TSTP Solution File: SYO211^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO211^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 00:50:55 EDT 2022
% Result : Timeout 286.44s 286.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO211^5 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 11 19:02:49 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 1.68/1.90 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 1.68/1.90 FOF formula (<kernel.Constant object at 0x26df488>, <kernel.Constant object at 0x26df128>) of role type named x
% 1.68/1.90 Using role type
% 1.68/1.90 Declaring x:fofType
% 1.68/1.90 FOF formula ((ex fofType) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) of role conjecture named cCT24
% 1.68/1.90 Conjecture to prove = ((ex fofType) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))):Prop
% 1.68/1.90 We need to prove ['((ex fofType) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))']
% 1.68/1.90 Parameter fofType:Type.
% 1.68/1.90 Parameter x:fofType.
% 1.68/1.90 Trying to prove ((ex fofType) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 1.68/1.90 Found x:fofType
% 1.68/1.90 Found x as proof of fofType
% 1.68/1.90 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 1.68/1.90 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 1.68/1.90 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 1.68/1.90 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 1.68/1.90 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 1.68/1.90 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 1.68/1.90 Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% 1.68/1.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 1.68/1.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 1.68/1.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 1.68/1.90 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 1.68/1.90 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 1.68/1.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 1.68/1.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 1.68/1.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 1.68/1.90 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 1.68/1.90 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 1.68/1.90 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 1.68/1.90 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 1.68/1.90 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 1.68/1.90 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))):(((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) (fun (x0:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 1.68/1.90 Found (eta_expansion_dep00 (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b)
% 1.68/1.90 Found ((eta_expansion_dep0 (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b)
% 1.68/1.90 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b)
% 1.68/1.90 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b)
% 1.68/1.90 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b)
% 1.68/1.90 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0))
% 1.68/1.90 Found (eq_ref0 (f x0)) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 1.68/1.90 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 1.68/1.90 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 1.68/1.90 Found (fun (x0:fofType)=> ((eq_ref Prop) (f x0))) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 3.55/3.75 Found (fun (x0:fofType)=> ((eq_ref Prop) (f x0))) as proof of (forall (x0:fofType), (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 3.55/3.75 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0))
% 3.55/3.75 Found (eq_ref0 (f x0)) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 3.55/3.75 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 3.55/3.75 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 3.55/3.75 Found (fun (x0:fofType)=> ((eq_ref Prop) (f x0))) as proof of (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))
% 3.55/3.75 Found (fun (x0:fofType)=> ((eq_ref Prop) (f x0))) as proof of (forall (x0:fofType), (((eq Prop) (f x0)) (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 3.55/3.75 Found x0:(P (Xf x))
% 3.55/3.75 Instantiate: b:=(Xf x):fofType
% 3.55/3.75 Found x0 as proof of (P0 b)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 3.55/3.75 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 3.55/3.75 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 3.55/3.75 Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% 3.55/3.75 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 3.55/3.75 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 3.55/3.75 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 3.55/3.75 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found x0:(P x)
% 3.55/3.75 Instantiate: b:=x:fofType
% 3.55/3.75 Found x0 as proof of (P0 b)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 3.55/3.75 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 3.55/3.75 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 3.55/3.75 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 3.55/3.75 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 3.55/3.75 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 3.55/3.75 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 3.55/3.75 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 3.55/3.75 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 3.55/3.75 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 3.55/3.75 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 3.55/3.75 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 3.55/3.75 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 3.55/3.75 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 3.55/3.75 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 3.55/3.75 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 3.55/3.75 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 7.02/7.22 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 7.02/7.22 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found x01:(P b)
% 7.02/7.22 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 7.02/7.22 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 7.02/7.22 Found x02:(P x)
% 7.02/7.22 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 7.02/7.22 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 7.02/7.22 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 7.02/7.22 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 7.02/7.22 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 7.02/7.22 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 7.02/7.22 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 7.02/7.22 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 7.02/7.22 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 7.02/7.22 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 7.02/7.22 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 7.02/7.22 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 7.02/7.22 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 7.02/7.22 Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 7.02/7.22 Found x01:(P x)
% 7.02/7.22 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 7.02/7.22 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 7.02/7.22 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 7.02/7.22 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 7.02/7.22 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 7.02/7.22 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 7.02/7.22 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 7.02/7.22 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 7.02/7.22 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 7.02/7.22 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 9.16/9.38 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 9.16/9.38 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 9.16/9.38 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.16/9.38 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 9.16/9.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.16/9.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 9.16/9.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 9.16/9.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 9.16/9.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 9.16/9.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.16/9.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.16/9.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.16/9.38 Found x0:(P (Xf x))
% 9.16/9.38 Instantiate: b:=(Xf x):fofType
% 9.16/9.38 Found x0 as proof of (P0 b)
% 9.16/9.38 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 9.16/9.38 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 9.16/9.38 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (fofType->Prop)) a) (fun (x:fofType)=> (a x)))
% 9.16/9.38 Found (eta_expansion_dep00 a) as proof of (((eq (fofType->Prop)) a) b)
% 9.16/9.38 Found ((eta_expansion_dep0 (fun (x1:fofType)=> Prop)) a) as proof of (((eq (fofType->Prop)) a) b)
% 9.16/9.38 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) a) as proof of (((eq (fofType->Prop)) a) b)
% 9.16/9.38 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) a) as proof of (((eq (fofType->Prop)) a) b)
% 9.16/9.38 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) a) as proof of (((eq (fofType->Prop)) a) b)
% 9.16/9.38 Found eq_ref00:=(eq_ref0 b):(((eq (fofType->Prop)) b) b)
% 9.16/9.38 Found (eq_ref0 b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found eq_ref00:=(eq_ref0 b):(((eq (fofType->Prop)) b) b)
% 9.16/9.38 Found (eq_ref0 b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 9.16/9.38 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 9.16/9.38 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 9.16/9.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 9.16/9.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 9.16/9.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 12.51/12.72 Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 12.51/12.72 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found x0:(P x)
% 12.51/12.72 Instantiate: b:=x:fofType
% 12.51/12.72 Found x0 as proof of (P0 b)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 12.51/12.72 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.51/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.51/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.51/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 12.51/12.72 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.51/12.72 Found x0:(P (Xf x))
% 12.51/12.72 Instantiate: a:=(Xf x):fofType
% 12.51/12.72 Found x0 as proof of (P0 a)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 12.51/12.72 Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 12.51/12.72 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 12.51/12.72 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 12.51/12.72 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 12.51/12.72 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 12.51/12.72 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 12.51/12.72 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 12.51/12.72 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 12.55/12.72 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 12.55/12.72 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 12.55/12.72 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 12.55/12.72 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 12.55/12.72 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 12.55/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 12.55/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 12.55/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 12.55/12.72 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 12.55/12.72 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 12.55/12.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 12.55/12.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 12.55/12.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 12.55/12.72 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 12.55/12.72 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found x0:(P1 x)
% 12.55/12.72 Instantiate: b:=x:fofType
% 12.55/12.72 Found x0 as proof of (P2 b)
% 12.55/12.72 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 12.55/12.72 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.55/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.55/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.55/12.72 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 12.55/12.72 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 12.55/12.72 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 12.55/12.72 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.07/16.24 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 16.07/16.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 16.07/16.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.07/16.24 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.07/16.24 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 16.07/16.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.07/16.24 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 16.07/16.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 16.07/16.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 16.07/16.24 Found x01:(P b)
% 16.07/16.24 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 16.07/16.24 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 16.07/16.24 Found x01:(P b)
% 16.07/16.24 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 16.07/16.24 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 16.07/16.24 Found x000:(P1 x)
% 16.07/16.24 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 16.07/16.24 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 16.07/16.24 Found x0:(P b)
% 16.07/16.24 Instantiate: b0:=b:fofType
% 16.07/16.24 Found x0 as proof of (P0 b0)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 16.07/16.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 16.07/16.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 16.07/16.24 Found x0:(P x)
% 16.07/16.24 Instantiate: b:=x:fofType
% 16.07/16.24 Found x0 as proof of (P0 b)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 16.07/16.24 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 16.07/16.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 16.07/16.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 16.07/16.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 16.07/16.24 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 16.07/16.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 16.07/16.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 16.07/16.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 16.07/16.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 16.07/16.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 16.07/16.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 16.07/16.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 16.07/16.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 16.07/16.24 Found x02:(P x)
% 16.07/16.24 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 17.94/18.13 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 17.94/18.13 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 17.94/18.13 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found x0:(P x)
% 17.94/18.13 Instantiate: a:=x:fofType
% 17.94/18.13 Found x0 as proof of (P0 a)
% 17.94/18.13 Found x02:(P x)
% 17.94/18.13 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 17.94/18.13 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 17.94/18.13 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 17.94/18.13 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 17.94/18.13 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 17.94/18.13 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 17.94/18.13 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 17.94/18.13 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 17.94/18.13 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 17.94/18.13 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 17.94/18.13 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 17.94/18.13 Found x0:(P b)
% 17.94/18.13 Found x0 as proof of (P0 (Xf x))
% 17.94/18.13 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 17.94/18.13 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 17.94/18.13 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 17.94/18.13 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 17.94/18.13 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 17.94/18.13 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 17.94/18.13 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 17.94/18.13 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 17.94/18.13 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 17.94/18.13 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 17.94/18.13 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 22.23/22.41 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 22.23/22.41 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 22.23/22.41 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 22.23/22.41 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 22.23/22.41 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 22.23/22.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 22.23/22.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 22.23/22.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 22.23/22.41 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 22.23/22.41 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 22.23/22.41 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 22.23/22.41 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 22.23/22.41 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 22.23/22.41 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 22.23/22.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 22.23/22.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 22.23/22.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 22.23/22.41 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 22.23/22.41 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 22.23/22.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 22.23/22.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 22.23/22.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 22.23/22.41 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 22.23/22.41 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found x01:(P1 b)
% 22.23/22.41 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 22.23/22.41 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 22.23/22.41 Found x01:(P x)
% 22.23/22.41 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 22.23/22.41 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 22.23/22.41 Found x01:(P b)
% 22.23/22.41 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 22.23/22.41 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 22.23/22.41 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found x0:(P0 b0)
% 22.23/22.41 Instantiate: b0:=(Xf x):fofType
% 22.23/22.41 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 22.23/22.41 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 22.23/22.41 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 22.23/22.41 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 22.23/22.41 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 22.23/22.41 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found x0:(P0 b0)
% 26.27/26.50 Instantiate: b0:=(Xf x):fofType
% 26.27/26.50 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 26.27/26.50 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 26.27/26.50 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 26.27/26.50 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 26.27/26.50 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 26.27/26.50 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 26.27/26.50 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 26.27/26.50 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 26.27/26.50 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 26.27/26.50 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 26.27/26.50 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 26.27/26.50 Found x0:(P x)
% 26.27/26.50 Instantiate: b0:=x:fofType
% 26.27/26.50 Found x0 as proof of (P0 b0)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 26.27/26.50 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found x0:(P x)
% 26.27/26.50 Instantiate: b0:=x:fofType
% 26.27/26.50 Found x0 as proof of (P0 b0)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 26.27/26.50 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 26.27/26.50 Found x02:(P1 x)
