:(cP x0)
% 185.68/186.03 Found x50 as proof of (cP x0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x21 as proof of (cP x0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy0:=Xy:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy0)
% 185.68/186.03 Found x50:(cP x0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x50 as proof of (cP Xy0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=Xy0:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x30:(cP x0)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x30 as proof of (cP Xy)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x13:(cP x9)
% 185.68/186.03 Instantiate: Xy0:=x9:fofType
% 185.68/186.03 Found (fun (x13:(cP x9))=> x13) as proof of (cP Xy0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy0:=Xy:fofType
% 185.68/186.03 Found x20 as proof of (cP Xy0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x40:(cP Xy0)
% 185.68/186.03 Instantiate: Xy0:=x0:fofType
% 185.68/186.03 Found x40 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x22:(cP Xy)
% 185.68/186.03 Found x22 as proof of (cP Xy0)
% 185.68/186.03 Found x30:(cP x0)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x30 as proof of (cP Xy)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=Xy0:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x61:(cP x0)
% 185.68/186.03 Instantiate: Xy1:=x0:fofType
% 185.68/186.03 Found x61 as proof of (cP Xy1)
% 185.68/186.03 Found x22:(cP Xy)
% 185.68/186.03 Found x22 as proof of (cP Xy0)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x31:(cP x0)
% 185.68/186.03 Instantiate: Xy1:=x0:fofType
% 185.68/186.03 Found x31 as proof of (cP Xy1)
% 185.68/186.03 Found x20:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x20 as proof of (cP x0)
% 185.68/186.03 Found x30:(cP x0)
% 185.68/186.03 Found x30 as proof of (cP x0)
% 185.68/186.03 Found (x2 x30) as proof of (cP Xy0)
% 185.68/186.03 Found (x2 x30) as proof of (cP Xy0)
% 185.68/186.03 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 185.68/186.03 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 185.68/186.03 Found x60:(cP x0)
% 185.68/186.03 Instantiate: Xy1:=x0:fofType
% 185.68/186.03 Found x60 as proof of (cP Xy1)
% 185.68/186.03 Found x30:(cP x0)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x30 as proof of (cP Xy)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy0:=Xy:fofType
% 185.68/186.03 Found x21 as proof of (cP Xy0)
% 185.68/186.03 Found x21:(cP Xy)
% 185.68/186.03 Instantiate: Xy:=x0:fofType
% 185.68/186.03 Found x21 as proof of (cP x0)
% 185.68/186.03 Found x50:(cP x0)
% 185.68/186.03 Found x50 as proof of (cP x0)
% 185.68/186.03 Found x50:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy0)
% 186.81/187.15 Found x60:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x60 as proof of (cP Xy)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy0)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy0:=Xy:fofType
% 186.81/187.15 Found x21 as proof of (cP Xy0)
% 186.81/187.15 Found x20:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x20 as proof of (cP x0)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Found x50 as proof of (cP x0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x61:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x61 as proof of (cP Xy)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x30 as proof of (cP Xy)
% 186.81/187.15 Found x31:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x31 as proof of (cP Xy)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Instantiate: Xy1:=x0:fofType
% 186.81/187.15 Found x30 as proof of (cP Xy1)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x30 as proof of (cP Xy0)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy0)
% 186.81/187.15 Found x50:(cP x0)
% 186.81/187.15 Found x50 as proof of (cP x0)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Found x30 as proof of (cP x0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy0:=Xy:fofType
% 186.81/187.15 Found x21 as proof of (cP Xy0)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x41 as proof of (cP x0)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x30 as proof of (cP Xy)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x41 as proof of (cP x0)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy:=Xy0:fofType
% 186.81/187.15 Found x41 as proof of (cP Xy)
% 186.81/187.15 Found x50:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=Xy:fofType
% 186.81/187.15 Found x50 as proof of (cP Xy)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Found x30 as proof of (cP x0)
% 186.81/187.15 Found x40:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x40 as proof of (cP x0)
% 186.81/187.15 Found x50:(cP Xy1)
% 186.81/187.15 Instantiate: Xy1:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP x0)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x30 as proof of (cP Xy0)
% 186.81/187.15 Found x31:(cP x0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x31 as proof of (cP Xy0)
% 186.81/187.15 Found x50:(cP Xy1)
% 186.81/187.15 Instantiate: Xy1:=x0:fofType
% 186.81/187.15 Found x50 as proof of (cP x0)
% 186.81/187.15 Found x20:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x20 as proof of (cP x0)
% 186.81/187.15 Found x30:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x30 as proof of (cP Xy)
% 186.81/187.15 Found x22:(cP Xy)
% 186.81/187.15 Found x22 as proof of (cP Xy0)
% 186.81/187.15 Found x22:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=Xy0:fofType
% 186.81/187.15 Found x22 as proof of (cP Xy0)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy:=Xy0:fofType
% 186.81/187.15 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (cP Xy)
% 186.81/187.15 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 186.81/187.15 Found x20:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x20 as proof of (cP x0)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy:=Xy0:fofType
% 186.81/187.15 Found x41 as proof of (cP Xy)
% 186.81/187.15 Found x4:(cP x3)
% 186.81/187.15 Instantiate: Xy0:=x3:fofType
% 186.81/187.15 Found x4 as proof of (cP Xy0)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x41 as proof of (cP x0)
% 186.81/187.15 Found x40:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x40 as proof of (cP x0)
% 186.81/187.15 Found x41:(cP Xy0)
% 186.81/187.15 Instantiate: Xy0:=x0:fofType
% 186.81/187.15 Found x41 as proof of (cP x0)
% 186.81/187.15 Found x31:(cP x0)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x31 as proof of (cP Xy)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy0:=Xy:fofType
% 186.81/187.15 Found x21 as proof of (cP Xy0)
% 186.81/187.15 Found x21:(cP Xy)
% 186.81/187.15 Instantiate: Xy:=x0:fofType
% 186.81/187.15 Found x21 as proof of (cP x0)
% 186.81/187.15 Found x6:(cP x5)
% 186.81/187.15 Instantiate: Xy:=x5:fofType
% 186.81/187.15 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 186.81/187.15 Found x51:(cP Xy1)
% 186.81/187.15 Instantiate: Xy1:=x0:fofType
% 186.81/187.15 Found x51 as proof of (cP x0)
% 186.81/187.15 Found x20:(cP Xy)
% 186.81/187.15 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 186.81/187.15 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 186.81/187.15 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy1:=Xy:fofType
% 188.28/188.61 Found x21 as proof of (cP Xy1)
% 188.28/188.61 Found x51:(cP Xy1)
% 188.28/188.61 Instantiate: Xy1:=x0:fofType
% 188.28/188.61 Found x51 as proof of (cP x0)
% 188.28/188.61 Found x60:(cP x0)
% 188.28/188.61 Found x60 as proof of (cP x0)
% 188.28/188.61 Found x30:(cP x0)
% 188.28/188.61 Found x30 as proof of (cP x0)
% 188.28/188.61 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy:=x0:fofType
% 188.28/188.61 Found x21 as proof of (cP x0)
% 188.28/188.61 Found x60:(cP x0)
% 188.28/188.61 Instantiate: Xy:=x0:fofType
% 188.28/188.61 Found x60 as proof of (cP Xy)
% 188.28/188.61 Found x60:(cP x0)
% 188.28/188.61 Instantiate: Xy1:=x0:fofType
% 188.28/188.61 Found x60 as proof of (cP Xy1)
% 188.28/188.61 Found x51:(cP Xy1)
% 188.28/188.61 Instantiate: Xy:=Xy1:fofType
% 188.28/188.61 Found x51 as proof of (cP Xy)
% 188.28/188.61 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy:=x0:fofType
% 188.28/188.61 Found x21 as proof of (cP x0)
% 188.28/188.61 Found x30:(cP x0)
% 188.28/188.61 Instantiate: Xy:=x0:fofType
% 188.28/188.61 Found x30 as proof of (cP Xy)
% 188.28/188.61 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy:=Xy1:fofType
% 188.28/188.61 Found x21 as proof of (cP Xy1)
% 188.28/188.61 Found x30:(cP x0)
% 188.28/188.61 Instantiate: Xy1:=x0:fofType
% 188.28/188.61 Found x30 as proof of (cP Xy1)
% 188.28/188.61 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy:=x0:fofType
% 188.28/188.61 Found x21 as proof of (cP x0)
% 188.28/188.61 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy0:=Xy:fofType
% 188.28/188.61 Found x21 as proof of (cP Xy0)
% 188.28/188.61 Found x21:(cP Xy)
% 188.28/188.61 Instantiate: Xy:=x0:fofType
% 188.28/188.61 Found x21 as proof of (cP x0)
% 188.28/188.61 Found x20:=(x2 x30):(cP Xy)
% 188.28/188.61 Instantiate: Xy:=Xy0:fofType
% 188.28/188.61 Found (x2 x30) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x30) as proof of (cP Xy0)
% 188.28/188.61 Found x20:=(x2 x30):(cP Xy)
% 188.28/188.61 Instantiate: Xy:=Xy0:fofType
% 188.28/188.61 Found (x2 x30) as proof of (cP Xy0)
% 188.28/188.61 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 188.28/188.61 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 188.28/188.61 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 188.28/188.61 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 188.28/188.61 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 188.28/188.61 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 188.28/188.61 Found x20:(cP Xy)
% 188.28/188.61 Instantiate: Xy:=Xy0:fofType
% 188.28/188.61 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 188.28/188.61 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 188.28/188.61 Found x20:=(x2 x31):(cP Xy)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy0)
% 188.28/188.61 Found x20:=(x2 x60):(cP Xy)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x50:=(x5 x60):(cP Xy1)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x50:=(x5 x31):(cP Xy1)
% 188.28/188.61 Found (x5 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x31) as proof of (cP Xy0)
% 188.28/188.61 Found x40:=(x4 x51):(cP Xy0)
% 188.28/188.61 Found (x4 x51) as proof of (cP Xy1)
% 188.28/188.61 Found (x4 x51) as proof of (cP Xy1)
% 188.28/188.61 Found x20:=(x2 x31):(cP Xy)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy1)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy1)
% 188.28/188.61 Found x20:=(x2 x60):(cP Xy)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x20:=(x2 x51):(cP Xy)
% 188.28/188.61 Found (x2 x51) as proof of (cP Xy1)
% 188.28/188.61 Found (x2 x51) as proof of (cP Xy1)
% 188.28/188.61 Found x50:=(x5 x60):(cP Xy1)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x20:=(x2 x60):(cP Xy)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x20:=(x2 x31):(cP Xy)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x2 x31) as proof of (cP Xy0)
% 188.28/188.61 Found x50:=(x5 x60):(cP Xy1)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x50:=(x5 x31):(cP Xy1)
% 188.28/188.61 Found (x5 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x31) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x31) as proof of (cP Xy0)
% 188.28/188.61 Found x50:=(x5 x60):(cP Xy1)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found (x5 x60) as proof of (cP Xy0)
% 188.28/188.61 Found x20:=(x2 x51):(cP Xy)
% 188.28/188.61 Found (x2 x51) as proof of (cP Xy1)
% 188.28/188.61 Found (x2 x51) as proof of (cP Xy1)
% 188.28/188.61 Found x40:=(x4 x31):(cP Xy0)
% 188.28/188.61 Found (x4 x31) as proof of (cP Xy1)
% 188.28/188.61 Found (x4 x31) as proof of (cP Xy1)
% 188.28/188.61 Found x20:=(x2 x31):(cP Xy)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x51):(cP Xy)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x40:=(x4 x51):(cP Xy0)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x51):(cP Xy)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x40:=(x4 x31):(cP Xy0)
% 189.20/189.53 Found (x4 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x31):(cP Xy)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x31):(cP Xy)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x40:=(x4 x31):(cP Xy0)
% 189.20/189.53 Found (x4 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x40:=(x4 x51):(cP Xy0)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x60):(cP Xy)
% 189.20/189.53 Found (x2 x60) as proof of (cP Xy0)
% 189.20/189.53 Found (x2 x60) as proof of (cP Xy0)
% 189.20/189.53 Found (x2 x60) as proof of (cP Xy0)
% 189.20/189.53 Found x40:=(x4 x51):(cP Xy0)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x40:=(x4 x31):(cP Xy0)
% 189.20/189.53 Found (x4 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x23:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x23 as proof of (cP x0)
% 189.20/189.53 Found x33:(cP x0)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x33 as proof of (cP Xy)
% 189.20/189.53 Found x6:(cP x5)
% 189.20/189.53 Instantiate: Xy:=x5:fofType
% 189.20/189.53 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 189.20/189.53 Found x20:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x20 as proof of (cP x0)
% 189.20/189.53 Found x23:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x23 as proof of (cP x0)
% 189.20/189.53 Found x30:(cP x0)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x30 as proof of (cP Xy)
% 189.20/189.53 Found x20:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x20 as proof of (cP x0)
% 189.20/189.53 Found x30:(cP Xy0)
% 189.20/189.53 Instantiate: Xy0:=Xy:fofType
% 189.20/189.53 Found x30 as proof of (cP Xy)
% 189.20/189.53 Found x6:(cP x5)
% 189.20/189.53 Instantiate: Xy0:=x5:fofType
% 189.20/189.53 Found x6 as proof of (cP Xy0)
% 189.20/189.53 Found x30:(cP x0)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x30 as proof of (cP Xy)
% 189.20/189.53 Found x21:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=Xy0:fofType
% 189.20/189.53 Found x21 as proof of (cP Xy0)
% 189.20/189.53 Found x20:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x20 as proof of (cP x0)
% 189.20/189.53 Found x30:(cP x0)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x30 as proof of (cP Xy)
% 189.20/189.53 Found x31:(cP x0)
% 189.20/189.53 Instantiate: Xy:=x0:fofType
% 189.20/189.53 Found x31 as proof of (cP Xy)
% 189.20/189.53 Found x21:(cP Xy)
% 189.20/189.53 Instantiate: Xy:=Xy1:fofType
% 189.20/189.53 Found x21 as proof of (cP Xy1)
% 189.20/189.53 Found x31:(cP x0)
% 189.20/189.53 Instantiate: Xy0:=x0:fofType
% 189.20/189.53 Found x31 as proof of (cP Xy0)
% 189.20/189.53 Found x30:(cP x0)
% 189.20/189.53 Found x30 as proof of (cP x0)
% 189.20/189.53 Found (x2 x30) as proof of (cP Xy0)
% 189.20/189.53 Found (x2 x30) as proof of (cP Xy0)
% 189.20/189.53 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 189.20/189.53 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 189.20/189.53 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 189.20/189.53 Found x21:(cP Xy)
% 189.20/189.53 Found x21 as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x31):(cP Xy)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x31) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x51):(cP Xy)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x30):(cP Xy)
% 189.20/189.53 Instantiate: Xy:=Xy0:fofType
% 189.20/189.53 Found (x2 x30) as proof of (cP Xy0)
% 189.20/189.53 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 189.20/189.53 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 189.20/189.53 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 189.20/189.53 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 189.20/189.53 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 189.20/189.53 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 189.20/189.53 Found x40:=(x4 x51):(cP Xy0)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x4 x51) as proof of (cP Xy1)
% 189.20/189.53 Found x20:=(x2 x51):(cP Xy)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 189.20/189.53 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found x20:=(x2 x31):(cP Xy)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x31):(cP Xy0)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x31):(cP Xy0)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x51):(cP Xy0)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found x20:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x20 as proof of (cP x0)
% 190.09/190.43 Found x20:=(x2 x31):(cP Xy)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x31):(cP Xy0)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x20:=(x2 x51):(cP Xy)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x31):(cP Xy0)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x51):(cP Xy0)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found x20:=(x2 x51):(cP Xy)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x51) as proof of (cP Xy1)
% 190.09/190.43 Found x20:=(x2 x31):(cP Xy)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found (x2 x31) as proof of (cP Xy1)
% 190.09/190.43 Found x40:=(x4 x51):(cP Xy0)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found (x4 x51) as proof of (cP Xy1)
% 190.09/190.43 Found x22:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=Xy0:fofType
% 190.09/190.43 Found x22 as proof of (cP Xy0)
% 190.09/190.43 Found x40:(cP Xy0)
% 190.09/190.43 Instantiate: Xy0:=x0:fofType
% 190.09/190.43 Found x40 as proof of (cP x0)
% 190.09/190.43 Found x20:=(x2 x30):(cP Xy)
% 190.09/190.43 Instantiate: Xy:=Xy0:fofType
% 190.09/190.43 Found (x2 x30) as proof of (cP Xy0)
% 190.09/190.43 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 190.09/190.43 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 190.09/190.43 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 190.09/190.43 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 190.09/190.43 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 190.09/190.43 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 190.09/190.43 Found x6:(cP x5)
% 190.09/190.43 Instantiate: Xy:=x5:fofType
% 190.09/190.43 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 190.09/190.43 Found x40:(cP Xy0)
% 190.09/190.43 Instantiate: Xy0:=x0:fofType
% 190.09/190.43 Found x40 as proof of (cP x0)
% 190.09/190.43 Found x40:(cP Xy0)
% 190.09/190.43 Instantiate: Xy0:=x0:fofType
% 190.09/190.43 Found x40 as proof of (cP x0)
% 190.09/190.43 Found x40:(cP Xy0)
% 190.09/190.43 Instantiate: Xy0:=x0:fofType
% 190.09/190.43 Found x40 as proof of (cP x0)
% 190.09/190.43 Found x22:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=Xy0:fofType
% 190.09/190.43 Found x22 as proof of (cP Xy0)
% 190.09/190.43 Found x50:(cP Xy1)
% 190.09/190.43 Instantiate: Xy1:=x0:fofType
% 190.09/190.43 Found x50 as proof of (cP x0)
% 190.09/190.43 Found x21:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x21 as proof of (cP x0)
% 190.09/190.43 Found x50:(cP Xy1)
% 190.09/190.43 Instantiate: Xy1:=x0:fofType
% 190.09/190.43 Found x50 as proof of (cP x0)
% 190.09/190.43 Found x32:(cP x0)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x32 as proof of (cP Xy)
% 190.09/190.43 Found x22:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x22 as proof of (cP x0)
% 190.09/190.43 Found x21:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x21 as proof of (cP x0)
% 190.09/190.43 Found x21:(cP Xy)
% 190.09/190.43 Instantiate: Xy0:=Xy:fofType
% 190.09/190.43 Found x21 as proof of (cP Xy0)
% 190.09/190.43 Found x20:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=Xy0:fofType
% 190.09/190.43 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 190.09/190.43 Found (fun (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 190.09/190.43 Found x50:(cP x0)
% 190.09/190.43 Instantiate: Xy0:=x0:fofType
% 190.09/190.43 Found x50 as proof of (cP Xy0)
% 190.09/190.43 Found x21:(cP Xy)
% 190.09/190.43 Instantiate: Xy0:=Xy:fofType
% 190.09/190.43 Found x21 as proof of (cP Xy0)
% 190.09/190.43 Found x21:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x21 as proof of (cP x0)
% 190.09/190.43 Found x21:(cP Xy)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x21 as proof of (cP x0)
% 190.09/190.43 Found x50:(cP x0)
% 190.09/190.43 Instantiate: Xy:=x0:fofType
% 190.09/190.43 Found x50 as proof of (cP Xy)
% 192.45/192.83 Found x20:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=x0:fofType
% 192.45/192.83 Found x20 as proof of (cP x0)
% 192.45/192.83 Found x20:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=x0:fofType
% 192.45/192.83 Found x20 as proof of (cP x0)
% 192.45/192.83 Found x50:(cP x0)
% 192.45/192.83 Found x50 as proof of (cP x0)
% 192.45/192.83 Found x22:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=Xy0:fofType
% 192.45/192.83 Found x22 as proof of (cP Xy0)
% 192.45/192.83 Found x20:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=Xy0:fofType
% 192.45/192.83 Found (fun (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (cP Xy0)
% 192.45/192.83 Found (fun (x8:((cP Xy2)->(cP x0)))=> x20) as proof of (((cP Xy2)->(cP x0))->(cP Xy0))
% 192.45/192.83 Found x50:(cP Xy1)
% 192.45/192.83 Instantiate: Xy1:=Xy0:fofType
% 192.45/192.83 Found (fun (x8:((cP Xy2)->(cP x0)))=> x50) as proof of (cP Xy0)
% 192.45/192.83 Found (fun (x8:((cP Xy2)->(cP x0)))=> x50) as proof of (((cP Xy2)->(cP x0))->(cP Xy0))
% 192.45/192.83 Found x70:(cP Xy2)
% 192.45/192.83 Instantiate: Xy2:=Xy0:fofType
% 192.45/192.83 Found (fun (x8:((cP Xy2)->(cP x0)))=> x70) as proof of (cP Xy0)
% 192.45/192.83 Found (fun (x8:((cP Xy2)->(cP x0)))=> x70) as proof of (((cP Xy2)->(cP x0))->(cP Xy0))
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x22:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=Xy0:fofType
% 192.45/192.83 Found x22 as proof of (cP Xy0)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP x0)
% 192.45/192.83 Found x51 as proof of (cP x0)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found (x4 x51) as proof of (cP Xy1)
% 192.45/192.83 Found x31:(cP x0)
% 192.45/192.83 Found x31 as proof of (cP x0)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found (x2 x31) as proof of (cP Xy1)
% 192.45/192.83 Found x51:(cP Xy1)
% 192.45/192.83 Instantiate: Xy1:=Xy0:fofType
% 192.45/192.83 Found (fun (x8:(cP x7))=> x51) as proof of (cP Xy0)
% 192.45/192.83 Found (fun (x8:(cP x7))=> x51) as proof of ((cP x7)->(cP Xy0))
% 192.45/192.83 Found x21:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=Xy0:fofType
% 192.45/192.83 Found (fun (x8:(cP x7))=> x21) as proof of (cP Xy0)
% 192.45/192.83 Found (fun (x8:(cP x7))=> x21) as proof of ((cP x7)->(cP Xy0))
% 192.45/192.83 Found x21:(cP Xy)
% 192.45/192.83 Instantiate: Xy:=x0:fofType
% 192.45/192.83 Found x21 as proof of (cP x0)
% 192.45/192.83 Found x30:(cP x0)
% 192.45/192.83 Instantiate: Xy:=x0:fofType
% 192.45/192.83 Found x30 as proof of (cP Xy)
% 192.45/192.83 Found x30:(cP x0)
% 192.45/192.83 Instantiate: Xy0:=x0:fofType
% 192.45/192.83 Found x30 as proof of (cP Xy0)
% 192.45/192.83 Found x30:(cP x0)
% 192.45/192.83 Instantiate: Xy:=x0:fofType
% 192.45/192.83 Found x30 as proof of (cP Xy)
% 193.99/194.37 Found x21:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x21 as proof of (cP x0)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy0)
% 193.99/194.37 Found x8:(cP x7)
% 193.99/194.37 Instantiate: Xy0:=x7:fofType
% 193.99/194.37 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 193.99/194.37 Found x60:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x60 as proof of (cP Xy)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy1:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy1)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy1:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy1)
% 193.99/194.37 Found x60:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x60 as proof of (cP Xy)
% 193.99/194.37 Found x8:(cP x7)
% 193.99/194.37 Instantiate: Xy:=x7:fofType
% 193.99/194.37 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Found x30 as proof of (cP x0)
% 193.99/194.37 Found (x2 x30) as proof of (cP Xy0)
% 193.99/194.37 Found (x2 x30) as proof of (cP Xy0)
% 193.99/194.37 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 193.99/194.37 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 193.99/194.37 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 193.99/194.37 Found x40:(cP Xy0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x40 as proof of (cP x0)
% 193.99/194.37 Found x40:(cP Xy0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x40 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x30:(cP Xy0)
% 193.99/194.37 Instantiate: Xy0:=Xy:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy0:=Xy:fofType
% 193.99/194.37 Found x20 as proof of (cP Xy0)
% 193.99/194.37 Found x21:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x21 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy0:=Xy:fofType
% 193.99/194.37 Found x20 as proof of (cP Xy0)
% 193.99/194.37 Found x40:(cP Xy0)
% 193.99/194.37 Instantiate: Xy:=Xy0:fofType
% 193.99/194.37 Found x40 as proof of (cP Xy)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Found x30 as proof of (cP x0)
% 193.99/194.37 Found (x2 x30) as proof of (cP Xy0)
% 193.99/194.37 Found (x2 x30) as proof of (cP Xy0)
% 193.99/194.37 Found x6:(cP x5)
% 193.99/194.37 Instantiate: Xy0:=x5:fofType
% 193.99/194.37 Found x6 as proof of (cP Xy0)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy)
% 193.99/194.37 Found x50:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x50 as proof of (cP Xy)
% 193.99/194.37 Found x21:(cP Xy)
% 193.99/194.37 Instantiate: Xy0:=Xy:fofType
% 193.99/194.37 Found x21 as proof of (cP Xy0)
% 193.99/194.37 Found x50:(cP x0)
% 193.99/194.37 Found x50 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy)
% 193.99/194.37 Found x40:(cP Xy0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x40 as proof of (cP x0)
% 193.99/194.37 Found x21:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x21 as proof of (cP x0)
% 193.99/194.37 Found x40:(cP Xy0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x40 as proof of (cP x0)
% 193.99/194.37 Found x50:(cP x0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x50 as proof of (cP Xy0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy0:=Xy:fofType
% 193.99/194.37 Found x20 as proof of (cP Xy0)
% 193.99/194.37 Found x50:(cP Xy0)
% 193.99/194.37 Instantiate: Xy0:=Xy:fofType
% 193.99/194.37 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 193.99/194.37 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x50:(cP x0)
% 193.99/194.37 Instantiate: Xy0:=x0:fofType
% 193.99/194.37 Found x50 as proof of (cP Xy0)
% 193.99/194.37 Found x30:(cP x0)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x30 as proof of (cP Xy)
% 193.99/194.37 Found x20:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=x0:fofType
% 193.99/194.37 Found x20 as proof of (cP x0)
% 193.99/194.37 Found x21:(cP Xy)
% 193.99/194.37 Instantiate: Xy:=Xy0:fofType
% 193.99/194.37 Found x21 as proof of (cP Xy0)
% 193.99/194.37 Found x20:=(x2 x30):(cP Xy)
% 193.99/194.37 Instantiate: Xy:=Xy0:fofType
% 193.99/194.37 Found (x2 x30) as proof of (cP Xy0)
% 193.99/194.37 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 193.99/194.37 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 193.99/194.37 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 193.99/194.37 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 195.46/195.77 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 195.46/195.77 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 195.46/195.77 Found x40:(cP Xy0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x40 as proof of (cP x0)
% 195.46/195.77 Found x20:(cP Xy)
% 195.46/195.77 Instantiate: Xy0:=Xy:fofType
% 195.46/195.77 Found x20 as proof of (cP Xy0)
% 195.46/195.77 Found x20:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x20 as proof of (cP x0)
% 195.46/195.77 Found x20:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x20 as proof of (cP x0)
% 195.46/195.77 Found x40:(cP Xy0)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 195.46/195.77 Found x40 as proof of (cP Xy)
% 195.46/195.77 Found x40:(cP Xy0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x40 as proof of (cP x0)
% 195.46/195.77 Found x20:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x20 as proof of (cP x0)
% 195.46/195.77 Found x30:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x30 as proof of (cP Xy)
% 195.46/195.77 Found x22:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 195.46/195.77 Found x22 as proof of (cP Xy0)
% 195.46/195.77 Found x20:=(x2 x30):(cP Xy)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 195.46/195.77 Found (x2 x30) as proof of (cP Xy0)
% 195.46/195.77 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 195.46/195.77 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 195.46/195.77 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 195.46/195.77 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 195.46/195.77 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 195.46/195.77 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x41 as proof of (cP x0)
% 195.46/195.77 Found x50:(cP x0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x50 as proof of (cP Xy0)
% 195.46/195.77 Found x30:=(x3 x40):(cP Xy0)
% 195.46/195.77 Found (x3 x40) as proof of (cP Xy)
% 195.46/195.77 Found (x3 x40) as proof of (cP Xy)
% 195.46/195.77 Found (x3 x40) as proof of (cP Xy)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Found x41 as proof of (cP Xy0)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 195.46/195.77 Found x41 as proof of (cP Xy)
% 195.46/195.77 Found x20:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x20 as proof of (cP x0)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy0)
% 195.46/195.77 Found x50:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x50 as proof of (cP Xy)
% 195.46/195.77 Found x21:(cP Xy)
% 195.46/195.77 Found x21 as proof of (cP Xy)
% 195.46/195.77 Found x61:(cP x0)
% 195.46/195.77 Instantiate: Xy1:=x0:fofType
% 195.46/195.77 Found x61 as proof of (cP Xy1)
% 195.46/195.77 Found x30:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x30 as proof of (cP Xy)
% 195.46/195.77 Found x50:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x50 as proof of (cP Xy)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 195.46/195.77 Found x41 as proof of (cP Xy)
% 195.46/195.77 Found x61:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x61 as proof of (cP Xy)
% 195.46/195.77 Found x30:(cP x0)
% 195.46/195.77 Instantiate: Xy1:=x0:fofType
% 195.46/195.77 Found x30 as proof of (cP Xy1)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy1:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy1)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy)
% 195.46/195.77 Found x60:(cP x0)
% 195.46/195.77 Instantiate: Xy1:=x0:fofType
% 195.46/195.77 Found x60 as proof of (cP Xy1)
% 195.46/195.77 Found x50:(cP x0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x50 as proof of (cP Xy0)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy)
% 195.46/195.77 Found x31:(cP x0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x31 as proof of (cP Xy0)
% 195.46/195.77 Found x60:(cP x0)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x60 as proof of (cP Xy)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x41 as proof of (cP x0)
% 195.46/195.77 Found x21:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=x0:fofType
% 195.46/195.77 Found x21 as proof of (cP x0)
% 195.46/195.77 Found x21:(cP Xy)
% 195.46/195.77 Instantiate: Xy0:=Xy:fofType
% 195.46/195.77 Found x21 as proof of (cP Xy0)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Instantiate: Xy0:=x0:fofType
% 195.46/195.77 Found x41 as proof of (cP x0)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Found x41 as proof of (cP Xy0)
% 195.46/195.77 Found x41:(cP Xy0)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 195.46/195.77 Found x41 as proof of (cP Xy)
% 195.46/195.77 Found x21:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=Xy1:fofType
% 195.46/195.77 Found x21 as proof of (cP Xy1)
% 195.46/195.77 Found x20:(cP Xy)
% 195.46/195.77 Instantiate: Xy:=Xy0:fofType
% 197.11/197.42 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 197.11/197.42 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 197.11/197.42 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 197.11/197.42 Found x40:(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x40 as proof of (cP x0)
% 197.11/197.42 Found x40:(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x40 as proof of (cP x0)
% 197.11/197.42 Found x20:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x20 as proof of (cP x0)
% 197.11/197.42 Found x20:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x20 as proof of (cP x0)
% 197.11/197.42 Found x40:(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x40 as proof of (cP x0)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x50 as proof of (cP Xy)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x50 as proof of (cP Xy0)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=Xy0:fofType
% 197.11/197.42 Found x21 as proof of (cP Xy0)
% 197.11/197.42 Found x70:=(x7 x80):(cP Xy2)
% 197.11/197.42 Instantiate: Xy2:=Xy1:fofType
% 197.11/197.42 Found (x7 x80) as proof of (cP Xy1)
% 197.11/197.42 Found (x7 x80) as proof of (cP Xy1)
% 197.11/197.42 Found x40:=(x4 x80):(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=Xy1:fofType
% 197.11/197.42 Found (x4 x80) as proof of (cP Xy1)
% 197.11/197.42 Found (x4 x80) as proof of (cP Xy1)
% 197.11/197.42 Found x20:=(x2 x80):(cP Xy)
% 197.11/197.42 Instantiate: Xy:=Xy1:fofType
% 197.11/197.42 Found (x2 x80) as proof of (cP Xy1)
% 197.11/197.42 Found (x2 x80) as proof of (cP Xy1)
% 197.11/197.42 Found x70:=(x7 x30):(cP Xy2)
% 197.11/197.42 Instantiate: Xy2:=Xy1:fofType
% 197.11/197.42 Found (x7 x30) as proof of (cP Xy1)
% 197.11/197.42 Found (x7 x30) as proof of (cP Xy1)
% 197.11/197.42 Found x40:=(x4 x30):(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=Xy1:fofType
% 197.11/197.42 Found (x4 x30) as proof of (cP Xy1)
% 197.11/197.42 Found (x4 x30) as proof of (cP Xy1)
% 197.11/197.42 Found x20:=(x2 x30):(cP Xy)
% 197.11/197.42 Instantiate: Xy:=Xy1:fofType
% 197.11/197.42 Found (x2 x30) as proof of (cP Xy1)
% 197.11/197.42 Found (x2 x30) as proof of (cP Xy1)
% 197.11/197.42 Found x70:=(x7 x50):(cP Xy2)
% 197.11/197.42 Instantiate: Xy2:=Xy1:fofType
% 197.11/197.42 Found (x7 x50) as proof of (cP Xy1)
% 197.11/197.42 Found (x7 x50) as proof of (cP Xy1)
% 197.11/197.42 Found x40:=(x4 x50):(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=Xy1:fofType
% 197.11/197.42 Found (x4 x50) as proof of (cP Xy1)
% 197.11/197.42 Found (x4 x50) as proof of (cP Xy1)
% 197.11/197.42 Found x20:=(x2 x50):(cP Xy)