% 26.27/26.50 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 26.27/26.50 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 26.27/26.50 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 26.27/26.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 26.27/26.50 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 26.27/26.50 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 26.27/26.50 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 26.27/26.50 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 26.27/26.50 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 26.27/26.50 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 26.27/26.50 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 26.27/26.50 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 26.27/26.50 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.27/26.50 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 30.38/30.60 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 30.38/30.60 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 30.38/30.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 30.38/30.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 30.38/30.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 30.38/30.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 30.38/30.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 30.38/30.60 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 30.38/30.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 30.38/30.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 30.38/30.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 30.38/30.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 30.38/30.60 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 30.38/30.60 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 30.38/30.60 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 30.38/30.60 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 30.38/30.60 Found x01:(P b0)
% 30.38/30.60 Found (fun (x01:(P b0))=> x01) as proof of (P b0)
% 30.38/30.60 Found (fun (x01:(P b0))=> x01) as proof of (P0 b0)
% 30.38/30.60 Found x0:(P x)
% 30.38/30.60 Found x0 as proof of (P0 x)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 30.38/30.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 30.38/30.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 30.38/30.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 30.38/30.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 30.38/30.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 30.38/30.60 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 30.38/30.60 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 30.38/30.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 33.05/33.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 33.05/33.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 33.05/33.30 Found x01:(P1 x)
% 33.05/33.30 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 33.05/33.30 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 33.05/33.30 Found x01:(P1 b)
% 33.05/33.30 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 33.05/33.30 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 33.05/33.30 Found x01:(P1 x)
% 33.05/33.30 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 33.05/33.30 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 33.05/33.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 33.05/33.30 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 33.05/33.30 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 33.05/33.30 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 33.05/33.30 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 33.05/33.30 Found x0:(P0 (Xf x))
% 33.05/33.30 Found (fun (x0:(P0 (Xf x)))=> x0) as proof of (P0 b)
% 33.05/33.30 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of ((P0 (Xf x))->(P0 b))
% 33.05/33.30 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of (P (Xf x))
% 33.05/33.30 Found x00:(P0 b)
% 33.05/33.30 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 33.05/33.30 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 33.05/33.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 33.05/33.30 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 33.05/33.30 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found x00:(P0 b)
% 33.05/33.30 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 33.05/33.30 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 33.05/33.30 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 33.05/33.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 33.05/33.30 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 33.05/33.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 33.05/33.30 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 33.05/33.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 33.05/33.30 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 33.05/33.30 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 33.05/33.30 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 36.77/36.97 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found x0:(P b)
% 36.77/36.97 Instantiate: b0:=b:fofType
% 36.77/36.97 Found x0 as proof of (P0 b0)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 36.77/36.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.77/36.97 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found x0:(P0 b0)
% 36.77/36.97 Instantiate: b0:=x:fofType
% 36.77/36.97 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 x)
% 36.77/36.97 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 x))
% 36.77/36.97 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 36.77/36.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found x0:(P0 b)
% 36.77/36.97 Instantiate: b0:=b:fofType
% 36.77/36.97 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b0)
% 36.77/36.97 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b0))
% 36.77/36.97 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b0)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 36.77/36.97 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 36.77/36.97 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 36.77/36.97 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 36.77/36.97 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 36.77/36.97 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 36.77/36.97 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 36.77/36.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.77/36.97 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 36.77/36.97 Found x01:(P x)
% 36.77/36.97 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 36.77/36.97 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 36.77/36.97 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 36.77/36.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 36.77/36.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 36.77/36.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 36.77/36.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 36.77/36.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 36.77/36.97 Found x02:(P x)
% 36.77/36.97 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 36.77/36.97 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 36.77/36.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 36.77/36.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 36.77/36.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.61/41.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 41.61/41.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.61/41.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 41.61/41.86 Found x01:(P x)
% 41.61/41.86 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 41.61/41.86 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 41.61/41.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 41.61/41.86 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 41.61/41.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 41.61/41.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 41.61/41.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 41.61/41.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 41.61/41.86 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 41.61/41.86 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.61/41.86 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.61/41.86 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.61/41.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 41.61/41.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 41.61/41.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 41.61/41.86 Found x0:(P0 x)
% 41.61/41.86 Found (fun (x0:(P0 x))=> x0) as proof of (P0 x)
% 41.61/41.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 x))
% 41.61/41.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P x)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 41.61/41.86 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 41.61/41.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 41.61/41.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 41.61/41.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 41.61/41.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 41.61/41.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.61/41.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 41.61/41.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 41.61/41.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 41.61/41.86 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 41.61/41.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.61/41.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.61/41.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.54/43.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 43.54/43.76 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 43.54/43.76 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 43.54/43.76 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 43.54/43.76 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.54/43.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.54/43.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.54/43.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.54/43.76 Found x00:(P b0)
% 43.54/43.76 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 43.54/43.76 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 43.54/43.76 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 43.54/43.76 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 43.54/43.76 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 43.54/43.76 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.54/43.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.54/43.76 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 43.54/43.76 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 47.42/47.63 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 47.42/47.63 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 47.42/47.63 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 47.42/47.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 47.42/47.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 47.42/47.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 47.42/47.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found x02:(P b)
% 47.42/47.63 Found (fun (x02:(P b))=> x02) as proof of (P b)
% 47.42/47.63 Found (fun (x02:(P b))=> x02) as proof of (P0 b)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 47.42/47.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 47.42/47.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 47.42/47.63 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 47.42/47.63 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 47.42/47.63 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 47.42/47.63 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 47.42/47.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 47.42/47.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 47.42/47.63 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 47.42/47.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 47.42/47.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 47.42/47.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 47.42/47.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 47.42/47.63 Found x0:(P (Xf x))
% 47.42/47.63 Instantiate: a:=(Xf x):fofType
% 47.42/47.63 Found x0 as proof of (P0 a)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 47.42/47.63 Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 47.42/47.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 47.42/47.63 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 47.42/47.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 47.42/47.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 47.42/47.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 47.42/47.63 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 47.42/47.63 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 47.42/47.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 47.42/47.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 52.88/53.11 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 52.88/53.11 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 52.88/53.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 52.88/53.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 52.88/53.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 52.88/53.11 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 52.88/53.11 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 52.88/53.11 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 52.88/53.11 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found x0:(P1 x)
% 52.88/53.11 Instantiate: b:=x:fofType
% 52.88/53.11 Found x0 as proof of (P2 b)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 52.88/53.11 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 52.88/53.11 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 52.88/53.11 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 52.88/53.11 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 52.88/53.11 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 52.88/53.11 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 52.88/53.11 Found x01:(P b)
% 52.88/53.11 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 52.88/53.11 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 52.88/53.11 Found x000:(P1 x)
% 52.88/53.11 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 52.88/53.11 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 52.88/53.11 Found x0:(P b)
% 52.88/53.11 Instantiate: b0:=b:fofType
% 52.88/53.11 Found x0 as proof of (P0 b0)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found x0:(P b)
% 52.88/53.11 Instantiate: b0:=b:fofType
% 52.88/53.11 Found x0 as proof of (P0 b0)
% 52.88/53.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 52.88/53.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 52.88/53.11 Found x0:(P x)
% 55.41/55.68 Instantiate: b:=x:fofType
% 55.41/55.68 Found x0 as proof of (P0 b)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 55.41/55.68 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 55.41/55.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 55.41/55.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 55.41/55.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 55.41/55.68 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 55.41/55.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 55.41/55.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 55.41/55.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 55.41/55.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 55.41/55.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 55.41/55.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 55.41/55.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 55.41/55.68 Found x0:(P x)
% 55.41/55.68 Instantiate: a:=x:fofType
% 55.41/55.68 Found x0 as proof of (P0 a)
% 55.41/55.68 Found x0:(P x)
% 55.41/55.68 Instantiate: a:=x:fofType
% 55.41/55.68 Found x0 as proof of (P0 a)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 55.41/55.68 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found x02:(P x)
% 55.41/55.68 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 55.41/55.68 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 55.41/55.68 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 55.41/55.68 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 55.41/55.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 55.41/55.68 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 55.41/55.68 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 55.41/55.68 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 55.41/55.68 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 55.41/55.68 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 55.41/55.68 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 55.41/55.68 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 55.41/55.68 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 55.41/55.68 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 55.41/55.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 59.60/59.89 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 59.60/59.89 Found x0:(P b)
% 59.60/59.89 Found x0 as proof of (P0 (Xf x))
% 59.60/59.89 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 59.60/59.89 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.60/59.89 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.60/59.89 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 59.60/59.89 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.60/59.89 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 59.60/59.89 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 59.60/59.89 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.60/59.89 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 59.60/59.89 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 59.60/59.89 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 59.60/59.89 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 59.60/59.89 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 59.60/59.89 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 59.60/59.89 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 59.60/59.89 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 59.60/59.89 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 59.60/59.89 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 59.60/59.89 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 59.60/59.89 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 66.07/66.32 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 66.07/66.32 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 66.07/66.32 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 66.07/66.32 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 66.07/66.32 Found x01:(P1 b)
% 66.07/66.32 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 66.07/66.32 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 66.07/66.32 Found x01:(P1 b)
% 66.07/66.32 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 66.07/66.32 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 66.07/66.32 Found x0:(P1 x)
% 66.07/66.32 Instantiate: b:=x:fofType
% 66.07/66.32 Found x0 as proof of (P2 b)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 66.07/66.32 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 66.07/66.32 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 66.07/66.32 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 66.07/66.32 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 66.07/66.32 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found x0:(P0 b0)
% 66.07/66.32 Instantiate: b0:=(Xf x):fofType
% 66.07/66.32 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 66.07/66.32 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 66.07/66.32 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 66.07/66.32 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found x0:(P0 b0)
% 66.07/66.32 Instantiate: b0:=(Xf x):fofType
% 66.07/66.32 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 66.07/66.32 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 66.07/66.32 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 66.07/66.32 Found x01:(P b)
% 66.07/66.32 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 66.07/66.32 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 66.07/66.32 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found x0:(P0 b0)
% 66.07/66.32 Instantiate: b0:=(Xf x):fofType
% 66.07/66.32 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 66.07/66.32 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 66.07/66.32 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 66.07/66.32 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 66.07/66.32 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 66.07/66.32 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 66.07/66.32 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 66.07/66.32 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 66.07/66.32 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 66.07/66.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 66.07/66.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 66.07/66.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 66.07/66.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 66.07/66.32 Found x0:(P x)