% 197.11/197.42 Instantiate: Xy:=Xy1:fofType
% 197.11/197.42 Found (x2 x50) as proof of (cP Xy1)
% 197.11/197.42 Found (x2 x50) as proof of (cP Xy1)
% 197.11/197.42 Found x20:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x20 as proof of (cP x0)
% 197.11/197.42 Found x40:(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x40 as proof of (cP x0)
% 197.11/197.42 Found x20:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x20 as proof of (cP x0)
% 197.11/197.42 Found x31:(cP x0)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x31 as proof of (cP Xy)
% 197.11/197.42 Found x31:(cP x0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x31 as proof of (cP Xy0)
% 197.11/197.42 Found x30:(cP x0)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x30 as proof of (cP Xy)
% 197.11/197.42 Found x20:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x20 as proof of (cP x0)
% 197.11/197.42 Found x30:(cP x0)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x30 as proof of (cP Xy)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy0:=Xy:fofType
% 197.11/197.42 Found x21 as proof of (cP Xy0)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x21 as proof of (cP x0)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x21 as proof of (cP x0)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x50 as proof of (cP Xy)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x50 as proof of (cP Xy0)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Found x50 as proof of (cP x0)
% 197.11/197.42 Found x20:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x20 as proof of (cP x0)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x50 as proof of (cP Xy)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=Xy0:fofType
% 197.11/197.42 Found x21 as proof of (cP Xy0)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x21 as proof of (cP x0)
% 197.11/197.42 Found x21:(cP Xy)
% 197.11/197.42 Instantiate: Xy:=x0:fofType
% 197.11/197.42 Found x21 as proof of (cP x0)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Found x50 as proof of (cP x0)
% 197.11/197.42 Found x30:(cP x0)
% 197.11/197.42 Found x30 as proof of (cP x0)
% 197.11/197.42 Found (x2 x30) as proof of (cP Xy0)
% 197.11/197.42 Found (x2 x30) as proof of (cP Xy0)
% 197.11/197.42 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 197.11/197.42 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 197.11/197.42 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 197.11/197.42 Found x40:(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x40 as proof of (cP x0)
% 197.11/197.42 Found x40:(cP Xy0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x40 as proof of (cP x0)
% 197.11/197.42 Found x50:(cP x0)
% 197.11/197.42 Instantiate: Xy0:=x0:fofType
% 197.11/197.42 Found x50 as proof of (cP Xy0)
% 197.97/198.30 Found x21:(cP Xy)
% 197.97/198.30 Instantiate: Xy0:=Xy:fofType
% 197.97/198.30 Found x21 as proof of (cP Xy0)
% 197.97/198.30 Found x21:(cP Xy)
% 197.97/198.30 Instantiate: Xy:=Xy0:fofType
% 197.97/198.30 Found x21 as proof of (cP Xy0)
% 197.97/198.30 Found x22:(cP Xy)
% 197.97/198.30 Found x22 as proof of (cP Xy0)
% 197.97/198.30 Found x20:(cP Xy)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x20 as proof of (cP x0)
% 197.97/198.30 Found x20:=(x2 x31):(cP Xy)
% 197.97/198.30 Found (x2 x31) as proof of (cP Xy0)
% 197.97/198.30 Found (x2 x31) as proof of (cP Xy0)
% 197.97/198.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (cP Xy0)
% 197.97/198.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 197.97/198.30 Found x21:(cP Xy)
% 197.97/198.30 Instantiate: Xy0:=Xy:fofType
% 197.97/198.30 Found x21 as proof of (cP Xy0)
% 197.97/198.30 Found x22:(cP Xy)
% 197.97/198.30 Instantiate: Xy:=Xy0:fofType
% 197.97/198.30 Found x22 as proof of (cP Xy0)
% 197.97/198.30 Found x21:(cP Xy)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x21 as proof of (cP x0)
% 197.97/198.30 Found x21:(cP Xy)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x21 as proof of (cP x0)
% 197.97/198.30 Found x50:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x50 as proof of (cP Xy0)
% 197.97/198.30 Found x50:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x50 as proof of (cP Xy)
% 197.97/198.30 Found x50:(cP x0)
% 197.97/198.30 Found x50 as proof of (cP x0)
% 197.97/198.30 Found x61:(cP x0)
% 197.97/198.30 Instantiate: Xy1:=x0:fofType
% 197.97/198.30 Found x61 as proof of (cP Xy1)
% 197.97/198.30 Found x61:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x61 as proof of (cP Xy)
% 197.97/198.30 Found x31:(cP x0)
% 197.97/198.30 Instantiate: Xy1:=x0:fofType
% 197.97/198.30 Found x31 as proof of (cP Xy1)
% 197.97/198.30 Found x60:(cP x0)
% 197.97/198.30 Instantiate: Xy1:=x0:fofType
% 197.97/198.30 Found x60 as proof of (cP Xy1)
% 197.97/198.30 Found x60:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x60 as proof of (cP Xy)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy1:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy1)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy)
% 197.97/198.30 Found x50:=(x5 x31):(cP Xy1)
% 197.97/198.30 Found (x5 x31) as proof of (cP Xy0)
% 197.97/198.30 Found (x5 x31) as proof of (cP Xy0)
% 197.97/198.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (cP Xy0)
% 197.97/198.30 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x31)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 197.97/198.30 Found x22:(cP Xy)
% 197.97/198.30 Found x22 as proof of (cP Xy0)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy)
% 197.97/198.30 Found x51:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x51 as proof of (cP Xy)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy0)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy0)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy0)
% 197.97/198.30 Found x51:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x51 as proof of (cP Xy0)
% 197.97/198.30 Found x50:(cP Xy0)
% 197.97/198.30 Instantiate: Xy0:=Xy:fofType
% 197.97/198.30 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 197.97/198.30 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 197.97/198.30 Found x31:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x31 as proof of (cP Xy)
% 197.97/198.30 Found x51:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x51 as proof of (cP Xy0)
% 197.97/198.30 Found x20:(cP Xy)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x20 as proof of (cP x0)
% 197.97/198.30 Found x50:(cP Xy1)
% 197.97/198.30 Instantiate: Xy1:=x0:fofType
% 197.97/198.30 Found x50 as proof of (cP x0)
% 197.97/198.30 Found x50:(cP Xy1)
% 197.97/198.30 Instantiate: Xy1:=x0:fofType
% 197.97/198.30 Found x50 as proof of (cP x0)
% 197.97/198.30 Found x20:=(x2 x30):(cP Xy)
% 197.97/198.30 Instantiate: Xy:=Xy0:fofType
% 197.97/198.30 Found (x2 x30) as proof of (cP Xy0)
% 197.97/198.30 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 197.97/198.30 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 197.97/198.30 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 197.97/198.30 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 197.97/198.30 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 197.97/198.30 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 197.97/198.30 Found x51:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x51 as proof of (cP Xy)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy0)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy)
% 197.97/198.30 Found x30:(cP x0)
% 197.97/198.30 Instantiate: Xy0:=x0:fofType
% 197.97/198.30 Found x30 as proof of (cP Xy0)
% 199.28/199.62 Found x30:(cP x0)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x30 as proof of (cP Xy)
% 199.28/199.62 Found x30:(cP x0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x30 as proof of (cP Xy0)
% 199.28/199.62 Found x30:(cP x0)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x30 as proof of (cP Xy)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=Xy1:fofType
% 199.28/199.62 Found x21 as proof of (cP Xy1)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x20 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x21 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy0:=Xy:fofType
% 199.28/199.62 Found x21 as proof of (cP Xy0)
% 199.28/199.62 Found x20:=(x2 x30):(cP Xy)
% 199.28/199.62 Instantiate: Xy:=Xy0:fofType
% 199.28/199.62 Found (x2 x30) as proof of (cP Xy0)
% 199.28/199.62 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 199.28/199.62 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x21 as proof of (cP x0)
% 199.28/199.62 Found x30:=(x3 x40):(cP Xy0)
% 199.28/199.62 Found (x3 x40) as proof of (cP Xy)
% 199.28/199.62 Found (x3 x40) as proof of (cP Xy)
% 199.28/199.62 Found (x3 x40) as proof of (cP Xy)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=Xy0:fofType
% 199.28/199.62 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 199.28/199.62 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 199.28/199.62 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 199.28/199.62 Found x51:(cP Xy1)
% 199.28/199.62 Instantiate: Xy1:=x0:fofType
% 199.28/199.62 Found x51 as proof of (cP x0)
% 199.28/199.62 Found x20:=(x2 x31):(cP Xy)
% 199.28/199.62 Found (x2 x31) as proof of (cP Xy0)
% 199.28/199.62 Found (x2 x31) as proof of (cP Xy0)
% 199.28/199.62 Found (x2 x31) as proof of (cP Xy0)
% 199.28/199.62 Found x20:=(x2 x60):(cP Xy)
% 199.28/199.62 Found (x2 x60) as proof of (cP Xy0)
% 199.28/199.62 Found (x2 x60) as proof of (cP Xy0)
% 199.28/199.62 Found (x2 x60) as proof of (cP Xy0)
% 199.28/199.62 Found x50:=(x5 x60):(cP Xy1)
% 199.28/199.62 Found (x5 x60) as proof of (cP Xy0)
% 199.28/199.62 Found (x5 x60) as proof of (cP Xy0)
% 199.28/199.62 Found (x5 x60) as proof of (cP Xy0)
% 199.28/199.62 Found x30:(cP x0)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x30 as proof of (cP Xy)
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy1:=Xy:fofType
% 199.28/199.62 Found x21 as proof of (cP Xy1)
% 199.28/199.62 Found x30:(cP x0)
% 199.28/199.62 Found x30 as proof of (cP x0)
% 199.28/199.62 Found x51:(cP Xy1)
% 199.28/199.62 Instantiate: Xy:=Xy1:fofType
% 199.28/199.62 Found x51 as proof of (cP Xy)
% 199.28/199.62 Found x30:(cP x0)
% 199.28/199.62 Instantiate: Xy1:=x0:fofType
% 199.28/199.62 Found x30 as proof of (cP Xy1)
% 199.28/199.62 Found x50:=(x5 x31):(cP Xy1)
% 199.28/199.62 Found (x5 x31) as proof of (cP Xy0)
% 199.28/199.62 Found (x5 x31) as proof of (cP Xy0)
% 199.28/199.62 Found (x5 x31) as proof of (cP Xy0)
% 199.28/199.62 Found x60:(cP x0)
% 199.28/199.62 Instantiate: Xy1:=x0:fofType
% 199.28/199.62 Found x60 as proof of (cP Xy1)
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x21 as proof of (cP x0)
% 199.28/199.62 Found x51:(cP Xy1)
% 199.28/199.62 Instantiate: Xy1:=x0:fofType
% 199.28/199.62 Found x51 as proof of (cP x0)
% 199.28/199.62 Found x60:(cP x0)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x60 as proof of (cP Xy)
% 199.28/199.62 Found x21:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x21 as proof of (cP x0)
% 199.28/199.62 Found x60:(cP x0)
% 199.28/199.62 Found x60 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy:=Xy0:fofType
% 199.28/199.62 Found x40 as proof of (cP Xy)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Instantiate: Xy0:=Xy:fofType
% 199.28/199.62 Found x20 as proof of (cP Xy0)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Found x20 as proof of (cP Xy)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Instantiate: Xy0:=Xy:fofType
% 199.28/199.62 Found x20 as proof of (cP Xy0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x20 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Instantiate: Xy0:=x0:fofType
% 199.28/199.62 Found x40 as proof of (cP x0)
% 199.28/199.62 Found x40:(cP Xy0)
% 199.28/199.62 Found x40 as proof of (cP Xy0)
% 199.28/199.62 Found x8:(cP x7)
% 199.28/199.62 Instantiate: Xy0:=x7:fofType
% 199.28/199.62 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy0)
% 199.28/199.62 Found x20:(cP Xy)
% 199.28/199.62 Instantiate: Xy:=x0:fofType
% 199.28/199.62 Found x20 as proof of (cP x0)
% 200.37/200.77 Found x40:(cP Xy0)
% 200.37/200.77 Instantiate: Xy:=Xy0:fofType
% 200.37/200.77 Found x40 as proof of (cP Xy)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Instantiate: Xy:=x0:fofType
% 200.37/200.77 Found x20 as proof of (cP x0)
% 200.37/200.77 Found x23:(cP Xy)
% 200.37/200.77 Instantiate: Xy:=x0:fofType
% 200.37/200.77 Found x23 as proof of (cP x0)
% 200.37/200.77 Found x40:(cP Xy0)
% 200.37/200.77 Found x40 as proof of (cP Xy0)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Instantiate: Xy:=x0:fofType
% 200.37/200.77 Found x20 as proof of (cP x0)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Instantiate: Xy0:=Xy:fofType
% 200.37/200.77 Found x20 as proof of (cP Xy0)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Instantiate: Xy:=x0:fofType
% 200.37/200.77 Found x20 as proof of (cP x0)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Instantiate: Xy0:=Xy:fofType
% 200.37/200.77 Found x20 as proof of (cP Xy0)
% 200.37/200.77 Found x40:(cP Xy0)
% 200.37/200.77 Instantiate: Xy0:=x0:fofType
% 200.37/200.77 Found x40 as proof of (cP x0)
% 200.37/200.77 Found x40:(cP Xy0)
% 200.37/200.77 Instantiate: Xy0:=x0:fofType
% 200.37/200.77 Found x40 as proof of (cP x0)
% 200.37/200.77 Found x40:(cP Xy0)
% 200.37/200.77 Instantiate: Xy:=Xy0:fofType
% 200.37/200.77 Found x40 as proof of (cP Xy)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Instantiate: Xy:=x0:fofType
% 200.37/200.77 Found x20 as proof of (cP x0)
% 200.37/200.77 Found x20:(cP Xy)
% 200.37/200.77 Found x20 as proof of (cP Xy)
% 200.37/200.77 Found x40:(cP Xy0)
% 200.37/200.77 Instantiate: Xy0:=x0:fofType
% 200.37/200.77 Found x40 as proof of (cP x0)
% 200.46/200.77 Found x40:(cP Xy0)
% 200.46/200.77 Instantiate: Xy:=Xy0:fofType
% 200.46/200.77 Found x40 as proof of (cP Xy)
% 200.46/200.77 Found x20:(cP Xy)
% 200.46/200.77 Instantiate: Xy:=x0:fofType
% 200.46/200.77 Found x20 as proof of (cP x0)
% 200.46/200.77 Found x20:(cP Xy)
% 200.46/200.77 Instantiate: Xy:=x0:fofType
% 200.46/200.77 Found x20 as proof of (cP x0)
% 200.46/200.77 Found x8:(cP x7)
% 200.46/200.77 Instantiate: Xy2:=x7:fofType
% 200.46/200.77 Found x8 as proof of (cP Xy2)
% 200.46/200.77 Found (x13 x8) as proof of (cP x0)
% 200.46/200.77 Found (x13 x8) as proof of (cP x0)
% 200.46/200.77 Found (x5 (x13 x8)) as proof of (cP Xy0)
% 200.46/200.77 Found (x5 (x13 x8)) as proof of (cP Xy0)
% 200.46/200.77 Found (fun (x13:((cP Xy2)->(cP x0)))=> (x5 (x13 x8))) as proof of (cP Xy0)
% 200.46/200.77 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 (x13 x8))) as proof of (((cP Xy2)->(cP x0))->(cP Xy0))
% 200.46/200.77 Found (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 (x13 x8))) as proof of (((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->(cP Xy0)))
% 200.46/200.77 Found (and_rect20 (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 (x13 x8)))) as proof of (cP Xy0)
% 200.46/200.77 Found ((and_rect2 (cP Xy0)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 (x13 x8)))) as proof of (cP Xy0)
% 200.46/200.77 Found (((fun (P:Type) (x9:(((cP x0)->(cP Xy2))->(((cP Xy2)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy2))) ((cP Xy2)->(cP x0))) P) x9) x12)) (cP Xy0)) (fun (x9:((cP x0)->(cP Xy2))) (x13:((cP Xy2)->(cP x0)))=> (x5 (x13 x8)))) as proof of (cP Xy0)
% 200.46/200.77 Found (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))) as proof of (cP Xy0)
% 200.46/200.77 Found (fun (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))) as proof of (cP Xy0)
% 200.46/200.77 Found (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))) as proof of ((cP x7)->(cP Xy0))
% 200.46/200.77 Found (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 200.46/200.77 Found (ex_ind10 (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))) as proof of (cP Xy0)
% 200.46/200.77 Found ((ex_ind1 (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))) as proof of (cP Xy0)
% 200.46/200.77 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))) as proof of (cP Xy0)
% 200.46/200.78 Found (fun (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))))) as proof of (cP Xy0)
% 200.46/200.78 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 200.46/200.78 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 200.46/200.78 Found (and_rect10 (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))) as proof of (cP Xy0)
% 200.46/200.78 Found ((and_rect1 (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))) as proof of (cP Xy0)
% 200.46/200.78 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x5) x11)) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))) as proof of (cP Xy0)
% 200.46/200.78 Found (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))) as proof of (cP Xy0)
% 200.46/200.78 Found (fun (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))))))) as proof of (cP Xy0)
% 200.89/201.24 Found (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))))))) as proof of (forall (Xy:fofType), (cP Xy))
% 200.89/201.24 Found (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8))))))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))
% 200.89/201.24 Found ((conj00 (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 200.89/201.24 Found (((conj0 ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 200.89/201.24 Found ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 200.89/201.24 Found (fun (x3:((cP Xy)->(cP x0)))=> ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 200.89/201.24 Found (fun (x2:((cP x0)->(cP Xy))) (x3:((cP Xy)->(cP x0)))=> ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))))) as proof of (((cP Xy)->(cP x0))->((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))))
% 200.89/201.24 Found (fun (x2:((cP x0)->(cP Xy))) (x3:((cP Xy)->(cP x0)))=> ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))))) as proof of (((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))))
% 201.49/201.83 Found (and_rect00 (fun (x2:((cP x0)->(cP Xy))) (x3:((cP Xy)->(cP x0)))=> ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 201.49/201.83 Found ((and_rect0 ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))) (fun (x2:((cP x0)->(cP Xy))) (x3:((cP Xy)->(cP x0)))=> ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 201.49/201.83 Found (((fun (P:Type) (x2:(((cP x0)->(cP Xy))->(((cP Xy)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy))) ((cP Xy)->(cP x0))) P) x2) x10)) ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy0:fofType), (cP Xy0)))) ((forall (Xy0:fofType), (cP Xy0))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))) (fun (x2:((cP x0)->(cP Xy))) (x3:((cP Xy)->(cP x0)))=> ((((conj (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy0:fofType), (cP Xy0)))) ((forall (Xy0:fofType), (cP Xy0))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))) (fun (x4:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (Xy0:fofType)=> (((fun (P:Type) (x5:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x5) (x1 Xy0))) (cP Xy0)) (fun (x5:((cP x0)->(cP Xy0))) (x6:((cP Xy0)->(cP x0)))=> (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x7) x4)) (cP Xy0)) (fun (x7:fofType) (x8:(cP x7))=> (((fun (P:Type) (x9:(((cP x0)->(cP x7))->(((cP x7)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x7))) ((cP x7)->(cP x0))) P) x9) (x1 x7))) (cP Xy0)) (fun (x9:((cP x0)->(cP x7))) (x13:((cP x7)->(cP x0)))=> (x5 (x13 x8)))))))))) (fun (x4:(forall (Xy0:fofType), (cP Xy0)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))))))) as proof of ((and (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->(forall (Xy:fofType), (cP Xy)))) ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx)))))
% 204.07/204.41 Found x30:(cP x0)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x30 as proof of (cP Xy)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=Xy0:fofType
% 204.07/204.41 Found x21 as proof of (cP Xy0)
% 204.07/204.41 Found x30:(cP Xy0)
% 204.07/204.41 Instantiate: Xy0:=Xy:fofType
% 204.07/204.41 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 204.07/204.41 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x31:(cP x0)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x31 as proof of (cP Xy)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x31:(cP x0)
% 204.07/204.41 Instantiate: Xy0:=x0:fofType
% 204.07/204.41 Found x31 as proof of (cP Xy0)
% 204.07/204.41 Found x40:(cP Xy0)
% 204.07/204.41 Instantiate: Xy0:=x0:fofType
% 204.07/204.41 Found x40 as proof of (cP x0)
% 204.07/204.41 Found x40:(cP Xy0)
% 204.07/204.41 Instantiate: Xy0:=x0:fofType
% 204.07/204.41 Found x40 as proof of (cP x0)
% 204.07/204.41 Found x41:(cP Xy0)
% 204.07/204.41 Instantiate: Xy:=Xy0:fofType
% 204.07/204.41 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (cP Xy)
% 204.07/204.41 Found (fun (x5:((cP Xy0)->(cP x0)))=> x41) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 204.07/204.41 Found x30:(cP x0)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x30 as proof of (cP Xy)
% 204.07/204.41 Found x20:=(x2 x30):(cP Xy)
% 204.07/204.41 Instantiate: Xy:=Xy0:fofType
% 204.07/204.41 Found (x2 x30) as proof of (cP Xy0)
% 204.07/204.41 Found (x2 x30) as proof of (cP Xy0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x30:(cP x0)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x30 as proof of (cP Xy)
% 204.07/204.41 Found x31:(cP x0)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x31 as proof of (cP Xy)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x21 as proof of (cP x0)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x21 as proof of (cP x0)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy0:=Xy:fofType
% 204.07/204.41 Found x21 as proof of (cP Xy0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (cP Xy)
% 204.07/204.41 Found (fun (x5:((cP Xy0)->(cP x0)))=> x20) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 204.07/204.41 Found x30:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x30 as proof of (cP x0)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x21 as proof of (cP x0)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x21 as proof of (cP x0)
% 204.07/204.41 Found x21:(cP Xy)
% 204.07/204.41 Instantiate: Xy0:=Xy:fofType
% 204.07/204.41 Found x21 as proof of (cP Xy0)
% 204.07/204.41 Found x30:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x30 as proof of (cP x0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=Xy0:fofType
% 204.07/204.41 Found (fun (x6:(cP x5))=> x20) as proof of (cP Xy0)
% 204.07/204.41 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of ((cP x5)->(cP Xy0))
% 204.07/204.41 Found (fun (x5:fofType) (x6:(cP x5))=> x20) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 204.07/204.41 Found x40:(cP x0)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x40 as proof of (cP Xy)
% 204.07/204.41 Found x6:(cP x5)
% 204.07/204.41 Instantiate: Xy:=x5:fofType
% 204.07/204.41 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x30:(cP Xy0)
% 204.07/204.41 Instantiate: Xy0:=Xy:fofType
% 204.07/204.41 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 204.07/204.41 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 204.07/204.41 Found x20:=(x2 x30):(cP Xy)
% 204.07/204.41 Instantiate: Xy:=Xy0:fofType
% 204.07/204.41 Found (x2 x30) as proof of (cP Xy0)
% 204.07/204.41 Found (x2 x30) as proof of (cP Xy0)
% 204.07/204.41 Found x20:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 204.07/204.41 Found x20 as proof of (cP x0)
% 204.07/204.41 Found x30:(cP Xy)
% 204.07/204.41 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x30 as proof of (cP x0)
% 207.47/207.84 Found x30:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x30 as proof of (cP x0)
% 207.47/207.84 Found x40:(cP x0)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x40 as proof of (cP Xy)
% 207.47/207.84 Found x6:(cP x5)
% 207.47/207.84 Instantiate: Xy:=x5:fofType
% 207.47/207.84 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 207.47/207.84 Found x6:(cP x5)
% 207.47/207.84 Instantiate: Xy:=x5:fofType
% 207.47/207.84 Found x6 as proof of (cP Xy)
% 207.47/207.84 Found (x3 x6) as proof of (cP x0)
% 207.47/207.84 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 207.47/207.84 Found x31:(cP x0)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x31 as proof of (cP Xy)
% 207.47/207.84 Found x31:(cP x0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x31 as proof of (cP Xy0)
% 207.47/207.84 Found x40:(cP Xy0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x40 as proof of (cP x0)
% 207.47/207.84 Found x40:(cP Xy0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x40 as proof of (cP x0)
% 207.47/207.84 Found x40:(cP Xy0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x40 as proof of (cP x0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x21 as proof of (cP x0)
% 207.47/207.84 Found x40:(cP Xy0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x40 as proof of (cP x0)
% 207.47/207.84 Found x50:(cP x0)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x50 as proof of (cP Xy)
% 207.47/207.84 Found x50:(cP x0)
% 207.47/207.84 Found x50 as proof of (cP x0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy0:=Xy:fofType
% 207.47/207.84 Found x21 as proof of (cP Xy0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x21 as proof of (cP x0)
% 207.47/207.84 Found x50:(cP x0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x50 as proof of (cP Xy0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy0:=Xy:fofType
% 207.47/207.84 Found x21 as proof of (cP Xy0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x21 as proof of (cP x0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x21 as proof of (cP x0)
% 207.47/207.84 Found x20:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x20 as proof of (cP x0)
% 207.47/207.84 Found x30:(cP x0)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x30 as proof of (cP Xy)
% 207.47/207.84 Found x20:=(x2 x30):(cP Xy)
% 207.47/207.84 Instantiate: Xy:=Xy0:fofType
% 207.47/207.84 Found (x2 x30) as proof of (cP Xy0)
% 207.47/207.84 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 207.47/207.84 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 207.47/207.84 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 207.47/207.84 Found x00:=(x0 x5):(cP x5)
% 207.47/207.84 Found (x0 x5) as proof of (cP x5)
% 207.47/207.84 Found (x0 x5) as proof of (cP x5)
% 207.47/207.84 Found (ex_intro000 (x0 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 207.47/207.84 Found x6:(cP x5)
% 207.47/207.84 Instantiate: Xy:=x5:fofType
% 207.47/207.84 Found x6 as proof of (cP Xy)
% 207.47/207.84 Found (x3 x6) as proof of (cP x0)
% 207.47/207.84 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 207.47/207.84 Found x23:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x23 as proof of (cP x0)
% 207.47/207.84 Found x40:(cP x0)
% 207.47/207.84 Found x40 as proof of (cP x0)
% 207.47/207.84 Found (x3 x40) as proof of (cP Xy)
% 207.47/207.84 Found (x3 x40) as proof of (cP Xy)
% 207.47/207.84 Found (x3 x40) as proof of (cP Xy)
% 207.47/207.84 Found x40:(cP x1)
% 207.47/207.84 Found x40 as proof of (cP x1)
% 207.47/207.84 Found (x3 x40) as proof of (cP Xy)
% 207.47/207.84 Found (x3 x40) as proof of (cP Xy)
% 207.47/207.84 Found (x3 x40) as proof of (cP Xy)
% 207.47/207.84 Found x30:(cP x0)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x30 as proof of (cP Xy)
% 207.47/207.84 Found x20:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x20 as proof of (cP x0)
% 207.47/207.84 Found x20:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x20 as proof of (cP x0)
% 207.47/207.84 Found x31:(cP x0)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x31 as proof of (cP Xy)
% 207.47/207.84 Found x30:(cP Xy0)
% 207.47/207.84 Instantiate: Xy0:=Xy:fofType
% 207.47/207.84 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 207.47/207.84 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 207.47/207.84 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 207.47/207.84 Found x20:=(x2 x5):(cP x5)
% 207.47/207.84 Found (x2 x5) as proof of (cP x5)
% 207.47/207.84 Found (x2 x5) as proof of (cP x5)
% 207.47/207.84 Found (ex_intro000 (x2 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy:=x0:fofType
% 207.47/207.84 Found x21 as proof of (cP x0)
% 207.47/207.84 Found x41:(cP Xy0)
% 207.47/207.84 Found x41 as proof of (cP Xy0)
% 207.47/207.84 Found x41:(cP Xy0)
% 207.47/207.84 Instantiate: Xy0:=x0:fofType
% 207.47/207.84 Found x41 as proof of (cP x0)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Instantiate: Xy0:=Xy:fofType
% 207.47/207.84 Found x21 as proof of (cP Xy0)
% 207.47/207.84 Found x41:(cP Xy0)
% 207.47/207.84 Instantiate: Xy:=Xy0:fofType
% 207.47/207.84 Found x41 as proof of (cP Xy)
% 207.47/207.84 Found x21:(cP Xy)
% 207.47/207.84 Found x21 as proof of (cP Xy)
% 207.47/207.84 Found x20:=(x2 x30):(cP Xy)
% 207.47/207.84 Instantiate: Xy:=Xy0:fofType
% 207.47/207.84 Found (x2 x30) as proof of (cP Xy0)
% 207.47/207.84 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 210.40/210.77 Found x21:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x21 as proof of (cP x0)
% 210.40/210.77 Found x21:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x21 as proof of (cP x0)
% 210.40/210.77 Found x21:(cP Xy)
% 210.40/210.77 Instantiate: Xy0:=Xy:fofType
% 210.40/210.77 Found x21 as proof of (cP Xy0)
% 210.40/210.77 Found x6:(cP x5)
% 210.40/210.77 Instantiate: Xy:=x5:fofType
% 210.40/210.77 Found x6 as proof of (cP Xy)
% 210.40/210.77 Found (x3 x6) as proof of (cP x0)
% 210.40/210.77 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 210.40/210.77 Found x6:(cP x5)
% 210.40/210.77 Instantiate: Xy:=x5:fofType
% 210.40/210.77 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 210.40/210.77 Found x30:(cP Xy0)
% 210.40/210.77 Instantiate: Xy0:=Xy:fofType
% 210.40/210.77 Found x30 as proof of (cP Xy)
% 210.40/210.77 Found x20:=(x2 x30):(cP Xy)
% 210.40/210.77 Instantiate: Xy:=Xy0:fofType
% 210.40/210.77 Found (x2 x30) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 210.40/210.77 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 210.40/210.77 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 210.40/210.77 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 210.40/210.77 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x30:(cP x0)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x30 as proof of (cP Xy)
% 210.40/210.77 Found x31:(cP x0)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x31 as proof of (cP Xy)
% 210.40/210.77 Found x20:=(x2 x30):(cP Xy)
% 210.40/210.77 Instantiate: Xy:=Xy0:fofType
% 210.40/210.77 Found (x2 x30) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 210.40/210.77 Found x30:(cP x0)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x30 as proof of (cP Xy)
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x30:(cP Xy0)
% 210.40/210.77 Instantiate: Xy0:=Xy:fofType
% 210.40/210.77 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 210.40/210.77 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 210.40/210.77 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x30:(cP x0)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x30 as proof of (cP Xy)
% 210.40/210.77 Found x20:=(x2 x30):(cP Xy)
% 210.40/210.77 Instantiate: Xy:=Xy0:fofType
% 210.40/210.77 Found (x2 x30) as proof of (cP Xy0)
% 210.40/210.77 Found (x2 x30) as proof of (cP Xy0)
% 210.40/210.77 Found x6:(cP x5)
% 210.40/210.77 Instantiate: Xy:=x5:fofType
% 210.40/210.77 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x30:(cP x0)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x30 as proof of (cP Xy)
% 210.40/210.77 Found x20:=(x2 x30):(cP Xy)
% 210.40/210.77 Instantiate: Xy:=Xy0:fofType
% 210.40/210.77 Found (x2 x30) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 210.40/210.77 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 210.40/210.77 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 210.40/210.77 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 210.40/210.77 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 210.40/210.77 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 210.40/210.77 Found x21:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=Xy0:fofType
% 210.40/210.77 Found x21 as proof of (cP Xy0)
% 210.40/210.77 Found x20:(cP Xy)
% 210.40/210.77 Instantiate: Xy:=x0:fofType
% 210.40/210.77 Found x20 as proof of (cP x0)
% 210.40/210.77 Found x40:(cP Xy0)
% 210.40/210.77 Instantiate: Xy0:=x0:fofType
% 210.40/210.77 Found x40 as proof of (cP x0)
% 210.40/210.77 Found x40:(cP Xy0)
% 210.40/210.77 Instantiate: Xy0:=x0:fofType
% 210.40/210.77 Found x40 as proof of (cP x0)
% 210.40/210.77 Found x21:(cP Xy)
% 210.40/210.77 Instantiate: Xy0:=Xy:fofType
% 210.40/210.77 Found x21 as proof of (cP Xy0)
% 210.40/210.77 Found x6:(cP x5)
% 210.40/210.77 Instantiate: Xy:=x5:fofType
% 210.40/210.77 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 210.40/210.77 Found x31:(cP x0)
% 213.33/213.75 Instantiate: Xy0:=x0:fofType
% 213.33/213.75 Found x31 as proof of (cP Xy0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x21 as proof of (cP x0)
% 213.33/213.75 Found x31:(cP x0)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x31 as proof of (cP Xy)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x21 as proof of (cP x0)
% 213.33/213.75 Found x30:(cP x0)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x30 as proof of (cP Xy)
% 213.33/213.75 Found x20:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x20 as proof of (cP x0)
% 213.33/213.75 Found x30:(cP x0)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x30 as proof of (cP Xy)
% 213.33/213.75 Found x20:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x20 as proof of (cP x0)
% 213.33/213.75 Found x6:(cP x5)
% 213.33/213.75 Instantiate: Xy:=x5:fofType
% 213.33/213.75 Found x6 as proof of (cP Xy)
% 213.33/213.75 Found (x3 x6) as proof of (cP x0)
% 213.33/213.75 Found (x3 x6) as proof of (cP x0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x21 as proof of (cP x0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x21 as proof of (cP x0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy0:=Xy:fofType
% 213.33/213.75 Found x21 as proof of (cP Xy0)
% 213.33/213.75 Found x6:(cP x5)
% 213.33/213.75 Instantiate: Xy:=x5:fofType
% 213.33/213.75 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 213.33/213.75 Found x20:=(x2 x30):(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found (x2 x30) as proof of (cP Xy0)
% 213.33/213.75 Found (x2 x30) as proof of (cP Xy0)
% 213.33/213.75 Found x30:(cP x0)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x30 as proof of (cP Xy)
% 213.33/213.75 Found x6:(cP x5)
% 213.33/213.75 Instantiate: Xy:=x5:fofType
% 213.33/213.75 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found x21 as proof of (cP Xy0)
% 213.33/213.75 Found x20:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x20 as proof of (cP x0)
% 213.33/213.75 Found x23:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x23 as proof of (cP x0)
% 213.33/213.75 Found x20:=(x2 x30):(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found (x2 x30) as proof of (cP Xy0)
% 213.33/213.75 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 213.33/213.75 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 213.33/213.75 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 213.33/213.75 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 213.33/213.75 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 213.33/213.75 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 213.33/213.75 Found x6:(cP x5)
% 213.33/213.75 Instantiate: Xy:=x5:fofType
% 213.33/213.75 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 213.33/213.75 Found x20:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x20 as proof of (cP x0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy0:=Xy:fofType
% 213.33/213.75 Found x21 as proof of (cP Xy0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x21 as proof of (cP x0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Found x21 as proof of (cP Xy)
% 213.33/213.75 Found x41:(cP Xy0)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found x41 as proof of (cP Xy)
% 213.33/213.75 Found x41:(cP Xy0)
% 213.33/213.75 Instantiate: Xy0:=x0:fofType
% 213.33/213.75 Found x41 as proof of (cP x0)
% 213.33/213.75 Found x41:(cP Xy0)
% 213.33/213.75 Found x41 as proof of (cP Xy0)
% 213.33/213.75 Found x20:=(x2 x30):(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found (x2 x30) as proof of (cP Xy0)
% 213.33/213.75 Found (x2 x30) as proof of (cP Xy0)
% 213.33/213.75 Found x20:=(x2 x30):(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found (x2 x30) as proof of (cP Xy0)
% 213.33/213.75 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 213.33/213.75 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 213.33/213.75 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 213.33/213.75 Found x30:(cP x0)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x30 as proof of (cP Xy)
% 213.33/213.75 Found x30:(cP Xy0)
% 213.33/213.75 Instantiate: Xy0:=Xy:fofType
% 213.33/213.75 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (cP Xy)
% 213.33/213.75 Found (fun (x4:((cP Xy0)->(cP x1)))=> x30) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 213.33/213.75 Found x20:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x20 as proof of (cP x0)
% 213.33/213.75 Found x21:(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found x21 as proof of (cP Xy0)
% 213.33/213.75 Found x20:=(x2 x31):(cP Xy)
% 213.33/213.75 Instantiate: Xy:=Xy0:fofType
% 213.33/213.75 Found (x2 x31) as proof of (cP Xy0)
% 213.33/213.75 Found (x2 x31) as proof of (cP Xy0)
% 213.33/213.75 Found x30:(cP x0)
% 213.33/213.75 Instantiate: Xy:=x0:fofType
% 213.33/213.75 Found x30 as proof of (cP Xy)
% 213.33/213.75 Found x50:=(x5 x60):(cP Xy0)
% 213.33/213.75 Instantiate: Xy0:=Xy:fofType
% 213.33/213.75 Found (x5 x60) as proof of (cP Xy)
% 213.33/213.75 Found (x5 x60) as proof of (cP Xy)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x20:=(x2 x30):(cP Xy)
% 216.15/216.50 Found (x2 x30) as proof of (cP Xy0)
% 216.15/216.50 Found (x2 x30) as proof of (cP Xy0)
% 216.15/216.50 Found (x2 x30) as proof of (cP Xy0)
% 216.15/216.50 Found x6:(cP x5)
% 216.15/216.50 Instantiate: Xy:=x5:fofType
% 216.15/216.50 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 216.15/216.50 Found x20:=(x2 x30):(cP Xy)
% 216.15/216.50 Instantiate: Xy:=Xy0:fofType
% 216.15/216.50 Found (x2 x30) as proof of (cP Xy0)
% 216.15/216.50 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 216.15/216.50 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 216.15/216.50 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 216.15/216.50 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 216.15/216.50 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 216.15/216.50 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 216.15/216.50 Found x40:(cP x0)
% 216.15/216.50 Found x40 as proof of (cP x0)
% 216.15/216.50 Found (x3 x40) as proof of (cP Xy)
% 216.15/216.50 Found (x3 x40) as proof of (cP Xy)
% 216.15/216.50 Found (x3 x40) as proof of (cP Xy)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy)
% 216.15/216.50 Found x20:=(x2 x30):(cP Xy)
% 216.15/216.50 Instantiate: Xy:=Xy0:fofType
% 216.15/216.50 Found (x2 x30) as proof of (cP Xy0)
% 216.15/216.50 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 216.15/216.50 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 216.15/216.50 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x20:=(x2 x5):(cP x5)
% 216.15/216.50 Found (x2 x5) as proof of (cP x5)
% 216.15/216.50 Found (x2 x5) as proof of (cP x5)
% 216.15/216.50 Found (ex_intro000 (x2 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 216.15/216.50 Found x32:(cP x0)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x32 as proof of (cP Xy)
% 216.15/216.50 Found x22:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x22 as proof of (cP x0)
% 216.15/216.50 Found x20:=(x2 x30):(cP Xy)
% 216.15/216.50 Instantiate: Xy:=Xy0:fofType
% 216.15/216.50 Found (x2 x30) as proof of (cP Xy0)
% 216.15/216.50 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 216.15/216.50 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 216.15/216.50 Found x20:=(x2 x31):(cP Xy)
% 216.15/216.50 Instantiate: Xy:=Xy0:fofType
% 216.15/216.50 Found (x2 x31) as proof of (cP Xy0)
% 216.15/216.50 Found (x2 x31) as proof of (cP Xy0)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy0:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy0)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy)
% 216.15/216.50 Found x30:(cP x0)
% 216.15/216.50 Instantiate: Xy0:=x0:fofType
% 216.15/216.50 Found x30 as proof of (cP Xy0)
% 216.15/216.50 Found x50:=(x5 x60):(cP Xy0)
% 216.15/216.50 Instantiate: Xy0:=Xy:fofType
% 216.15/216.50 Found (x5 x60) as proof of (cP Xy)
% 216.15/216.50 Found (x5 x60) as proof of (cP Xy)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x21:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=Xy0:fofType
% 216.15/216.50 Found x21 as proof of (cP Xy0)
% 216.15/216.50 Found x40:(cP Xy0)
% 216.15/216.50 Instantiate: Xy0:=x0:fofType
% 216.15/216.50 Found x40 as proof of (cP x0)
% 216.15/216.50 Found x40:(cP Xy0)
% 216.15/216.50 Instantiate: Xy0:=x0:fofType
% 216.15/216.50 Found x40 as proof of (cP x0)
% 216.15/216.50 Found x40:(cP x0)
% 216.15/216.50 Found x40 as proof of (cP x0)
% 216.15/216.50 Found (x3 x40) as proof of (cP Xy)
% 216.15/216.50 Found (x3 x40) as proof of (cP Xy)
% 216.15/216.50 Found (x3 x40) as proof of (cP Xy)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x20 as proof of (cP x0)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Found x20 as proof of (cP Xy)
% 216.15/216.50 Found x21:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x21 as proof of (cP x0)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy0:=Xy:fofType
% 216.15/216.50 Found x20 as proof of (cP Xy0)
% 216.15/216.50 Found x21:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 216.15/216.50 Found x21 as proof of (cP x0)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy0:=Xy:fofType
% 216.15/216.50 Found x20 as proof of (cP Xy0)
% 216.15/216.50 Found x20:(cP Xy)
% 216.15/216.50 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x21:(cP Xy)
% 219.47/219.83 Instantiate: Xy0:=Xy:fofType
% 219.47/219.83 Found x21 as proof of (cP Xy0)
% 219.47/219.83 Found x20:=(x2 x30):(cP Xy)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found (x2 x30) as proof of (cP Xy0)
% 219.47/219.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 219.47/219.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 219.47/219.83 Found x31:(cP x0)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x31 as proof of (cP Xy)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x30:(cP x0)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x30 as proof of (cP Xy)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x21:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found x21 as proof of (cP Xy0)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x20:=(x2 x5):(cP x5)
% 219.47/219.83 Found (x2 x5) as proof of (cP x5)
% 219.47/219.83 Found (x2 x5) as proof of (cP x5)
% 219.47/219.83 Found (ex_intro000 (x2 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x30:(cP x0)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x30 as proof of (cP Xy)
% 219.47/219.83 Found x20:=(x2 x31):(cP Xy)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found (x2 x31) as proof of (cP Xy0)
% 219.47/219.83 Found (x2 x31) as proof of (cP Xy0)
% 219.47/219.83 Found x30:=(x3 x40):(cP Xy0)
% 219.47/219.83 Instantiate: Xy0:=Xy:fofType
% 219.47/219.83 Found (x3 x40) as proof of (cP Xy)
% 219.47/219.83 Found (x3 x40) as proof of (cP Xy)
% 219.47/219.83 Found x23:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x23 as proof of (cP x0)
% 219.47/219.83 Found x41:(cP Xy0)
% 219.47/219.83 Found x41 as proof of (cP Xy0)
% 219.47/219.83 Found x41:(cP Xy0)
% 219.47/219.83 Instantiate: Xy0:=x0:fofType
% 219.47/219.83 Found x41 as proof of (cP x0)
% 219.47/219.83 Found x41:(cP Xy0)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found x41 as proof of (cP Xy)
% 219.47/219.83 Found x41:(cP Xy0)
% 219.47/219.83 Found x41 as proof of (cP Xy0)
% 219.47/219.83 Found x21:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x21 as proof of (cP x0)
% 219.47/219.83 Found x41:(cP Xy0)
% 219.47/219.83 Instantiate: Xy0:=x0:fofType
% 219.47/219.83 Found x41 as proof of (cP x0)
% 219.47/219.83 Found x21:(cP Xy)
% 219.47/219.83 Instantiate: Xy0:=Xy:fofType
% 219.47/219.83 Found x21 as proof of (cP Xy0)
% 219.47/219.83 Found x21:(cP Xy)
% 219.47/219.83 Found x21 as proof of (cP Xy)
% 219.47/219.83 Found x41:(cP Xy0)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found x41 as proof of (cP Xy)
% 219.47/219.83 Found x6:(cP x5)
% 219.47/219.83 Instantiate: Xy:=x5:fofType
% 219.47/219.83 Found x6 as proof of (cP Xy)
% 219.47/219.83 Found (x3 x6) as proof of (cP x0)
% 219.47/219.83 Found (x3 x6) as proof of (cP x0)
% 219.47/219.83 Found x6:(cP x5)
% 219.47/219.83 Instantiate: Xy:=x5:fofType
% 219.47/219.83 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x30:(cP x0)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x30 as proof of (cP Xy)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x30:(cP x0)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x30 as proof of (cP Xy)
% 219.47/219.83 Found x20:=(x2 x30):(cP Xy)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found (x2 x30) as proof of (cP Xy0)
% 219.47/219.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 219.47/219.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 219.47/219.83 Found x20:=(x2 x31):(cP Xy)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found (x2 x31) as proof of (cP Xy0)
% 219.47/219.83 Found (x2 x31) as proof of (cP Xy0)
% 219.47/219.83 Found x21:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=Xy0:fofType
% 219.47/219.83 Found x21 as proof of (cP Xy0)
% 219.47/219.83 Found x20:(cP Xy)
% 219.47/219.83 Instantiate: Xy:=x0:fofType
% 219.47/219.83 Found x20 as proof of (cP x0)
% 219.47/219.83 Found x30:=(x3 x40):(cP Xy0)
% 219.47/219.83 Instantiate: Xy0:=Xy:fofType
% 219.47/219.83 Found (x3 x40) as proof of (cP Xy)
% 219.47/219.83 Found (x3 x40) as proof of (cP Xy)
% 219.47/219.83 Found x30:(cP x0)
% 219.47/219.83 Instantiate: x5:=x0:fofType
% 219.47/219.83 Found x30 as proof of (cP x5)
% 219.47/219.83 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 219.47/219.83 Found ((ex_intro00 x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 219.47/219.83 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 219.47/219.83 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 219.47/219.83 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 219.47/219.83 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 220.29/220.67 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 220.29/220.67 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x30:(cP x0)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x30 as proof of (cP Xy)
% 220.29/220.67 Found x20:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x20 as proof of (cP x0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x30:(cP x0)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x30 as proof of (cP Xy)
% 220.29/220.67 Found x20:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x20 as proof of (cP x0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x30:(cP x0)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x30 as proof of (cP Xy)
% 220.29/220.67 Found x20:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x20 as proof of (cP x0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x30:(cP x0)
% 220.29/220.67 Instantiate: Xy:=x0:fofType
% 220.29/220.67 Found x30 as proof of (cP Xy)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found x21 as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x6:(cP x5)
% 220.29/220.67 Instantiate: Xy:=x5:fofType
% 220.29/220.67 Found x6 as proof of (cP Xy)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x31:(cP x0)
% 220.29/220.67 Found x31 as proof of (cP x0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x6:(cP x5)
% 220.29/220.67 Instantiate: Xy:=x5:fofType
% 220.29/220.67 Found x6 as proof of (cP Xy)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 220.29/220.67 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 220.29/220.67 Found x31:(cP x0)
% 220.29/220.67 Found x31 as proof of (cP x0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 220.29/220.67 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x31:(cP x0)
% 220.29/220.67 Found x31 as proof of (cP x0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x31:(cP x0)
% 220.29/220.67 Found x31 as proof of (cP x0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x20:=(x2 x31):(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found (x2 x31) as proof of (cP Xy0)
% 220.29/220.67 Found x21:(cP Xy)
% 220.29/220.67 Instantiate: Xy:=Xy0:fofType
% 220.29/220.67 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 220.29/220.67 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 220.29/220.67 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 220.53/220.94 Found x31:(cP x0)
% 220.53/220.94 Found x31 as proof of (cP x0)
% 220.53/220.94 Found (x2 x31) as proof of (cP Xy0)
% 220.53/220.94 Found (x2 x31) as proof of (cP Xy0)
% 220.53/220.94 Found x6:(cP x5)
% 220.53/220.94 Instantiate: Xy1:=x5:fofType
% 220.53/220.94 Found x6 as proof of (cP Xy1)
% 220.53/220.94 Found (x8 x6) as proof of (cP x0)
% 220.53/220.94 Found (x8 x6) as proof of (cP x0)
% 220.53/220.94 Found (x2 (x8 x6)) as proof of (cP Xy0)
% 220.53/220.94 Found (x2 (x8 x6)) as proof of (cP Xy0)
% 220.53/220.94 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x2 (x8 x6))) as proof of (cP Xy0)
% 220.53/220.94 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x2 (x8 x6))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 220.53/220.94 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x2 (x8 x6))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 220.53/220.94 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x2 (x8 x6)))) as proof of (cP Xy0)
% 220.53/220.94 Found ((and_rect1 (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x2 (x8 x6)))) as proof of (cP Xy0)
% 220.53/220.94 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x2 (x8 x6)))) as proof of (cP Xy0)
% 220.53/220.94 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6)))) as proof of (cP Xy0)
% 220.53/220.94 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6))))) as proof of (cP Xy0)
% 220.53/220.94 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6))))) as proof of ((cP x5)->(cP Xy0))
% 220.53/220.94 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 220.53/220.94 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6)))))) as proof of (cP Xy0)
% 220.53/220.94 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6)))))) as proof of (cP Xy0)
% 220.53/220.94 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP Xy0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x2 (x8 x6)))))) as proof of (cP Xy0)
% 220.53/220.94 Found x20:(cP Xy)
% 220.53/220.94 Instantiate: Xy:=Xy0:fofType
% 220.53/220.94 Found x20 as proof of (cP Xy0)
% 220.53/220.94 Found x8:(cP x7)
% 220.53/220.94 Instantiate: Xy:=x7:fofType
% 220.53/220.94 Found x8 as proof of (cP Xy)
% 220.53/220.94 Found (x3 x8) as proof of (cP x0)
% 220.53/220.94 Found (x3 x8) as proof of (cP x0)
% 220.53/220.94 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 220.53/220.94 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 220.53/220.94 Found (fun (x8:(cP x7))=> (x5 (x3 x8))) as proof of (cP Xy0)
% 220.53/220.94 Found x8:(cP x7)
% 220.53/220.94 Instantiate: Xy1:=x7:fofType
% 220.53/220.94 Found x8 as proof of (cP Xy1)
% 220.53/220.94 Found (x6 x8) as proof of (cP x0)
% 220.53/220.94 Found (x6 x8) as proof of (cP x0)
% 220.53/220.94 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 220.53/220.94 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 220.53/220.94 Found (fun (x8:(cP x7))=> (x2 (x6 x8))) as proof of (cP Xy0)
% 220.53/220.94 Found x31:(cP x0)
% 220.53/220.94 Found x31 as proof of (cP x0)
% 220.53/220.94 Found (x2 x31) as proof of (cP Xy0)
% 220.53/220.94 Found (x2 x31) as proof of (cP Xy0)
% 220.53/220.94 Found x20:(cP Xy)
% 220.53/220.96 Instantiate: Xy:=Xy0:fofType
% 220.53/220.96 Found x20 as proof of (cP Xy0)
% 220.53/220.96 Found x8:(cP x7)
% 220.53/220.96 Instantiate: Xy:=x7:fofType
% 220.53/220.96 Found x8 as proof of (cP Xy)
% 220.53/220.96 Found (x3 x8) as proof of (cP x0)
% 220.53/220.96 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 220.53/220.96 Found x8:(cP x7)
% 220.53/220.96 Instantiate: Xy1:=x7:fofType
% 220.53/220.96 Found x8 as proof of (cP Xy1)
% 220.53/220.96 Found (x6 x8) as proof of (cP x0)
% 220.53/220.96 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 220.53/220.96 Found x6:(cP x5)
% 220.53/220.96 Instantiate: Xy1:=x5:fofType
% 220.53/220.96 Found x6 as proof of (cP Xy1)
% 220.53/220.96 Found (x8 x6) as proof of (cP x0)
% 220.53/220.96 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 220.53/220.96 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 220.53/220.96 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 220.53/220.96 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 220.53/220.96 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 220.53/220.96 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 220.53/220.96 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 220.53/220.96 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 220.53/220.96 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 220.53/220.96 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 220.53/220.96 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 220.53/220.96 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 220.53/220.96 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 220.53/220.96 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 220.53/220.96 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 222.05/222.48 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 222.05/222.48 Found x6:(cP x5)
% 222.05/222.48 Instantiate: Xy:=x5:fofType
% 222.05/222.48 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 222.05/222.48 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 222.05/222.48 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 222.05/222.48 Found x20:=(x2 x30):(cP Xy)
% 222.05/222.48 Found (x2 x30) as proof of (cP Xy0)
% 222.05/222.48 Found (x2 x30) as proof of (cP Xy0)
% 222.05/222.48 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 222.05/222.48 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x6:(cP x5)
% 222.05/222.48 Instantiate: Xy:=x5:fofType
% 222.05/222.48 Found x6 as proof of (cP Xy)
% 222.05/222.48 Found (x3 x6) as proof of (cP x0)
% 222.05/222.48 Found (x3 x6) as proof of (cP x0)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x6:(cP x5)
% 222.05/222.48 Instantiate: Xy:=x5:fofType
% 222.05/222.48 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x20:=(x2 x31):(cP Xy)
% 222.05/222.48 Instantiate: Xy:=Xy0:fofType
% 222.05/222.48 Found (x2 x31) as proof of (cP Xy0)
% 222.05/222.48 Found (x2 x31) as proof of (cP Xy0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x31:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x31 as proof of (cP Xy)
% 222.05/222.48 Found x8:(cP x7)
% 222.05/222.48 Instantiate: Xy:=x7:fofType
% 222.05/222.48 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 222.05/222.48 Found x8:(cP x7)
% 222.05/222.48 Instantiate: Xy1:=x7:fofType
% 222.05/222.48 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 222.05/222.48 Found x31:(cP x0)
% 222.05/222.48 Instantiate: Xy0:=x0:fofType
% 222.05/222.48 Found x31 as proof of (cP Xy0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy0:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy0)
% 222.05/222.48 Found x20:=(x2 x30):(cP Xy)
% 222.05/222.48 Instantiate: Xy:=Xy0:fofType
% 222.05/222.48 Found (x2 x30) as proof of (cP Xy0)
% 222.05/222.48 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 222.05/222.48 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 222.05/222.48 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP Xy)
% 222.05/222.48 Found x20:(cP Xy)
% 222.05/222.48 Instantiate: Xy:=x0:fofType
% 222.05/222.48 Found x20 as proof of (cP x0)
% 222.05/222.48 Found x30:(cP x0)
% 222.05/222.48 Instantiate: x5:=x0:fofType
% 222.05/222.48 Found x30 as proof of (cP x5)
% 222.05/222.48 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 222.05/222.48 Found ((ex_intro00 x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 222.05/222.48 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 222.05/222.48 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 222.05/222.48 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 222.05/222.48 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 222.05/222.48 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 223.02/223.40 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x30:(cP x0)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x30 as proof of (cP Xy)
% 223.02/223.40 Found x20:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x20 as proof of (cP x0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x30:(cP x0)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x30 as proof of (cP Xy)
% 223.02/223.40 Found x20:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x20 as proof of (cP x0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x20:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x20 as proof of (cP x0)
% 223.02/223.40 Found x30:(cP x0)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x30 as proof of (cP Xy)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x30:(cP x0)
% 223.02/223.40 Instantiate: Xy:=x0:fofType
% 223.02/223.40 Found x30 as proof of (cP Xy)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found x21 as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x6:(cP x5)
% 223.02/223.40 Instantiate: Xy:=x5:fofType
% 223.02/223.40 Found x6 as proof of (cP Xy)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x31:(cP x0)
% 223.02/223.40 Found x31 as proof of (cP x0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x6:(cP x5)
% 223.02/223.40 Instantiate: Xy:=x5:fofType
% 223.02/223.40 Found x6 as proof of (cP Xy)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 223.02/223.40 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 223.02/223.40 Found x31:(cP x0)
% 223.02/223.40 Found x31 as proof of (cP x0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 223.02/223.40 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x31:(cP x0)
% 223.02/223.40 Found x31 as proof of (cP x0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x31:(cP x0)
% 223.02/223.40 Found x31 as proof of (cP x0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x20:=(x2 x31):(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found (x2 x31) as proof of (cP Xy0)
% 223.02/223.40 Found x21:(cP Xy)
% 223.02/223.40 Instantiate: Xy:=Xy0:fofType
% 223.02/223.40 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 223.02/223.40 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 223.02/223.40 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 223.02/223.40 Found x31:(cP x0)
% 223.13/223.49 Found x31 as proof of (cP x0)
% 223.13/223.49 Found (x2 x31) as proof of (cP Xy0)
% 223.13/223.49 Found (x2 x31) as proof of (cP Xy0)
% 223.13/223.49 Found x6:(cP x5)
% 223.13/223.49 Instantiate: Xy:=x5:fofType
% 223.13/223.49 Found x6 as proof of (cP Xy)
% 223.13/223.49 Found (x3 x6) as proof of (cP x0)
% 223.13/223.49 Found (x3 x6) as proof of (cP x0)
% 223.13/223.49 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 223.13/223.49 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 223.13/223.49 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (cP Xy0)
% 223.13/223.49 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 223.13/223.49 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 223.13/223.49 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 223.13/223.49 Found ((and_rect1 (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 223.13/223.49 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 223.13/223.49 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 223.13/223.49 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6))))) as proof of (cP Xy0)
% 223.13/223.49 Found x20:=(x2 x31):(cP Xy)
% 223.13/223.49 Instantiate: Xy:=Xy0:fofType
% 223.13/223.49 Found (x2 x31) as proof of (cP Xy0)
% 223.13/223.49 Found (x2 x31) as proof of (cP Xy0)
% 223.13/223.49 Found x20:(cP Xy)
% 223.13/223.49 Instantiate: Xy:=Xy0:fofType
% 223.13/223.49 Found x20 as proof of (cP Xy0)
% 223.13/223.49 Found x8:(cP x7)
% 223.13/223.49 Instantiate: Xy1:=x7:fofType
% 223.13/223.49 Found x8 as proof of (cP Xy1)
% 223.13/223.49 Found (x6 x8) as proof of (cP x0)
% 223.13/223.49 Found (x6 x8) as proof of (cP x0)
% 223.13/223.49 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 223.13/223.49 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 223.13/223.49 Found (fun (x8:(cP x7))=> (x2 (x6 x8))) as proof of (cP Xy0)
% 223.13/223.49 Found x8:(cP x7)
% 223.13/223.49 Instantiate: Xy:=x7:fofType
% 223.13/223.49 Found x8 as proof of (cP Xy)
% 223.13/223.49 Found (x3 x8) as proof of (cP x0)
% 223.13/223.49 Found (x3 x8) as proof of (cP x0)
% 223.13/223.49 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 223.13/223.49 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 223.13/223.49 Found (fun (x8:(cP x7))=> (x5 (x3 x8))) as proof of (cP Xy0)
% 223.13/223.49 Found x6:(cP x5)
% 223.13/223.49 Instantiate: Xy1:=x5:fofType
% 223.13/223.49 Found x6 as proof of (cP Xy1)
% 223.13/223.49 Found (x8 x6) as proof of (cP x0)
% 223.13/223.49 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 223.13/223.49 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 223.13/223.49 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 223.13/223.49 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.13/223.49 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.13/223.49 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.13/223.49 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.13/223.49 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.13/223.49 Found (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP Xy0)
% 223.13/223.49 Found (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP Xy0)
% 223.26/223.61 Found (fun (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP Xy0)
% 223.26/223.61 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of ((cP x5)->(cP Xy0))
% 223.26/223.61 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 223.26/223.61 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 223.26/223.61 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 223.26/223.61 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 223.26/223.61 Found x31:(cP x0)
% 223.26/223.61 Found x31 as proof of (cP x0)
% 223.26/223.61 Found (x2 x31) as proof of (cP Xy0)
% 223.26/223.61 Found (x2 x31) as proof of (cP Xy0)
% 223.26/223.61 Found x8:(cP x7)
% 223.26/223.61 Instantiate: Xy:=x7:fofType
% 223.26/223.61 Found x8 as proof of (cP Xy)
% 223.26/223.61 Found (x3 x8) as proof of (cP x0)
% 223.26/223.61 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 223.26/223.61 Found x20:(cP Xy)
% 223.26/223.61 Instantiate: Xy:=Xy0:fofType
% 223.26/223.61 Found x20 as proof of (cP Xy0)
% 223.26/223.61 Found x8:(cP x7)
% 223.26/223.61 Instantiate: Xy1:=x7:fofType
% 223.26/223.61 Found x8 as proof of (cP Xy1)
% 223.26/223.61 Found (x6 x8) as proof of (cP x0)
% 223.26/223.61 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 223.26/223.61 Found x6:(cP x5)
% 223.26/223.61 Instantiate: Xy1:=x5:fofType
% 223.26/223.61 Found x6 as proof of (cP Xy1)
% 223.26/223.61 Found (x8 x6) as proof of (cP x0)
% 223.26/223.61 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 223.26/223.61 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 223.26/223.61 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 223.26/223.61 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.26/223.61 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.26/223.61 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.26/223.61 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 223.26/223.61 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 223.26/223.61 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 223.74/224.11 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 223.74/224.11 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 223.74/224.11 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 223.74/224.11 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 223.74/224.11 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 223.74/224.11 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 223.74/224.11 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 223.74/224.11 Found x6:(cP x5)
% 223.74/224.11 Instantiate: Xy:=x5:fofType
% 223.74/224.11 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 223.74/224.11 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 223.74/224.11 Found x30:(cP x0)
% 223.74/224.11 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 223.74/224.11 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 223.74/224.11 Found x20:(cP Xy)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x20 as proof of (cP x0)
% 223.74/224.11 Found x20:(cP Xy)
% 223.74/224.11 Instantiate: Xy0:=Xy:fofType
% 223.74/224.11 Found x20 as proof of (cP Xy0)
% 223.74/224.11 Found x20:(cP Xy)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x20 as proof of (cP x0)
% 223.74/224.11 Found x21:(cP Xy)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x21 as proof of (cP x0)
% 223.74/224.11 Found x30:(cP x0)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x30 as proof of (cP Xy)
% 223.74/224.11 Found x20:(cP Xy)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x20 as proof of (cP x0)
% 223.74/224.11 Found x21:(cP Xy)
% 223.74/224.11 Instantiate: Xy:=Xy0:fofType
% 223.74/224.11 Found x21 as proof of (cP Xy0)
% 223.74/224.11 Found x30:(cP x0)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x30 as proof of (cP Xy)
% 223.74/224.11 Found x20:(cP Xy)
% 223.74/224.11 Instantiate: Xy:=x0:fofType
% 223.74/224.11 Found x20 as proof of (cP x0)
% 223.74/224.11 Found x40:(cP Xy0)
% 223.74/224.11 Instantiate: Xy0:=x0:fofType
% 223.74/224.11 Found x40 as proof of (cP x0)
% 223.74/224.11 Found x40:(cP Xy0)
% 223.74/224.11 Instantiate: Xy0:=x0:fofType
% 223.74/224.11 Found x40 as proof of (cP x0)
% 223.74/224.11 Found x40:(cP Xy0)
% 223.74/224.11 Instantiate: Xy0:=x0:fofType
% 223.74/224.11 Found x40 as proof of (cP x0)
% 223.74/224.11 Found x20:=(x2 x30):(cP Xy)
% 223.74/224.11 Found (x2 x30) as proof of (cP Xy0)
% 223.74/224.11 Found (x2 x30) as proof of (cP Xy0)
% 223.74/224.11 Found (x2 x30) as proof of (cP Xy0)
% 223.74/224.11 Found x40:(cP Xy0)
% 223.74/224.11 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x40 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x30:(cP x0)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x30 as proof of (cP Xy)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy0:=Xy:fofType
% 226.14/226.49 Found x20 as proof of (cP Xy0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Found x20 as proof of (cP Xy)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy0:=Xy:fofType
% 226.14/226.49 Found x20 as proof of (cP Xy0)
% 226.14/226.49 Found x32:(cP x0)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x32 as proof of (cP Xy)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy0:=Xy:fofType
% 226.14/226.49 Found x20 as proof of (cP Xy0)
% 226.14/226.49 Found x40:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x40 as proof of (cP x0)
% 226.14/226.49 Found x21:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x21 as proof of (cP x0)
% 226.14/226.49 Found x22:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x22 as proof of (cP x0)
% 226.14/226.49 Found x8:(cP x7)
% 226.14/226.49 Instantiate: Xy:=x7:fofType
% 226.14/226.49 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 226.14/226.49 Found x8:(cP x7)
% 226.14/226.49 Instantiate: Xy1:=x7:fofType
% 226.14/226.49 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 226.14/226.49 Found x41:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x41 as proof of (cP x0)
% 226.14/226.49 Found x41:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x41 as proof of (cP x0)
% 226.14/226.49 Found x40:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x40 as proof of (cP x0)
% 226.14/226.49 Found x21:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x21 as proof of (cP x0)
% 226.14/226.49 Found x22:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x22 as proof of (cP x0)
% 226.14/226.49 Found x21:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x21 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:=(x2 x31):(cP Xy)
% 226.14/226.49 Instantiate: Xy:=Xy0:fofType
% 226.14/226.49 Found (x2 x31) as proof of (cP Xy0)
% 226.14/226.49 Found (x2 x31) as proof of (cP Xy0)
% 226.14/226.49 Found x41:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x41 as proof of (cP x0)
% 226.14/226.49 Found x41:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x41 as proof of (cP x0)
% 226.14/226.49 Found x31:(cP x0)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x31 as proof of (cP Xy)
% 226.14/226.49 Found x31:(cP x0)
% 226.14/226.49 Found x31 as proof of (cP x0)
% 226.14/226.49 Found x21:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x21 as proof of (cP x0)
% 226.14/226.49 Found x20:=(x2 x30):(cP Xy)
% 226.14/226.49 Instantiate: Xy:=Xy0:fofType
% 226.14/226.49 Found (x2 x30) as proof of (cP Xy0)