% 66.07/66.32 Instantiate: b0:=x:fofType
% 66.07/66.32 Found x0 as proof of (P0 b0)
% 66.07/66.32 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.50/70.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found x0:(P x)
% 70.50/70.76 Instantiate: b0:=x:fofType
% 70.50/70.76 Found x0 as proof of (P0 b0)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.50/70.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found x0:(P x)
% 70.50/70.76 Instantiate: b0:=x:fofType
% 70.50/70.76 Found x0 as proof of (P0 b0)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.50/70.76 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 70.50/70.76 Found x02:(P1 x)
% 70.50/70.76 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 70.50/70.76 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.50/70.76 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 70.50/70.76 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found x0:(P b)
% 70.50/70.76 Instantiate: b0:=b:fofType
% 70.50/70.76 Found x0 as proof of (P0 b0)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 70.50/70.76 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 70.50/70.76 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 70.50/70.76 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 70.50/70.76 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 70.50/70.76 Found x02:(P1 x)
% 70.50/70.76 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 70.50/70.76 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.50/70.76 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 70.50/70.76 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 70.50/70.76 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 70.50/70.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 70.50/70.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 70.50/70.76 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 70.50/70.76 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 70.50/70.76 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 70.50/70.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 70.50/70.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 70.50/70.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 70.50/70.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 70.50/70.76 Found x0:(P b)
% 70.50/70.76 Found x0 as proof of (P0 x)
% 70.50/70.76 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 70.50/70.76 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 70.50/70.76 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 73.84/74.12 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.84/74.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found x0:(P b)
% 73.84/74.12 Found x0 as proof of (P0 (Xf x))
% 73.84/74.12 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 73.84/74.12 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 73.84/74.12 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 73.84/74.12 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 73.84/74.12 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.84/74.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 73.84/74.12 Found x000:(P1 x)
% 73.84/74.12 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 73.84/74.12 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 73.84/74.12 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 73.84/74.12 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 73.84/74.12 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 73.84/74.12 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.84/74.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 73.84/74.12 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 73.84/74.12 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 73.84/74.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.84/74.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.84/74.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 73.84/74.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 76.30/76.58 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 76.30/76.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 76.30/76.58 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 76.30/76.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 76.30/76.58 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 76.30/76.58 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 76.30/76.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 76.30/76.58 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 76.30/76.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 76.30/76.58 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 76.30/76.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 76.30/76.58 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 76.30/76.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 76.30/76.58 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 76.30/76.58 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 76.30/76.58 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 76.30/76.58 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 83.14/83.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found x01:(P b0)
% 83.14/83.39 Found (fun (x01:(P b0))=> x01) as proof of (P b0)
% 83.14/83.39 Found (fun (x01:(P b0))=> x01) as proof of (P0 b0)
% 83.14/83.39 Found x01:(P b0)
% 83.14/83.39 Found (fun (x01:(P b0))=> x01) as proof of (P b0)
% 83.14/83.39 Found (fun (x01:(P b0))=> x01) as proof of (P0 b0)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 83.14/83.39 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 83.14/83.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found x0:(P x)
% 83.14/83.39 Found x0 as proof of (P0 x)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 83.14/83.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 83.14/83.39 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 83.14/83.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 83.14/83.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 83.14/83.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 83.14/83.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 83.14/83.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 83.14/83.39 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found x0:(P0 (Xf x))
% 83.14/83.39 Found (fun (x0:(P0 (Xf x)))=> x0) as proof of (P0 b)
% 83.14/83.39 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of ((P0 (Xf x))->(P0 b))
% 83.14/83.39 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of (P (Xf x))
% 83.14/83.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 83.14/83.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 83.14/83.39 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 83.14/83.39 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 83.14/83.39 Found x0:(P0 (Xf x))
% 83.14/83.39 Found (fun (x0:(P0 (Xf x)))=> x0) as proof of (P0 b)
% 87.35/87.60 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of ((P0 (Xf x))->(P0 b))
% 87.35/87.60 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of (P (Xf x))
% 87.35/87.60 Found x00:(P0 b)
% 87.35/87.60 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 87.35/87.60 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 87.35/87.60 Found x01:(P1 b)
% 87.35/87.60 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 87.35/87.60 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 87.35/87.60 Found x01:(P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 87.35/87.60 Found x01:(P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 87.35/87.60 Found x01:(P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 87.35/87.60 Found x01:(P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 87.35/87.60 Found x01:(P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 87.35/87.60 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 87.35/87.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 87.35/87.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 87.35/87.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found x00:(P0 b)
% 87.35/87.60 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 87.35/87.60 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 87.35/87.60 Found x00:(P0 b)
% 87.35/87.60 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 87.35/87.60 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 87.35/87.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 87.35/87.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 87.35/87.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 87.35/87.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 87.35/87.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 87.35/87.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 87.35/87.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 87.35/87.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 87.35/87.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 87.35/87.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 90.75/91.06 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 90.75/91.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 90.75/91.06 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 90.75/91.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 90.75/91.06 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 90.75/91.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 90.75/91.06 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 90.75/91.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 90.75/91.06 Found x00:(P0 b)
% 90.75/91.06 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 90.75/91.06 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 90.75/91.06 Found x0:(P b)
% 90.75/91.06 Instantiate: b0:=b:fofType
% 90.75/91.06 Found x0 as proof of (P0 b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 90.75/91.06 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found x0:(P (Xf x))
% 90.75/91.06 Instantiate: b0:=(Xf x):fofType
% 90.75/91.06 Found x0 as proof of (P0 b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 90.75/91.06 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 90.75/91.06 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 90.75/91.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 90.75/91.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 90.75/91.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 90.75/91.06 Found x0:(P0 b0)
% 90.75/91.06 Instantiate: b0:=x:fofType
% 90.75/91.06 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 x)
% 90.75/91.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 x))
% 90.75/91.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 90.75/91.06 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 90.75/91.06 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 90.75/91.06 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 90.75/91.06 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 90.75/91.06 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 90.75/91.06 Found x0:(P0 b0)
% 90.75/91.06 Instantiate: b0:=x:fofType
% 96.88/97.14 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 96.88/97.14 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 96.88/97.14 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 96.88/97.14 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found x0:(P0 b)
% 96.88/97.14 Instantiate: b0:=b:fofType
% 96.88/97.14 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b0)
% 96.88/97.14 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b0))
% 96.88/97.14 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 96.88/97.14 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 96.88/97.14 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 96.88/97.14 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 96.88/97.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 96.88/97.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 96.88/97.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 96.88/97.14 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 96.88/97.14 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 96.88/97.14 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 96.88/97.14 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 96.88/97.14 Found x01:(P x)
% 96.88/97.14 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 96.88/97.14 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 96.88/97.14 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 96.88/97.14 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 96.88/97.14 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 96.88/97.14 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 96.88/97.14 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 96.88/97.14 Found x01:(P b)
% 96.88/97.14 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 96.88/97.14 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 96.88/97.14 Found x01:(P b0)
% 96.88/97.14 Found (fun (x01:(P b0))=> x01) as proof of (P b0)
% 96.88/97.14 Found (fun (x01:(P b0))=> x01) as proof of (P0 b0)
% 96.88/97.14 Found x0:(P x)
% 96.88/97.14 Instantiate: b0:=x:fofType
% 96.88/97.14 Found x0 as proof of (P0 b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 96.88/97.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found x0:(P x)
% 96.88/97.14 Instantiate: b0:=x:fofType
% 96.88/97.14 Found x0 as proof of (P0 b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 96.88/97.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 96.88/97.14 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 96.88/97.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 96.88/97.14 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 96.88/97.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 96.88/97.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found x02:(P x)
% 106.11/106.39 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 106.11/106.39 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.11/106.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.11/106.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found x02:(P x)
% 106.11/106.39 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 106.11/106.39 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.11/106.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.11/106.39 Found x0:(P x)
% 106.11/106.39 Found x0 as proof of (P0 x)
% 106.11/106.39 Found x0:(P b)
% 106.11/106.39 Instantiate: b0:=b:fofType
% 106.11/106.39 Found x0 as proof of (P0 b0)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.11/106.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found x0:(P0 x)
% 106.11/106.39 Found (fun (x0:(P0 x))=> x0) as proof of (P0 b)
% 106.11/106.39 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 b))
% 106.11/106.39 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P x)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.11/106.39 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 106.11/106.39 Found x01:(P x)
% 106.11/106.39 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 106.11/106.39 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 106.11/106.39 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 106.11/106.39 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 106.11/106.39 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 107.71/107.98 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 107.71/107.98 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 107.71/107.98 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 107.71/107.98 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 107.71/107.98 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 107.71/107.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 107.71/107.98 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 107.71/107.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 107.71/107.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 107.71/107.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 107.71/107.98 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 107.71/107.98 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 107.71/107.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 107.71/107.98 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 107.71/107.98 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 107.71/107.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 107.71/107.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 107.71/107.98 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 107.71/107.98 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 107.71/107.98 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 107.71/107.98 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 107.71/107.98 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 107.71/107.98 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 107.71/107.98 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found x1:(P2 b0)
% 114.73/115.00 Instantiate: b0:=(Xf x):fofType
% 114.73/115.00 Found (fun (x1:(P2 b0))=> x1) as proof of (P2 b)
% 114.73/115.00 Found (fun (P2:(fofType->Prop)) (x1:(P2 b0))=> x1) as proof of ((P2 b0)->(P2 b))
% 114.73/115.00 Found (fun (P2:(fofType->Prop)) (x1:(P2 b0))=> x1) as proof of (P1 b0)
% 114.73/115.00 Found x00:(P1 x)
% 114.73/115.00 Instantiate: b0:=x:fofType
% 114.73/115.00 Found x00 as proof of (P2 b0)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 114.73/115.00 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 114.73/115.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 114.73/115.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 114.73/115.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 114.73/115.00 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 114.73/115.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 114.73/115.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 114.73/115.00 Found x0:(P0 x)
% 114.73/115.00 Found (fun (x0:(P0 x))=> x0) as proof of (P0 x)
% 114.73/115.00 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 x))
% 114.73/115.00 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P x)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 b):(((eq (fofType->Prop)) b) b)
% 114.73/115.00 Found (eq_ref0 b) as proof of (((eq (fofType->Prop)) b) b0)
% 114.73/115.00 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% 114.73/115.00 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% 114.73/115.00 Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 114.73/115.00 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 114.73/115.00 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 114.73/115.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 114.73/115.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 114.73/115.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 114.73/115.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 114.73/115.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 114.73/115.00 Found x01:(P1 x)
% 114.73/115.00 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 114.73/115.00 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 114.73/115.00 Found x01:(P1 x)
% 114.73/115.00 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 114.73/115.00 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 114.73/115.00 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 114.73/115.00 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 114.73/115.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 114.73/115.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 115.69/115.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found x01:(P1 b)
% 115.69/115.95 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 115.69/115.95 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 115.69/115.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 115.69/115.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 115.69/115.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 115.69/115.95 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 115.69/115.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 115.69/115.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 115.69/115.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 115.69/115.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 115.69/115.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 115.69/115.95 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 115.69/115.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.69/115.95 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 115.69/115.95 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 115.69/115.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 118.66/118.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 118.66/118.95 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 118.66/118.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 118.66/118.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 118.66/118.95 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 118.66/118.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 118.66/118.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 118.66/118.95 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 118.66/118.95 Found x00:(P b0)