% 226.14/226.49 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 226.14/226.49 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 226.14/226.49 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 226.14/226.49 Found x30:(cP x0)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x30 as proof of (cP Xy)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x30:(cP x0)
% 226.14/226.49 Found x30 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x30:(cP x0)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x30 as proof of (cP Xy)
% 226.14/226.49 Found x30:(cP x0)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x30 as proof of (cP Xy)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x20 as proof of (cP x0)
% 226.14/226.49 Found x42:(cP Xy0)
% 226.14/226.49 Instantiate: Xy:=Xy0:fofType
% 226.14/226.49 Found x42 as proof of (cP Xy)
% 226.14/226.49 Found x30:=(x3 x40):(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=Xy:fofType
% 226.14/226.49 Found (x3 x40) as proof of (cP Xy)
% 226.14/226.49 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 226.14/226.49 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 226.14/226.49 Found x42:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x42 as proof of (cP x0)
% 226.14/226.49 Found x20:=(x2 x30):(cP Xy)
% 226.14/226.49 Found (x2 x30) as proof of (cP Xy0)
% 226.14/226.49 Found (x2 x30) as proof of (cP Xy0)
% 226.14/226.49 Found (x2 x30) as proof of (cP Xy0)
% 226.14/226.49 Found x42:(cP Xy0)
% 226.14/226.49 Instantiate: Xy0:=x0:fofType
% 226.14/226.49 Found x42 as proof of (cP x0)
% 226.14/226.49 Found x21:(cP Xy)
% 226.14/226.49 Instantiate: Xy:=x0:fofType
% 226.14/226.49 Found x21 as proof of (cP x0)
% 226.14/226.49 Found x20:(cP Xy)
% 226.14/226.49 Instantiate: x5:=Xy:fofType
% 226.14/226.49 Found x20 as proof of (cP x5)
% 226.82/227.19 Found (ex_intro000 x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found ((ex_intro00 Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 226.82/227.19 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x20:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x20 as proof of (cP x0)
% 226.82/227.19 Found x30:(cP x0)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x30 as proof of (cP Xy)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x30:(cP x0)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x30 as proof of (cP Xy)
% 226.82/227.19 Found x20:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x20 as proof of (cP x0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x30:(cP x0)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x30 as proof of (cP Xy)
% 226.82/227.19 Found x20:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x20 as proof of (cP x0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x30:(cP x0)
% 226.82/227.19 Instantiate: Xy:=x0:fofType
% 226.82/227.19 Found x30 as proof of (cP Xy)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found x21 as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x6:(cP x5)
% 226.82/227.19 Instantiate: Xy:=x5:fofType
% 226.82/227.19 Found x6 as proof of (cP Xy)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x31:(cP x0)
% 226.82/227.19 Found x31 as proof of (cP x0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 226.82/227.19 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 226.82/227.19 Found x6:(cP x5)
% 226.82/227.19 Instantiate: Xy:=x5:fofType
% 226.82/227.19 Found x6 as proof of (cP Xy)
% 226.82/227.19 Found x31:(cP x0)
% 226.82/227.19 Found x31 as proof of (cP x0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x20:=(x2 x31):(cP Xy)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found (x2 x31) as proof of (cP Xy0)
% 226.82/227.19 Found x21:(cP Xy)
% 226.82/227.19 Instantiate: Xy:=Xy0:fofType
% 226.82/227.19 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 226.82/227.19 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 227.14/227.51 Found x31:(cP x0)
% 227.14/227.51 Found x31 as proof of (cP x0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found x31:(cP x0)
% 227.14/227.51 Found x31 as proof of (cP x0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found x20:=(x2 x31):(cP Xy)
% 227.14/227.51 Instantiate: Xy:=Xy0:fofType
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found x21:(cP Xy)
% 227.14/227.51 Instantiate: Xy:=Xy0:fofType
% 227.14/227.51 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 227.14/227.51 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 227.14/227.51 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 227.14/227.51 Found x31:(cP x0)
% 227.14/227.51 Found x31 as proof of (cP x0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found x6:(cP x5)
% 227.14/227.51 Instantiate: Xy:=x5:fofType
% 227.14/227.51 Found x6 as proof of (cP Xy)
% 227.14/227.51 Found (x3 x6) as proof of (cP x0)
% 227.14/227.51 Found (x3 x6) as proof of (cP x0)
% 227.14/227.51 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 227.14/227.51 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 227.14/227.51 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (cP Xy0)
% 227.14/227.51 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 227.14/227.51 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 227.14/227.51 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 227.14/227.51 Found ((and_rect1 (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 227.14/227.51 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 227.14/227.51 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 227.14/227.51 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6))))) as proof of (cP Xy0)
% 227.14/227.51 Found x20:=(x2 x31):(cP Xy)
% 227.14/227.51 Instantiate: Xy:=Xy0:fofType
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 x31) as proof of (cP Xy0)
% 227.14/227.51 Found x20:(cP Xy)
% 227.14/227.51 Instantiate: Xy:=Xy0:fofType
% 227.14/227.51 Found x20 as proof of (cP Xy0)
% 227.14/227.51 Found x8:(cP x7)
% 227.14/227.51 Instantiate: Xy:=x7:fofType
% 227.14/227.51 Found x8 as proof of (cP Xy)
% 227.14/227.51 Found (x3 x8) as proof of (cP x0)
% 227.14/227.51 Found (x3 x8) as proof of (cP x0)
% 227.14/227.51 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 227.14/227.51 Found (x5 (x3 x8)) as proof of (cP Xy0)
% 227.14/227.51 Found (fun (x8:(cP x7))=> (x5 (x3 x8))) as proof of (cP Xy0)
% 227.14/227.51 Found x8:(cP x7)
% 227.14/227.51 Instantiate: Xy1:=x7:fofType
% 227.14/227.51 Found x8 as proof of (cP Xy1)
% 227.14/227.51 Found (x6 x8) as proof of (cP x0)
% 227.14/227.51 Found (x6 x8) as proof of (cP x0)
% 227.14/227.51 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 227.14/227.51 Found (x2 (x6 x8)) as proof of (cP Xy0)
% 227.14/227.51 Found (fun (x8:(cP x7))=> (x2 (x6 x8))) as proof of (cP Xy0)
% 227.14/227.51 Found x6:(cP x5)
% 227.14/227.51 Instantiate: Xy1:=x5:fofType
% 227.14/227.51 Found x6 as proof of (cP Xy1)
% 227.14/227.51 Found (x8 x6) as proof of (cP x0)
% 227.14/227.51 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 227.14/227.51 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 227.14/227.51 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 227.14/227.51 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.14/227.51 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.14/227.51 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.14/227.51 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.24/227.64 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.24/227.64 Found (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP Xy0)
% 227.24/227.64 Found (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP Xy0)
% 227.24/227.64 Found (fun (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP Xy0)
% 227.24/227.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of ((cP x5)->(cP Xy0))
% 227.24/227.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 227.24/227.64 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 227.24/227.64 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 227.24/227.64 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 227.24/227.64 Found x31:(cP x0)
% 227.24/227.64 Found x31 as proof of (cP x0)
% 227.24/227.64 Found (x2 x31) as proof of (cP Xy0)
% 227.24/227.64 Found (x2 x31) as proof of (cP Xy0)
% 227.24/227.64 Found x8:(cP x7)
% 227.24/227.64 Instantiate: Xy:=x7:fofType
% 227.24/227.64 Found x8 as proof of (cP Xy)
% 227.24/227.64 Found (x3 x8) as proof of (cP x0)
% 227.24/227.64 Found (fun (x8:(cP x7))=> (x3 x8)) as proof of (cP x0)
% 227.24/227.64 Found x20:(cP Xy)
% 227.24/227.64 Instantiate: Xy:=Xy0:fofType
% 227.24/227.64 Found x20 as proof of (cP Xy0)
% 227.24/227.64 Found x8:(cP x7)
% 227.24/227.64 Instantiate: Xy1:=x7:fofType
% 227.24/227.64 Found x8 as proof of (cP Xy1)
% 227.24/227.64 Found (x6 x8) as proof of (cP x0)
% 227.24/227.64 Found (fun (x8:(cP x7))=> (x6 x8)) as proof of (cP x0)
% 227.24/227.64 Found x6:(cP x5)
% 227.24/227.64 Instantiate: Xy1:=x5:fofType
% 227.24/227.64 Found x6 as proof of (cP Xy1)
% 227.24/227.64 Found (x8 x6) as proof of (cP x0)
% 227.24/227.64 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (cP x0)
% 227.24/227.64 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP Xy1)->(cP x0))->(cP x0))
% 227.24/227.64 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP x0)))
% 227.24/227.64 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.24/227.64 Found ((and_rect1 (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 227.24/227.64 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP x0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 228.46/228.87 Found (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))) as proof of (cP x0)
% 228.46/228.87 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (cP x0)
% 228.46/228.87 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of ((cP x5)->(cP x0))
% 228.46/228.87 Found (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 228.46/228.87 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 228.46/228.87 Found ((ex_ind1 (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 228.46/228.87 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 228.46/228.87 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6))))) as proof of (cP x0)
% 228.46/228.87 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 228.46/228.87 Found (x2 (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP x0)) (fun (x5:fofType) (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP x5))->(((cP x5)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP x5))) ((cP x5)->(cP x0))) P) x7) (x1 x5))) (cP x0)) (fun (x7:((cP x0)->(cP x5))) (x8:((cP x5)->(cP x0)))=> (x8 x6)))))) as proof of (cP Xy0)
% 228.46/228.87 Found x6:(cP x5)
% 228.46/228.87 Instantiate: Xy:=x5:fofType
% 228.46/228.87 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 228.46/228.87 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 228.46/228.87 Found x30:(cP x0)
% 228.46/228.87 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 228.46/228.87 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 228.46/228.87 Found x30:(cP x0)
% 228.46/228.87 Instantiate: Xy:=x0:fofType
% 228.46/228.87 Found x30 as proof of (cP Xy)
% 228.46/228.87 Found x20:(cP Xy)
% 228.46/228.87 Instantiate: Xy:=x0:fofType
% 228.46/228.87 Found x20 as proof of (cP x0)
% 228.46/228.87 Found x20:(cP Xy)
% 228.46/228.87 Instantiate: Xy:=Xy0:fofType
% 228.46/228.87 Found x20 as proof of (cP Xy0)
% 228.46/228.87 Found x50:(cP Xy1)
% 228.46/228.87 Instantiate: Xy1:=Xy0:fofType
% 228.46/228.87 Found x50 as proof of (cP Xy0)
% 228.46/228.87 Found x8:(cP x7)
% 228.46/228.87 Instantiate: Xy:=x7:fofType
% 228.46/228.87 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy)
% 232.74/233.10 Found x8:(cP x7)
% 232.74/233.10 Instantiate: Xy1:=x7:fofType
% 232.74/233.10 Found (fun (x8:(cP x7))=> x8) as proof of (cP Xy1)
% 232.74/233.10 Found x20:=(x2 x30):(cP Xy)
% 232.74/233.10 Instantiate: Xy:=Xy0:fofType
% 232.74/233.10 Found (x2 x30) as proof of (cP Xy0)
% 232.74/233.10 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 232.74/233.10 Found x6:(cP x5)
% 232.74/233.10 Instantiate: Xy:=x5:fofType
% 232.74/233.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 232.74/233.10 Found x30:=(x3 x40):(cP Xy0)
% 232.74/233.10 Instantiate: Xy0:=Xy:fofType
% 232.74/233.10 Found (x3 x40) as proof of (cP Xy)
% 232.74/233.10 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 232.74/233.10 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 232.74/233.10 Found x20:=(x2 x30):(cP Xy)
% 232.74/233.10 Found (x2 x30) as proof of (cP Xy0)
% 232.74/233.10 Found (x2 x30) as proof of (cP Xy0)
% 232.74/233.10 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 232.74/233.10 Found x31:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x31 as proof of (cP Xy)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x31:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x31 as proof of (cP Xy)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=Xy0:fofType
% 232.74/233.10 Found x20 as proof of (cP Xy0)
% 232.74/233.10 Found x50:(cP Xy1)
% 232.74/233.10 Instantiate: Xy1:=Xy0:fofType
% 232.74/233.10 Found x50 as proof of (cP Xy0)
% 232.74/233.10 Found x21:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x21 as proof of (cP x0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x6:(cP x5)
% 232.74/233.10 Instantiate: Xy:=x5:fofType
% 232.74/233.10 Found x6 as proof of (cP Xy)
% 232.74/233.10 Found (x3 x6) as proof of (cP x0)
% 232.74/233.10 Found (x3 x6) as proof of (cP x0)
% 232.74/233.10 Found x6:(cP x5)
% 232.74/233.10 Instantiate: Xy:=x5:fofType
% 232.74/233.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 232.74/233.10 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 232.74/233.10 Found x6:(cP x5)
% 232.74/233.10 Instantiate: Xy:=x5:fofType
% 232.74/233.10 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 232.74/233.10 Found x40:(cP Xy0)
% 232.74/233.10 Instantiate: Xy0:=x0:fofType
% 232.74/233.10 Found x40 as proof of (cP x0)
% 232.74/233.10 Found x40:(cP Xy0)
% 232.74/233.10 Instantiate: Xy0:=x0:fofType
% 232.74/233.10 Found x40 as proof of (cP x0)
% 232.74/233.10 Found x20:=(x2 x30):(cP Xy)
% 232.74/233.10 Found (x2 x30) as proof of (cP Xy0)
% 232.74/233.10 Found (x2 x30) as proof of (cP Xy0)
% 232.74/233.10 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 232.74/233.10 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x30 as proof of (cP Xy)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x30 as proof of (cP Xy)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x30 as proof of (cP Xy)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Instantiate: Xy0:=x0:fofType
% 232.74/233.10 Found x30 as proof of (cP Xy0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy0:=Xy:fofType
% 232.74/233.10 Found x20 as proof of (cP Xy0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x32:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x32 as proof of (cP Xy)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x31:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x31 as proof of (cP Xy)
% 232.74/233.10 Found x30:(cP x0)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x30 as proof of (cP Xy)
% 232.74/233.10 Found x21:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x21 as proof of (cP x0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy0:=Xy:fofType
% 232.74/233.10 Found x20 as proof of (cP Xy0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 232.74/233.10 Found x20:(cP Xy)
% 232.74/233.10 Instantiate: Xy:=x0:fofType
% 232.74/233.10 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP Xy)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP Xy)
% 234.73/235.11 Found x6:(cP x5)
% 234.73/235.11 Instantiate: Xy:=x5:fofType
% 234.73/235.11 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 234.73/235.11 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=Xy0:fofType
% 234.73/235.11 Found x20 as proof of (cP Xy0)
% 234.73/235.11 Found x6:(cP x5)
% 234.73/235.11 Instantiate: Xy:=x5:fofType
% 234.73/235.11 Found x6 as proof of (cP Xy)
% 234.73/235.11 Found (x3 x6) as proof of (cP x0)
% 234.73/235.11 Found (x3 x6) as proof of (cP x0)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 234.73/235.11 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 234.73/235.11 Found x50:(cP Xy1)
% 234.73/235.11 Instantiate: Xy1:=Xy0:fofType
% 234.73/235.11 Found x50 as proof of (cP Xy0)
% 234.73/235.11 Found x30:(cP Xy0)
% 234.73/235.11 Instantiate: Xy0:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP x0)
% 234.73/235.11 Found x6:(cP x5)
% 234.73/235.11 Instantiate: Xy:=x5:fofType
% 234.73/235.11 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 234.73/235.11 Found x22:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x22 as proof of (cP x0)
% 234.73/235.11 Found x21:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x21 as proof of (cP x0)
% 234.73/235.11 Found x21:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x21 as proof of (cP x0)
% 234.73/235.11 Found x41:(cP Xy0)
% 234.73/235.11 Instantiate: Xy0:=x0:fofType
% 234.73/235.11 Found x41 as proof of (cP x0)
% 234.73/235.11 Found x22:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x22 as proof of (cP x0)
% 234.73/235.11 Found x40:(cP Xy0)
% 234.73/235.11 Instantiate: Xy0:=x0:fofType
% 234.73/235.11 Found x40 as proof of (cP x0)
% 234.73/235.11 Found x40:(cP Xy0)
% 234.73/235.11 Instantiate: Xy0:=x0:fofType
% 234.73/235.11 Found x40 as proof of (cP x0)
% 234.73/235.11 Found x41:(cP Xy0)
% 234.73/235.11 Instantiate: Xy0:=x0:fofType
% 234.73/235.11 Found x41 as proof of (cP x0)
% 234.73/235.11 Found x31:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x31 as proof of (cP Xy)
% 234.73/235.11 Found x31:(cP x0)
% 234.73/235.11 Instantiate: Xy0:=x0:fofType
% 234.73/235.11 Found x31 as proof of (cP Xy0)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 234.73/235.11 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 234.73/235.11 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 234.73/235.11 Found x6:(cP x5)
% 234.73/235.11 Instantiate: Xy:=x5:fofType
% 234.73/235.11 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:=(x2 x30):(cP Xy)
% 234.73/235.11 Found (x2 x30) as proof of (cP Xy0)
% 234.73/235.11 Found (x2 x30) as proof of (cP Xy0)
% 234.73/235.11 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 234.73/235.11 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy0:=Xy:fofType
% 234.73/235.11 Found x20 as proof of (cP Xy0)
% 234.73/235.11 Found x30:=(x3 x40):(cP Xy0)
% 234.73/235.11 Instantiate: Xy0:=Xy:fofType
% 234.73/235.11 Found (x3 x40) as proof of (cP Xy)
% 234.73/235.11 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 234.73/235.11 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 234.73/235.11 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP Xy)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP Xy)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP Xy)
% 234.73/235.11 Found x20:=(x2 x30):(cP Xy)
% 234.73/235.11 Found (x2 x30) as proof of (cP Xy0)
% 234.73/235.11 Found (x2 x30) as proof of (cP Xy0)
% 234.73/235.11 Found (x2 x30) as proof of (cP Xy0)
% 234.73/235.11 Found x30:(cP x0)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x30 as proof of (cP Xy)
% 234.73/235.11 Found x20:(cP Xy)
% 234.73/235.11 Instantiate: Xy:=x0:fofType
% 234.73/235.11 Found x20 as proof of (cP x0)
% 234.73/235.11 Found x50:(cP Xy1)
% 234.73/235.11 Instantiate: Xy1:=Xy0:fofType
% 234.73/235.11 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 234.73/235.11 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 238.26/238.68 Found x20:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=Xy0:fofType
% 238.26/238.68 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 238.26/238.68 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 238.26/238.68 Found x6:(cP x5)
% 238.26/238.68 Instantiate: Xy:=x5:fofType
% 238.26/238.68 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 238.26/238.68 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP Xy)
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 238.26/238.68 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 238.26/238.68 Found x21:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x21 as proof of (cP x0)
% 238.26/238.68 Found x20:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x20 as proof of (cP x0)
% 238.26/238.68 Found x31:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x31 as proof of (cP Xy)
% 238.26/238.68 Found x4:(cP x3)
% 238.26/238.68 Instantiate: Xy0:=x3:fofType
% 238.26/238.68 Found x4 as proof of (cP Xy0)
% 238.26/238.68 Found (x6 x4) as proof of (cP x0)
% 238.26/238.68 Found (x6 x4) as proof of (cP x0)
% 238.26/238.68 Found x6:(cP x5)
% 238.26/238.68 Instantiate: Xy:=x5:fofType
% 238.26/238.68 Found x6 as proof of (cP Xy)
% 238.26/238.68 Found (x3 x6) as proof of (cP x0)
% 238.26/238.68 Found (x3 x6) as proof of (cP x0)
% 238.26/238.68 Found x30:=(x3 x40):(cP Xy0)
% 238.26/238.68 Instantiate: Xy0:=Xy:fofType
% 238.26/238.68 Found (x3 x40) as proof of (cP Xy)
% 238.26/238.68 Found (x3 x40) as proof of (cP Xy)
% 238.26/238.68 Found x30:(cP Xy0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP x0)
% 238.26/238.68 Found x6:(cP x5)
% 238.26/238.68 Instantiate: Xy:=x5:fofType
% 238.26/238.68 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP Xy)
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP Xy)
% 238.26/238.68 Found x20:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x20 as proof of (cP x0)
% 238.26/238.68 Found x20:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x20 as proof of (cP x0)
% 238.26/238.68 Found x30:=(x3 x40):(cP Xy0)
% 238.26/238.68 Instantiate: Xy0:=Xy:fofType
% 238.26/238.68 Found (x3 x40) as proof of (cP Xy)
% 238.26/238.68 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 238.26/238.68 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 238.26/238.68 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 238.26/238.68 Found x20:=(x2 x30):(cP Xy)
% 238.26/238.68 Found (x2 x30) as proof of (cP Xy0)
% 238.26/238.68 Found (x2 x30) as proof of (cP Xy0)
% 238.26/238.68 Found (x2 x30) as proof of (cP Xy0)
% 238.26/238.68 Found x31:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x31 as proof of (cP Xy0)
% 238.26/238.68 Found x20:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x20 as proof of (cP x0)
% 238.26/238.68 Found x32:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x32 as proof of (cP Xy)
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP Xy)
% 238.26/238.68 Found x50:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x50 as proof of (cP Xy)
% 238.26/238.68 Found x51:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x51 as proof of (cP Xy0)
% 238.26/238.68 Found x31:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x31 as proof of (cP Xy)
% 238.26/238.68 Found x31:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x31 as proof of (cP Xy0)
% 238.26/238.68 Found x50:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x50 as proof of (cP Xy0)
% 238.26/238.68 Found x51:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x51 as proof of (cP Xy0)
% 238.26/238.68 Found x20:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=Xy0:fofType
% 238.26/238.68 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 238.26/238.68 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 238.26/238.68 Found x51:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x51 as proof of (cP Xy)
% 238.26/238.68 Found x52:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x52 as proof of (cP Xy)
% 238.26/238.68 Found x50:(cP Xy1)
% 238.26/238.68 Instantiate: Xy1:=Xy0:fofType
% 238.26/238.68 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 238.26/238.68 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 238.26/238.68 Found x51:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x51 as proof of (cP Xy)
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP Xy0)
% 238.26/238.68 Found x30:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x30 as proof of (cP Xy)
% 238.26/238.68 Found x31:(cP x0)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x31 as proof of (cP Xy)
% 238.26/238.68 Found x32:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x32 as proof of (cP Xy0)
% 238.26/238.68 Found x52:(cP x0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 238.26/238.68 Found x52 as proof of (cP Xy0)
% 238.26/238.68 Found x21:(cP Xy)
% 238.26/238.68 Instantiate: Xy:=x0:fofType
% 238.26/238.68 Found x21 as proof of (cP x0)
% 238.26/238.68 Found x41:(cP Xy0)
% 238.26/238.68 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x41 as proof of (cP x0)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Found x30 as proof of (cP x0)
% 240.10/240.46 Found (x2 x30) as proof of (cP Xy0)
% 240.10/240.46 Found (x2 x30) as proof of (cP Xy0)
% 240.10/240.46 Found (x2 x30) as proof of (cP Xy0)
% 240.10/240.46 Found x21:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x21 as proof of (cP x0)
% 240.10/240.46 Found x41:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x41 as proof of (cP x0)
% 240.10/240.46 Found x41:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x41 as proof of (cP x0)
% 240.10/240.46 Found x41:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x41 as proof of (cP x0)
% 240.10/240.46 Found x21:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x21 as proof of (cP x0)
% 240.10/240.46 Found x31:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x31 as proof of (cP Xy)
% 240.10/240.46 Found x21:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x21 as proof of (cP x0)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x6:(cP x5)
% 240.10/240.46 Instantiate: Xy:=x5:fofType
% 240.10/240.46 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 240.10/240.46 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 240.10/240.46 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 240.10/240.46 Found x40:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x40 as proof of (cP x0)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x40:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x40 as proof of (cP x0)
% 240.10/240.46 Found x31:(cP x0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x31 as proof of (cP Xy0)
% 240.10/240.46 Found x50:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x50 as proof of (cP Xy)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Found x30 as proof of (cP x0)
% 240.10/240.46 Found x51:(cP x0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x51 as proof of (cP Xy0)
% 240.10/240.46 Found x31:(cP x0)
% 240.10/240.46 Found x31 as proof of (cP x0)
% 240.10/240.46 Found x42:(cP Xy0)
% 240.10/240.46 Instantiate: Xy:=Xy0:fofType
% 240.10/240.46 Found x42 as proof of (cP Xy)
% 240.10/240.46 Found x51:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x51 as proof of (cP Xy)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Found x30 as proof of (cP x0)
% 240.10/240.46 Found x42:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x42 as proof of (cP x0)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy0)
% 240.10/240.46 Found x31:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x31 as proof of (cP Xy)
% 240.10/240.46 Found x31:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x31 as proof of (cP Xy)
% 240.10/240.46 Found x51:(cP x0)
% 240.10/240.46 Found x51 as proof of (cP x0)
% 240.10/240.46 Found x50:(cP x0)
% 240.10/240.46 Found x50 as proof of (cP x0)
% 240.10/240.46 Found x42:(cP Xy0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x42 as proof of (cP x0)
% 240.10/240.46 Found x4:(cP x3)
% 240.10/240.46 Instantiate: Xy0:=x3:fofType
% 240.10/240.46 Found x4 as proof of (cP Xy0)
% 240.10/240.46 Found (x6 x4) as proof of (cP x0)
% 240.10/240.46 Found (x6 x4) as proof of (cP x0)
% 240.10/240.46 Found x50:(cP x0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x50 as proof of (cP Xy0)
% 240.10/240.46 Found x50:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x50 as proof of (cP Xy)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy)
% 240.10/240.46 Found x22:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x22 as proof of (cP x0)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy0)
% 240.10/240.46 Found x50:(cP x0)
% 240.10/240.46 Instantiate: Xy0:=x0:fofType
% 240.10/240.46 Found x50 as proof of (cP Xy0)
% 240.10/240.46 Found x50:(cP x0)
% 240.10/240.46 Found x50 as proof of (cP x0)
% 240.10/240.46 Found x22:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x22 as proof of (cP x0)
% 240.10/240.46 Found x22:(cP Xy)
% 240.10/240.46 Instantiate: Xy0:=Xy:fofType
% 240.10/240.46 Found x22 as proof of (cP Xy0)
% 240.10/240.46 Found x21:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x21 as proof of (cP x0)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy)
% 240.10/240.46 Found x20:(cP Xy)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x20 as proof of (cP x0)
% 240.10/240.46 Found x30:(cP x0)
% 240.10/240.46 Instantiate: Xy:=x0:fofType
% 240.10/240.46 Found x30 as proof of (cP Xy)
% 240.10/240.46 Found x50:=(x5 x60):(cP Xy0)
% 240.10/240.46 Found (x5 x60) as proof of (cP Xy)
% 240.10/240.46 Found (x5 x60) as proof of (cP Xy)
% 240.10/240.46 Found (x5 x60) as proof of (cP Xy)
% 242.72/243.13 Found x30:(cP x0)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x30 as proof of (cP Xy)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x21:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x21 as proof of (cP x0)
% 242.72/243.13 Found x20:=(x2 x30):(cP Xy)
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 242.72/243.13 Found x20:=(x2 x30):(cP Xy)
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 242.72/243.13 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 242.72/243.13 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 242.72/243.13 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=Xy0:fofType
% 242.72/243.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 242.72/243.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x50:(cP Xy1)
% 242.72/243.13 Instantiate: Xy1:=Xy0:fofType
% 242.72/243.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (cP Xy0)
% 242.72/243.13 Found (fun (x6:((cP Xy1)->(cP x0)))=> x50) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 242.72/243.13 Found x30:(cP x0)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x30 as proof of (cP Xy)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy0:=Xy:fofType
% 242.72/243.13 Found x20 as proof of (cP Xy0)
% 242.72/243.13 Found x30:(cP x0)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x30 as proof of (cP Xy)
% 242.72/243.13 Found x6:(cP x5)
% 242.72/243.13 Instantiate: Xy0:=x5:fofType
% 242.72/243.13 Found x6 as proof of (cP Xy0)
% 242.72/243.13 Found (x4 x6) as proof of (cP x0)
% 242.72/243.13 Found (x4 x6) as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x21:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=Xy0:fofType
% 242.72/243.13 Found x21 as proof of (cP Xy0)
% 242.72/243.13 Found x32:(cP x0)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x32 as proof of (cP Xy)
% 242.72/243.13 Found x6:(cP x5)
% 242.72/243.13 Instantiate: Xy:=x5:fofType
% 242.72/243.13 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 242.72/243.13 Found x22:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x22 as proof of (cP x0)
% 242.72/243.13 Found x22:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x22 as proof of (cP x0)
% 242.72/243.13 Found x40:(cP Xy0)
% 242.72/243.13 Instantiate: Xy0:=x0:fofType
% 242.72/243.13 Found x40 as proof of (cP x0)
% 242.72/243.13 Found x30:(cP x0)
% 242.72/243.13 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 242.72/243.13 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 242.72/243.13 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 242.72/243.13 Found x40:(cP Xy0)
% 242.72/243.13 Instantiate: Xy0:=x0:fofType
% 242.72/243.13 Found x40 as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x6:(cP x5)
% 242.72/243.13 Instantiate: Xy:=x5:fofType
% 242.72/243.13 Found x6 as proof of (cP Xy)
% 242.72/243.13 Found (x3 x6) as proof of (cP x0)
% 242.72/243.13 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy0:=Xy:fofType
% 242.72/243.13 Found x20 as proof of (cP Xy0)
% 242.72/243.13 Found x20:(cP Xy)
% 242.72/243.13 Instantiate: Xy:=x0:fofType
% 242.72/243.13 Found x20 as proof of (cP x0)
% 242.72/243.13 Found x20:=(x2 x30):(cP Xy)
% 242.72/243.13 Instantiate: Xy:=Xy0:fofType
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 242.72/243.13 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 242.72/243.13 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 242.72/243.13 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 242.72/243.13 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 242.72/243.13 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 242.72/243.13 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 242.72/243.13 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 242.72/243.13 Found x20:=(x2 x30):(cP Xy)
% 242.72/243.13 Found (x2 x30) as proof of (cP Xy0)
% 245.04/245.41 Found (x2 x30) as proof of (cP Xy0)
% 245.04/245.41 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 245.04/245.41 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 245.04/245.41 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 245.04/245.41 Found x50:=(x5 x60):(cP Xy0)
% 245.04/245.41 Found (x5 x60) as proof of (cP Xy)
% 245.04/245.41 Found (x5 x60) as proof of (cP Xy)
% 245.04/245.41 Found (x5 x60) as proof of (cP Xy)
% 245.04/245.41 Found x60:=(x6 x0):(cP x0)
% 245.04/245.41 Found (x6 x0) as proof of (cP x0)
% 245.04/245.41 Found (x6 x0) as proof of (cP x0)
% 245.04/245.41 Found x20:=(x2 x30):(cP Xy)
% 245.04/245.41 Found (x2 x30) as proof of (cP Xy0)
% 245.04/245.41 Found (x2 x30) as proof of (cP Xy0)
% 245.04/245.41 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 245.04/245.41 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 245.04/245.41 Found x20:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x20 as proof of (cP x0)
% 245.04/245.41 Found x21:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x21 as proof of (cP x0)
% 245.04/245.41 Found x30:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x30 as proof of (cP Xy)
% 245.04/245.41 Found x60:=(x6 Xy):(cP Xy)
% 245.04/245.41 Found (x6 Xy) as proof of (cP Xy)
% 245.04/245.41 Found (x6 Xy) as proof of (cP Xy)
% 245.04/245.41 Found x60:=(x6 Xy0):(cP Xy0)
% 245.04/245.41 Found (x6 Xy0) as proof of (cP Xy0)
% 245.04/245.41 Found (x6 Xy0) as proof of (cP Xy0)
% 245.04/245.41 Found x30:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x30 as proof of (cP Xy)
% 245.04/245.41 Found x60:=(x6 x0):(cP x0)
% 245.04/245.41 Found (x6 x0) as proof of (cP x0)
% 245.04/245.41 Found (x6 x0) as proof of (cP x0)
% 245.04/245.41 Found x20:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x20 as proof of (cP x0)
% 245.04/245.41 Found x23:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x23 as proof of (cP x0)
% 245.04/245.41 Found x6:(cP x5)
% 245.04/245.41 Instantiate: Xy0:=x5:fofType
% 245.04/245.41 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 245.04/245.41 Found x20:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=Xy0:fofType
% 245.04/245.41 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 245.04/245.41 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 245.04/245.41 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 245.04/245.41 Found x23:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x23 as proof of (cP x0)
% 245.04/245.41 Found x33:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x33 as proof of (cP Xy)
% 245.04/245.41 Found x30:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x30 as proof of (cP Xy)
% 245.04/245.41 Found x30:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x30 as proof of (cP Xy)
% 245.04/245.41 Found x6:(cP x5)
% 245.04/245.41 Instantiate: Xy0:=x5:fofType
% 245.04/245.41 Found x6 as proof of (cP Xy0)
% 245.04/245.41 Found (x4 x6) as proof of (cP x0)
% 245.04/245.41 Found (x4 x6) as proof of (cP x0)
% 245.04/245.41 Found x20:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x20 as proof of (cP x0)
% 245.04/245.41 Found x6:(cP x5)
% 245.04/245.41 Instantiate: Xy:=x5:fofType
% 245.04/245.41 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 245.04/245.41 Found x30:(cP x0)
% 245.04/245.41 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 245.04/245.41 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 245.04/245.41 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 245.04/245.41 Found x30:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x30 as proof of (cP Xy)
% 245.04/245.41 Found x20:(cP Xy)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x20 as proof of (cP x0)
% 245.04/245.41 Found x31:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.41 Found x31 as proof of (cP Xy)
% 245.04/245.41 Found x51:(cP x0)
% 245.04/245.41 Instantiate: Xy:=x0:fofType
% 245.04/245.42 Found x51 as proof of (cP Xy)
% 245.04/245.42 Found x31:(cP x0)
% 245.04/245.42 Instantiate: Xy0:=x0:fofType
% 245.04/245.42 Found x31 as proof of (cP Xy0)
% 245.04/245.42 Found x32:(cP x0)
% 245.04/245.42 Instantiate: Xy0:=x0:fofType
% 245.04/245.42 Found x32 as proof of (cP Xy0)
% 245.04/245.42 Found x51:(cP x0)
% 245.04/245.42 Instantiate: Xy0:=x0:fofType
% 245.04/245.42 Found x51 as proof of (cP Xy0)
% 245.04/245.42 Found x50:(cP x0)
% 245.04/245.42 Instantiate: Xy:=x0:fofType
% 245.04/245.42 Found x50 as proof of (cP Xy)
% 245.04/245.42 Found x50:(cP x0)
% 245.04/245.42 Instantiate: Xy0:=x0:fofType
% 245.04/245.42 Found x50 as proof of (cP Xy0)
% 245.04/245.42 Found x31:(cP x0)
% 245.04/245.42 Instantiate: Xy:=x0:fofType
% 245.04/245.42 Found x31 as proof of (cP Xy)
% 245.04/245.42 Found x31:(cP x0)
% 245.04/245.42 Instantiate: Xy0:=x0:fofType
% 245.04/245.42 Found x31 as proof of (cP Xy0)
% 245.04/245.42 Found x32:(cP x0)
% 245.04/245.42 Instantiate: Xy:=x0:fofType
% 245.04/245.42 Found x32 as proof of (cP Xy)
% 245.04/245.42 Found x20:(cP Xy)
% 245.04/245.42 Instantiate: Xy:=x0:fofType
% 245.04/245.42 Found x20 as proof of (cP x0)
% 245.04/245.42 Found x30:=(x3 x40):(cP Xy0)
% 245.04/245.42 Found (x3 x40) as proof of (cP Xy)
% 245.04/245.42 Found (x3 x40) as proof of (cP Xy)
% 245.04/245.42 Found (x3 x40) as proof of (cP Xy)
% 245.04/245.42 Found x20:(cP Xy)
% 245.04/245.42 Instantiate: Xy:=x0:fofType
% 245.04/245.42 Found x20 as proof of (cP x0)
% 245.04/245.42 Found x60:=(x6 x0):(cP x0)
% 245.04/245.42 Found (x6 x0) as proof of (cP x0)
% 245.04/245.42 Found (x6 x0) as proof of (cP x0)
% 246.23/246.60 Found x20:=(x2 x30):(cP Xy)
% 246.23/246.60 Found (x2 x30) as proof of (cP Xy0)
% 246.23/246.60 Found (x2 x30) as proof of (cP Xy0)
% 246.23/246.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 246.23/246.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 246.23/246.60 Found x60:=(x6 x0):(cP x0)
% 246.23/246.60 Found (x6 x0) as proof of (cP x0)
% 246.23/246.60 Found (x6 x0) as proof of (cP x0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy0:=Xy:fofType
% 246.23/246.60 Found x20 as proof of (cP Xy0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x60:=(x6 Xy):(cP Xy)
% 246.23/246.60 Found (x6 Xy) as proof of (cP Xy)
% 246.23/246.60 Found (x6 Xy) as proof of (cP Xy)
% 246.23/246.60 Found x60:=(x6 Xy0):(cP Xy0)
% 246.23/246.60 Found (x6 Xy0) as proof of (cP Xy0)
% 246.23/246.60 Found (x6 Xy0) as proof of (cP Xy0)
% 246.23/246.60 Found x21:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x21 as proof of (cP x0)
% 246.23/246.60 Found x41:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x41 as proof of (cP x0)
% 246.23/246.60 Found x21:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x21 as proof of (cP x0)
% 246.23/246.60 Found x41:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x41 as proof of (cP x0)
% 246.23/246.60 Found x40:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x40 as proof of (cP x0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x40:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x40 as proof of (cP x0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=Xy0:fofType
% 246.23/246.60 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 246.23/246.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 246.23/246.60 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 246.23/246.60 Found x41:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x41 as proof of (cP x0)
% 246.23/246.60 Found x21:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x21 as proof of (cP x0)
% 246.23/246.60 Found x41:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x41 as proof of (cP x0)
% 246.23/246.60 Found x21:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x21 as proof of (cP x0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x50:(cP x0)
% 246.23/246.60 Found x50 as proof of (cP x0)
% 246.23/246.60 Found x51:(cP x0)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x51 as proof of (cP Xy)
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x30 as proof of (cP Xy)
% 246.23/246.60 Found x22:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x22 as proof of (cP x0)
% 246.23/246.60 Found x22:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x22 as proof of (cP x0)
% 246.23/246.60 Found x51:(cP x0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x51 as proof of (cP Xy0)
% 246.23/246.60 Found x50:(cP x0)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x50 as proof of (cP Xy)
% 246.23/246.60 Found x51:(cP x0)
% 246.23/246.60 Found x51 as proof of (cP x0)
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Found x30 as proof of (cP x0)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x22:(cP Xy)
% 246.23/246.60 Instantiate: Xy0:=Xy:fofType
% 246.23/246.60 Found x22 as proof of (cP Xy0)
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x30 as proof of (cP Xy)
% 246.23/246.60 Found x50:(cP x0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x50 as proof of (cP Xy0)
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Found x30 as proof of (cP x0)
% 246.23/246.60 Found (x2 x30) as proof of (cP Xy0)
% 246.23/246.60 Found (x2 x30) as proof of (cP Xy0)
% 246.23/246.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 246.23/246.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x30 as proof of (cP Xy)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x30 as proof of (cP Xy0)
% 246.23/246.60 Found x21:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x21 as proof of (cP x0)
% 246.23/246.60 Found x30:(cP x0)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x30 as proof of (cP Xy)
% 246.23/246.60 Found x42:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x42 as proof of (cP x0)
% 246.23/246.60 Found x42:(cP Xy0)
% 246.23/246.60 Instantiate: Xy0:=x0:fofType
% 246.23/246.60 Found x42 as proof of (cP x0)
% 246.23/246.60 Found x42:(cP Xy0)
% 246.23/246.60 Instantiate: Xy:=Xy0:fofType
% 246.23/246.60 Found x42 as proof of (cP Xy)
% 246.23/246.60 Found x20:(cP Xy)
% 246.23/246.60 Instantiate: Xy:=x0:fofType
% 246.23/246.60 Found x20 as proof of (cP x0)
% 246.23/246.60 Found x20:=(x2 x31):(cP Xy)
% 246.23/246.60 Instantiate: Xy:=Xy0:fofType
% 246.23/246.60 Found (x2 x31) as proof of (cP Xy0)
% 246.23/246.60 Found (x2 x31) as proof of (cP Xy0)
% 246.23/246.60 Found x6:(cP x5)
% 246.23/246.60 Instantiate: Xy0:=x5:fofType
% 246.23/246.60 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy0)
% 249.41/249.81 Found x50:(cP x0)
% 249.41/249.81 Instantiate: Xy0:=x0:fofType
% 249.41/249.81 Found x50 as proof of (cP Xy0)
% 249.41/249.81 Found x50:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x50 as proof of (cP Xy)
% 249.41/249.81 Found x50:(cP x0)
% 249.41/249.81 Found x50 as proof of (cP x0)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x31:(cP x0)
% 249.41/249.81 Instantiate: Xy0:=x0:fofType
% 249.41/249.81 Found x31 as proof of (cP Xy0)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Found x30 as proof of (cP x0)
% 249.41/249.81 Found x31:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x31 as proof of (cP Xy)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy0:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy0)
% 249.41/249.81 Found x31:(cP x0)
% 249.41/249.81 Found x31 as proof of (cP x0)
% 249.41/249.81 Found x6:(cP x5)
% 249.41/249.81 Instantiate: Xy:=x5:fofType
% 249.41/249.81 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 249.41/249.81 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 249.41/249.81 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 249.41/249.81 Found x30:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP x0)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x31:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x31 as proof of (cP Xy)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x6:(cP x5)
% 249.41/249.81 Instantiate: Xy:=x5:fofType
% 249.41/249.81 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 249.41/249.81 Found x30:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x1:fofType
% 249.41/249.81 Found x30 as proof of (cP x1)
% 249.41/249.81 Found x60:=(x6 x0):(cP x0)
% 249.41/249.81 Found (x6 x0) as proof of (cP x0)
% 249.41/249.81 Found (x6 x0) as proof of (cP x0)
% 249.41/249.81 Found x60:=(x6 Xy0):(cP Xy0)
% 249.41/249.81 Found (x6 Xy0) as proof of (cP Xy0)
% 249.41/249.81 Found (x6 Xy0) as proof of (cP Xy0)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x60:=(x6 x0):(cP x0)
% 249.41/249.81 Found (x6 x0) as proof of (cP x0)
% 249.41/249.81 Found (x6 x0) as proof of (cP x0)
% 249.41/249.81 Found x60:=(x6 Xy):(cP Xy)
% 249.41/249.81 Found (x6 Xy) as proof of (cP Xy)
% 249.41/249.81 Found (x6 Xy) as proof of (cP Xy)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x30:=(x3 x40):(cP Xy0)
% 249.41/249.81 Found (x3 x40) as proof of (cP Xy)
% 249.41/249.81 Found (x3 x40) as proof of (cP Xy)
% 249.41/249.81 Found (x3 x40) as proof of (cP Xy)
% 249.41/249.81 Found x20:=(x2 x30):(cP Xy)
% 249.41/249.81 Found (x2 x30) as proof of (cP Xy0)
% 249.41/249.81 Found (x2 x30) as proof of (cP Xy0)
% 249.41/249.81 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 249.41/249.81 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 249.41/249.81 Found x21:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x21 as proof of (cP x0)
% 249.41/249.81 Found x20:=(x2 x31):(cP Xy)
% 249.41/249.81 Instantiate: Xy:=Xy0:fofType
% 249.41/249.81 Found (x2 x31) as proof of (cP Xy0)
% 249.41/249.81 Found (x2 x31) as proof of (cP Xy0)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=Xy0:fofType
% 249.41/249.81 Found (fun (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (cP Xy0)
% 249.41/249.81 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 249.41/249.81 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> x20) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Found x30 as proof of (cP x0)
% 249.41/249.81 Found (x2 x30) as proof of (cP Xy0)
% 249.41/249.81 Found (x2 x30) as proof of (cP Xy0)
% 249.41/249.81 Found (x2 x30) as proof of (cP Xy0)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x21:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=Xy0:fofType
% 249.41/249.81 Found x21 as proof of (cP Xy0)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x32:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x32 as proof of (cP Xy)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 249.41/249.81 Found x20:(cP Xy)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x20 as proof of (cP x0)
% 249.41/249.81 Found x30:(cP x0)
% 249.41/249.81 Instantiate: Xy:=x0:fofType
% 249.41/249.81 Found x30 as proof of (cP Xy)
% 251.95/252.39 Found x20:=(x2 x30):(cP Xy)
% 251.95/252.39 Instantiate: Xy:=Xy0:fofType
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 251.95/252.39 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 251.95/252.39 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 251.95/252.39 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 251.95/252.39 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 251.95/252.39 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 251.95/252.39 Found x22:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x22 as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x22:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x22 as proof of (cP x0)
% 251.95/252.39 Found x21:(cP Xy)
% 251.95/252.39 Found x21 as proof of (cP Xy0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x60:=(x6 x0):(cP x0)
% 251.95/252.39 Found (x6 x0) as proof of (cP x0)
% 251.95/252.39 Found (x6 x0) as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy0:=Xy:fofType
% 251.95/252.39 Found x20 as proof of (cP Xy0)
% 251.95/252.39 Found x60:=(x6 x0):(cP x0)
% 251.95/252.39 Found (x6 x0) as proof of (cP x0)
% 251.95/252.39 Found (x6 x0) as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x60:=(x6 Xy):(cP Xy)
% 251.95/252.39 Found (x6 Xy) as proof of (cP Xy)
% 251.95/252.39 Found (x6 Xy) as proof of (cP Xy)
% 251.95/252.39 Found x60:=(x6 Xy0):(cP Xy0)
% 251.95/252.39 Found (x6 Xy0) as proof of (cP Xy0)
% 251.95/252.39 Found (x6 Xy0) as proof of (cP Xy0)
% 251.95/252.39 Found x30:(cP x0)
% 251.95/252.39 Found x30 as proof of (cP x0)
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found x21:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x21 as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x21:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=Xy0:fofType
% 251.95/252.39 Found x21 as proof of (cP Xy0)
% 251.95/252.39 Found x20:=(x2 x30):(cP Xy)
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 251.95/252.39 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 251.95/252.39 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 251.95/252.39 Found x30:(cP x0)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x30 as proof of (cP Xy)
% 251.95/252.39 Found x50:(cP x0)
% 251.95/252.39 Instantiate: Xy0:=x0:fofType
% 251.95/252.39 Found x50 as proof of (cP Xy0)
% 251.95/252.39 Found x20:=(x2 x31):(cP Xy)
% 251.95/252.39 Instantiate: Xy:=Xy0:fofType
% 251.95/252.39 Found (x2 x31) as proof of (cP Xy0)
% 251.95/252.39 Found (x2 x31) as proof of (cP Xy0)
% 251.95/252.39 Found x50:(cP x0)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x50 as proof of (cP Xy)
% 251.95/252.39 Found x30:(cP x0)
% 251.95/252.39 Instantiate: Xy0:=x0:fofType
% 251.95/252.39 Found x30 as proof of (cP Xy0)
% 251.95/252.39 Found x30:(cP x0)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x30 as proof of (cP Xy)
% 251.95/252.39 Found x40:(cP x0)
% 251.95/252.39 Instantiate: Xy0:=x0:fofType
% 251.95/252.39 Found x40 as proof of (cP Xy0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy0:=Xy:fofType
% 251.95/252.39 Found x20 as proof of (cP Xy0)
% 251.95/252.39 Found x40:(cP Xy0)
% 251.95/252.39 Instantiate: Xy:=Xy0:fofType
% 251.95/252.39 Found x40 as proof of (cP Xy)
% 251.95/252.39 Found x40:(cP Xy0)
% 251.95/252.39 Instantiate: Xy0:=x0:fofType
% 251.95/252.39 Found x40 as proof of (cP x0)
% 251.95/252.39 Found x40:(cP Xy0)
% 251.95/252.39 Instantiate: Xy0:=x0:fofType
% 251.95/252.39 Found x40 as proof of (cP x0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x50:=(x5 x30):(cP Xy1)
% 251.95/252.39 Instantiate: Xy1:=Xy0:fofType
% 251.95/252.39 Found (x5 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (x5 x30) as proof of (cP Xy0)
% 251.95/252.39 Found x20:=(x2 x30):(cP Xy)
% 251.95/252.39 Instantiate: Xy:=Xy0:fofType
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found (x2 x30) as proof of (cP Xy0)
% 251.95/252.39 Found x20:(cP Xy)
% 251.95/252.39 Instantiate: Xy:=x0:fofType
% 251.95/252.39 Found x20 as proof of (cP x0)
% 251.95/252.39 Found x50:=(x5 x60):(cP Xy1)
% 251.95/252.39 Instantiate: Xy1:=Xy0:fofType
% 251.95/252.39 Found (x5 x60) as proof of (cP Xy0)
% 251.95/252.39 Found (x5 x60) as proof of (cP Xy0)
% 251.95/252.39 Found x20:=(x2 x60):(cP Xy)
% 251.95/252.39 Instantiate: Xy:=Xy0:fofType
% 251.95/252.39 Found (x2 x60) as proof of (cP Xy0)
% 253.42/253.88 Found (x2 x60) as proof of (cP Xy0)
% 253.42/253.88 Found x30:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x30 as proof of (cP Xy)
% 253.42/253.88 Found x30:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x30 as proof of (cP Xy)
% 253.42/253.88 Found x30:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x30 as proof of (cP Xy0)
% 253.42/253.88 Found x40:(cP Xy0)
% 253.42/253.88 Instantiate: Xy:=Xy0:fofType
% 253.42/253.88 Found x40 as proof of (cP Xy)
% 253.42/253.88 Found x20:(cP Xy)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x20 as proof of (cP x0)
% 253.42/253.88 Found x20:(cP Xy)
% 253.42/253.88 Instantiate: Xy0:=Xy:fofType
% 253.42/253.88 Found x20 as proof of (cP Xy0)
% 253.42/253.88 Found x50:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x50 as proof of (cP Xy)
% 253.42/253.88 Found x21:(cP Xy)
% 253.42/253.88 Found x21 as proof of (cP Xy0)
% 253.42/253.88 Found x32:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x32 as proof of (cP Xy)
% 253.42/253.88 Found x20:=(x2 x30):(cP Xy)
% 253.42/253.88 Instantiate: Xy:=Xy0:fofType
% 253.42/253.88 Found (x2 x30) as proof of (cP Xy0)
% 253.42/253.88 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 253.42/253.88 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 253.42/253.88 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 253.42/253.88 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found x32:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x32 as proof of (cP Xy0)
% 253.42/253.88 Found x50:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x50 as proof of (cP Xy0)
% 253.42/253.88 Found x50:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x50 as proof of (cP Xy)
% 253.42/253.88 Found x31:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x31 as proof of (cP Xy)
% 253.42/253.88 Found x31:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x31 as proof of (cP Xy0)
% 253.42/253.88 Found x6:(cP x5)
% 253.42/253.88 Instantiate: Xy:=x5:fofType
% 253.42/253.88 Found x6 as proof of (cP Xy)
% 253.42/253.88 Found (x3 x6) as proof of (cP x0)
% 253.42/253.88 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 253.42/253.88 Found x20:=(x2 x30):(cP Xy)
% 253.42/253.88 Instantiate: Xy:=Xy0:fofType
% 253.42/253.88 Found (x2 x30) as proof of (cP Xy0)
% 253.42/253.88 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 253.42/253.88 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 253.42/253.88 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 253.42/253.88 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 253.42/253.88 Found x50:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x50 as proof of (cP Xy0)
% 253.42/253.88 Found x32:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x32 as proof of (cP Xy0)
% 253.42/253.88 Found x32:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x32 as proof of (cP Xy)
% 253.42/253.88 Found x51:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x51 as proof of (cP Xy)
% 253.42/253.88 Found x51:(cP x0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x51 as proof of (cP Xy0)
% 253.42/253.88 Found x50:(cP x0)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x50 as proof of (cP Xy)
% 253.42/253.88 Found x41:(cP Xy0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x41 as proof of (cP x0)
% 253.42/253.88 Found x21:(cP Xy)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x21 as proof of (cP x0)
% 253.42/253.88 Found x21:(cP Xy)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x21 as proof of (cP x0)
% 253.42/253.88 Found x41:(cP Xy0)
% 253.42/253.88 Instantiate: Xy0:=x0:fofType
% 253.42/253.88 Found x41 as proof of (cP x0)
% 253.42/253.88 Found x30:=(x3 x40):(cP Xy0)
% 253.42/253.88 Found (x3 x40) as proof of (cP Xy)
% 253.42/253.88 Found (x3 x40) as proof of (cP Xy)
% 253.42/253.88 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 253.42/253.88 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 253.42/253.88 Found x21:(cP Xy)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x21 as proof of (cP x0)
% 253.42/253.88 Found x20:(cP Xy)
% 253.42/253.88 Instantiate: Xy:=x0:fofType
% 253.42/253.88 Found x20 as proof of (cP x0)
% 253.42/253.88 Found x20:(cP Xy)
% 253.42/253.88 Instantiate: Xy0:=Xy:fofType
% 253.42/253.88 Found x20 as proof of (cP Xy0)
% 254.83/255.27 Found x20:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x20 as proof of (cP x0)
% 254.83/255.27 Found x21:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x21 as proof of (cP x0)
% 254.83/255.27 Found x21:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x21 as proof of (cP x0)
% 254.83/255.27 Found x40:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x40 as proof of (cP x0)
% 254.83/255.27 Found x40:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x40 as proof of (cP x0)
% 254.83/255.27 Found x41:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x41 as proof of (cP x0)
% 254.83/255.27 Found x41:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x41 as proof of (cP x0)
% 254.83/255.27 Found x41:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x41 as proof of (cP x0)
% 254.83/255.27 Found x21:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x21 as proof of (cP x0)
% 254.83/255.27 Found x41:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x41 as proof of (cP x0)
% 254.83/255.27 Found x20:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x20 as proof of (cP x0)
% 254.83/255.27 Found x21:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=Xy0:fofType
% 254.83/255.27 Found x21 as proof of (cP Xy0)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Found x50 as proof of (cP x0)
% 254.83/255.27 Found x20:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x20 as proof of (cP x0)
% 254.83/255.27 Found x22:(cP Xy)
% 254.83/255.27 Instantiate: Xy0:=Xy:fofType
% 254.83/255.27 Found x22 as proof of (cP Xy0)
% 254.83/255.27 Found x40:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x40 as proof of (cP x0)
% 254.83/255.27 Found x40:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x40 as proof of (cP x0)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x50 as proof of (cP Xy)
% 254.83/255.27 Found x22:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x22 as proof of (cP x0)
% 254.83/255.27 Found x20:=(x2 x30):(cP Xy)
% 254.83/255.27 Found (x2 x30) as proof of (cP Xy0)
% 254.83/255.27 Found (x2 x30) as proof of (cP Xy0)
% 254.83/255.27 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 254.83/255.27 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 254.83/255.27 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x50 as proof of (cP Xy0)
% 254.83/255.27 Found x22:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x22 as proof of (cP x0)
% 254.83/255.27 Found x30:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x30 as proof of (cP Xy)
% 254.83/255.27 Found x23:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x23 as proof of (cP x0)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x50 as proof of (cP Xy)
% 254.83/255.27 Found x30:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x30 as proof of (cP Xy0)
% 254.83/255.27 Found x51:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x51 as proof of (cP Xy0)
% 254.83/255.27 Found x22:(cP Xy)
% 254.83/255.27 Instantiate: Xy0:=Xy:fofType
% 254.83/255.27 Found x22 as proof of (cP Xy0)
% 254.83/255.27 Found x30:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x30 as proof of (cP Xy)
% 254.83/255.27 Found x22:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x22 as proof of (cP x0)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x50 as proof of (cP Xy0)
% 254.83/255.27 Found x31:(cP x0)
% 254.83/255.27 Found x31 as proof of (cP x0)
% 254.83/255.27 Found x51:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x51 as proof of (cP Xy)
% 254.83/255.27 Found x22:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x22 as proof of (cP x0)
% 254.83/255.27 Found x20:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x20 as proof of (cP x0)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Found x50 as proof of (cP x0)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x50 as proof of (cP Xy)
% 254.83/255.27 Found x30:(cP x0)
% 254.83/255.27 Found x30 as proof of (cP x0)
% 254.83/255.27 Found x31:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x31 as proof of (cP Xy)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x50 as proof of (cP Xy0)
% 254.83/255.27 Found x31:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x31 as proof of (cP Xy0)
% 254.83/255.27 Found x20:(cP Xy)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x20 as proof of (cP x0)
% 254.83/255.27 Found x33:(cP x0)
% 254.83/255.27 Instantiate: Xy:=x0:fofType
% 254.83/255.27 Found x33 as proof of (cP Xy)
% 254.83/255.27 Found x50:(cP x0)
% 254.83/255.27 Found x50 as proof of (cP x0)
% 254.83/255.27 Found x51:(cP x0)
% 254.83/255.27 Found x51 as proof of (cP x0)
% 254.83/255.27 Found x42:(cP Xy0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x42 as proof of (cP x0)
% 254.83/255.27 Found x30:(cP x0)
% 254.83/255.27 Instantiate: Xy0:=x0:fofType
% 254.83/255.27 Found x30 as proof of (cP Xy0)
% 254.83/255.27 Found x20:=(x2 x30):(cP Xy)
% 254.83/255.27 Instantiate: Xy:=Xy0:fofType
% 254.83/255.27 Found (x2 x30) as proof of (cP Xy0)
% 254.83/255.27 Found (x2 x30) as proof of (cP Xy0)
% 254.83/255.27 Found x30:(cP x0)
% 254.83/255.27 Found x30 as proof of (cP x0)
% 254.83/255.27 Found (x2 x30) as proof of (cP Xy0)
% 254.83/255.27 Found (x2 x30) as proof of (cP Xy0)
% 254.83/255.27 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 254.83/255.27 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 257.20/257.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 257.20/257.64 Found x20:=(x2 x31):(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found (x2 x31) as proof of (cP Xy0)
% 257.20/257.64 Found x30:(cP x0)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x30 as proof of (cP Xy)
% 257.20/257.64 Found x50:=(x5 x30):(cP Xy1)
% 257.20/257.64 Instantiate: Xy1:=Xy0:fofType
% 257.20/257.64 Found (x5 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (x5 x30) as proof of (cP Xy0)
% 257.20/257.64 Found x21:(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found x21 as proof of (cP Xy0)
% 257.20/257.64 Found x30:(cP x0)
% 257.20/257.64 Found x30 as proof of (cP x0)
% 257.20/257.64 Found x20:=(x2 x60):(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found (x2 x60) as proof of (cP Xy0)
% 257.20/257.64 Found (x2 x60) as proof of (cP Xy0)
% 257.20/257.64 Found x50:=(x5 x60):(cP Xy1)
% 257.20/257.64 Instantiate: Xy1:=Xy0:fofType
% 257.20/257.64 Found (x5 x60) as proof of (cP Xy0)
% 257.20/257.64 Found (x5 x60) as proof of (cP Xy0)
% 257.20/257.64 Found x42:(cP Xy0)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found x42 as proof of (cP Xy)
% 257.20/257.64 Found x42:(cP Xy0)
% 257.20/257.64 Instantiate: Xy0:=x0:fofType
% 257.20/257.64 Found x42 as proof of (cP x0)
% 257.20/257.64 Found x23:(cP Xy)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x23 as proof of (cP x0)
% 257.20/257.64 Found x40:(cP x0)
% 257.20/257.64 Instantiate: Xy0:=x0:fofType
% 257.20/257.64 Found x40 as proof of (cP Xy0)
% 257.20/257.64 Found x20:=(x2 x31):(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found (x2 x31) as proof of (cP Xy0)
% 257.20/257.64 Found (x2 x31) as proof of (cP Xy0)
% 257.20/257.64 Found x20:(cP Xy)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x20 as proof of (cP x0)
% 257.20/257.64 Found x30:(cP x0)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x30 as proof of (cP Xy)
% 257.20/257.64 Found x20:=(x2 x30):(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found (x2 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 257.20/257.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 257.20/257.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 257.20/257.64 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 257.20/257.64 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 257.20/257.64 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 257.20/257.64 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 257.20/257.64 Found x6:(cP x5)
% 257.20/257.64 Instantiate: Xy:=x5:fofType
% 257.20/257.64 Found x6 as proof of (cP Xy)
% 257.20/257.64 Found (x3 x6) as proof of (cP x0)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 257.20/257.64 Found x21:(cP Xy)
% 257.20/257.64 Found x21 as proof of (cP Xy0)
% 257.20/257.64 Found x30:(cP x0)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x30 as proof of (cP Xy)
% 257.20/257.64 Found x30:(cP x0)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x30 as proof of (cP Xy)
% 257.20/257.64 Found x20:(cP Xy)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x20 as proof of (cP x0)
% 257.20/257.64 Found x20:(cP Xy)
% 257.20/257.64 Instantiate: Xy:=x0:fofType
% 257.20/257.64 Found x20 as proof of (cP x0)
% 257.20/257.64 Found x30:=(x3 x40):(cP Xy0)
% 257.20/257.64 Found (x3 x40) as proof of (cP Xy)
% 257.20/257.64 Found (x3 x40) as proof of (cP Xy)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 257.20/257.64 Found x4:(cP x3)
% 257.20/257.64 Instantiate: Xy0:=x3:fofType
% 257.20/257.64 Found x4 as proof of (cP Xy0)
% 257.20/257.64 Found x50:(cP Xy0)
% 257.20/257.64 Instantiate: Xy0:=Xy:fofType
% 257.20/257.64 Found x50 as proof of (cP Xy)
% 257.20/257.64 Found x20:=(x2 x30):(cP Xy)
% 257.20/257.64 Found (x2 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (x2 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 257.20/257.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 257.20/257.64 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 257.20/257.64 Found x20:=(x2 x31):(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found (x2 x31) as proof of (cP Xy0)
% 257.20/257.64 Found x21:(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 257.20/257.64 Found x21 as proof of (cP Xy0)
% 257.20/257.64 Found x30:(cP x0)
% 257.20/257.64 Found x30 as proof of (cP x0)
% 257.20/257.64 Found (x2 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (x2 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 257.20/257.64 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 257.20/257.64 Found x50:=(x5 x30):(cP Xy1)
% 257.20/257.64 Instantiate: Xy1:=Xy0:fofType
% 257.20/257.64 Found (x5 x30) as proof of (cP Xy0)
% 257.20/257.64 Found (x5 x30) as proof of (cP Xy0)
% 257.20/257.64 Found x20:=(x2 x30):(cP Xy)
% 257.20/257.64 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found x50:=(x5 x60):(cP Xy1)
% 260.51/260.94 Instantiate: Xy1:=Xy0:fofType
% 260.51/260.94 Found (x5 x60) as proof of (cP Xy0)
% 260.51/260.94 Found (x5 x60) as proof of (cP Xy0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x30 as proof of (cP Xy)
% 260.51/260.94 Found x20:=(x2 x60):(cP Xy)
% 260.51/260.94 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found (x2 x60) as proof of (cP Xy0)
% 260.51/260.94 Found (x2 x60) as proof of (cP Xy0)
% 260.51/260.94 Found x31:(cP x0)
% 260.51/260.94 Instantiate: Xy0:=x0:fofType
% 260.51/260.94 Found x31 as proof of (cP Xy0)
% 260.51/260.94 Found x31:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x31 as proof of (cP Xy)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x30 as proof of (cP Xy)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x6:(cP x5)
% 260.51/260.94 Instantiate: Xy:=x5:fofType
% 260.51/260.94 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy0:=Xy:fofType
% 260.51/260.94 Found x20 as proof of (cP Xy0)
% 260.51/260.94 Found x30:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x30 as proof of (cP x0)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x30 as proof of (cP Xy)
% 260.51/260.94 Found x21:(cP Xy)
% 260.51/260.94 Found x21 as proof of (cP Xy0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Found x30 as proof of (cP x0)
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 260.51/260.94 Found x50:=(x5 x30):(cP Xy1)
% 260.51/260.94 Instantiate: Xy1:=Xy0:fofType
% 260.51/260.94 Found (x5 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 260.51/260.94 Found x20:=(x2 x30):(cP Xy)
% 260.51/260.94 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 260.51/260.94 Found x21:(cP Xy)
% 260.51/260.94 Found x21 as proof of (cP Xy0)
% 260.51/260.94 Found x21:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found x21 as proof of (cP Xy0)
% 260.51/260.94 Found x20:=(x2 x31):(cP Xy)
% 260.51/260.94 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found (x2 x31) as proof of (cP Xy0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x30 as proof of (cP Xy)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Found x30 as proof of (cP x0)
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found x21:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found x21 as proof of (cP Xy0)
% 260.51/260.94 Found x30:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x30 as proof of (cP Xy)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x20:(cP Xy)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x20 as proof of (cP x0)
% 260.51/260.94 Found x6:(cP x5)
% 260.51/260.94 Instantiate: Xy:=x5:fofType
% 260.51/260.94 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 260.51/260.94 Found x21:(cP Xy)
% 260.51/260.94 Found x21 as proof of (cP Xy0)
% 260.51/260.94 Found x32:(cP x0)
% 260.51/260.94 Instantiate: Xy0:=x0:fofType
% 260.51/260.94 Found x32 as proof of (cP Xy0)
% 260.51/260.94 Found x32:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x32 as proof of (cP Xy)
% 260.51/260.94 Found x32:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x32 as proof of (cP Xy)
% 260.51/260.94 Found x50:(cP x0)
% 260.51/260.94 Instantiate: Xy:=x0:fofType
% 260.51/260.94 Found x50 as proof of (cP Xy)
% 260.51/260.94 Found x50:(cP x0)
% 260.51/260.94 Instantiate: Xy0:=x0:fofType
% 260.51/260.94 Found x50 as proof of (cP Xy0)
% 260.51/260.94 Found x20:=(x2 x30):(cP Xy)
% 260.51/260.94 Instantiate: Xy:=Xy0:fofType