% 118.66/118.95 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 118.66/118.95 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 118.66/118.95 Found x00:(P b0)
% 118.66/118.95 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 118.66/118.95 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 118.66/118.95 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 118.66/118.95 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 118.66/118.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 118.66/118.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 120.92/121.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 120.92/121.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 120.92/121.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 120.92/121.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found x0:(P b)
% 120.92/121.24 Instantiate: b0:=b:fofType
% 120.92/121.24 Found x0 as proof of (P0 b0)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 120.92/121.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 120.92/121.24 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 120.92/121.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 120.92/121.24 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 120.92/121.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq Prop) (f0 x0)) (f0 x0))
% 120.92/121.24 Found (eq_ref0 (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f x)))
% 120.92/121.24 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq Prop) (f0 x0)) (f0 x0))
% 120.92/121.24 Found (eq_ref0 (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (((eq Prop) (f0 x0)) (f x0))
% 120.92/121.24 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f x)))
% 120.92/121.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 120.92/121.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 120.92/121.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 122.28/122.60 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 122.28/122.60 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 122.28/122.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 122.28/122.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 122.28/122.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 122.28/122.60 Found x0:(P0 b0)
% 122.28/122.60 Instantiate: b0:=x:fofType
% 122.28/122.60 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 x)
% 122.28/122.60 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 x))
% 122.28/122.60 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 122.28/122.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 122.28/122.60 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 122.28/122.60 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 122.28/122.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 122.28/122.60 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 122.28/122.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 122.28/122.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 122.28/122.60 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 122.28/122.60 Found x0:(P0 b)
% 122.28/122.60 Instantiate: b0:=b:fofType
% 122.28/122.60 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b0)
% 122.28/122.60 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b0))
% 122.28/122.60 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b0)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq Prop) (f0 x0)) (f0 x0))
% 122.28/122.60 Found (eq_ref0 (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f x)))
% 122.28/122.60 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq Prop) (f0 x0)) (f0 x0))
% 122.28/122.60 Found (eq_ref0 (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found ((eq_ref Prop) (f0 x0)) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (((eq Prop) (f0 x0)) (f x0))
% 122.28/122.60 Found (fun (x0:fofType)=> ((eq_ref Prop) (f0 x0))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f x)))
% 122.28/122.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 122.28/122.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 122.28/122.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 122.28/122.60 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 122.28/122.60 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 126.10/126.38 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 126.10/126.38 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 126.10/126.38 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.10/126.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 126.10/126.38 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.10/126.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 126.10/126.38 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.10/126.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 126.10/126.38 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.10/126.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 126.10/126.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.10/126.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 126.10/126.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.10/126.38 Found x0:(P1 b)
% 126.10/126.38 Instantiate: b0:=b:fofType
% 126.10/126.38 Found x0 as proof of (P2 b0)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 126.10/126.38 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 126.10/126.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 126.10/126.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 126.10/126.38 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 126.10/126.38 Found x02:(P (Xf x))
% 126.10/126.38 Found (fun (x02:(P (Xf x)))=> x02) as proof of (P (Xf x))
% 126.10/126.38 Found (fun (x02:(P (Xf x)))=> x02) as proof of (P0 (Xf x))
% 126.10/126.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.10/126.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.10/126.38 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 130.50/130.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 130.50/130.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 130.50/130.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 130.50/130.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 130.50/130.82 Found x02:(P b)
% 130.50/130.82 Found (fun (x02:(P b))=> x02) as proof of (P b)
% 130.50/130.82 Found (fun (x02:(P b))=> x02) as proof of (P0 b)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 130.50/130.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 130.50/130.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 130.50/130.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 130.50/130.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 130.50/130.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 130.50/130.82 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 130.50/130.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 130.50/130.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 130.50/130.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 130.50/130.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 130.50/130.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 130.50/130.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 130.50/130.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 130.50/130.82 Found x00:(P1 b)
% 130.50/130.82 Instantiate: b0:=b:fofType
% 130.50/130.82 Found x00 as proof of (P2 b0)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 130.50/130.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found x02:(P x)
% 130.50/130.82 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 130.50/130.82 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 130.50/130.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 130.50/130.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 130.50/130.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 130.50/130.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 130.50/130.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 130.50/130.82 Found x00:(P1 (Xf x))
% 130.50/130.82 Instantiate: b0:=(Xf x):fofType
% 130.50/130.82 Found x00 as proof of (P2 b0)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 130.50/130.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found x0:(P1 x)
% 130.50/130.82 Instantiate: a:=x:fofType
% 130.50/130.82 Found x0 as proof of (P2 a)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 130.50/130.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 130.50/130.82 Found x00:(P2 b0)
% 130.50/130.82 Instantiate: b0:=x:fofType
% 130.50/130.82 Found (fun (x00:(P2 b0))=> x00) as proof of (P2 x)
% 130.50/130.82 Found (fun (P2:(fofType->Prop)) (x00:(P2 b0))=> x00) as proof of ((P2 b0)->(P2 x))
% 130.50/130.82 Found (fun (P2:(fofType->Prop)) (x00:(P2 b0))=> x00) as proof of (P1 b0)
% 130.50/130.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 130.50/130.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 130.50/130.82 Found x1:(P2 b)
% 130.50/130.82 Instantiate: b0:=b:fofType
% 130.50/130.82 Found (fun (x1:(P2 b))=> x1) as proof of (P2 b0)
% 130.50/130.82 Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 b0))
% 130.50/130.82 Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b0)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 132.51/132.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found x1:(P2 b0)
% 132.51/132.82 Instantiate: b0:=x:fofType
% 132.51/132.82 Found (fun (x1:(P2 b0))=> x1) as proof of (P2 b)
% 132.51/132.82 Found (fun (P2:(fofType->Prop)) (x1:(P2 b0))=> x1) as proof of ((P2 b0)->(P2 b))
% 132.51/132.82 Found (fun (P2:(fofType->Prop)) (x1:(P2 b0))=> x1) as proof of (P1 b0)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 132.51/132.82 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 132.51/132.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 132.51/132.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 132.51/132.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 132.51/132.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 132.51/132.82 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 132.51/132.82 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 132.51/132.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 132.51/132.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 132.51/132.82 Found x0:(P1 b)
% 132.51/132.82 Found x0 as proof of (P2 (Xf x))
% 132.51/132.82 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 132.51/132.82 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 132.51/132.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 132.51/132.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 132.51/132.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 132.51/132.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 132.51/132.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 132.51/132.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found x0:(P b)
% 132.51/132.82 Instantiate: a:=b:fofType
% 132.51/132.82 Found x0 as proof of (P0 a)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 132.51/132.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 132.51/132.82 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 132.51/132.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 132.51/132.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 138.20/138.56 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 138.20/138.56 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 138.20/138.56 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 138.20/138.56 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 138.20/138.56 Found x10:(P1 a)
% 138.20/138.56 Found (fun (x10:(P1 a))=> x10) as proof of (P1 a)
% 138.20/138.56 Found (fun (x10:(P1 a))=> x10) as proof of (P2 a)
% 138.20/138.56 Found x01:(P x)
% 138.20/138.56 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 138.20/138.56 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 138.20/138.56 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 138.20/138.56 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 138.20/138.56 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 138.20/138.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 138.20/138.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 138.20/138.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 138.20/138.56 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 138.20/138.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 138.20/138.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 138.20/138.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 138.20/138.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 138.20/138.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 138.20/138.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 138.20/138.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 138.20/138.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 138.20/138.56 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 138.20/138.56 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 138.20/138.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 138.20/138.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 138.20/138.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 138.20/138.56 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 138.20/138.56 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 138.20/138.56 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 138.20/138.56 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 138.20/138.56 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 138.20/138.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 138.20/138.56 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 138.20/138.56 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 138.20/138.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 138.20/138.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 138.20/138.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 138.20/138.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 138.20/138.56 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 138.20/138.56 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 141.19/141.52 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 141.19/141.52 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found x0:(P0 x)
% 141.19/141.52 Found (fun (x0:(P0 x))=> x0) as proof of (P0 x)
% 141.19/141.52 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 x))
% 141.19/141.52 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P x)
% 141.19/141.52 Found x0:(P b0)
% 141.19/141.52 Instantiate: b1:=b0:fofType
% 141.19/141.52 Found x0 as proof of (P0 b1)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 141.19/141.52 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 141.19/141.52 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 141.19/141.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 141.19/141.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 141.19/141.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 141.19/141.52 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 141.19/141.52 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 141.19/141.52 Found x000:(P1 x)
% 141.19/141.52 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 141.19/141.52 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.19/141.52 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 141.19/141.52 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.19/141.52 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 141.19/141.52 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.19/141.52 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 141.19/141.52 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.19/141.52 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 141.19/141.52 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 141.19/141.52 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 141.19/141.52 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 141.19/141.52 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 141.19/141.52 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.35/142.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.35/142.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.35/142.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.35/142.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 142.35/142.68 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 142.35/142.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 142.35/142.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 142.35/142.68 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.35/142.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 142.35/142.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 142.35/142.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.35/142.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 142.35/142.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.93/145.23 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 144.93/145.23 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.93/145.23 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 144.93/145.23 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 144.93/145.23 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found x0:(P2 b0)
% 144.93/145.23 Instantiate: b0:=(Xf x):fofType
% 144.93/145.23 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 144.93/145.23 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found x0:(P2 b0)
% 144.93/145.23 Instantiate: b0:=(Xf x):fofType
% 144.93/145.23 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 144.93/145.23 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found x0:(P2 b0)
% 144.93/145.23 Instantiate: b0:=(Xf x):fofType
% 144.93/145.23 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 144.93/145.23 Found x00:(P b0)
% 144.93/145.23 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 144.93/145.23 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 144.93/145.23 Found x00:(P b0)
% 144.93/145.23 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 144.93/145.23 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 144.93/145.23 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found x0:(P2 b0)
% 144.93/145.23 Instantiate: b0:=(Xf x):fofType
% 144.93/145.23 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 144.93/145.23 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 144.93/145.23 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 144.93/145.23 Found x0:(P2 b0)
% 144.93/145.23 Instantiate: b0:=(Xf x):fofType
% 144.93/145.23 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 144.93/145.23 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 148.54/148.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 148.54/148.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 148.54/148.88 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 148.54/148.88 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 148.54/148.88 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 148.54/148.88 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 148.54/148.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 148.54/148.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 148.54/148.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 148.54/148.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 148.54/148.88 Found x0:(P0 b)
% 148.54/148.88 Instantiate: b0:=b:fofType
% 148.54/148.88 Found x0 as proof of (P1 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 148.54/148.88 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 148.54/148.88 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 148.54/148.88 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 148.54/148.88 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 148.54/148.88 Found x0:(P b0)
% 148.54/148.88 Found x0 as proof of (P0 (Xf x))
% 148.54/148.88 Found x0:(P1 x)
% 148.54/148.88 Instantiate: b0:=x:fofType
% 148.54/148.88 Found x0 as proof of (P2 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.54/148.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found x0:(P1 x)
% 148.54/148.88 Instantiate: b0:=x:fofType
% 148.54/148.88 Found x0 as proof of (P2 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.54/148.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found x0:(P1 x)
% 148.54/148.88 Instantiate: b0:=x:fofType
% 148.54/148.88 Found x0 as proof of (P2 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.54/148.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found x0:(P1 x)
% 148.54/148.88 Instantiate: b0:=x:fofType
% 148.54/148.88 Found x0 as proof of (P2 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.54/148.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found x0:(P1 x)
% 148.54/148.88 Instantiate: b0:=x:fofType
% 148.54/148.88 Found x0 as proof of (P2 b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.54/148.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 148.54/148.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 148.54/148.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 148.54/148.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 148.54/148.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 148.54/148.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 148.54/148.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 148.54/148.88 Found x0:(P1 b)
% 148.54/148.88 Instantiate: b0:=b:fofType
% 148.54/148.88 Found x0 as proof of (P2 b0)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 154.05/154.42 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 154.05/154.42 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 154.05/154.42 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 154.05/154.42 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 154.05/154.42 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 154.05/154.42 Found x0:(P0 b)
% 154.05/154.42 Instantiate: b0:=b:fofType
% 154.05/154.42 Found x0 as proof of (P1 b0)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 154.05/154.42 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 154.05/154.42 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 154.05/154.42 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 154.05/154.42 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 154.05/154.42 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 154.05/154.42 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 154.05/154.42 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 154.05/154.42 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 154.05/154.42 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 154.05/154.42 Found x0:(P1 b)
% 154.05/154.42 Found x0 as proof of (P2 x)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 154.05/154.42 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 154.05/154.42 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 154.05/154.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 154.05/154.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 154.05/154.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 154.05/154.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 154.05/154.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 154.05/154.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 154.05/154.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 154.05/154.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 154.05/154.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 154.05/154.42 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.05/154.42 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 154.05/154.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 154.05/154.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 154.05/154.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 157.97/158.28 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 157.97/158.28 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 157.97/158.28 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 157.97/158.28 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found x02:(P b)
% 157.97/158.28 Found (fun (x02:(P b))=> x02) as proof of (P b)
% 157.97/158.28 Found (fun (x02:(P b))=> x02) as proof of (P0 b)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 157.97/158.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 157.97/158.28 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found x02:(P b)
% 157.97/158.28 Found (fun (x02:(P b))=> x02) as proof of (P b)
% 157.97/158.28 Found (fun (x02:(P b))=> x02) as proof of (P0 b)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 157.97/158.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 157.97/158.28 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 157.97/158.28 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 157.97/158.28 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 157.97/158.28 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 157.97/158.28 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 157.97/158.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 157.97/158.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 157.97/158.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 159.92/160.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 159.92/160.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 159.92/160.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 159.92/160.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 159.92/160.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 159.92/160.24 Found x10:(P1 a)
% 159.92/160.24 Found (fun (x10:(P1 a))=> x10) as proof of (P1 a)
% 159.92/160.24 Found (fun (x10:(P1 a))=> x10) as proof of (P2 a)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 159.92/160.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 159.92/160.24 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 159.92/160.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 159.92/160.24 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 159.92/160.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 159.92/160.24 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 159.92/160.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 159.92/160.24 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 159.92/160.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 159.92/160.24 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 159.92/160.24 Found x01:(P1 b0)
% 159.92/160.24 Found (fun (x01:(P1 b0))=> x01) as proof of (P1 b0)
% 159.92/160.24 Found (fun (x01:(P1 b0))=> x01) as proof of (P2 b0)
% 159.92/160.24 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 159.92/160.24 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 159.92/160.24 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 159.92/160.24 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 159.92/160.24 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 159.92/160.24 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 163.08/163.43 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 163.08/163.43 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 163.08/163.43 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))):(((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) (fun (x0:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x))))
% 163.08/163.43 Found (eta_expansion_dep00 (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b0)
% 163.08/163.43 Found ((eta_expansion_dep0 (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b0)
% 163.08/163.43 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b0)
% 163.08/163.43 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b0)
% 163.08/163.43 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) as proof of (((eq (fofType->Prop)) (fun (Xy:fofType)=> (forall (Xf:(fofType->fofType)), (((eq fofType) (Xf x)) x)))) b0)
% 163.08/163.43 Found x0:(P x)
% 163.08/163.43 Instantiate: a:=x:fofType
% 163.08/163.43 Found x0 as proof of (P0 a)
% 163.08/163.43 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 163.08/163.43 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 163.08/163.43 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 163.08/163.43 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found x0:(P x)
% 163.08/163.43 Instantiate: a:=x:fofType
% 163.08/163.43 Found x0 as proof of (P0 a)
% 163.08/163.43 Found x0:(P1 x)
% 163.08/163.43 Found x0 as proof of (P2 x)
% 163.08/163.43 Found x0:(P1 x)
% 163.08/163.43 Found x0 as proof of (P2 x)
% 163.08/163.43 Found x000:(P1 x)
% 163.08/163.43 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 163.08/163.43 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 163.08/163.43 Found x000:(P1 x)
% 163.08/163.43 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 163.08/163.43 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 163.08/163.43 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 163.08/163.43 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 163.08/163.43 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 163.08/163.43 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 163.08/163.43 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 163.08/163.43 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 163.08/163.43 Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 163.08/163.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 163.08/163.43 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 163.08/163.43 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 163.08/163.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 167.02/167.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 167.02/167.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 167.02/167.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 167.02/167.33 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 167.02/167.33 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 167.02/167.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 167.02/167.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 167.02/167.33 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 167.02/167.33 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 167.02/167.33 Found x000:(P1 b0)
% 167.02/167.33 Found (fun (x000:(P1 b0))=> x000) as proof of (P1 b0)
% 167.02/167.33 Found (fun (x000:(P1 b0))=> x000) as proof of (P2 b0)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 167.02/167.33 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 167.02/167.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 167.02/167.33 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 167.02/167.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 167.02/167.33 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 167.02/167.33 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 167.02/167.33 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 167.02/167.33 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 167.02/167.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 167.02/167.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 167.02/167.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 167.02/167.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 167.02/167.33 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 169.50/169.82 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 169.50/169.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 169.50/169.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 169.50/169.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.50/169.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 169.50/169.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 169.50/169.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 169.50/169.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 169.50/169.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 169.50/169.82 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 169.50/169.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 169.50/169.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 169.50/169.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 169.50/169.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found x0:(P0 b1)
% 169.50/169.82 Instantiate: b1:=(Xf x):fofType
% 169.50/169.82 Found (fun (x0:(P0 b1))=> x0) as proof of (P0 b0)
% 169.50/169.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of ((P0 b1)->(P0 b0))
% 169.50/169.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of (P b1)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 169.50/169.82 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 169.50/169.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 169.50/169.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 169.50/169.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 169.50/169.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 169.50/169.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 169.50/169.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 169.50/169.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 169.50/169.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 169.50/169.82 Found x0:(P0 b1)
% 169.50/169.82 Instantiate: b1:=(Xf x):fofType
% 169.50/169.82 Found (fun (x0:(P0 b1))=> x0) as proof of (P0 b0)
% 169.50/169.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of ((P0 b1)->(P0 b0))
% 169.50/169.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of (P b1)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 169.50/169.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 169.50/169.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 169.50/169.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 169.50/169.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 169.50/169.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 169.50/169.82 Found x0:(P2 (Xf x))
% 169.50/169.82 Found (fun (x0:(P2 (Xf x)))=> x0) as proof of (P2 b)
% 169.50/169.82 Found (fun (P2:(fofType->Prop)) (x0:(P2 (Xf x)))=> x0) as proof of ((P2 (Xf x))->(P2 b))
% 169.50/169.82 Found (fun (P2:(fofType->Prop)) (x0:(P2 (Xf x)))=> x0) as proof of (P1 (Xf x))
% 169.50/169.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 169.50/169.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 169.50/169.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 169.50/169.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found x0:(P2 (Xf x))
% 172.83/173.19 Found (fun (x0:(P2 (Xf x)))=> x0) as proof of (P2 b)
% 172.83/173.19 Found (fun (P2:(fofType->Prop)) (x0:(P2 (Xf x)))=> x0) as proof of ((P2 (Xf x))->(P2 b))
% 172.83/173.19 Found (fun (P2:(fofType->Prop)) (x0:(P2 (Xf x)))=> x0) as proof of (P1 (Xf x))
% 172.83/173.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.83/173.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 172.83/173.19 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 172.83/173.19 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 172.83/173.19 Found x0:(P2 (Xf x))
% 172.83/173.19 Found (fun (x0:(P2 (Xf x)))=> x0) as proof of (P2 b)
% 172.83/173.19 Found (fun (P2:(fofType->Prop)) (x0:(P2 (Xf x)))=> x0) as proof of ((P2 (Xf x))->(P2 b))
% 172.83/173.19 Found (fun (P2:(fofType->Prop)) (x0:(P2 (Xf x)))=> x0) as proof of (P1 (Xf x))
% 172.83/173.19 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 172.83/173.19 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b2)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b2)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b2)
% 172.83/173.19 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b2)
% 172.83/173.19 Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% 172.83/173.19 Found (eq_ref0 b2) as proof of (((eq fofType) b2) x)
% 172.83/173.19 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) x)
% 172.83/173.19 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) x)
% 172.83/173.19 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) x)
% 172.83/173.19 Found x00:(P2 b)
% 172.83/173.19 Found (fun (x00:(P2 b))=> x00) as proof of (P2 b)
% 172.83/173.19 Found (fun (x00:(P2 b))=> x00) as proof of (P3 b)
% 172.83/173.19 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 172.83/173.19 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.83/173.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.83/173.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 172.83/173.19 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 172.83/173.19 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 172.83/173.19 Found x01:(P3 x)
% 172.83/173.19 Found (fun (x01:(P3 x))=> x01) as proof of (P3 x)
% 172.83/173.19 Found (fun (x01:(P3 x))=> x01) as proof of (P4 x)
% 172.83/173.19 Found x01:(P3 b)
% 172.83/173.19 Found (fun (x01:(P3 b))=> x01) as proof of (P3 b)
% 172.83/173.19 Found (fun (x01:(P3 b))=> x01) as proof of (P4 b)
% 172.83/173.19 Found x00:(P2 b)
% 172.83/173.19 Found (fun (x00:(P2 b))=> x00) as proof of (P2 b)
% 172.83/173.19 Found (fun (x00:(P2 b))=> x00) as proof of (P3 b)
% 172.83/173.19 Found x0:(P x)
% 172.83/173.19 Instantiate: b1:=x:fofType
% 172.83/173.19 Found x0 as proof of (P0 b1)
% 172.83/173.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.83/173.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 172.83/173.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 172.83/173.19 Found x0:(P x)
% 172.83/173.19 Instantiate: b1:=x:fofType
% 172.83/173.19 Found x0 as proof of (P0 b1)
% 172.83/173.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 175.62/175.93 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 175.62/175.93 Found x000:(P1 b0)
% 175.62/175.93 Found (fun (x000:(P1 b0))=> x000) as proof of (P1 b0)
% 175.62/175.93 Found (fun (x000:(P1 b0))=> x000) as proof of (P2 b0)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 175.62/175.93 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 175.62/175.93 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 175.62/175.93 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 175.62/175.93 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 175.62/175.93 Found x000:(P1 b)
% 175.62/175.93 Found (fun (x000:(P1 b))=> x000) as proof of (P1 b)
% 175.62/175.93 Found (fun (x000:(P1 b))=> x000) as proof of (P2 b)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 175.62/175.93 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 175.62/175.93 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 175.62/175.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 175.62/175.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 175.62/175.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 175.62/175.93 Found x000:(P1 (Xf x))
% 175.62/175.93 Found (fun (x000:(P1 (Xf x)))=> x000) as proof of (P1 (Xf x))
% 175.62/175.93 Found (fun (x000:(P1 (Xf x)))=> x000) as proof of (P2 (Xf x))
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 175.62/175.93 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 175.62/175.93 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 175.62/175.93 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 175.62/175.93 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 175.62/175.93 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 175.62/175.93 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 175.62/175.93 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 175.62/175.93 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 175.62/175.93 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 175.62/175.93 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 175.62/175.93 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 177.87/178.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 177.87/178.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 177.87/178.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 177.87/178.21 Found x0:(P1 b)
% 177.87/178.21 Instantiate: b0:=b:fofType
% 177.87/178.21 Found x0 as proof of (P2 b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found x0:(P1 b)
% 177.87/178.21 Instantiate: b0:=b:fofType
% 177.87/178.21 Found x0 as proof of (P2 b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found x0:(P1 (Xf x))
% 177.87/178.21 Instantiate: b0:=(Xf x):fofType
% 177.87/178.21 Found x0 as proof of (P2 b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found x0:(P1 b)
% 177.87/178.21 Instantiate: b0:=b:fofType
% 177.87/178.21 Found x0 as proof of (P2 b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found x0:(P1 b)
% 177.87/178.21 Instantiate: b0:=b:fofType
% 177.87/178.21 Found x0 as proof of (P2 b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 177.87/178.21 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 177.87/178.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 177.87/178.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 177.87/178.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 177.87/178.21 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 177.87/178.21 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 177.87/178.21 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 181.08/181.40 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 181.08/181.40 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 181.08/181.40 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 181.08/181.40 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 181.08/181.40 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found x0:(P b)
% 181.08/181.40 Instantiate: b0:=b:fofType