% 260.51/260.94 Found (x2 x30) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 260.51/260.94 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 260.51/260.94 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 260.51/260.94 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 260.51/260.94 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 260.51/260.94 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 262.28/262.69 Found x32:(cP x0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x32 as proof of (cP Xy0)
% 262.28/262.69 Found x30:(cP x0)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x30 as proof of (cP Xy)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x20 as proof of (cP x0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x21 as proof of (cP x0)
% 262.28/262.69 Found x20:=(x2 x30):(cP Xy)
% 262.28/262.69 Instantiate: Xy:=Xy0:fofType
% 262.28/262.69 Found (x2 x30) as proof of (cP Xy0)
% 262.28/262.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 262.28/262.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 262.28/262.69 Found x50:=(x5 x30):(cP Xy1)
% 262.28/262.69 Instantiate: Xy1:=Xy0:fofType
% 262.28/262.69 Found (x5 x30) as proof of (cP Xy0)
% 262.28/262.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 262.28/262.69 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Found x21 as proof of (cP Xy0)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x20 as proof of (cP x0)
% 262.28/262.69 Found x30:(cP x0)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x30 as proof of (cP Xy)
% 262.28/262.69 Found x41:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x41 as proof of (cP x0)
% 262.28/262.69 Found x40:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x40 as proof of (cP x0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x21 as proof of (cP x0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x21 as proof of (cP x0)
% 262.28/262.69 Found x41:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x41 as proof of (cP x0)
% 262.28/262.69 Found x30:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x30 as proof of (cP x0)
% 262.28/262.69 Found x41:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x41 as proof of (cP x0)
% 262.28/262.69 Found x40:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x40 as proof of (cP x0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x21 as proof of (cP x0)
% 262.28/262.69 Found x41:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x41 as proof of (cP x0)
% 262.28/262.69 Found x40:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x40 as proof of (cP x0)
% 262.28/262.69 Found x6:(cP x5)
% 262.28/262.69 Instantiate: Xy0:=x5:fofType
% 262.28/262.69 Found x6 as proof of (cP Xy0)
% 262.28/262.69 Found x22:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x22 as proof of (cP x0)
% 262.28/262.69 Found x30:=(x3 x40):(cP Xy0)
% 262.28/262.69 Found (x3 x40) as proof of (cP Xy)
% 262.28/262.69 Found (x3 x40) as proof of (cP Xy)
% 262.28/262.69 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 262.28/262.69 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 262.28/262.69 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 262.28/262.69 Found x30:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=Xy:fofType
% 262.28/262.69 Found x30 as proof of (cP Xy)
% 262.28/262.69 Found x40:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x40 as proof of (cP x0)
% 262.28/262.69 Found x22:(cP Xy)
% 262.28/262.69 Instantiate: Xy0:=Xy:fofType
% 262.28/262.69 Found x22 as proof of (cP Xy0)
% 262.28/262.69 Found x22:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x22 as proof of (cP x0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x21 as proof of (cP x0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x21 as proof of (cP x0)
% 262.28/262.69 Found x41:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x41 as proof of (cP x0)
% 262.28/262.69 Found x41:(cP Xy0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x41 as proof of (cP x0)
% 262.28/262.69 Found x31:(cP x0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x31 as proof of (cP Xy0)
% 262.28/262.69 Found x22:(cP Xy)
% 262.28/262.69 Instantiate: Xy0:=Xy:fofType
% 262.28/262.69 Found x22 as proof of (cP Xy0)
% 262.28/262.69 Found x21:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=Xy0:fofType
% 262.28/262.69 Found x21 as proof of (cP Xy0)
% 262.28/262.69 Found x50:(cP x0)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x50 as proof of (cP Xy)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x20 as proof of (cP x0)
% 262.28/262.69 Found x31:(cP x0)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x31 as proof of (cP Xy)
% 262.28/262.69 Found x22:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x22 as proof of (cP x0)
% 262.28/262.69 Found x22:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x22 as proof of (cP x0)
% 262.28/262.69 Found x31:(cP x0)
% 262.28/262.69 Found x31 as proof of (cP x0)
% 262.28/262.69 Found x50:(cP x0)
% 262.28/262.69 Instantiate: Xy0:=x0:fofType
% 262.28/262.69 Found x50 as proof of (cP Xy0)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x20 as proof of (cP x0)
% 262.28/262.69 Found x50:(cP x0)
% 262.28/262.69 Found x50 as proof of (cP x0)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy0:=Xy:fofType
% 262.28/262.69 Found x20 as proof of (cP Xy0)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 262.28/262.69 Found x20 as proof of (cP x0)
% 262.28/262.69 Found x20:(cP Xy)
% 262.28/262.69 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy0)
% 263.62/264.07 Found x23:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x23 as proof of (cP x0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Found x30 as proof of (cP x0)
% 263.62/264.07 Found x21:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found x21 as proof of (cP Xy0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Found x30 as proof of (cP x0)
% 263.62/264.07 Found (x2 x30) as proof of (cP Xy0)
% 263.62/264.07 Found (x2 x30) as proof of (cP Xy0)
% 263.62/264.07 Found (x2 x30) as proof of (cP Xy0)
% 263.62/264.07 Found x42:(cP Xy0)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found x42 as proof of (cP Xy)
% 263.62/264.07 Found x42:(cP Xy0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x42 as proof of (cP x0)
% 263.62/264.07 Found x50:(cP x0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x50 as proof of (cP Xy0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy)
% 263.62/264.07 Found x42:(cP Xy0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x42 as proof of (cP x0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy0)
% 263.62/264.07 Found x50:(cP x0)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x50 as proof of (cP Xy)
% 263.62/264.07 Found x30:=(x3 x40):(cP Xy0)
% 263.62/264.07 Found (x3 x40) as proof of (cP Xy)
% 263.62/264.07 Found (x3 x40) as proof of (cP Xy)
% 263.62/264.07 Found (x3 x40) as proof of (cP Xy)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x21:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found x21 as proof of (cP Xy0)
% 263.62/264.07 Found x20:=(x2 x31):(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found (x2 x31) as proof of (cP Xy0)
% 263.62/264.07 Found x40:(cP Xy0)
% 263.62/264.07 Instantiate: Xy0:=Xy1:fofType
% 263.62/264.07 Found x40 as proof of (cP Xy1)
% 263.62/264.07 Found x21:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found x21 as proof of (cP Xy0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy1:fofType
% 263.62/264.07 Found x20 as proof of (cP Xy1)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x40:(cP Xy0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x40 as proof of (cP x0)
% 263.62/264.07 Found x40:(cP Xy0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x40 as proof of (cP x0)
% 263.62/264.07 Found x40:(cP Xy0)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found x40 as proof of (cP Xy)
% 263.62/264.07 Found x21:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found x21 as proof of (cP Xy0)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x20:=(x2 x30):(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found (x2 x30) as proof of (cP Xy0)
% 263.62/264.07 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 263.62/264.07 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 263.62/264.07 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 263.62/264.07 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 263.62/264.07 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 263.62/264.07 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 263.62/264.07 Found x20:=(x2 x31):(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found (x2 x31) as proof of (cP Xy0)
% 263.62/264.07 Found x40:(cP Xy0)
% 263.62/264.07 Instantiate: Xy0:=x0:fofType
% 263.62/264.07 Found x40 as proof of (cP x0)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy0:=Xy:fofType
% 263.62/264.07 Found x20 as proof of (cP Xy0)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x20:(cP Xy)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x20 as proof of (cP x0)
% 263.62/264.07 Found x30:(cP x0)
% 263.62/264.07 Instantiate: Xy:=x0:fofType
% 263.62/264.07 Found x30 as proof of (cP Xy)
% 263.62/264.07 Found x60:(cP Xy1)
% 263.62/264.07 Instantiate: Xy0:=Xy1:fofType
% 263.62/264.07 Found x60 as proof of (cP Xy0)
% 263.62/264.07 Found x60:(cP Xy1)
% 263.62/264.07 Instantiate: Xy1:=x0:fofType
% 263.62/264.07 Found x60 as proof of (cP x0)
% 263.62/264.07 Found x60:(cP Xy1)
% 263.62/264.07 Instantiate: Xy1:=x0:fofType
% 263.62/264.07 Found x60 as proof of (cP x0)
% 263.62/264.07 Found x21:(cP Xy)
% 263.62/264.07 Found x21 as proof of (cP Xy0)
% 263.62/264.07 Found x20:=(x2 x30):(cP Xy)
% 263.62/264.07 Instantiate: Xy:=Xy0:fofType
% 263.62/264.07 Found (x2 x30) as proof of (cP Xy0)
% 263.62/264.07 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 264.40/264.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 264.40/264.82 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found x60:(cP Xy1)
% 264.40/264.82 Instantiate: Xy1:=x0:fofType
% 264.40/264.82 Found x60 as proof of (cP x0)
% 264.40/264.82 Found x60:(cP Xy1)
% 264.40/264.82 Instantiate: Xy:=Xy1:fofType
% 264.40/264.82 Found x60 as proof of (cP Xy)
% 264.40/264.82 Found x30:(cP x0)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x30 as proof of (cP Xy)
% 264.40/264.82 Found x60:(cP x0)
% 264.40/264.82 Found x60 as proof of (cP x0)
% 264.40/264.82 Found (x5 x60) as proof of (cP Xy)
% 264.40/264.82 Found (x5 x60) as proof of (cP Xy)
% 264.40/264.82 Found (x5 x60) as proof of (cP Xy)
% 264.40/264.82 Found x20:(cP Xy)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x20 as proof of (cP x0)
% 264.40/264.82 Found x20:(cP Xy)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x20 as proof of (cP x0)
% 264.40/264.82 Found x20:(cP Xy)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x20 as proof of (cP x0)
% 264.40/264.82 Found x40:(cP Xy0)
% 264.40/264.82 Instantiate: Xy:=Xy0:fofType
% 264.40/264.82 Found x40 as proof of (cP Xy)
% 264.40/264.82 Found x60:(cP Xy1)
% 264.40/264.82 Instantiate: Xy0:=Xy1:fofType
% 264.40/264.82 Found x60 as proof of (cP Xy0)
% 264.40/264.82 Found x60:(cP Xy1)
% 264.40/264.82 Instantiate: Xy:=Xy1:fofType
% 264.40/264.82 Found x60 as proof of (cP Xy)
% 264.40/264.82 Found x30:(cP x0)
% 264.40/264.82 Instantiate: Xy0:=x0:fofType
% 264.40/264.82 Found x30 as proof of (cP Xy0)
% 264.40/264.82 Found x20:(cP Xy)
% 264.40/264.82 Instantiate: Xy0:=Xy:fofType
% 264.40/264.82 Found x20 as proof of (cP Xy0)
% 264.40/264.82 Found x50:(cP x0)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x50 as proof of (cP Xy)
% 264.40/264.82 Found x50:=(x5 x30):(cP Xy1)
% 264.40/264.82 Instantiate: Xy1:=Xy0:fofType
% 264.40/264.82 Found (x5 x30) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 264.40/264.82 Found x32:(cP x0)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x32 as proof of (cP Xy)
% 264.40/264.82 Found x20:=(x2 x30):(cP Xy)
% 264.40/264.82 Instantiate: Xy:=Xy0:fofType
% 264.40/264.82 Found (x2 x30) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 264.40/264.82 Found x21:(cP Xy)
% 264.40/264.82 Instantiate: Xy:=Xy0:fofType
% 264.40/264.82 Found x21 as proof of (cP Xy0)
% 264.40/264.82 Found x20:=(x2 x30):(cP Xy)
% 264.40/264.82 Instantiate: Xy:=Xy0:fofType
% 264.40/264.82 Found (x2 x30) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 264.40/264.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 264.40/264.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 264.40/264.82 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 264.40/264.82 Found x22:(cP Xy)
% 264.40/264.82 Instantiate: Xy:=x0:fofType
% 264.40/264.82 Found x22 as proof of (cP x0)
% 264.40/264.82 Found x21:(cP Xy)
% 264.40/264.82 Found x21 as proof of (cP Xy0)
% 264.40/264.82 Found x6:(cP x5)
% 264.40/264.82 Instantiate: Xy:=x5:fofType
% 264.40/264.82 Found x6 as proof of (cP Xy)
% 264.40/264.82 Found (x3 x6) as proof of (cP x0)
% 264.40/264.82 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 264.40/264.82 Found x50:(cP Xy0)
% 264.40/264.82 Instantiate: Xy0:=Xy:fofType
% 264.40/264.82 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 264.40/264.82 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 264.40/264.82 Found x21:(cP Xy)
% 264.40/264.82 Instantiate: Xy:=Xy0:fofType
% 264.40/264.82 Found x21 as proof of (cP Xy0)
% 264.40/264.82 Found x30:=(x3 x40):(cP Xy0)
% 264.40/264.82 Found (x3 x40) as proof of (cP Xy)
% 264.40/264.82 Found (x3 x40) as proof of (cP Xy)
% 264.40/264.82 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 264.40/264.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 264.40/264.82 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 266.20/266.60 Found x30:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x1:fofType
% 266.20/266.60 Found x30 as proof of (cP x1)
% 266.20/266.60 Found x30:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x1:fofType
% 266.20/266.60 Found x30 as proof of (cP x1)
% 266.20/266.60 Found x21:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found x21 as proof of (cP Xy0)
% 266.20/266.60 Found x40:(cP x1)
% 266.20/266.60 Instantiate: Xy:=x1:fofType
% 266.20/266.60 Found x40 as proof of (cP Xy)
% 266.20/266.60 Found x31:(cP x0)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x31 as proof of (cP Xy)
% 266.20/266.60 Found x21:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found x21 as proof of (cP Xy0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x30:(cP x0)
% 266.20/266.60 Found x30 as proof of (cP x0)
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x30:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x30 as proof of (cP x0)
% 266.20/266.60 Found x30:(cP x0)
% 266.20/266.60 Found x30 as proof of (cP x0)
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 266.20/266.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 266.20/266.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy1:fofType
% 266.20/266.60 Found x20 as proof of (cP Xy1)
% 266.20/266.60 Found x40:(cP Xy0)
% 266.20/266.60 Instantiate: Xy0:=Xy1:fofType
% 266.20/266.60 Found x40 as proof of (cP Xy1)
% 266.20/266.60 Found x30:(cP x0)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x30 as proof of (cP Xy)
% 266.20/266.60 Found x21:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found x21 as proof of (cP Xy0)
% 266.20/266.60 Found x33:(cP x0)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x33 as proof of (cP Xy)
% 266.20/266.60 Found x23:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x23 as proof of (cP x0)
% 266.20/266.60 Found x30:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x30 as proof of (cP x0)
% 266.20/266.60 Found x20:=(x2 x31):(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found (x2 x31) as proof of (cP Xy0)
% 266.20/266.60 Found x41:(cP Xy0)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found x41 as proof of (cP Xy)
% 266.20/266.60 Found x40:(cP x0)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x40 as proof of (cP Xy)
% 266.20/266.60 Found x41:(cP Xy0)
% 266.20/266.60 Instantiate: Xy0:=x0:fofType
% 266.20/266.60 Found x41 as proof of (cP x0)
% 266.20/266.60 Found x20:=(x2 x30):(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 266.20/266.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 266.20/266.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 266.20/266.60 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 266.20/266.60 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 266.20/266.60 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 266.20/266.60 Found x6:(cP x5)
% 266.20/266.60 Instantiate: Xy:=x5:fofType
% 266.20/266.60 Found x6 as proof of (cP Xy)
% 266.20/266.60 Found (x3 x6) as proof of (cP x0)
% 266.20/266.60 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy0:=Xy:fofType
% 266.20/266.60 Found x20 as proof of (cP Xy0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x20:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x20 as proof of (cP x0)
% 266.20/266.60 Found x30:(cP x0)
% 266.20/266.60 Instantiate: Xy:=x0:fofType
% 266.20/266.60 Found x30 as proof of (cP Xy)
% 266.20/266.60 Found x21:(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found x21 as proof of (cP Xy0)
% 266.20/266.60 Found x20:=(x2 x30):(cP Xy)
% 266.20/266.60 Instantiate: Xy:=Xy0:fofType
% 266.20/266.60 Found (x2 x30) as proof of (cP Xy0)
% 266.20/266.60 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 266.20/266.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 266.20/266.60 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 266.20/266.60 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 266.20/266.60 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 266.20/266.60 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 267.81/268.27 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 267.81/268.27 Found x6:(cP x5)
% 267.81/268.27 Instantiate: Xy:=x5:fofType
% 267.81/268.27 Found x6 as proof of (cP Xy)
% 267.81/268.27 Found (x3 x6) as proof of (cP x0)
% 267.81/268.27 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 267.81/268.27 Found x20:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x20 as proof of (cP x0)
% 267.81/268.27 Found x60:(cP x0)
% 267.81/268.27 Found x60 as proof of (cP x0)
% 267.81/268.27 Found (x5 x60) as proof of (cP Xy)
% 267.81/268.27 Found (x5 x60) as proof of (cP Xy)
% 267.81/268.27 Found (x5 x60) as proof of (cP Xy)
% 267.81/268.27 Found x30:(cP x0)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x30 as proof of (cP Xy)
% 267.81/268.27 Found x20:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x20 as proof of (cP x0)
% 267.81/268.27 Found x20:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x20 as proof of (cP x0)
% 267.81/268.27 Found x30:(cP x0)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x30 as proof of (cP Xy)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x50:=(x5 x30):(cP Xy1)
% 267.81/268.27 Instantiate: Xy1:=Xy0:fofType
% 267.81/268.27 Found (x5 x30) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 267.81/268.27 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x20:=(x2 x30):(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found (x2 x30) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 267.81/268.27 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 267.81/268.27 Found x20:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy1:fofType
% 267.81/268.27 Found x20 as proof of (cP Xy1)
% 267.81/268.27 Found x30:(cP x0)
% 267.81/268.27 Found x30 as proof of (cP x0)
% 267.81/268.27 Found (x2 x30) as proof of (cP Xy0)
% 267.81/268.27 Found (x2 x30) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 267.81/268.27 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 267.81/268.27 Found x40:(cP Xy0)
% 267.81/268.27 Instantiate: Xy0:=Xy1:fofType
% 267.81/268.27 Found x40 as proof of (cP Xy1)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x31:(cP Xy0)
% 267.81/268.27 Instantiate: Xy0:=Xy:fofType
% 267.81/268.27 Found (fun (x4:((cP Xy0)->(cP x0)))=> x31) as proof of (cP Xy)
% 267.81/268.27 Found (fun (x4:((cP Xy0)->(cP x0)))=> x31) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x4:(cP x3)
% 267.81/268.27 Instantiate: Xy0:=x3:fofType
% 267.81/268.27 Found x4 as proof of (cP Xy0)
% 267.81/268.27 Found x41:(cP Xy0)
% 267.81/268.27 Instantiate: Xy0:=x0:fofType
% 267.81/268.27 Found x41 as proof of (cP x0)
% 267.81/268.27 Found x41:(cP Xy0)
% 267.81/268.27 Found x41 as proof of (cP Xy0)
% 267.81/268.27 Found x41:(cP Xy0)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found x41 as proof of (cP Xy)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x21 as proof of (cP x0)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Instantiate: Xy0:=Xy:fofType
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x50:(cP Xy0)
% 267.81/268.27 Instantiate: Xy0:=Xy:fofType
% 267.81/268.27 Found x50 as proof of (cP Xy)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Found x21 as proof of (cP Xy)
% 267.81/268.27 Found x21:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found x21 as proof of (cP Xy0)
% 267.81/268.27 Found x30:(cP x0)
% 267.81/268.27 Found x30 as proof of (cP x0)
% 267.81/268.27 Found (x2 x30) as proof of (cP Xy0)
% 267.81/268.27 Found (x2 x30) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 267.81/268.27 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 267.81/268.27 Found x20:(cP Xy)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x20 as proof of (cP x0)
% 267.81/268.27 Found x30:(cP x0)
% 267.81/268.27 Instantiate: Xy:=x0:fofType
% 267.81/268.27 Found x30 as proof of (cP Xy)
% 267.81/268.27 Found x20:=(x2 x31):(cP Xy)
% 267.81/268.27 Instantiate: Xy:=Xy0:fofType
% 267.81/268.27 Found (x2 x31) as proof of (cP Xy0)
% 267.81/268.27 Found x21:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=Xy0:fofType
% 269.40/269.85 Found x21 as proof of (cP Xy0)
% 269.40/269.85 Found x21:(cP Xy)
% 269.40/269.85 Instantiate: Xy0:=Xy:fofType
% 269.40/269.85 Found x21 as proof of (cP Xy0)
% 269.40/269.85 Found x21:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x21 as proof of (cP x0)
% 269.40/269.85 Found x21:(cP Xy)
% 269.40/269.85 Found x21 as proof of (cP Xy)
% 269.40/269.85 Found x32:(cP x0)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x32 as proof of (cP Xy)
% 269.40/269.85 Found x32:(cP x0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x32 as proof of (cP Xy0)
% 269.40/269.85 Found x40:(cP x0)
% 269.40/269.85 Found x40 as proof of (cP x0)
% 269.40/269.85 Found (x3 x40) as proof of (cP Xy)
% 269.40/269.85 Found (x3 x40) as proof of (cP Xy)
% 269.40/269.85 Found (x3 x40) as proof of (cP Xy)
% 269.40/269.85 Found x21:(cP Xy)
% 269.40/269.85 Found x21 as proof of (cP Xy0)
% 269.40/269.85 Found x21:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x21 as proof of (cP x0)
% 269.40/269.85 Found x50:=(x5 x30):(cP Xy1)
% 269.40/269.85 Instantiate: Xy1:=Xy0:fofType
% 269.40/269.85 Found (x5 x30) as proof of (cP Xy0)
% 269.40/269.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 269.40/269.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 269.40/269.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 269.40/269.85 Found x41:(cP Xy0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x41 as proof of (cP x0)
% 269.40/269.85 Found x41:(cP Xy0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x41 as proof of (cP x0)
% 269.40/269.85 Found x20:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x20 as proof of (cP x0)
% 269.40/269.85 Found x32:(cP x0)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x32 as proof of (cP Xy)
% 269.40/269.85 Found x6:(cP x5)
% 269.40/269.85 Instantiate: Xy:=x5:fofType
% 269.40/269.85 Found x6 as proof of (cP Xy)
% 269.40/269.85 Found (x3 x6) as proof of (cP x0)
% 269.40/269.85 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 269.40/269.85 Found x30:(cP x0)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x30 as proof of (cP Xy)
% 269.40/269.85 Found x20:=(x2 x30):(cP Xy)
% 269.40/269.85 Instantiate: Xy:=Xy0:fofType
% 269.40/269.85 Found (x2 x30) as proof of (cP Xy0)
% 269.40/269.85 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 269.40/269.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 269.40/269.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 269.40/269.85 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 269.40/269.85 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 269.40/269.85 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 269.40/269.85 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 269.40/269.85 Found x40:(cP Xy0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x40 as proof of (cP x0)
% 269.40/269.85 Found x40:(cP Xy0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x40 as proof of (cP x0)
% 269.40/269.85 Found x21:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x21 as proof of (cP x0)
% 269.40/269.85 Found x32:(cP x0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x32 as proof of (cP Xy0)
% 269.40/269.85 Found x20:=(x2 x30):(cP Xy)
% 269.40/269.85 Instantiate: Xy:=Xy0:fofType
% 269.40/269.85 Found (x2 x30) as proof of (cP Xy0)
% 269.40/269.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 269.40/269.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 269.40/269.85 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 269.40/269.85 Found x50:(cP x0)
% 269.40/269.85 Instantiate: Xy0:=x0:fofType
% 269.40/269.85 Found x50 as proof of (cP Xy0)
% 269.40/269.85 Found x6:(cP x5)
% 269.40/269.85 Instantiate: Xy:=x5:fofType
% 269.40/269.85 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 269.40/269.85 Found x50:(cP x0)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x50 as proof of (cP Xy)
% 269.40/269.85 Found x22:(cP Xy)
% 269.40/269.85 Instantiate: Xy0:=Xy:fofType
% 269.40/269.85 Found x22 as proof of (cP Xy0)
% 269.40/269.85 Found x22:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x22 as proof of (cP x0)
% 269.40/269.85 Found x30:(cP x0)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x30 as proof of (cP Xy)
% 269.40/269.85 Found x22:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x22 as proof of (cP x0)
% 269.40/269.85 Found x20:(cP Xy)
% 269.40/269.85 Instantiate: Xy:=x0:fofType
% 269.40/269.85 Found x20 as proof of (cP x0)
% 269.40/269.85 Found x30:(cP Xy0)
% 269.40/269.85 Instantiate: Xy0:=Xy:fofType
% 269.40/269.85 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 269.40/269.85 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 271.41/271.83 Found x20:=(x2 x30):(cP Xy)
% 271.41/271.83 Instantiate: Xy:=Xy0:fofType
% 271.41/271.83 Found (x2 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 271.41/271.83 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 271.41/271.83 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 271.41/271.83 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 271.41/271.83 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 271.41/271.83 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 271.41/271.83 Found x21:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=Xy0:fofType
% 271.41/271.83 Found x21 as proof of (cP Xy0)
% 271.41/271.83 Found x40:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x40 as proof of (cP x0)
% 271.41/271.83 Found x40:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x40 as proof of (cP x0)
% 271.41/271.83 Found x31:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=Xy:fofType
% 271.41/271.83 Found (fun (x4:((cP Xy0)->(cP x0)))=> x31) as proof of (cP Xy)
% 271.41/271.83 Found (fun (x4:((cP Xy0)->(cP x0)))=> x31) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 271.41/271.83 Found x50:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=Xy:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy)
% 271.41/271.83 Found x50:(cP x0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy0)
% 271.41/271.83 Found x50:(cP x0)
% 271.41/271.83 Found x50 as proof of (cP x0)
% 271.41/271.83 Found x30:(cP x0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x30 as proof of (cP Xy0)
% 271.41/271.83 Found x50:(cP x0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy0)
% 271.41/271.83 Found x40:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=Xy1:fofType
% 271.41/271.83 Found x40 as proof of (cP Xy1)
% 271.41/271.83 Found x50:(cP x0)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy)
% 271.41/271.83 Found x22:(cP Xy)
% 271.41/271.83 Instantiate: Xy0:=Xy:fofType
% 271.41/271.83 Found x22 as proof of (cP Xy0)
% 271.41/271.83 Found x2:(cP x1)
% 271.41/271.83 Instantiate: Xy0:=x1:fofType
% 271.41/271.83 Found x2 as proof of (cP Xy0)
% 271.41/271.83 Found x30:(cP x0)
% 271.41/271.83 Found x30 as proof of (cP x0)
% 271.41/271.83 Found (x2 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (x2 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 271.41/271.83 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 271.41/271.83 Found x20:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=Xy1:fofType
% 271.41/271.83 Found x20 as proof of (cP Xy1)
% 271.41/271.83 Found x30:(cP x0)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x30 as proof of (cP Xy)
% 271.41/271.83 Found x21:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=Xy0:fofType
% 271.41/271.83 Found x21 as proof of (cP Xy0)
% 271.41/271.83 Found x22:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x22 as proof of (cP x0)
% 271.41/271.83 Found x50:(cP x0)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy)
% 271.41/271.83 Found x22:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x22 as proof of (cP x0)
% 271.41/271.83 Found x4:(cP x3)
% 271.41/271.83 Instantiate: Xy0:=x3:fofType
% 271.41/271.83 Found x4 as proof of (cP Xy0)
% 271.41/271.83 Found x4:(cP x3)
% 271.41/271.83 Instantiate: Xy0:=x3:fofType
% 271.41/271.83 Found x4 as proof of (cP Xy0)
% 271.41/271.83 Found x50:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=Xy:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy)
% 271.41/271.83 Found x23:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x23 as proof of (cP x0)
% 271.41/271.83 Found x21:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=Xy0:fofType
% 271.41/271.83 Found x21 as proof of (cP Xy0)
% 271.41/271.83 Found x50:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=Xy:fofType
% 271.41/271.83 Found x50 as proof of (cP Xy)
% 271.41/271.83 Found x20:=(x2 x60):(cP Xy)
% 271.41/271.83 Found (x2 x60) as proof of (cP Xy0)
% 271.41/271.83 Found (x2 x60) as proof of (cP Xy0)
% 271.41/271.83 Found (x2 x60) as proof of (cP Xy0)
% 271.41/271.83 Found x20:=(x2 x30):(cP Xy)
% 271.41/271.83 Found (x2 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (x2 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (x2 x30) as proof of (cP Xy0)
% 271.41/271.83 Found x50:=(x5 x60):(cP Xy1)
% 271.41/271.83 Found (x5 x60) as proof of (cP Xy0)
% 271.41/271.83 Found (x5 x60) as proof of (cP Xy0)
% 271.41/271.83 Found (x5 x60) as proof of (cP Xy0)
% 271.41/271.83 Found x50:=(x5 x30):(cP Xy1)
% 271.41/271.83 Found (x5 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (x5 x30) as proof of (cP Xy0)
% 271.41/271.83 Found (x5 x30) as proof of (cP Xy0)
% 271.41/271.83 Found x6:(cP x5)
% 271.41/271.83 Instantiate: Xy:=x5:fofType
% 271.41/271.83 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 271.41/271.83 Found x20:(cP Xy)
% 271.41/271.83 Instantiate: Xy0:=Xy:fofType
% 271.41/271.83 Found x20 as proof of (cP Xy0)
% 271.41/271.83 Found x20:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x20 as proof of (cP x0)
% 271.41/271.83 Found x21:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=Xy0:fofType
% 271.41/271.83 Found x21 as proof of (cP Xy0)
% 271.41/271.83 Found x20:(cP Xy)
% 271.41/271.83 Instantiate: Xy:=x0:fofType
% 271.41/271.83 Found x20 as proof of (cP x0)
% 271.41/271.83 Found x40:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x40 as proof of (cP x0)
% 271.41/271.83 Found x40:(cP Xy0)
% 271.41/271.83 Instantiate: Xy0:=x0:fofType
% 271.41/271.83 Found x40 as proof of (cP x0)
% 271.41/271.83 Found x30:(cP x0)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x30 as proof of (cP Xy)
% 273.30/273.72 Found x40:(cP Xy0)
% 273.30/273.72 Instantiate: Xy0:=x0:fofType
% 273.30/273.72 Found x40 as proof of (cP x0)
% 273.30/273.72 Found x40:(cP Xy0)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found x40 as proof of (cP Xy)
% 273.30/273.72 Found x20:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x20 as proof of (cP x0)
% 273.30/273.72 Found x20:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x20 as proof of (cP x0)
% 273.30/273.72 Found x20:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x20 as proof of (cP x0)
% 273.30/273.72 Found x20:=(x2 x31):(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found (x2 x31) as proof of (cP Xy0)
% 273.30/273.72 Found x21:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found x21 as proof of (cP Xy0)
% 273.30/273.72 Found x20:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x20 as proof of (cP x0)
% 273.30/273.72 Found x6:(cP x5)
% 273.30/273.72 Instantiate: Xy:=x5:fofType
% 273.30/273.72 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 273.30/273.72 Found x40:(cP x0)
% 273.30/273.72 Found x40 as proof of (cP x0)
% 273.30/273.72 Found (x3 x40) as proof of (cP Xy)
% 273.30/273.72 Found (x3 x40) as proof of (cP Xy)
% 273.30/273.72 Found (x3 x40) as proof of (cP Xy)
% 273.30/273.72 Found x21:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found x21 as proof of (cP Xy0)
% 273.30/273.72 Found x21:(cP Xy)
% 273.30/273.72 Found x21 as proof of (cP Xy0)
% 273.30/273.72 Found x22:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x22 as proof of (cP x0)
% 273.30/273.72 Found x20:=(x2 x30):(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 273.30/273.72 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 273.30/273.72 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 273.30/273.72 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 273.30/273.72 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 273.30/273.72 Found x20:=(x2 x30):(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 273.30/273.72 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 273.30/273.72 Found x50:=(x5 x30):(cP Xy1)
% 273.30/273.72 Instantiate: Xy1:=Xy0:fofType
% 273.30/273.72 Found (x5 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 273.30/273.72 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 273.30/273.72 Found x20:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x20 as proof of (cP x0)
% 273.30/273.72 Found x6:(cP x5)
% 273.30/273.72 Instantiate: Xy0:=x5:fofType
% 273.30/273.72 Found x6 as proof of (cP Xy0)
% 273.30/273.72 Found x20:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 273.30/273.72 Found x20 as proof of (cP x0)
% 273.30/273.72 Found x30:(cP Xy0)
% 273.30/273.72 Instantiate: Xy0:=Xy:fofType
% 273.30/273.72 Found x30 as proof of (cP Xy)
% 273.30/273.72 Found x50:=(x5 x30):(cP Xy1)