% 181.08/181.40 Found x0 as proof of (P0 b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 181.08/181.40 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 181.08/181.40 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 181.08/181.40 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 181.08/181.40 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 181.08/181.40 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 181.08/181.40 Found x0:(P1 b0)
% 181.08/181.40 Instantiate: b:=b0:fofType
% 181.08/181.40 Found (fun (x0:(P1 b0))=> x0) as proof of (P1 b)
% 181.08/181.40 Found (fun (P1:(fofType->Prop)) (x0:(P1 b0))=> x0) as proof of ((P1 b0)->(P1 b))
% 181.08/181.40 Found (fun (P1:(fofType->Prop)) (x0:(P1 b0))=> x0) as proof of (P0 b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 181.08/181.40 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 181.08/181.40 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 181.08/181.40 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 181.08/181.40 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 181.08/181.40 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 181.08/181.40 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 181.08/181.40 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 181.08/181.40 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 181.08/181.40 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 181.08/181.40 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 181.08/181.40 Found x0:(P2 b0)
% 181.08/181.40 Instantiate: b0:=x:fofType
% 181.08/181.40 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 181.08/181.40 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 181.08/181.40 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 181.08/181.40 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found x0:(P2 b0)
% 181.08/181.40 Instantiate: b0:=x:fofType
% 181.08/181.40 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 x)
% 181.08/181.40 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 x))
% 181.08/181.40 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 181.08/181.40 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found x0:(P2 b0)
% 181.08/181.40 Instantiate: b0:=x:fofType
% 181.08/181.40 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 x)
% 181.08/181.40 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 x))
% 181.08/181.40 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 181.08/181.40 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 181.08/181.40 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 181.08/181.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 182.79/183.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 182.79/183.16 Found x0:(P2 b0)
% 182.79/183.16 Instantiate: b0:=x:fofType
% 182.79/183.16 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 x)
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 x))
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 182.79/183.16 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 182.79/183.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 182.79/183.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 182.79/183.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 182.79/183.16 Found x0:(P2 b0)
% 182.79/183.16 Instantiate: b0:=x:fofType
% 182.79/183.16 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 x)
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 x))
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 182.79/183.16 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found x0:(P2 b)
% 182.79/183.16 Instantiate: b0:=b:fofType
% 182.79/183.16 Found (fun (x0:(P2 b))=> x0) as proof of (P2 b0)
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 b0))
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 182.79/183.16 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found x0:(P2 b)
% 182.79/183.16 Instantiate: b0:=b:fofType
% 182.79/183.16 Found (fun (x0:(P2 b))=> x0) as proof of (P2 b0)
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 b0))
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 182.79/183.16 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found x0:(P2 b)
% 182.79/183.16 Instantiate: b0:=b:fofType
% 182.79/183.16 Found (fun (x0:(P2 b))=> x0) as proof of (P2 b0)
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 b0))
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 182.79/183.16 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found x0:(P2 b)
% 182.79/183.16 Instantiate: b0:=b:fofType
% 182.79/183.16 Found (fun (x0:(P2 b))=> x0) as proof of (P2 b0)
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 b0))
% 182.79/183.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 182.79/183.16 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 182.79/183.16 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 182.79/183.16 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 182.79/183.16 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 182.79/183.16 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 182.79/183.16 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 182.79/183.16 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 182.79/183.16 Found x0:(P1 b0)
% 182.79/183.16 Instantiate: b0:=x:fofType
% 182.79/183.16 Found (fun (x0:(P1 b0))=> x0) as proof of (P1 b)
% 182.79/183.16 Found (fun (P1:(fofType->Prop)) (x0:(P1 b0))=> x0) as proof of ((P1 b0)->(P1 b))
% 182.79/183.16 Found (fun (P1:(fofType->Prop)) (x0:(P1 b0))=> x0) as proof of (P0 b0)
% 188.30/188.65 Found x0:(P0 (Xf b))
% 188.30/188.65 Instantiate: b0:=(Xf b):fofType
% 188.30/188.65 Found x0 as proof of (P1 b0)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 188.30/188.65 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 188.30/188.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 188.30/188.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 188.30/188.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 188.30/188.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 188.30/188.65 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 188.30/188.65 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 188.30/188.65 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 188.30/188.65 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 188.30/188.65 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 188.30/188.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 188.30/188.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 188.30/188.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 188.30/188.65 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 188.30/188.65 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 188.30/188.65 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 188.30/188.65 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 188.30/188.65 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 188.30/188.65 Found x0:(P x)
% 188.30/188.65 Instantiate: a:=x:fofType
% 188.30/188.65 Found x0 as proof of (P0 a)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 188.30/188.65 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 188.30/188.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 188.30/188.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 188.30/188.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 188.30/188.65 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 188.30/188.65 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 188.30/188.65 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 188.30/188.65 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 188.30/188.65 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 188.30/188.65 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 188.30/188.65 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 188.30/188.65 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 188.30/188.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 188.30/188.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 188.30/188.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 188.30/188.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 188.30/188.65 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 188.30/188.65 Found x01:(P b1)
% 188.30/188.65 Found (fun (x01:(P b1))=> x01) as proof of (P b1)
% 188.30/188.65 Found (fun (x01:(P b1))=> x01) as proof of (P0 b1)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 188.30/188.65 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 188.30/188.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 188.30/188.65 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 188.30/188.65 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 188.30/188.65 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 188.30/188.65 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 188.30/188.65 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 188.30/188.65 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 188.30/188.65 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 188.30/188.65 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 188.30/188.65 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 197.52/197.88 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 197.52/197.88 Found x01:(P1 x)
% 197.52/197.88 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 197.52/197.88 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 197.52/197.88 Found x0:(P x)
% 197.52/197.88 Found x0 as proof of (P0 x)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.52/197.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 197.52/197.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 197.52/197.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 197.52/197.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 197.52/197.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 197.52/197.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 197.52/197.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 197.52/197.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 197.52/197.88 Found x02:(P1 x)
% 197.52/197.88 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 197.52/197.88 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 197.52/197.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.52/197.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found x02:(P1 x)
% 197.52/197.88 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 197.52/197.88 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 197.52/197.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.52/197.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found x02:(P1 x)
% 197.52/197.88 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 197.52/197.88 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 197.52/197.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.52/197.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 197.52/197.88 Found x0:(P b0)
% 197.52/197.88 Instantiate: b00:=b0:fofType
% 197.52/197.88 Found x0 as proof of (P0 b00)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 197.52/197.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 197.52/197.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 197.52/197.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 197.52/197.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 197.52/197.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.52/197.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 197.52/197.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 200.54/200.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 200.54/200.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found x0:(P2 x)
% 200.54/200.88 Found (fun (x0:(P2 x))=> x0) as proof of (P2 b)
% 200.54/200.88 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of ((P2 x)->(P2 b))
% 200.54/200.88 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of (P1 x)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 200.54/200.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 200.54/200.88 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 200.54/200.88 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 200.54/200.88 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 200.54/200.88 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 200.54/200.88 Found x0:(P0 (Xf x))
% 200.54/200.88 Found (fun (x0:(P0 (Xf x)))=> x0) as proof of (P0 b0)
% 200.54/200.88 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of ((P0 (Xf x))->(P0 b0))
% 200.54/200.88 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of (P (Xf x))
% 200.54/200.88 Found x0:(P0 (Xf b))
% 200.54/200.88 Instantiate: b0:=(Xf b):fofType
% 200.54/200.88 Found x0 as proof of (P1 b0)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 200.54/200.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 200.54/200.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 200.54/200.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 200.54/200.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found x0:(P0 b1)
% 200.54/200.88 Instantiate: b1:=(Xf x):fofType
% 200.54/200.88 Found (fun (x0:(P0 b1))=> x0) as proof of (P0 b0)
% 200.54/200.88 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of ((P0 b1)->(P0 b0))
% 200.54/200.88 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of (P b1)
% 200.54/200.88 Found x0:(P b)
% 200.54/200.88 Instantiate: a:=b:fofType
% 200.54/200.88 Found x0 as proof of (P0 a)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 200.54/200.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 200.54/200.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 200.54/200.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 200.54/200.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 200.54/200.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 200.54/200.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 200.54/200.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 200.54/200.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 200.54/200.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 206.87/207.25 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 206.87/207.25 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 206.87/207.25 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 206.87/207.25 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 206.87/207.25 Found x01:(P1 x)
% 206.87/207.25 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 206.87/207.25 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 206.87/207.25 Found x01:(P1 b0)
% 206.87/207.25 Found (fun (x01:(P1 b0))=> x01) as proof of (P1 b0)
% 206.87/207.25 Found (fun (x01:(P1 b0))=> x01) as proof of (P2 b0)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 206.87/207.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found x0:(P1 (Xf b))
% 206.87/207.25 Instantiate: b0:=(Xf b):fofType
% 206.87/207.25 Found (fun (x0:(P1 (Xf b)))=> x0) as proof of (P1 b0)
% 206.87/207.25 Found (fun (P1:(fofType->Prop)) (x0:(P1 (Xf b)))=> x0) as proof of ((P1 (Xf b))->(P1 b0))
% 206.87/207.25 Found (fun (P1:(fofType->Prop)) (x0:(P1 (Xf b)))=> x0) as proof of (P0 b0)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 206.87/207.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 206.87/207.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 206.87/207.25 Found x01:(P1 b)
% 206.87/207.25 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 206.87/207.25 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 206.87/207.25 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 206.87/207.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 206.87/207.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 206.87/207.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 206.87/207.25 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 206.87/207.25 Found (eq_ref0 a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b0)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 206.87/207.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 206.87/207.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 206.87/207.25 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 206.87/207.25 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 206.87/207.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 208.76/209.11 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 208.76/209.11 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 208.76/209.11 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.76/209.11 Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% 208.76/209.11 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 208.76/209.11 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 208.76/209.11 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 208.76/209.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 208.76/209.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 208.76/209.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 208.76/209.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 208.76/209.11 Found x0:(P x)
% 208.76/209.11 Instantiate: b:=x:fofType
% 208.76/209.11 Found x0 as proof of (P1 b)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 (Xf a)):(((eq fofType) (Xf a)) (Xf a))
% 208.76/209.11 Found (eq_ref0 (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 208.76/209.11 Found ((eq_ref fofType) (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 208.76/209.11 Found ((eq_ref fofType) (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 208.76/209.11 Found ((eq_ref fofType) (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found x0:(P1 (Xf b))
% 208.76/209.11 Instantiate: b0:=(Xf b):fofType
% 208.76/209.11 Found (fun (x0:(P1 (Xf b)))=> x0) as proof of (P1 b0)
% 208.76/209.11 Found (fun (P1:(fofType->Prop)) (x0:(P1 (Xf b)))=> x0) as proof of ((P1 (Xf b))->(P1 b0))
% 208.76/209.11 Found (fun (P1:(fofType->Prop)) (x0:(P1 (Xf b)))=> x0) as proof of (P0 b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 208.76/209.11 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 208.76/209.11 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 208.76/209.11 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 210.74/211.08 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 210.74/211.08 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 210.74/211.08 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 210.74/211.08 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 210.74/211.08 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found x0:(P1 (Xf b))
% 210.74/211.08 Instantiate: b0:=(Xf b):fofType
% 210.74/211.08 Found (fun (x0:(P1 (Xf b)))=> x0) as proof of (P1 b0)
% 210.74/211.08 Found (fun (P1:(fofType->Prop)) (x0:(P1 (Xf b)))=> x0) as proof of ((P1 (Xf b))->(P1 b0))
% 210.74/211.08 Found (fun (P1:(fofType->Prop)) (x0:(P1 (Xf b)))=> x0) as proof of (P0 b0)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 210.74/211.08 Found x0:(P b0)
% 210.74/211.08 Instantiate: b1:=b0:fofType
% 210.74/211.08 Found x0 as proof of (P0 b1)
% 210.74/211.08 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 210.74/211.08 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 215.31/215.69 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 215.31/215.69 Found x0:(P0 b1)
% 215.31/215.69 Instantiate: b1:=(Xf x):fofType
% 215.31/215.69 Found (fun (x0:(P0 b1))=> x0) as proof of (P0 b)
% 215.31/215.69 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of ((P0 b1)->(P0 b))
% 215.31/215.69 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of (P b1)
% 215.31/215.69 Found x000:(P1 b0)
% 215.31/215.69 Found (fun (x000:(P1 b0))=> x000) as proof of (P1 b0)
% 215.31/215.69 Found (fun (x000:(P1 b0))=> x000) as proof of (P2 b0)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 215.31/215.69 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 215.31/215.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 215.31/215.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 215.31/215.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 215.31/215.69 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 215.31/215.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 215.31/215.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 215.31/215.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 215.31/215.69 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 215.31/215.69 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 215.31/215.69 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 215.31/215.69 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 215.31/215.69 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found x0:(P x)
% 215.31/215.69 Instantiate: b:=x:fofType
% 215.31/215.69 Found x0 as proof of (P1 b)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 (Xf a)):(((eq fofType) (Xf a)) (Xf a))
% 215.31/215.69 Found (eq_ref0 (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 215.31/215.69 Found ((eq_ref fofType) (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 215.31/215.69 Found ((eq_ref fofType) (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 215.31/215.69 Found ((eq_ref fofType) (Xf a)) as proof of (((eq fofType) (Xf a)) b)