% 273.30/273.72 Found (x5 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (x5 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (x5 x30) as proof of (cP Xy0)
% 273.30/273.72 Found x21:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found x21 as proof of (cP Xy0)
% 273.30/273.72 Found x21:(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found x21 as proof of (cP Xy0)
% 273.30/273.72 Found x20:=(x2 x30):(cP Xy)
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found x20:=(x2 x31):(cP Xy)
% 273.30/273.72 Instantiate: Xy:=Xy0:fofType
% 273.30/273.72 Found (x2 x31) as proof of (cP Xy0)
% 273.30/273.72 Found (x2 x31) as proof of (cP Xy0)
% 273.30/273.72 Found x30:(cP x0)
% 273.30/273.72 Found x30 as proof of (cP x0)
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (x2 x30) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 273.30/273.72 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 273.30/273.72 Found x20:=(x2 x60):(cP Xy)
% 273.30/273.72 Found (x2 x60) as proof of (cP Xy0)
% 273.30/273.72 Found (x2 x60) as proof of (cP Xy0)
% 273.30/273.72 Found (x2 x60) as proof of (cP Xy0)
% 273.30/273.72 Found x50:=(x5 x60):(cP Xy1)
% 273.30/273.72 Found (x5 x60) as proof of (cP Xy0)
% 273.30/273.72 Found (x5 x60) as proof of (cP Xy0)
% 273.30/273.72 Found (x5 x60) as proof of (cP Xy0)
% 273.30/273.72 Found x30:(cP x0)
% 273.30/273.72 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x30 as proof of (cP Xy)
% 275.48/275.90 Found x20:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x20 as proof of (cP x0)
% 275.48/275.90 Found x23:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x23 as proof of (cP x0)
% 275.48/275.90 Found x21:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=Xy0:fofType
% 275.48/275.90 Found x21 as proof of (cP Xy0)
% 275.48/275.90 Found x20:=(x2 x30):(cP Xy)
% 275.48/275.90 Instantiate: Xy:=Xy0:fofType
% 275.48/275.90 Found (x2 x30) as proof of (cP Xy0)
% 275.48/275.90 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 275.48/275.90 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 275.48/275.90 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 275.48/275.90 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 275.48/275.90 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 275.48/275.90 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 275.48/275.90 Found x20:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x20 as proof of (cP x0)
% 275.48/275.90 Found x20:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x20 as proof of (cP x0)
% 275.48/275.90 Found x6:(cP x5)
% 275.48/275.90 Instantiate: Xy:=x5:fofType
% 275.48/275.90 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 275.48/275.90 Found x20:=(x2 x30):(cP Xy)
% 275.48/275.90 Instantiate: Xy:=Xy0:fofType
% 275.48/275.90 Found (x2 x30) as proof of (cP Xy0)
% 275.48/275.90 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 275.48/275.90 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 275.48/275.90 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 275.48/275.90 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 275.48/275.90 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 275.48/275.90 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 275.48/275.90 Found x30:(cP x0)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x30 as proof of (cP Xy)
% 275.48/275.90 Found x21:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=Xy0:fofType
% 275.48/275.90 Found x21 as proof of (cP Xy0)
% 275.48/275.90 Found x21:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=Xy0:fofType
% 275.48/275.90 Found x21 as proof of (cP Xy0)
% 275.48/275.90 Found x21:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=Xy0:fofType
% 275.48/275.90 Found x21 as proof of (cP Xy0)
% 275.48/275.90 Found x20:(cP Xy)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x20 as proof of (cP x0)
% 275.48/275.90 Found x21:(cP Xy)
% 275.48/275.90 Found x21 as proof of (cP Xy0)
% 275.48/275.90 Found x50:(cP x0)
% 275.48/275.90 Instantiate: Xy0:=x0:fofType
% 275.48/275.90 Found x50 as proof of (cP Xy0)
% 275.48/275.90 Found x70:(cP x0)
% 275.48/275.90 Instantiate: Xy1:=x0:fofType
% 275.48/275.90 Found x70 as proof of (cP Xy1)
% 275.48/275.90 Found x30:=(x3 x40):(cP Xy0)
% 275.48/275.90 Instantiate: Xy0:=Xy:fofType
% 275.48/275.90 Found (x3 x40) as proof of (cP Xy)
% 275.48/275.90 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 275.48/275.90 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 275.48/275.90 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 275.48/275.90 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 275.48/275.90 Found ((ex_ind1 (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 275.48/275.90 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x2)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 275.48/275.90 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x2)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 275.48/275.90 Found x50:(cP x0)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x50 as proof of (cP Xy)
% 275.48/275.90 Found x30:(cP x0)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x30 as proof of (cP Xy)
% 275.48/275.90 Found x50:(cP x0)
% 275.48/275.90 Instantiate: Xy1:=x0:fofType
% 275.48/275.90 Found x50 as proof of (cP Xy1)
% 275.48/275.90 Found x70:(cP x0)
% 275.48/275.90 Instantiate: Xy0:=x0:fofType
% 275.48/275.90 Found x70 as proof of (cP Xy0)
% 275.48/275.90 Found x30:(cP x0)
% 275.48/275.90 Instantiate: Xy0:=x0:fofType
% 275.48/275.90 Found x30 as proof of (cP Xy0)
% 275.48/275.90 Found x70:(cP x0)
% 275.48/275.90 Instantiate: Xy:=x0:fofType
% 275.48/275.90 Found x70 as proof of (cP Xy)
% 275.48/275.90 Found x30:(cP x0)
% 275.48/275.90 Instantiate: Xy1:=x0:fofType
% 275.48/275.90 Found x30 as proof of (cP Xy1)
% 275.48/275.90 Found x6:(cP x5)
% 275.48/275.90 Instantiate: Xy0:=x5:fofType
% 275.48/275.90 Found x6 as proof of (cP Xy0)
% 275.48/275.90 Found x50:(cP Xy0)
% 275.48/275.90 Instantiate: Xy0:=Xy:fofType
% 275.48/275.90 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 277.02/277.47 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 277.02/277.47 Found x30:(cP Xy0)
% 277.02/277.47 Instantiate: Xy0:=Xy:fofType
% 277.02/277.47 Found x30 as proof of (cP Xy)
% 277.02/277.47 Found x6:(cP x5)
% 277.02/277.47 Instantiate: Xy0:=x5:fofType
% 277.02/277.47 Found x6 as proof of (cP Xy0)
% 277.02/277.47 Found x30:(cP Xy0)
% 277.02/277.47 Instantiate: Xy0:=Xy:fofType
% 277.02/277.47 Found x30 as proof of (cP Xy)
% 277.02/277.47 Found x50:=(x5 x60):(cP Xy1)
% 277.02/277.47 Found (x5 x60) as proof of (cP Xy0)
% 277.02/277.47 Found (x5 x60) as proof of (cP Xy0)
% 277.02/277.47 Found (x5 x60) as proof of (cP Xy0)
% 277.02/277.47 Found x50:=(x5 x30):(cP Xy1)
% 277.02/277.47 Found (x5 x30) as proof of (cP Xy0)
% 277.02/277.47 Found (x5 x30) as proof of (cP Xy0)
% 277.02/277.47 Found (x5 x30) as proof of (cP Xy0)
% 277.02/277.47 Found x20:=(x2 x30):(cP Xy)
% 277.02/277.47 Found (x2 x30) as proof of (cP Xy0)
% 277.02/277.47 Found (x2 x30) as proof of (cP Xy0)
% 277.02/277.47 Found (x2 x30) as proof of (cP Xy0)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy0:=x0:fofType
% 277.02/277.47 Found x40 as proof of (cP x0)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy:=Xy0:fofType
% 277.02/277.47 Found x40 as proof of (cP Xy)
% 277.02/277.47 Found x41:(cP Xy0)
% 277.02/277.47 Instantiate: Xy0:=x0:fofType
% 277.02/277.47 Found x41 as proof of (cP x0)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x20 as proof of (cP x0)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x20 as proof of (cP x0)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy1:=Xy:fofType
% 277.02/277.47 Found x20 as proof of (cP Xy1)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x20 as proof of (cP x0)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy1:=Xy0:fofType
% 277.02/277.47 Found x40 as proof of (cP Xy1)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy0:=Xy1:fofType
% 277.02/277.47 Found x60 as proof of (cP Xy0)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy1:=x0:fofType
% 277.02/277.47 Found x60 as proof of (cP x0)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy0:=Xy:fofType
% 277.02/277.47 Found x20 as proof of (cP Xy0)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy0:=x0:fofType
% 277.02/277.47 Found x40 as proof of (cP x0)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy:=Xy1:fofType
% 277.02/277.47 Found x60 as proof of (cP Xy)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy0:=x0:fofType
% 277.02/277.47 Found x40 as proof of (cP x0)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy1:=x0:fofType
% 277.02/277.47 Found x60 as proof of (cP x0)
% 277.02/277.47 Found x41:(cP Xy0)
% 277.02/277.47 Instantiate: Xy:=Xy0:fofType
% 277.02/277.47 Found x41 as proof of (cP Xy)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy1:=x0:fofType
% 277.02/277.47 Found x60 as proof of (cP x0)
% 277.02/277.47 Found x21:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=Xy0:fofType
% 277.02/277.47 Found x21 as proof of (cP Xy0)
% 277.02/277.47 Found x20:=(x2 x60):(cP Xy)
% 277.02/277.47 Found (x2 x60) as proof of (cP Xy0)
% 277.02/277.47 Found (x2 x60) as proof of (cP Xy0)
% 277.02/277.47 Found (x2 x60) as proof of (cP Xy0)
% 277.02/277.47 Found x21:(cP Xy)
% 277.02/277.47 Found x21 as proof of (cP Xy)
% 277.02/277.47 Found x21:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x21 as proof of (cP x0)
% 277.02/277.47 Found x30:(cP x0)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x30 as proof of (cP Xy)
% 277.02/277.47 Found x21:(cP Xy)
% 277.02/277.47 Instantiate: Xy0:=Xy:fofType
% 277.02/277.47 Found x21 as proof of (cP Xy0)
% 277.02/277.47 Found x6:(cP x5)
% 277.02/277.47 Instantiate: Xy:=x5:fofType
% 277.02/277.47 Found x6 as proof of (cP Xy)
% 277.02/277.47 Found (x3 x6) as proof of (cP x0)
% 277.02/277.47 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 277.02/277.47 Found x30:(cP x0)
% 277.02/277.47 Found x30 as proof of (cP x0)
% 277.02/277.47 Found (x2 x30) as proof of (cP Xy0)
% 277.02/277.47 Found (x2 x30) as proof of (cP Xy0)
% 277.02/277.47 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 277.02/277.47 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 277.02/277.47 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 277.02/277.47 Found x21:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=Xy0:fofType
% 277.02/277.47 Found x21 as proof of (cP Xy0)
% 277.02/277.47 Found x30:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x30 as proof of (cP x0)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x20 as proof of (cP x0)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy:=Xy1:fofType
% 277.02/277.47 Found x60 as proof of (cP Xy)
% 277.02/277.47 Found x50:(cP x0)
% 277.02/277.47 Instantiate: Xy1:=x0:fofType
% 277.02/277.47 Found x50 as proof of (cP Xy1)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy1:=Xy0:fofType
% 277.02/277.47 Found x40 as proof of (cP Xy1)
% 277.02/277.47 Found x50:(cP x0)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x50 as proof of (cP Xy)
% 277.02/277.47 Found x60:(cP Xy1)
% 277.02/277.47 Instantiate: Xy0:=Xy1:fofType
% 277.02/277.47 Found x60 as proof of (cP Xy0)
% 277.02/277.47 Found x40:(cP Xy0)
% 277.02/277.47 Instantiate: Xy:=Xy0:fofType
% 277.02/277.47 Found x40 as proof of (cP Xy)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy0:=Xy:fofType
% 277.02/277.47 Found x20 as proof of (cP Xy0)
% 277.02/277.47 Found x70:(cP x0)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x70 as proof of (cP Xy)
% 277.02/277.47 Found x30:(cP Xy)
% 277.02/277.47 Instantiate: Xy:=x0:fofType
% 277.02/277.47 Found x30 as proof of (cP x0)
% 277.02/277.47 Found x20:(cP Xy)
% 277.02/277.47 Instantiate: Xy1:=Xy:fofType
% 278.61/279.03 Found x20 as proof of (cP Xy1)
% 278.61/279.03 Found x40:(cP x0)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x40 as proof of (cP Xy)
% 278.61/279.03 Found x70:(cP x0)
% 278.61/279.03 Instantiate: Xy0:=x0:fofType
% 278.61/279.03 Found x70 as proof of (cP Xy0)
% 278.61/279.03 Found x30:(cP x0)
% 278.61/279.03 Instantiate: Xy1:=x0:fofType
% 278.61/279.03 Found x30 as proof of (cP Xy1)
% 278.61/279.03 Found x30:(cP x0)
% 278.61/279.03 Instantiate: Xy0:=x0:fofType
% 278.61/279.03 Found x30 as proof of (cP Xy0)
% 278.61/279.03 Found x20:=(x2 x30):(cP Xy)
% 278.61/279.03 Instantiate: Xy:=Xy0:fofType
% 278.61/279.03 Found (x2 x30) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 278.61/279.03 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 278.61/279.03 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 278.61/279.03 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 278.61/279.03 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 278.61/279.03 Found x21:(cP Xy)
% 278.61/279.03 Found x21 as proof of (cP Xy0)
% 278.61/279.03 Found x40:(cP x0)
% 278.61/279.03 Found x40 as proof of (cP x0)
% 278.61/279.03 Found (x3 x40) as proof of (cP Xy)
% 278.61/279.03 Found (x3 x40) as proof of (cP Xy)
% 278.61/279.03 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 278.61/279.03 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 278.61/279.03 Found x20:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x20 as proof of (cP x0)
% 278.61/279.03 Found x21:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=Xy0:fofType
% 278.61/279.03 Found x21 as proof of (cP Xy0)
% 278.61/279.03 Found x32:(cP x0)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x32 as proof of (cP Xy)
% 278.61/279.03 Found x20:=(x2 x30):(cP Xy)
% 278.61/279.03 Instantiate: Xy:=Xy0:fofType
% 278.61/279.03 Found (x2 x30) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 278.61/279.03 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 278.61/279.03 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 278.61/279.03 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 278.61/279.03 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 278.61/279.03 Found x32:(cP x0)
% 278.61/279.03 Instantiate: Xy0:=x0:fofType
% 278.61/279.03 Found x32 as proof of (cP Xy0)
% 278.61/279.03 Found x30:(cP x0)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x30 as proof of (cP Xy)
% 278.61/279.03 Found x20:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x20 as proof of (cP x0)
% 278.61/279.03 Found x40:(cP Xy0)
% 278.61/279.03 Instantiate: Xy0:=x0:fofType
% 278.61/279.03 Found x40 as proof of (cP x0)
% 278.61/279.03 Found x20:=(x2 x30):(cP Xy)
% 278.61/279.03 Found (x2 x30) as proof of (cP Xy0)
% 278.61/279.03 Found (x2 x30) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 278.61/279.03 Found x20:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x20 as proof of (cP x0)
% 278.61/279.03 Found x50:=(x5 x30):(cP Xy1)
% 278.61/279.03 Found (x5 x30) as proof of (cP Xy0)
% 278.61/279.03 Found (x5 x30) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 278.61/279.03 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 278.61/279.03 Found x21:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=Xy0:fofType
% 278.61/279.03 Found x21 as proof of (cP Xy0)
% 278.61/279.03 Found x40:(cP Xy0)
% 278.61/279.03 Instantiate: Xy0:=x0:fofType
% 278.61/279.03 Found x40 as proof of (cP x0)
% 278.61/279.03 Found x22:(cP Xy)
% 278.61/279.03 Instantiate: Xy0:=Xy:fofType
% 278.61/279.03 Found x22 as proof of (cP Xy0)
% 278.61/279.03 Found x22:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x22 as proof of (cP x0)
% 278.61/279.03 Found x22:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x22 as proof of (cP x0)
% 278.61/279.03 Found x23:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x23 as proof of (cP x0)
% 278.61/279.03 Found x21:(cP Xy)
% 278.61/279.03 Instantiate: Xy:=Xy0:fofType
% 278.61/279.03 Found x21 as proof of (cP Xy0)
% 278.61/279.03 Found x33:(cP x0)
% 278.61/279.03 Instantiate: Xy:=x0:fofType
% 278.61/279.03 Found x33 as proof of (cP Xy)
% 278.61/279.03 Found x50:(cP Xy0)
% 278.61/279.03 Instantiate: Xy0:=Xy:fofType
% 278.61/279.03 Found (fun (x6:((cP Xy0)->(cP x3)))=> x50) as proof of (cP Xy)
% 278.61/279.03 Found (fun (x6:((cP Xy0)->(cP x3)))=> x50) as proof of (((cP Xy0)->(cP x3))->(cP Xy))
% 278.61/279.03 Found x30:=(x3 x40):(cP Xy0)
% 278.61/279.03 Instantiate: Xy0:=Xy:fofType
% 278.61/279.03 Found (x3 x40) as proof of (cP Xy)
% 278.61/279.03 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 279.93/280.35 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 279.93/280.35 Found ((ex_ind1 (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 279.93/280.35 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x2)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 279.93/280.35 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x2)) (cP Xy)) (fun (x5:fofType) (x6:(cP x5))=> (x3 x40))) as proof of (cP Xy)
% 279.93/280.35 Found x20:=(x2 x30):(cP Xy)
% 279.93/280.35 Instantiate: Xy:=Xy0:fofType
% 279.93/280.35 Found (x2 x30) as proof of (cP Xy0)
% 279.93/280.35 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 279.93/280.35 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 279.93/280.35 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 279.93/280.35 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 279.93/280.35 Found x30:(cP Xy0)
% 279.93/280.35 Instantiate: Xy0:=Xy:fofType
% 279.93/280.35 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 279.93/280.35 Found x21:(cP Xy)
% 279.93/280.35 Found x21 as proof of (cP Xy)
% 279.93/280.35 Found x41:(cP Xy0)
% 279.93/280.35 Instantiate: Xy:=Xy0:fofType
% 279.93/280.35 Found x41 as proof of (cP Xy)
% 279.93/280.35 Found x41:(cP Xy0)
% 279.93/280.35 Found x41 as proof of (cP Xy0)
% 279.93/280.35 Found x21:(cP Xy)
% 279.93/280.35 Instantiate: Xy0:=Xy:fofType
% 279.93/280.35 Found x21 as proof of (cP Xy0)
% 279.93/280.35 Found x21:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x21 as proof of (cP x0)
% 279.93/280.35 Found x41:(cP Xy0)
% 279.93/280.35 Instantiate: Xy0:=x0:fofType
% 279.93/280.35 Found x41 as proof of (cP x0)
% 279.93/280.35 Found x6:(cP x5)
% 279.93/280.35 Instantiate: Xy:=x5:fofType
% 279.93/280.35 Found x6 as proof of (cP Xy)
% 279.93/280.35 Found (x3 x6) as proof of (cP x0)
% 279.93/280.35 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 279.93/280.35 Found x50:(cP Xy0)
% 279.93/280.35 Instantiate: Xy0:=Xy:fofType
% 279.93/280.35 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (cP Xy)
% 279.93/280.35 Found (fun (x6:((cP Xy0)->(cP x0)))=> x50) as proof of (((cP Xy0)->(cP x0))->(cP Xy))
% 279.93/280.35 Found x30:(cP x0)
% 279.93/280.35 Found x30 as proof of (cP x0)
% 279.93/280.35 Found (x2 x30) as proof of (cP Xy0)
% 279.93/280.35 Found (x2 x30) as proof of (cP Xy0)
% 279.93/280.35 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 279.93/280.35 Found x50:(cP Xy0)
% 279.93/280.35 Instantiate: Xy0:=Xy:fofType
% 279.93/280.35 Found (fun (x6:((cP Xy0)->(cP x1)))=> x50) as proof of (cP Xy)
% 279.93/280.35 Found (fun (x6:((cP Xy0)->(cP x1)))=> x50) as proof of (((cP Xy0)->(cP x1))->(cP Xy))
% 279.93/280.35 Found x23:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x23 as proof of (cP x0)
% 279.93/280.35 Found x21:(cP Xy)
% 279.93/280.35 Found x21 as proof of (cP Xy0)
% 279.93/280.35 Found x30:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x30 as proof of (cP x0)
% 279.93/280.35 Found x21:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=Xy0:fofType
% 279.93/280.35 Found x21 as proof of (cP Xy0)
% 279.93/280.35 Found x40:(cP x0)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x40 as proof of (cP Xy)
% 279.93/280.35 Found x21:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=Xy0:fofType
% 279.93/280.35 Found x21 as proof of (cP Xy0)
% 279.93/280.35 Found x20:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x20 as proof of (cP x0)
% 279.93/280.35 Found x30:(cP Xy)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x30 as proof of (cP x0)
% 279.93/280.35 Found x30:(cP x0)
% 279.93/280.35 Instantiate: Xy:=x0:fofType
% 279.93/280.35 Found x30 as proof of (cP Xy)
% 279.93/280.35 Found x20:=(x2 x30):(cP Xy)
% 279.93/280.35 Instantiate: Xy:=Xy0:fofType
% 279.93/280.35 Found (x2 x30) as proof of (cP Xy0)
% 279.93/280.35 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 279.93/280.35 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 282.40/282.85 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 282.40/282.85 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 282.40/282.85 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 282.40/282.85 Found x40:(cP x0)
% 282.40/282.85 Found x40 as proof of (cP x0)
% 282.40/282.85 Found (x3 x40) as proof of (cP Xy)
% 282.40/282.85 Found (x3 x40) as proof of (cP Xy)
% 282.40/282.85 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 282.40/282.85 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 282.40/282.85 Found x20:=(x2 x30):(cP Xy)
% 282.40/282.85 Found (x2 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (x2 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 282.40/282.85 Found x50:=(x5 x30):(cP Xy1)
% 282.40/282.85 Found (x5 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (x5 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 282.40/282.85 Found x20:=(x2 x30):(cP Xy)
% 282.40/282.85 Instantiate: Xy:=Xy0:fofType
% 282.40/282.85 Found (x2 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 282.40/282.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 282.40/282.85 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 282.40/282.85 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 282.40/282.85 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 282.40/282.85 Found x20:=(x2 x31):(cP Xy)
% 282.40/282.85 Instantiate: Xy:=Xy0:fofType
% 282.40/282.85 Found (x2 x31) as proof of (cP Xy0)
% 282.40/282.85 Found x20:(cP Xy)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x20 as proof of (cP x0)
% 282.40/282.85 Found x20:(cP Xy)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x20 as proof of (cP x0)
% 282.40/282.85 Found x21:(cP Xy)
% 282.40/282.85 Instantiate: Xy:=Xy0:fofType
% 282.40/282.85 Found x21 as proof of (cP Xy0)
% 282.40/282.85 Found x20:=(x2 x31):(cP Xy)
% 282.40/282.85 Instantiate: Xy:=Xy0:fofType
% 282.40/282.85 Found (x2 x31) as proof of (cP Xy0)
% 282.40/282.85 Found (x2 x31) as proof of (cP Xy0)
% 282.40/282.85 Found x20:=(x2 x31):(cP Xy)
% 282.40/282.85 Found (x2 x31) as proof of (cP Xy0)
% 282.40/282.85 Found (x2 x31) as proof of (cP Xy0)
% 282.40/282.85 Found (x2 x31) as proof of (cP Xy0)
% 282.40/282.85 Found x21:(cP Xy)
% 282.40/282.85 Instantiate: Xy:=Xy0:fofType
% 282.40/282.85 Found x21 as proof of (cP Xy0)
% 282.40/282.85 Found x30:(cP Xy0)
% 282.40/282.85 Instantiate: Xy0:=Xy:fofType
% 282.40/282.85 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 282.40/282.85 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 282.40/282.85 Found x6:(cP x5)
% 282.40/282.85 Instantiate: Xy:=x5:fofType
% 282.40/282.85 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 282.40/282.85 Found x30:(cP x0)
% 282.40/282.85 Found x30 as proof of (cP x0)
% 282.40/282.85 Found (x2 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (x2 x30) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 282.40/282.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 282.40/282.85 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 282.40/282.85 Found x30:(cP x0)
% 282.40/282.85 Instantiate: Xy0:=x0:fofType
% 282.40/282.85 Found x30 as proof of (cP Xy0)
% 282.40/282.85 Found x30:(cP x0)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x30 as proof of (cP Xy)
% 282.40/282.85 Found x23:(cP Xy)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x23 as proof of (cP x0)
% 282.40/282.85 Found x32:(cP x0)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x32 as proof of (cP Xy)
% 282.40/282.85 Found x21:(cP Xy)
% 282.40/282.85 Found x21 as proof of (cP Xy0)
% 282.40/282.85 Found x20:(cP Xy)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x20 as proof of (cP x0)
% 282.40/282.85 Found x41:(cP Xy0)
% 282.40/282.85 Instantiate: Xy0:=x0:fofType
% 282.40/282.85 Found x41 as proof of (cP x0)
% 282.40/282.85 Found x30:(cP x0)
% 282.40/282.85 Instantiate: Xy:=x0:fofType
% 282.40/282.85 Found x30 as proof of (cP Xy)
% 282.40/282.85 Found x41:(cP Xy0)
% 282.40/282.85 Instantiate: Xy0:=x0:fofType
% 282.40/282.85 Found x41 as proof of (cP x0)
% 282.40/282.85 Found x50:(cP x0)
% 282.40/282.85 Instantiate: Xy0:=x0:fofType
% 282.40/282.85 Found x50 as proof of (cP Xy0)
% 282.40/282.85 Found x30:(cP x0)
% 282.40/282.85 Instantiate: Xy0:=x0:fofType
% 282.40/282.85 Found x30 as proof of (cP Xy0)
% 282.40/282.85 Found x50:(cP x0)
% 282.40/282.85 Instantiate: Xy1:=x0:fofType
% 282.40/282.85 Found x50 as proof of (cP Xy1)
% 282.40/282.85 Found x30:(cP x0)
% 282.40/282.85 Instantiate: Xy1:=x0:fofType
% 282.40/282.85 Found x30 as proof of (cP Xy1)
% 283.46/283.89 Found x50:(cP x0)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x50 as proof of (cP Xy)
% 283.46/283.89 Found x30:(cP x0)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x30 as proof of (cP Xy)
% 283.46/283.89 Found x20:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x20 as proof of (cP x0)
% 283.46/283.89 Found x20:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x20 as proof of (cP x0)
% 283.46/283.89 Found x20:(cP Xy)
% 283.46/283.89 Instantiate: Xy0:=Xy:fofType
% 283.46/283.89 Found x20 as proof of (cP Xy0)
% 283.46/283.89 Found x30:(cP x0)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x30 as proof of (cP Xy)
% 283.46/283.89 Found x20:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x20 as proof of (cP x0)
% 283.46/283.89 Found x40:(cP Xy0)
% 283.46/283.89 Instantiate: Xy0:=x0:fofType
% 283.46/283.89 Found x40 as proof of (cP x0)
% 283.46/283.89 Found x21:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x21 as proof of (cP x0)
% 283.46/283.89 Found x21:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=Xy0:fofType
% 283.46/283.89 Found x21 as proof of (cP Xy0)
% 283.46/283.89 Found x41:(cP Xy0)
% 283.46/283.89 Instantiate: Xy0:=x0:fofType
% 283.46/283.89 Found x41 as proof of (cP x0)
% 283.46/283.89 Found x22:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x22 as proof of (cP x0)
% 283.46/283.89 Found x22:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x22 as proof of (cP x0)
% 283.46/283.89 Found x41:(cP Xy0)
% 283.46/283.89 Instantiate: Xy0:=x0:fofType
% 283.46/283.89 Found x41 as proof of (cP x0)
% 283.46/283.89 Found x21:(cP Xy)
% 283.46/283.89 Instantiate: Xy:=x0:fofType
% 283.46/283.89 Found x21 as proof of (cP x0)
% 283.46/283.89 Found x40:(cP Xy0)
% 283.46/283.89 Instantiate: Xy0:=x0:fofType
% 283.46/283.89 Found x40 as proof of (cP x0)
% 283.46/283.89 Found x20:=(x2 x30):(cP Xy)
% 283.46/283.89 Instantiate: Xy:=Xy0:fofType
% 283.46/283.89 Found (x2 x30) as proof of (cP Xy0)
% 283.46/283.89 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 283.46/283.89 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 283.46/283.89 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 283.46/283.89 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 283.46/283.89 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 283.46/283.89 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 283.46/283.89 Found x30:(cP x0)
% 283.46/283.89 Instantiate: x5:=x0:fofType
% 283.46/283.89 Found x30 as proof of (cP x5)
% 283.46/283.89 Found (ex_intro000 x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found ((ex_intro00 x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) x30) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 283.46/283.89 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) x0) (x3 (x4 Xy)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 283.46/283.89 Found x20:(cP Xy)
% 283.46/283.90 Found x20 as proof of (cP Xy0)
% 283.46/283.90 Found x20:=(x2 x31):(cP Xy)
% 283.46/283.90 Instantiate: Xy:=Xy0:fofType
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found x20:(cP Xy)
% 283.46/283.90 Instantiate: Xy:=Xy0:fofType
% 283.46/283.90 Found x20 as proof of (cP Xy0)
% 283.46/283.90 Found x20:=(x2 x31):(cP Xy)
% 283.46/283.90 Instantiate: Xy:=Xy0:fofType
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found x30:(cP x0)
% 283.46/283.90 Instantiate: Xy:=x0:fofType
% 283.46/283.90 Found x30 as proof of (cP Xy)
% 283.46/283.90 Found x20:(cP Xy)
% 283.46/283.90 Instantiate: Xy:=x0:fofType
% 283.46/283.90 Found x20 as proof of (cP x0)
% 283.46/283.90 Found x20:(cP Xy)
% 283.46/283.90 Found x20 as proof of (cP Xy0)
% 283.46/283.90 Found x20:(cP Xy)
% 283.46/283.90 Instantiate: Xy:=Xy0:fofType
% 283.46/283.90 Found x20 as proof of (cP Xy0)
% 283.46/283.90 Found x20:=(x2 x31):(cP Xy)
% 283.46/283.90 Instantiate: Xy:=Xy0:fofType
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found x20:=(x2 x31):(cP Xy)
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found (x2 x31) as proof of (cP Xy0)
% 283.46/283.90 Found x20:(cP Xy)
% 283.46/283.90 Instantiate: Xy:=x0:fofType
% 283.46/283.90 Found x20 as proof of (cP x0)
% 283.46/283.90 Found x30:(cP x0)
% 283.46/283.90 Instantiate: Xy:=x0:fofType
% 283.46/283.90 Found x30 as proof of (cP Xy)
% 283.46/283.90 Found x20:(cP Xy)
% 283.46/283.90 Found x20 as proof of (cP Xy0)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found x20 as proof of (cP Xy0)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found x20 as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found x20 as proof of (cP Xy0)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found x20 as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x30:(cP x0)
% 284.72/285.14 Instantiate: Xy:=x0:fofType
% 284.72/285.14 Found x30 as proof of (cP Xy)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=x0:fofType
% 284.72/285.14 Found x20 as proof of (cP x0)
% 284.72/285.14 Found x30:(cP x0)
% 284.72/285.14 Instantiate: Xy:=x0:fofType
% 284.72/285.14 Found x30 as proof of (cP Xy)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x6:(cP x5)
% 284.72/285.14 Instantiate: Xy:=x5:fofType
% 284.72/285.14 Found x6 as proof of (cP Xy)
% 284.72/285.14 Found x31:(cP x0)
% 284.72/285.14 Found x31 as proof of (cP x0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x6:(cP x5)
% 284.72/285.14 Instantiate: Xy:=x5:fofType
% 284.72/285.14 Found x6 as proof of (cP Xy)
% 284.72/285.14 Found x21:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 284.72/285.14 Found x31:(cP x0)
% 284.72/285.14 Found x31 as proof of (cP x0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x21:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 284.72/285.14 Found x31:(cP x0)
% 284.72/285.14 Found x31 as proof of (cP x0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x31:(cP x0)
% 284.72/285.14 Found x31 as proof of (cP x0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x21:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 284.72/285.14 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 284.72/285.14 Found x31:(cP x0)
% 284.72/285.14 Found x31 as proof of (cP x0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x31:(cP x0)
% 284.72/285.14 Found x31 as proof of (cP x0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found x20 as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x30):(cP Xy)
% 284.72/285.14 Found (x2 x30) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x30) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 284.72/285.14 Found x50:=(x5 x30):(cP Xy1)
% 284.72/285.14 Found (x5 x30) as proof of (cP Xy0)
% 284.72/285.14 Found (x5 x30) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 284.72/285.14 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x21:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found x21 as proof of (cP Xy0)
% 284.72/285.14 Found x20:=(x2 x31):(cP Xy)
% 284.72/285.14 Instantiate: Xy:=Xy0:fofType
% 284.72/285.14 Found (x2 x31) as proof of (cP Xy0)
% 284.72/285.14 Found x20:(cP Xy)
% 284.72/285.14 Instantiate: Xy:=x0:fofType
% 284.72/285.14 Found x20 as proof of (cP x0)
% 284.72/285.14 Found x40:(cP Xy0)
% 284.72/285.14 Instantiate: Xy0:=x0:fofType
% 284.72/285.14 Found x40 as proof of (cP x0)
% 287.06/287.49 Found x20:(cP Xy)
% 287.06/287.49 Instantiate: Xy1:=Xy:fofType
% 287.06/287.49 Found x20 as proof of (cP Xy1)
% 287.06/287.49 Found x20:(cP Xy)
% 287.06/287.49 Instantiate: Xy0:=Xy:fofType
% 287.06/287.49 Found x20 as proof of (cP Xy0)
% 287.06/287.49 Found x40:(cP Xy0)
% 287.06/287.49 Instantiate: Xy:=Xy0:fofType
% 287.06/287.49 Found x40 as proof of (cP Xy)
% 287.06/287.49 Found x40:(cP Xy0)
% 287.06/287.49 Instantiate: Xy0:=x0:fofType
% 287.06/287.49 Found x40 as proof of (cP x0)
% 287.06/287.49 Found x40:(cP Xy0)
% 287.06/287.49 Instantiate: Xy0:=x0:fofType
% 287.06/287.49 Found x40 as proof of (cP x0)
% 287.06/287.49 Found x20:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x20 as proof of (cP x0)
% 287.06/287.49 Found x40:(cP Xy0)
% 287.06/287.49 Instantiate: Xy1:=Xy0:fofType
% 287.06/287.49 Found x40 as proof of (cP Xy1)
% 287.06/287.49 Found x00:=(x0 x5):(cP x5)
% 287.06/287.49 Found (x0 x5) as proof of (cP x5)
% 287.06/287.49 Found (x0 x5) as proof of (cP x5)
% 287.06/287.49 Found (ex_intro000 (x0 x5)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 287.06/287.49 Found x20:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x20 as proof of (cP x0)
% 287.06/287.49 Found x60:(cP Xy1)
% 287.06/287.49 Instantiate: Xy1:=x0:fofType
% 287.06/287.49 Found x60 as proof of (cP x0)
% 287.06/287.49 Found x60:(cP Xy1)
% 287.06/287.49 Instantiate: Xy1:=x0:fofType
% 287.06/287.49 Found x60 as proof of (cP x0)
% 287.06/287.49 Found x60:(cP Xy1)
% 287.06/287.49 Instantiate: Xy0:=Xy1:fofType
% 287.06/287.49 Found x60 as proof of (cP Xy0)
% 287.06/287.49 Found x31:(cP x0)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x31 as proof of (cP Xy)
% 287.06/287.49 Found x21:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x21 as proof of (cP x0)
% 287.06/287.49 Found x60:(cP Xy1)
% 287.06/287.49 Instantiate: Xy1:=x0:fofType
% 287.06/287.49 Found x60 as proof of (cP x0)
% 287.06/287.49 Found x60:(cP Xy1)
% 287.06/287.49 Instantiate: Xy:=Xy1:fofType
% 287.06/287.49 Found x60 as proof of (cP Xy)
% 287.06/287.49 Found x20:=(x2 x31):(cP Xy)
% 287.06/287.49 Instantiate: Xy:=Xy0:fofType
% 287.06/287.49 Found (x2 x31) as proof of (cP Xy0)
% 287.06/287.49 Found (x2 x31) as proof of (cP Xy0)
% 287.06/287.49 Found x6:(cP x5)
% 287.06/287.49 Instantiate: Xy:=x5:fofType
% 287.06/287.49 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 287.06/287.49 Found x20:=(x2 x31):(cP Xy)
% 287.06/287.49 Instantiate: Xy:=Xy0:fofType
% 287.06/287.49 Found (x2 x31) as proof of (cP Xy0)
% 287.06/287.49 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 287.06/287.49 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 287.06/287.49 Found x30:(cP Xy0)
% 287.06/287.49 Instantiate: Xy0:=Xy:fofType
% 287.06/287.49 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 287.06/287.49 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 287.06/287.49 Found x30:(cP Xy0)
% 287.06/287.49 Instantiate: Xy0:=Xy:fofType