% 215.31/215.69 Found x0:(P b0)
% 215.31/215.69 Found x0 as proof of (P0 x)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 215.31/215.69 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 215.31/215.69 Found x0:(P0 b1)
% 215.31/215.69 Instantiate: b1:=x:fofType
% 215.31/215.69 Found (fun (x0:(P0 b1))=> x0) as proof of (P0 x)
% 215.31/215.69 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of ((P0 b1)->(P0 x))
% 215.31/215.69 Found (fun (P0:(fofType->Prop)) (x0:(P0 b1))=> x0) as proof of (P b1)
% 215.31/215.69 Found x0:(P1 x)
% 215.31/215.69 Instantiate: b:=x:fofType
% 215.31/215.69 Found x0 as proof of (P2 b)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 215.31/215.69 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 215.31/215.69 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 215.31/215.69 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 215.31/215.69 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 215.31/215.69 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 215.31/215.69 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 215.31/215.69 Found x01:(P0 (Xf b))
% 215.31/215.69 Instantiate: b0:=(Xf b):fofType
% 215.31/215.69 Found (fun (x01:(P0 (Xf b)))=> x01) as proof of (P0 b0)
% 215.31/215.69 Found (fun (x01:(P0 (Xf b)))=> x01) as proof of (P1 b0)
% 215.31/215.69 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 215.31/215.69 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 215.31/215.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 217.25/217.59 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found x0:(P2 x)
% 217.25/217.59 Found (fun (x0:(P2 x))=> x0) as proof of (P2 x)
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of ((P2 x)->(P2 x))
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of (P1 x)
% 217.25/217.59 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 217.25/217.59 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 217.25/217.59 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found x0:(P2 x)
% 217.25/217.59 Found (fun (x0:(P2 x))=> x0) as proof of (P2 x)
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of ((P2 x)->(P2 x))
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of (P1 x)
% 217.25/217.59 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 217.25/217.59 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 217.25/217.59 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found x0:(P2 x)
% 217.25/217.59 Found (fun (x0:(P2 x))=> x0) as proof of (P2 x)
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of ((P2 x)->(P2 x))
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of (P1 x)
% 217.25/217.59 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 217.25/217.59 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 217.25/217.59 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 217.25/217.59 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 217.25/217.59 Found x0:(P2 x)
% 217.25/217.59 Found (fun (x0:(P2 x))=> x0) as proof of (P2 x)
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of ((P2 x)->(P2 x))
% 217.25/217.59 Found (fun (P2:(fofType->Prop)) (x0:(P2 x))=> x0) as proof of (P1 x)
% 217.25/217.59 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 217.25/217.59 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found x0:(P0 b0)
% 217.25/217.59 Instantiate: b1:=b0:fofType
% 217.25/217.59 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b1)
% 217.25/217.59 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b1))
% 217.25/217.59 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b1)
% 217.25/217.59 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 217.25/217.59 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 217.25/217.59 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 217.25/217.59 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 217.25/217.59 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 217.25/217.59 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 217.25/217.59 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 224.10/224.47 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 224.10/224.47 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 224.10/224.47 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 224.10/224.47 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 224.10/224.47 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 224.10/224.47 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found x0:(P0 b0)
% 224.10/224.47 Instantiate: b0:=(Xf x):fofType
% 224.10/224.47 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 224.10/224.47 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 224.10/224.47 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 224.10/224.47 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 224.10/224.47 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 224.10/224.47 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 224.10/224.47 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 224.10/224.47 Found (eq_ref0 x) as proof of (((eq fofType) x) b2)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 224.10/224.47 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% 224.10/224.47 Found (eq_ref0 b2) as proof of (((eq fofType) b2) (Xf x))
% 224.10/224.47 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 224.10/224.47 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 224.10/224.47 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 224.10/224.47 Found x000:(P1 x)
% 224.10/224.47 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 224.10/224.47 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 224.10/224.47 Found x0:(P x)
% 224.10/224.47 Instantiate: b00:=x:fofType
% 224.10/224.47 Found x0 as proof of (P0 b00)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 224.10/224.47 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 224.10/224.47 Found x0:(P x)
% 224.10/224.47 Instantiate: b0:=x:fofType
% 224.10/224.47 Found x0 as proof of (P0 b0)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 224.10/224.47 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 224.10/224.47 Found x02:(P1 x)
% 224.10/224.47 Found (fun (x02:(P1 x))=> x02) as proof of (P1 x)
% 224.10/224.47 Found (fun (x02:(P1 x))=> x02) as proof of (P2 x)
% 224.10/224.47 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 224.10/224.47 Found (eq_ref0 b) as proof of (((eq fofType) b) (Xf x))
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 224.10/224.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (Xf x))
% 226.58/226.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 226.58/226.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b)
% 226.58/226.97 Found x0:(P b)
% 226.58/226.97 Instantiate: b0:=b:fofType
% 226.58/226.97 Found x0 as proof of (P0 b0)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 226.58/226.97 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 226.58/226.97 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 226.58/226.97 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 226.58/226.97 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 226.58/226.97 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 226.58/226.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 226.58/226.97 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 226.58/226.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 226.58/226.97 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 226.58/226.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 226.58/226.97 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 226.58/226.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 226.58/226.97 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 226.58/226.97 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 226.58/226.97 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 226.58/226.97 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 226.58/226.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 226.58/226.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 226.58/226.97 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 226.58/226.97 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 226.58/226.97 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 227.70/228.10 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 227.70/228.10 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 227.70/228.10 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 227.70/228.10 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 227.70/228.10 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 227.70/228.10 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 227.70/228.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.70/228.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 227.70/228.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.75/230.18 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.75/230.18 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.75/230.18 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.75/230.18 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.75/230.18 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.75/230.18 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.75/230.18 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.75/230.18 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.75/230.18 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.75/230.18 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 229.75/230.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 229.75/230.18 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 229.75/230.18 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 229.75/230.18 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 229.75/230.18 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 229.75/230.18 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 229.75/230.18 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 229.75/230.18 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 229.75/230.18 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 229.75/230.18 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 229.75/230.18 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 229.75/230.18 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 229.75/230.18 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 229.75/230.18 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.75/230.18 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.75/230.18 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.75/230.18 Found x0:(P0 x)
% 235.36/235.70 Instantiate: b00:=x:fofType
% 235.36/235.70 Found (fun (x0:(P0 x))=> x0) as proof of (P0 b00)
% 235.36/235.70 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 b00))
% 235.36/235.70 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P b00)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 235.36/235.70 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 235.36/235.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 235.36/235.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 235.36/235.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 235.36/235.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 235.36/235.70 Found x02:(P x)
% 235.36/235.70 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 235.36/235.70 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 235.36/235.70 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 235.36/235.70 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 235.36/235.70 Found x0:(P x)
% 235.36/235.70 Found x0 as proof of (P0 x)
% 235.36/235.70 Found x00:(P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 235.36/235.70 Found x00:(P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 235.36/235.70 Found x00:(P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 235.36/235.70 Found x00:(P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 235.36/235.70 Found x00:(P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 235.36/235.70 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 235.36/235.70 Found x0:(P b)
% 235.36/235.70 Found x0 as proof of (P0 x)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 235.36/235.70 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 235.36/235.70 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 235.36/235.70 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 235.36/235.70 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 235.36/235.70 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 235.36/235.70 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 235.36/235.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 235.36/235.70 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 235.36/235.70 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 235.36/235.70 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 235.36/235.70 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 235.36/235.70 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 235.36/235.70 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 237.45/237.80 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.45/237.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 237.45/237.80 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 237.45/237.80 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 237.45/237.80 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.45/237.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 237.45/237.80 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.45/237.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 237.45/237.80 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.45/237.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found x0:(P b)
% 237.45/237.80 Found x0 as proof of (P0 (Xf x))
% 237.45/237.80 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 237.45/237.80 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.45/237.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 237.45/237.80 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 237.45/237.80 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 237.45/237.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.45/237.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 242.26/242.66 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 242.26/242.66 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 242.26/242.66 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 242.26/242.66 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 242.26/242.66 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 242.26/242.66 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 242.26/242.66 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 242.26/242.66 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 242.26/242.66 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 242.26/242.66 Found x000:(P1 x)
% 242.26/242.66 Found (fun (x000:(P1 x))=> x000) as proof of (P1 x)
% 242.26/242.66 Found (fun (x000:(P1 x))=> x000) as proof of (P2 x)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 242.26/242.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 242.26/242.66 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 242.26/242.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 242.26/242.66 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 242.26/242.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 242.26/242.66 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 242.26/242.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 242.26/242.66 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b0)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 242.26/242.66 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 242.26/242.66 Found (eq_ref0 a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) x)
% 242.26/242.66 Found x00:(P0 b0)
% 242.26/242.66 Found (fun (x00:(P0 b0))=> x00) as proof of (P0 b0)
% 242.26/242.66 Found (fun (x00:(P0 b0))=> x00) as proof of (P1 b0)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 244.70/245.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 244.70/245.10 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 244.70/245.10 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 244.70/245.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 244.70/245.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 244.70/245.10 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 244.70/245.10 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found x00:(P0 b0)
% 244.70/245.10 Found (fun (x00:(P0 b0))=> x00) as proof of (P0 b0)
% 244.70/245.10 Found (fun (x00:(P0 b0))=> x00) as proof of (P1 b0)
% 244.70/245.10 Found x01:(P x)
% 244.70/245.10 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 244.70/245.10 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 244.70/245.10 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found x0:(P0 b00)
% 244.70/245.10 Instantiate: b00:=x:fofType
% 244.70/245.10 Found (fun (x0:(P0 b00))=> x0) as proof of (P0 b0)
% 244.70/245.10 Found (fun (P0:(fofType->Prop)) (x0:(P0 b00))=> x0) as proof of ((P0 b00)->(P0 b0))
% 244.70/245.10 Found (fun (P0:(fofType->Prop)) (x0:(P0 b00))=> x0) as proof of (P b00)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 244.70/245.10 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 244.70/245.10 Found x0:(P0 b00)
% 244.70/245.10 Instantiate: b00:=x:fofType
% 244.70/245.10 Found (fun (x0:(P0 b00))=> x0) as proof of (P0 b0)
% 244.70/245.10 Found (fun (P0:(fofType->Prop)) (x0:(P0 b00))=> x0) as proof of ((P0 b00)->(P0 b0))
% 244.70/245.10 Found (fun (P0:(fofType->Prop)) (x0:(P0 b00))=> x0) as proof of (P b00)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 244.70/245.10 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 244.70/245.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 244.70/245.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 244.70/245.10 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 244.70/245.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 244.70/245.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 244.70/245.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 250.44/250.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 250.44/250.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 250.44/250.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 250.44/250.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 250.44/250.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 250.44/250.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 250.44/250.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 250.44/250.82 Found x01:(P b0)
% 250.44/250.82 Found (fun (x01:(P b0))=> x01) as proof of (P b0)
% 250.44/250.82 Found (fun (x01:(P b0))=> x01) as proof of (P0 b0)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 250.44/250.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b2)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% 250.44/250.82 Found (eq_ref0 b2) as proof of (((eq fofType) b2) b1)
% 250.44/250.82 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% 250.44/250.82 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% 250.44/250.82 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) b1)
% 250.44/250.82 Found x0:(P b)
% 250.44/250.82 Found x0 as proof of (P0 x)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 250.44/250.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b10)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b10)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b10)
% 250.44/250.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b10)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b10):(((eq fofType) b10) b10)
% 250.44/250.82 Found (eq_ref0 b10) as proof of (((eq fofType) b10) b0)
% 250.44/250.82 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b0)
% 250.44/250.82 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b0)