% 287.06/287.49 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 287.06/287.49 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 287.06/287.49 Found x31:(cP x0)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x31 as proof of (cP Xy)
% 287.06/287.49 Found x20:=(x2 x31):(cP Xy)
% 287.06/287.49 Instantiate: Xy:=Xy0:fofType
% 287.06/287.49 Found (x2 x31) as proof of (cP Xy0)
% 287.06/287.49 Found (x2 x31) as proof of (cP Xy0)
% 287.06/287.49 Found x21:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x21 as proof of (cP x0)
% 287.06/287.49 Found x21:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x21 as proof of (cP x0)
% 287.06/287.49 Found x31:(cP x0)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x31 as proof of (cP Xy)
% 287.06/287.49 Found x21:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=Xy0:fofType
% 287.06/287.49 Found x21 as proof of (cP Xy0)
% 287.06/287.49 Found x6:(cP x5)
% 287.06/287.49 Instantiate: Xy:=x5:fofType
% 287.06/287.49 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 287.06/287.49 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 287.06/287.49 Found x30:(cP x0)
% 287.06/287.49 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 287.06/287.49 Found (fun (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 287.06/287.49 Found x21:(cP Xy)
% 287.06/287.49 Found x21 as proof of (cP Xy0)
% 287.06/287.49 Found x40:(cP x0)
% 287.06/287.49 Found x40 as proof of (cP x0)
% 287.06/287.49 Found (x3 x40) as proof of (cP Xy)
% 287.06/287.49 Found (x3 x40) as proof of (cP Xy)
% 287.06/287.49 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 287.06/287.49 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 287.06/287.49 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 287.06/287.49 Found x21:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=Xy0:fofType
% 287.06/287.49 Found x21 as proof of (cP Xy0)
% 287.06/287.49 Found x20:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x20 as proof of (cP x0)
% 287.06/287.49 Found x30:(cP x0)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x30 as proof of (cP Xy)
% 287.06/287.49 Found x40:(cP x1)
% 287.06/287.49 Found x40 as proof of (cP x1)
% 287.06/287.49 Found (x3 x40) as proof of (cP Xy)
% 287.06/287.49 Found (x3 x40) as proof of (cP Xy)
% 287.06/287.49 Found (x3 x40) as proof of (cP Xy)
% 287.06/287.49 Found x23:(cP Xy)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x23 as proof of (cP x0)
% 287.06/287.49 Found x32:(cP x0)
% 287.06/287.49 Instantiate: Xy:=x0:fofType
% 287.06/287.49 Found x32 as proof of (cP Xy)
% 287.06/287.49 Found x50:=(x5 x30):(cP Xy1)
% 287.06/287.49 Found (x5 x30) as proof of (cP Xy0)
% 287.06/287.49 Found (x5 x30) as proof of (cP Xy0)
% 287.06/287.49 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 287.06/287.49 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 289.19/289.65 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 289.19/289.65 Found x32:(cP x0)
% 289.19/289.65 Instantiate: Xy0:=x0:fofType
% 289.19/289.65 Found x32 as proof of (cP Xy0)
% 289.19/289.65 Found x20:=(x2 x30):(cP Xy)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 289.19/289.65 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 289.19/289.65 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 289.19/289.65 Found x60:(cP x0)
% 289.19/289.65 Found x60 as proof of (cP x0)
% 289.19/289.65 Found (x2 x60) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x60) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x60) as proof of (cP Xy0)
% 289.19/289.65 Found x30:(cP x0)
% 289.19/289.65 Found x30 as proof of (cP x0)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found x30:(cP x0)
% 289.19/289.65 Found x30 as proof of (cP x0)
% 289.19/289.65 Found (x5 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x5 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x5 x30) as proof of (cP Xy0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found x21 as proof of (cP Xy0)
% 289.19/289.65 Found x20:=(x2 x31):(cP Xy)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found (x2 x31) as proof of (cP Xy0)
% 289.19/289.65 Found x20:=(x2 x31):(cP Xy)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found (x2 x31) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x31) as proof of (cP Xy0)
% 289.19/289.65 Found x60:(cP x0)
% 289.19/289.65 Found x60 as proof of (cP x0)
% 289.19/289.65 Found (x5 x60) as proof of (cP Xy0)
% 289.19/289.65 Found (x5 x60) as proof of (cP Xy0)
% 289.19/289.65 Found (x5 x60) as proof of (cP Xy0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x21 as proof of (cP x0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x21 as proof of (cP x0)
% 289.19/289.65 Found x31:(cP x0)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x31 as proof of (cP Xy)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy0:=Xy:fofType
% 289.19/289.65 Found x21 as proof of (cP Xy0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Found x21 as proof of (cP Xy)
% 289.19/289.65 Found x20:=(x2 x31):(cP Xy)
% 289.19/289.65 Found (x2 x31) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x31) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x31) as proof of (cP Xy0)
% 289.19/289.65 Found x22:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x22 as proof of (cP x0)
% 289.19/289.65 Found x22:(cP Xy)
% 289.19/289.65 Instantiate: Xy0:=Xy:fofType
% 289.19/289.65 Found x22 as proof of (cP Xy0)
% 289.19/289.65 Found x41:(cP Xy0)
% 289.19/289.65 Found x41 as proof of (cP Xy0)
% 289.19/289.65 Found x41:(cP Xy0)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found x41 as proof of (cP Xy)
% 289.19/289.65 Found x22:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x22 as proof of (cP x0)
% 289.19/289.65 Found x41:(cP Xy0)
% 289.19/289.65 Instantiate: Xy0:=x0:fofType
% 289.19/289.65 Found x41 as proof of (cP x0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x21 as proof of (cP x0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Found x21 as proof of (cP Xy0)
% 289.19/289.65 Found x31:(cP x0)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x31 as proof of (cP Xy)
% 289.19/289.65 Found x23:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x23 as proof of (cP x0)
% 289.19/289.65 Found x41:(cP Xy0)
% 289.19/289.65 Instantiate: Xy0:=x0:fofType
% 289.19/289.65 Found x41 as proof of (cP x0)
% 289.19/289.65 Found x41:(cP Xy0)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found x41 as proof of (cP Xy)
% 289.19/289.65 Found x20:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x20 as proof of (cP x0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found x21 as proof of (cP Xy0)
% 289.19/289.65 Found x6:(cP x5)
% 289.19/289.65 Instantiate: Xy:=x5:fofType
% 289.19/289.65 Found x6 as proof of (cP Xy)
% 289.19/289.65 Found (x3 x6) as proof of (cP x0)
% 289.19/289.65 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=Xy0:fofType
% 289.19/289.65 Found x21 as proof of (cP Xy0)
% 289.19/289.65 Found x21:(cP Xy)
% 289.19/289.65 Instantiate: Xy:=x0:fofType
% 289.19/289.65 Found x21 as proof of (cP x0)
% 289.19/289.65 Found x50:=(x5 x30):(cP Xy1)
% 289.19/289.65 Found (x5 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x5 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 289.19/289.65 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 289.19/289.65 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 289.19/289.65 Found x20:=(x2 x30):(cP Xy)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (x2 x30) as proof of (cP Xy0)
% 289.19/289.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 289.19/289.65 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 290.27/290.71 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 290.27/290.71 Found x40:(cP x0)
% 290.27/290.71 Found x40 as proof of (cP x0)
% 290.27/290.71 Found (x3 x40) as proof of (cP Xy)
% 290.27/290.71 Found (x3 x40) as proof of (cP Xy)
% 290.27/290.71 Found (fun (x6:(cP x5))=> (x3 x40)) as proof of (cP Xy)
% 290.27/290.71 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of ((cP x5)->(cP Xy))
% 290.27/290.71 Found (fun (x5:fofType) (x6:(cP x5))=> (x3 x40)) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 290.27/290.71 Found x60:(cP x0)
% 290.27/290.71 Found x60 as proof of (cP x0)
% 290.27/290.71 Found (x2 x60) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x60) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x60) as proof of (cP Xy0)
% 290.27/290.71 Found x60:(cP x0)
% 290.27/290.71 Found x60 as proof of (cP x0)
% 290.27/290.71 Found (x5 x60) as proof of (cP Xy0)
% 290.27/290.71 Found (x5 x60) as proof of (cP Xy0)
% 290.27/290.71 Found (x5 x60) as proof of (cP Xy0)
% 290.27/290.71 Found x30:(cP x0)
% 290.27/290.71 Found x30 as proof of (cP x0)
% 290.27/290.71 Found (x5 x30) as proof of (cP Xy0)
% 290.27/290.71 Found (x5 x30) as proof of (cP Xy0)
% 290.27/290.71 Found (x5 x30) as proof of (cP Xy0)
% 290.27/290.71 Found x30:(cP x0)
% 290.27/290.71 Found x30 as proof of (cP x0)
% 290.27/290.71 Found (x2 x30) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x30) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x30) as proof of (cP Xy0)
% 290.27/290.71 Found x30:(cP x0)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x30 as proof of (cP Xy)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=Xy0:fofType
% 290.27/290.71 Found x21 as proof of (cP Xy0)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x21 as proof of (cP x0)
% 290.27/290.71 Found x20:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x20 as proof of (cP x0)
% 290.27/290.71 Found x32:(cP x0)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x32 as proof of (cP Xy)
% 290.27/290.71 Found x22:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x22 as proof of (cP x0)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Instantiate: Xy0:=Xy:fofType
% 290.27/290.71 Found x21 as proof of (cP Xy0)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x21 as proof of (cP x0)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x21 as proof of (cP x0)
% 290.27/290.71 Found x50:=(x5 x60):(cP Xy0)
% 290.27/290.71 Instantiate: Xy0:=Xy:fofType
% 290.27/290.71 Found (x5 x60) as proof of (cP Xy)
% 290.27/290.71 Found (x5 x60) as proof of (cP Xy)
% 290.27/290.71 Found x31:(cP x0)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x31 as proof of (cP Xy)
% 290.27/290.71 Found x20:=(x2 x31):(cP Xy)
% 290.27/290.71 Found (x2 x31) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x31) as proof of (cP Xy0)
% 290.27/290.71 Found x41:(cP Xy0)
% 290.27/290.71 Instantiate: Xy0:=x0:fofType
% 290.27/290.71 Found x41 as proof of (cP x0)
% 290.27/290.71 Found x20:=(x2 x30):(cP Xy)
% 290.27/290.71 Instantiate: Xy:=Xy0:fofType
% 290.27/290.71 Found (x2 x30) as proof of (cP Xy0)
% 290.27/290.71 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 290.27/290.71 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 290.27/290.71 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 290.27/290.71 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 290.27/290.71 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 290.27/290.71 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Found x21 as proof of (cP Xy)
% 290.27/290.71 Found x20:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=Xy0:fofType
% 290.27/290.71 Found x20 as proof of (cP Xy0)
% 290.27/290.71 Found x41:(cP Xy0)
% 290.27/290.71 Found x41 as proof of (cP Xy0)
% 290.27/290.71 Found x41:(cP Xy0)
% 290.27/290.71 Instantiate: Xy:=Xy0:fofType
% 290.27/290.71 Found x41 as proof of (cP Xy)
% 290.27/290.71 Found x30:(cP x0)
% 290.27/290.71 Instantiate: Xy0:=x0:fofType
% 290.27/290.71 Found x30 as proof of (cP Xy0)
% 290.27/290.71 Found x21:(cP Xy)
% 290.27/290.71 Instantiate: Xy:=Xy0:fofType
% 290.27/290.71 Found x21 as proof of (cP Xy0)
% 290.27/290.71 Found x20:=(x2 x31):(cP Xy)
% 290.27/290.71 Instantiate: Xy:=Xy0:fofType
% 290.27/290.71 Found (x2 x31) as proof of (cP Xy0)
% 290.27/290.71 Found x30:(cP x0)
% 290.27/290.71 Instantiate: Xy0:=x0:fofType
% 290.27/290.71 Found x30 as proof of (cP Xy0)
% 290.27/290.71 Found x20:=(x2 x31):(cP Xy)
% 290.27/290.71 Found (x2 x31) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x31) as proof of (cP Xy0)
% 290.27/290.71 Found (x2 x31) as proof of (cP Xy0)
% 290.27/290.71 Found x50:(cP x0)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x50 as proof of (cP Xy)
% 290.27/290.71 Found x50:(cP x0)
% 290.27/290.71 Instantiate: Xy:=x0:fofType
% 290.27/290.71 Found x50 as proof of (cP Xy)
% 290.27/290.71 Found x30:(cP Xy0)
% 290.27/290.71 Instantiate: Xy0:=Xy:fofType
% 290.27/290.71 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 290.27/290.71 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 290.27/290.71 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x21 as proof of (cP x0)
% 293.86/294.31 Found x31:(cP x0)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x31 as proof of (cP Xy)
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Found x21 as proof of (cP Xy0)
% 293.86/294.31 Found x6:(cP x5)
% 293.86/294.31 Instantiate: Xy:=x5:fofType
% 293.86/294.31 Found x6 as proof of (cP Xy)
% 293.86/294.31 Found (x3 x6) as proof of (cP x0)
% 293.86/294.31 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 293.86/294.31 Found x20:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x20 as proof of (cP x0)
% 293.86/294.31 Found x50:(cP x0)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x50 as proof of (cP Xy)
% 293.86/294.31 Found x50:(cP x0)
% 293.86/294.31 Instantiate: Xy1:=x0:fofType
% 293.86/294.31 Found x50 as proof of (cP Xy1)
% 293.86/294.31 Found x20:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x20 as proof of (cP x0)
% 293.86/294.31 Found x50:(cP x0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x50 as proof of (cP Xy0)
% 293.86/294.31 Found x20:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x20 as proof of (cP x0)
% 293.86/294.31 Found x30:(cP x0)
% 293.86/294.31 Instantiate: Xy1:=x0:fofType
% 293.86/294.31 Found x30 as proof of (cP Xy1)
% 293.86/294.31 Found x20:(cP Xy)
% 293.86/294.31 Instantiate: Xy0:=Xy:fofType
% 293.86/294.31 Found x20 as proof of (cP Xy0)
% 293.86/294.31 Found x23:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x23 as proof of (cP x0)
% 293.86/294.31 Found x30:(cP x0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x30 as proof of (cP Xy0)
% 293.86/294.31 Found x20:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x20 as proof of (cP x0)
% 293.86/294.31 Found x30:(cP x0)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x30 as proof of (cP Xy)
% 293.86/294.31 Found x41:(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x41 as proof of (cP x0)
% 293.86/294.31 Found x40:(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x40 as proof of (cP x0)
% 293.86/294.31 Found x41:(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x41 as proof of (cP x0)
% 293.86/294.31 Found x22:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x22 as proof of (cP x0)
% 293.86/294.31 Found x32:(cP x0)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x32 as proof of (cP Xy)
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x21 as proof of (cP x0)
% 293.86/294.31 Found x22:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x22 as proof of (cP x0)
% 293.86/294.31 Found x40:(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x40 as proof of (cP x0)
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x21 as proof of (cP x0)
% 293.86/294.31 Found x20:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x20 as proof of (cP x0)
% 293.86/294.31 Found x30:(cP x0)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x30 as proof of (cP Xy)
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=Xy0:fofType
% 293.86/294.31 Found x21 as proof of (cP Xy0)
% 293.86/294.31 Found x30:=(x3 x41):(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=Xy:fofType
% 293.86/294.31 Found (x3 x41) as proof of (cP Xy)
% 293.86/294.31 Found (x3 x41) as proof of (cP Xy)
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=Xy0:fofType
% 293.86/294.31 Found x21 as proof of (cP Xy0)
% 293.86/294.31 Found x40:(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x40 as proof of (cP x0)
% 293.86/294.31 Found x21:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=Xy0:fofType
% 293.86/294.31 Found x21 as proof of (cP Xy0)
% 293.86/294.31 Found x20:=(x2 x30):(cP Xy)
% 293.86/294.31 Found (x2 x30) as proof of (cP Xy0)
% 293.86/294.31 Found (x2 x30) as proof of (cP Xy0)
% 293.86/294.31 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 293.86/294.31 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 293.86/294.31 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 293.86/294.31 Found x50:=(x5 x30):(cP Xy1)
% 293.86/294.31 Found (x5 x30) as proof of (cP Xy0)
% 293.86/294.31 Found (x5 x30) as proof of (cP Xy0)
% 293.86/294.31 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 293.86/294.31 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 293.86/294.31 Found (fun (x5:((cP x0)->(cP Xy1))) (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 293.86/294.31 Found x22:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x22 as proof of (cP x0)
% 293.86/294.31 Found x40:(cP Xy0)
% 293.86/294.31 Instantiate: Xy0:=x0:fofType
% 293.86/294.31 Found x40 as proof of (cP x0)
% 293.86/294.31 Found x22:(cP Xy)
% 293.86/294.31 Instantiate: Xy:=x0:fofType
% 293.86/294.31 Found x22 as proof of (cP x0)
% 293.86/294.31 Found x30:(cP x0)
% 293.86/294.31 Found x30 as proof of (cP x0)
% 293.86/294.31 Found (x2 x30) as proof of (cP Xy0)
% 293.86/294.31 Found (x2 x30) as proof of (cP Xy0)
% 293.86/294.31 Found (x2 x30) as proof of (cP Xy0)
% 293.86/294.31 Found x60:(cP x0)
% 293.86/294.31 Found x60 as proof of (cP x0)
% 293.86/294.31 Found (x5 x60) as proof of (cP Xy0)
% 293.86/294.31 Found (x5 x60) as proof of (cP Xy0)
% 293.86/294.31 Found (x5 x60) as proof of (cP Xy0)
% 293.86/294.31 Found x60:(cP x0)
% 293.86/294.31 Found x60 as proof of (cP x0)
% 293.86/294.31 Found (x2 x60) as proof of (cP Xy0)
% 293.86/294.31 Found (x2 x60) as proof of (cP Xy0)
% 296.18/296.65 Found (x2 x60) as proof of (cP Xy0)
% 296.18/296.65 Found x30:(cP x0)
% 296.18/296.65 Found x30 as proof of (cP x0)
% 296.18/296.65 Found (x5 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (x5 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (x5 x30) as proof of (cP Xy0)
% 296.18/296.65 Found x20:=(x2 x31):(cP Xy)
% 296.18/296.65 Found (x2 x31) as proof of (cP Xy0)
% 296.18/296.65 Found (x2 x31) as proof of (cP Xy0)
% 296.18/296.65 Found x21:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x21 as proof of (cP x0)
% 296.18/296.65 Found x40:(cP Xy0)
% 296.18/296.65 Instantiate: Xy:=Xy0:fofType
% 296.18/296.65 Found x40 as proof of (cP Xy)
% 296.18/296.65 Found x20:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x20 as proof of (cP x0)
% 296.18/296.65 Found x20:=(x2 x31):(cP Xy)
% 296.18/296.65 Instantiate: Xy:=Xy0:fofType
% 296.18/296.65 Found (x2 x31) as proof of (cP Xy0)
% 296.18/296.65 Found (x2 x31) as proof of (cP Xy0)
% 296.18/296.65 Found x40:(cP Xy0)
% 296.18/296.65 Instantiate: Xy0:=x0:fofType
% 296.18/296.65 Found x40 as proof of (cP x0)
% 296.18/296.65 Found x20:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x20 as proof of (cP x0)
% 296.18/296.65 Found x20:(cP Xy)
% 296.18/296.65 Instantiate: Xy1:=Xy:fofType
% 296.18/296.65 Found x20 as proof of (cP Xy1)
% 296.18/296.65 Found x40:(cP Xy0)
% 296.18/296.65 Instantiate: Xy1:=Xy0:fofType
% 296.18/296.65 Found x40 as proof of (cP Xy1)
% 296.18/296.65 Found x20:(cP Xy)
% 296.18/296.65 Instantiate: Xy0:=Xy:fofType
% 296.18/296.65 Found x20 as proof of (cP Xy0)
% 296.18/296.65 Found x40:(cP Xy0)
% 296.18/296.65 Instantiate: Xy0:=x0:fofType
% 296.18/296.65 Found x40 as proof of (cP x0)
% 296.18/296.65 Found x40:(cP Xy0)
% 296.18/296.65 Instantiate: Xy0:=x0:fofType
% 296.18/296.65 Found x40 as proof of (cP x0)
% 296.18/296.65 Found x20:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x20 as proof of (cP x0)
% 296.18/296.65 Found x20:=(x2 x30):(cP Xy)
% 296.18/296.65 Instantiate: Xy:=Xy0:fofType
% 296.18/296.65 Found (x2 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 296.18/296.65 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 296.18/296.65 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 296.18/296.65 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 296.18/296.65 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 296.18/296.65 Found x20:=(x2 x31):(cP Xy)
% 296.18/296.65 Instantiate: Xy:=Xy0:fofType
% 296.18/296.65 Found (x2 x31) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 296.18/296.65 Found x30:(cP Xy0)
% 296.18/296.65 Instantiate: Xy0:=Xy:fofType
% 296.18/296.65 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 296.18/296.65 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 296.18/296.65 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 296.18/296.65 Found x31:(cP x0)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x31 as proof of (cP Xy)
% 296.18/296.65 Found x31:(cP x0)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x31 as proof of (cP Xy)
% 296.18/296.65 Found x21:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x21 as proof of (cP x0)
% 296.18/296.65 Found x31:(cP x0)
% 296.18/296.65 Instantiate: Xy0:=x0:fofType
% 296.18/296.65 Found x31 as proof of (cP Xy0)
% 296.18/296.65 Found x30:(cP Xy0)
% 296.18/296.65 Instantiate: Xy0:=Xy:fofType
% 296.18/296.65 Found (fun (x6:(cP x5))=> x30) as proof of (cP Xy)
% 296.18/296.65 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP Xy))
% 296.18/296.65 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP Xy)))
% 296.18/296.65 Found x21:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=Xy0:fofType
% 296.18/296.65 Found x21 as proof of (cP Xy0)
% 296.18/296.65 Found x6:(cP x5)
% 296.18/296.65 Instantiate: Xy:=x5:fofType
% 296.18/296.65 Found x6 as proof of (cP Xy)
% 296.18/296.65 Found (x3 x6) as proof of (cP x0)
% 296.18/296.65 Found (fun (x6:(cP x5))=> (x3 x6)) as proof of (cP x0)
% 296.18/296.65 Found x31:(cP x0)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x31 as proof of (cP Xy)
% 296.18/296.65 Found x6:(cP x5)
% 296.18/296.65 Instantiate: Xy:=x5:fofType
% 296.18/296.65 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 296.18/296.65 Found x21:(cP Xy)
% 296.18/296.65 Instantiate: Xy:=x0:fofType
% 296.18/296.65 Found x21 as proof of (cP x0)
% 296.18/296.65 Found x30:(cP x0)
% 296.18/296.65 Found x30 as proof of (cP x0)
% 296.18/296.65 Found (x5 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (x5 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 296.18/296.65 Found x30:(cP x0)
% 296.18/296.65 Found x30 as proof of (cP x0)
% 296.18/296.65 Found (x2 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (x2 x30) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 296.18/296.65 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 296.18/296.65 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x20 as proof of (cP x0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x20 as proof of (cP x0)
% 297.19/297.64 Found x21:(cP Xy)
% 297.19/297.64 Found x21 as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy0:=Xy:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: x5:=Xy:fofType
% 297.19/297.64 Found x20 as proof of (cP x5)
% 297.19/297.64 Found (ex_intro000 x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found ((ex_intro00 Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found (((ex_intro0 (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) x20) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cP Xx)))
% 297.19/297.64 Found (fun (x4:(forall (Xy:fofType), (cP Xy)))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cP Xx))) Xy) (x2 (x4 x0)))) as proof of ((forall (Xy:fofType), (cP Xy))->((ex fofType) (fun (Xx:fofType)=> (cP Xx))))
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x20 as proof of (cP x0)
% 297.19/297.64 Found x30:(cP x0)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x30 as proof of (cP Xy)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x30:(cP x0)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x30 as proof of (cP Xy)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x20 as proof of (cP x0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found x20 as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x20 as proof of (cP x0)
% 297.19/297.64 Found x30:(cP x0)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x30 as proof of (cP Xy)
% 297.19/297.64 Found x30:(cP x0)
% 297.19/297.64 Instantiate: Xy:=x0:fofType
% 297.19/297.64 Found x30 as proof of (cP Xy)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x6:(cP x5)
% 297.19/297.64 Instantiate: Xy:=x5:fofType
% 297.19/297.64 Found x6 as proof of (cP Xy)
% 297.19/297.64 Found x31:(cP x0)
% 297.19/297.64 Found x31 as proof of (cP x0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x20:=(x2 x31):(cP Xy)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 297.19/297.64 Found x21:(cP Xy)
% 297.19/297.64 Instantiate: Xy:=Xy0:fofType
% 297.19/297.64 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 297.19/297.64 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 297.19/297.64 Found x6:(cP x5)
% 297.19/297.64 Instantiate: Xy:=x5:fofType
% 297.19/297.64 Found x6 as proof of (cP Xy)
% 297.19/297.64 Found x31:(cP x0)
% 297.19/297.64 Found x31 as proof of (cP x0)
% 297.19/297.64 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x20:=(x2 x31):(cP Xy)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 298.51/298.96 Found (fun (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 298.51/298.96 Found x31:(cP x0)
% 298.51/298.96 Found x31 as proof of (cP x0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x31:(cP x0)
% 298.51/298.96 Found x31 as proof of (cP x0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x20:=(x2 x31):(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found (fun (x6:(cP x5))=> x21) as proof of (cP Xy0)
% 298.51/298.96 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of ((cP x5)->(cP Xy0))
% 298.51/298.96 Found (fun (x5:fofType) (x6:(cP x5))=> x21) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 298.51/298.96 Found x31:(cP x0)
% 298.51/298.96 Found x31 as proof of (cP x0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x20:=(x2 x31):(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x31:(cP x0)
% 298.51/298.96 Found x31 as proof of (cP x0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x20:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found x20 as proof of (cP Xy0)
% 298.51/298.96 Found x20:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=x0:fofType
% 298.51/298.96 Found x20 as proof of (cP x0)
% 298.51/298.96 Found x30:=(x3 x41):(cP Xy0)
% 298.51/298.96 Instantiate: Xy0:=Xy:fofType
% 298.51/298.96 Found (x3 x41) as proof of (cP Xy)
% 298.51/298.96 Found (x3 x41) as proof of (cP Xy)
% 298.51/298.96 Found x30:(cP x0)
% 298.51/298.96 Instantiate: Xy:=x0:fofType
% 298.51/298.96 Found x30 as proof of (cP Xy)
% 298.51/298.96 Found x20:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=x0:fofType
% 298.51/298.96 Found x20 as proof of (cP x0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found x21 as proof of (cP Xy0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found x21 as proof of (cP Xy0)
% 298.51/298.96 Found x30:(cP x0)
% 298.51/298.96 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 298.51/298.96 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of ((cP x5)->(cP x0))
% 298.51/298.96 Found (fun (x5:fofType) (x6:(cP x5))=> x30) as proof of (forall (x:fofType), ((cP x)->(cP x0)))
% 298.51/298.96 Found x6:(cP x5)
% 298.51/298.96 Instantiate: Xy:=x5:fofType
% 298.51/298.96 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 298.51/298.96 Found x41:(cP Xy0)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found x41 as proof of (cP Xy)
% 298.51/298.96 Found x41:(cP Xy0)
% 298.51/298.96 Found x41 as proof of (cP Xy0)
% 298.51/298.96 Found x20:=(x2 x31):(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x41:(cP Xy0)
% 298.51/298.96 Instantiate: Xy0:=x0:fofType
% 298.51/298.96 Found x41 as proof of (cP x0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Found x21 as proof of (cP Xy0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found x21 as proof of (cP Xy0)
% 298.51/298.96 Found x20:=(x2 x30):(cP Xy)
% 298.51/298.96 Instantiate: Xy:=Xy0:fofType
% 298.51/298.96 Found (x2 x30) as proof of (cP Xy0)
% 298.51/298.96 Found (fun (x6:(cP x5))=> (x2 x30)) as proof of (cP Xy0)
% 298.51/298.96 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of ((cP x5)->(cP Xy0))
% 298.51/298.96 Found (fun (x5:fofType) (x6:(cP x5))=> (x2 x30)) as proof of (forall (x:fofType), ((cP x)->(cP Xy0)))
% 298.51/298.96 Found (ex_ind10 (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 298.51/298.96 Found ((ex_ind1 (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 298.51/298.96 Found (((fun (P:Prop) (x5:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x5) x4)) (cP Xy0)) (fun (x5:fofType) (x6:(cP x5))=> (x2 x30))) as proof of (cP Xy0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy0:=Xy:fofType
% 298.51/298.96 Found x21 as proof of (cP Xy0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Instantiate: Xy:=x0:fofType
% 298.51/298.96 Found x21 as proof of (cP x0)
% 298.51/298.96 Found x21:(cP Xy)
% 298.51/298.96 Found x21 as proof of (cP Xy)
% 298.51/298.96 Found x30:=(x3 x40):(cP Xy0)
% 298.51/298.96 Instantiate: Xy0:=Xy:fofType
% 298.51/298.96 Found (x3 x40) as proof of (cP Xy)
% 298.51/298.96 Found (x3 x40) as proof of (cP Xy)
% 298.51/298.96 Found x20:=(x2 x31):(cP Xy)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found (x2 x31) as proof of (cP Xy0)
% 298.51/298.96 Found x6:(cP x5)
% 298.51/298.96 Instantiate: Xy:=x5:fofType
% 298.51/298.96 Found x6 as proof of (cP Xy)
% 298.51/298.96 Found (x3 x6) as proof of (cP x0)
% 298.51/298.96 Found (x3 x6) as proof of (cP x0)
% 298.51/298.96 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 299.57/300.02 Found (x7 (x3 x6)) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 299.57/300.02 Found (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6))) as proof of (((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->(cP Xy0)))
% 299.57/300.02 Found (and_rect10 (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 299.57/300.02 Found ((and_rect1 (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 299.57/300.02 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy1))->(((cP Xy1)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy1))) ((cP Xy1)->(cP x0))) P) x7) x11)) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy1))) (x8:((cP Xy1)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 299.57/300.02 Found (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6)))) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:(cP x5))=> (((fun (P:Type) (x7:(((cP x0)->(cP Xy0))->(((cP Xy0)->(cP x0))->P)))=> (((((and_rect ((cP x0)->(cP Xy0))) ((cP Xy0)->(cP x0))) P) x7) (x1 Xy0))) (cP Xy0)) (fun (x7:((cP x0)->(cP Xy0))) (x8:((cP Xy0)->(cP x0)))=> (x7 (x3 x6))))) as proof of (cP Xy0)
% 299.57/300.02 Found x41:(cP Xy0)
% 299.57/300.02 Instantiate: Xy0:=x0:fofType
% 299.57/300.02 Found x41 as proof of (cP x0)
% 299.57/300.02 Found x41:(cP Xy0)
% 299.57/300.02 Found x41 as proof of (cP Xy0)
% 299.57/300.02 Found x41:(cP Xy0)
% 299.57/300.02 Instantiate: Xy:=Xy0:fofType
% 299.57/300.02 Found x41 as proof of (cP Xy)
% 299.57/300.02 Found x20:=(x2 x31):(cP Xy)
% 299.57/300.02 Instantiate: Xy:=Xy0:fofType
% 299.57/300.02 Found (x2 x31) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:(cP x5))=> (x2 x31)) as proof of ((cP x5)->(cP Xy0))
% 299.57/300.02 Found x21:(cP Xy)
% 299.57/300.02 Instantiate: Xy:=x0:fofType
% 299.57/300.02 Found x21 as proof of (cP x0)
% 299.57/300.02 Found x31:(cP x0)
% 299.57/300.02 Instantiate: Xy:=x0:fofType
% 299.57/300.02 Found x31 as proof of (cP Xy)
% 299.57/300.02 Found x20:=(x2 x31):(cP Xy)
% 299.57/300.02 Instantiate: Xy:=Xy0:fofType
% 299.57/300.02 Found (x2 x31) as proof of (cP Xy0)
% 299.57/300.02 Found (x2 x31) as proof of (cP Xy0)
% 299.57/300.02 Found x20:=(x2 x31):(cP Xy)
% 299.57/300.02 Instantiate: Xy:=Xy0:fofType
% 299.57/300.02 Found (x2 x31) as proof of (cP Xy0)
% 299.57/300.02 Found (x2 x31) as proof of (cP Xy0)
% 299.57/300.02 Found x30:(cP x0)
% 299.57/300.02 Instantiate: Xy:=x0:fofType
% 299.57/300.02 Found x30 as proof of (cP Xy)
% 299.57/300.02 Found x6:(cP x5)
% 299.57/300.02 Instantiate: Xy:=x5:fofType
% 299.57/300.02 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 299.57/300.02 Found x21:(cP Xy)
% 299.57/300.02 Found x21 as proof of (cP Xy0)
% 299.57/300.02 Found x20:(cP Xy)
% 299.57/300.02 Instantiate: Xy:=x0:fofType
% 299.57/300.02 Found x20 as proof of (cP x0)
% 299.57/300.02 Found x21:(cP Xy)
% 299.57/300.02 Instantiate: Xy:=x0:fofType
% 299.57/300.02 Found x21 as proof of (cP x0)
% 299.57/300.02 Found x31:(cP x0)
% 299.57/300.02 Instantiate: Xy:=x0:fofType
% 299.57/300.02 Found x31 as proof of (cP Xy)
% 299.57/300.02 Found x30:(cP x0)
% 299.57/300.02 Found x30 as proof of (cP x0)
% 299.57/300.02 Found (x5 x30) as proof of (cP Xy0)
% 299.57/300.02 Found (x5 x30) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x5 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 299.57/300.02 Found x30:(cP x0)
% 299.57/300.02 Found x30 as proof of (cP x0)
% 299.57/300.02 Found (x2 x30) as proof of (cP Xy0)
% 299.57/300.02 Found (x2 x30) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (cP Xy0)
% 299.57/300.02 Found (fun (x6:((cP Xy1)->(cP x0)))=> (x2 x30)) as proof of (((cP Xy1)->(cP x0))->(cP Xy0))
% 299.57/300.02 Found x40:=(x4 x30):(cP Xy0)
% 299.57/300.02 Instantiate: Xy0:=Xy1:fofType
% 299.57/300.02 Found (x4 x30) as proof of (cP Xy1)
% 299.57/300.02 Found (x4 x30) as proof of (cP Xy1)
% 299.57/300.02 Found x20:=(x2 x50):(cP Xy)
% 299.57/300.02 Instantiate: Xy:=Xy1:fofType
% 299.57/300.02 Found (x2 x50) as proof of (cP Xy1)
% 299.57/300.02 Found (x2 x50) as proof of (cP Xy1)
% 299.57/300.02 Found x40:=(x4 x50):(cP Xy0)
% 299.57/300.02 Instantiate: Xy0:=Xy1:fofType
% 299.57/300.02 Found (x4 x50) as proof of (cP Xy1)
% 299.57/300.02 Found (x4 x50) as proof of (cP Xy1)
% 299.57/300.02 Found x21:(cP Xy)
% 299.57/300.02 Instantiate: Xy:=Xy0:fofType
% 299.57/300.02 Found x21 as proof of (cP Xy0)
% 299.57/300.02 Found x20:=(x2 x30):(cP Xy)
% 299.57/300.02 Instantiate: Xy:=Xy1:fofType
% 299.57/300.02 Found (x2 x30) as proof of (cP Xy1)
% 299.57/300.02 Found (x2 x30) as proof of (cP Xy1)
% 299.57/300.02 Found x6:(cP x5)
% 299.57/300.02 Instantiate: Xy:=x5:fofType
% 299.57/300.02 Found (fun (x6:(cP x5))=> x6) as proof of (cP Xy)
% 299.57/300.02 Found (fun (x6:(cP x5))=> x6) as proof of ((cP x5)->(cP Xy))
% 299.57/300.02 Found x30:(cP x0)
% 299.57/300.02 Found (fun (x6:(cP x5))=> x30) as proof of (cP x0)
% 299.57/300.02 Found (fun (x6:(cP x5))=> x30) as proof o
%------------------------------------------------------------------------------