% 250.44/250.82 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b0)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 250.44/250.82 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 250.44/250.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 250.44/250.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 250.44/250.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 250.44/250.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 250.44/250.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 250.44/250.82 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 250.44/250.82 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 250.44/250.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 252.37/252.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 252.37/252.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 252.37/252.77 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 252.37/252.77 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 252.37/252.77 Found (eq_ref0 x) as proof of (((eq fofType) x) b01)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b01)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b01)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b01)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 252.37/252.77 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 252.37/252.77 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 252.37/252.77 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 252.37/252.77 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 252.37/252.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 252.37/252.77 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 252.37/252.77 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 252.37/252.77 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 252.37/252.77 Found x02:(P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P2 b)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 252.37/252.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 252.37/252.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found x02:(P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P2 b)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 252.37/252.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 252.37/252.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found x02:(P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P2 b)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 252.37/252.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 252.37/252.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 252.37/252.77 Found x02:(P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P1 b)
% 252.37/252.77 Found (fun (x02:(P1 b))=> x02) as proof of (P2 b)
% 252.37/252.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 252.37/252.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 252.37/252.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 260.75/261.17 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 260.75/261.17 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 260.75/261.17 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 260.75/261.17 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 260.75/261.17 Found x02:(P1 (Xf x))
% 260.75/261.17 Found (fun (x02:(P1 (Xf x)))=> x02) as proof of (P1 (Xf x))
% 260.75/261.17 Found (fun (x02:(P1 (Xf x)))=> x02) as proof of (P2 (Xf x))
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.75/261.17 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 260.75/261.17 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 260.75/261.17 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 260.75/261.17 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 260.75/261.17 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 260.75/261.17 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.75/261.17 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 260.75/261.17 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 260.75/261.17 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 260.75/261.17 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 260.75/261.17 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 260.75/261.17 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 260.75/261.17 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 260.75/261.17 Found x0:(P0 x)
% 260.75/261.17 Found (fun (x0:(P0 x))=> x0) as proof of (P0 x)
% 260.75/261.17 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 x))
% 260.75/261.17 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P x)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.75/261.17 Found (eq_ref0 b0) as proof of (((eq fofType) b0) x)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) x)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 260.75/261.17 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 260.75/261.17 Found x0:(P0 (Xf x))
% 260.75/261.17 Found (fun (x0:(P0 (Xf x)))=> x0) as proof of (P0 b)
% 260.75/261.17 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of ((P0 (Xf x))->(P0 b))
% 260.75/261.17 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of (P (Xf x))
% 260.75/261.17 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 260.75/261.17 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 260.75/261.17 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.75/261.17 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (Xf x))
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 260.75/261.17 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (Xf x))
% 260.75/261.17 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 260.75/261.17 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 260.75/261.17 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found x01:(P1 x)
% 265.62/266.00 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 265.62/266.00 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 265.62/266.00 Found x01:(P1 x)
% 265.62/266.00 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 265.62/266.00 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 265.62/266.00 Found x01:(P1 x)
% 265.62/266.00 Found (fun (x01:(P1 x))=> x01) as proof of (P1 x)
% 265.62/266.00 Found (fun (x01:(P1 x))=> x01) as proof of (P2 x)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 265.62/266.00 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 265.62/266.00 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 265.62/266.00 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 265.62/266.00 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 265.62/266.00 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 265.62/266.00 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 265.62/266.00 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 265.62/266.00 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 265.62/266.00 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 265.62/266.00 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b00)
% 265.62/266.00 Found x00:(P0 b)
% 265.62/266.00 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 265.62/266.00 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 265.62/266.00 Found x0:(P b)
% 265.62/266.00 Instantiate: b1:=b:fofType
% 265.62/266.00 Found x0 as proof of (P0 b1)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 265.62/266.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found x0:(P b)
% 265.62/266.00 Instantiate: b1:=b:fofType
% 265.62/266.00 Found x0 as proof of (P0 b1)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 265.62/266.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 265.62/266.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (Xf x))
% 265.62/266.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 265.62/266.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 265.62/266.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (Xf x))
% 265.62/266.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 265.62/266.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 265.62/266.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 265.62/266.00 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 265.62/266.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 265.62/266.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 265.62/266.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 265.62/266.00 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 265.62/266.00 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 266.83/267.25 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 266.83/267.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 266.83/267.25 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 266.83/267.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 266.83/267.25 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% 266.83/267.25 Found (eq_ref0 b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 266.83/267.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b2):(((eq fofType) b2) b2)
% 266.83/267.25 Found (eq_ref0 b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found ((eq_ref fofType) b2) as proof of (((eq fofType) b2) (Xf x))
% 266.83/267.25 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 266.83/267.25 Found (eq_ref0 x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b2)
% 266.83/267.25 Found x00:(P0 b)
% 266.83/267.25 Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% 266.83/267.25 Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 266.83/267.25 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 266.83/267.25 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 266.83/267.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 266.83/267.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 266.83/267.25 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 266.83/267.25 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 266.83/267.25 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 266.83/267.25 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 266.83/267.25 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 266.83/267.25 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 266.83/267.25 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 268.25/268.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 268.25/268.65 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 268.25/268.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 268.25/268.65 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 268.25/268.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.25/268.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.25/268.65 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.25/268.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.25/268.65 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.25/268.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.25/268.65 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.25/268.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.25/268.65 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.25/268.65 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.25/268.65 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 268.25/268.65 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.43/273.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 273.43/273.82 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.43/273.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.43/273.82 Found x0:(P (Xf x))
% 273.43/273.82 Instantiate: b0:=(Xf x):fofType
% 273.43/273.82 Found x0 as proof of (P0 b0)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 273.43/273.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 273.43/273.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found x0:(P0 b)
% 273.43/273.82 Instantiate: b1:=b:fofType
% 273.43/273.82 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b1)
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b1))
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b1)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 273.43/273.82 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 273.43/273.82 Found x0:(P0 b)
% 273.43/273.82 Instantiate: b1:=b:fofType
% 273.43/273.82 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b1)
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b1))
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b1)
% 273.43/273.82 Found x00:(P b1)
% 273.43/273.82 Found (fun (x00:(P b1))=> x00) as proof of (P b1)
% 273.43/273.82 Found (fun (x00:(P b1))=> x00) as proof of (P0 b1)
% 273.43/273.82 Found x00:(P b00)
% 273.43/273.82 Found (fun (x00:(P b00))=> x00) as proof of (P b00)
% 273.43/273.82 Found (fun (x00:(P b00))=> x00) as proof of (P0 b00)
% 273.43/273.82 Found x0:(P b)
% 273.43/273.82 Found x0 as proof of (P0 b)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 273.43/273.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 273.43/273.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 273.43/273.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 273.43/273.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 273.43/273.82 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 273.43/273.82 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 273.43/273.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 273.43/273.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 273.43/273.82 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 273.43/273.82 Found x0:(P0 (Xf x))
% 273.43/273.82 Found (fun (x0:(P0 (Xf x)))=> x0) as proof of (P0 b)
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of ((P0 (Xf x))->(P0 b))
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 (Xf x)))=> x0) as proof of (P (Xf x))
% 273.43/273.82 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 273.43/273.82 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 273.43/273.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 273.43/273.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 273.43/273.82 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 273.43/273.82 Found x0:(P0 b0)
% 273.43/273.82 Instantiate: b0:=x:fofType
% 273.43/273.82 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 273.43/273.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 280.03/280.44 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 280.03/280.44 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 280.03/280.44 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 (Xf b)):(((eq fofType) (Xf b)) (Xf b))
% 280.03/280.44 Found (eq_ref0 (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 280.03/280.44 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 280.03/280.44 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 280.03/280.44 Found ((eq_ref fofType) (Xf b)) as proof of (((eq fofType) (Xf b)) b00)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 280.03/280.44 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 280.03/280.44 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 280.03/280.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.03/280.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.03/280.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 280.03/280.44 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 280.03/280.44 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 280.03/280.44 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 280.03/280.44 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b1)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 280.03/280.44 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 280.03/280.44 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 280.03/280.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.03/280.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.03/280.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.03/280.44 Found x01:(P2 x)
% 280.03/280.44 Found (fun (x01:(P2 x))=> x01) as proof of (P2 x)
% 280.03/280.44 Found (fun (x01:(P2 x))=> x01) as proof of (P3 x)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 280.03/280.44 Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 280.03/280.44 Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 280.03/280.44 Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 280.03/280.44 Found x01:(P b)
% 280.03/280.44 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 280.03/280.44 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 280.03/280.44 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 280.03/280.44 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 280.03/280.44 Found (eq_ref0 x) as proof of (((eq fofType) x) b00)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 280.03/280.44 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b00)
% 286.44/286.86 Found x0:(P0 x)
% 286.44/286.86 Found (fun (x0:(P0 x))=> x0) as proof of (P0 b0)
% 286.44/286.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of ((P0 x)->(P0 b0))
% 286.44/286.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 x))=> x0) as proof of (P x)
% 286.44/286.86 Found x01:(P x)
% 286.44/286.86 Found (fun (x01:(P x))=> x01) as proof of (P x)
% 286.44/286.86 Found (fun (x01:(P x))=> x01) as proof of (P0 x)
% 286.44/286.86 Found x0:(P x)
% 286.44/286.86 Instantiate: b0:=x:fofType
% 286.44/286.86 Found x0 as proof of (P0 b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 286.44/286.86 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found x0:(P x)
% 286.44/286.86 Instantiate: b0:=x:fofType
% 286.44/286.86 Found x0 as proof of (P0 b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 286.44/286.86 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found x0:(P x)
% 286.44/286.86 Instantiate: b0:=x:fofType
% 286.44/286.86 Found x0 as proof of (P0 b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 286.44/286.86 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 286.44/286.86 Found x0:(P b)
% 286.44/286.86 Instantiate: b0:=b:fofType
% 286.44/286.86 Found x0 as proof of (P0 b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 (Xf x)):(((eq fofType) (Xf x)) (Xf x))
% 286.44/286.86 Found (eq_ref0 (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 286.44/286.86 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 286.44/286.86 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 286.44/286.86 Found ((eq_ref fofType) (Xf x)) as proof of (((eq fofType) (Xf x)) b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 286.44/286.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 286.44/286.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 286.44/286.86 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 286.44/286.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 286.44/286.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 286.44/286.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 286.44/286.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 286.44/286.86 Found x02:(P x)
% 286.44/286.86 Found (fun (x02:(P x))=> x02) as proof of (P x)
% 286.44/286.86 Found (fun (x02:(P x))=> x02) as proof of (P0 x)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 286.44/286.86 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 286.44/286.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 286.44/286.86 Found x02:(P b0)
% 286.44/286.86 Found (fun (x02:(P b0))=> x02) as proof of (P b0)
% 286.44/286.86 Found (fun (x02:(P b0))=> x02) as proof of (P0 b0)
% 286.44/286.86 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 286.44/286.86 Found (eq_ref0 b1) as proof of (((eq fofType) b1) x)
% 286.44/286.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 286.44/286.86 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) x)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 293.43/293.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 293.43/293.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 293.43/293.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 293.43/293.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 293.43/293.88 Found (eq_ref0 b00) as proof of (((eq fofType) b00) x)
% 293.43/293.88 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 293.43/293.88 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 293.43/293.88 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) x)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 293.43/293.88 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 293.43/293.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 293.43/293.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 293.43/293.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 293.43/293.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 293.43/293.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found x0:(P x)
% 293.43/293.88 Found x0 as proof of (P0 x)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 293.43/293.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 293.43/293.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 293.43/293.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 293.43/293.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 293.43/293.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found x0:(P (Xf x))
% 293.43/293.88 Instantiate: b0:=(Xf x):fofType
% 293.43/293.88 Found x0 as proof of (P0 b0)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 293.43/293.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found x0:(P b)
% 293.43/293.88 Instantiate: b0:=b:fofType
% 293.43/293.88 Found x0 as proof of (P0 b0)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 293.43/293.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b0)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 293.43/293.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 293.43/293.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 293.43/293.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 x):(((eq fofType) x) x)
% 293.43/293.88 Found (eq_ref0 x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found ((eq_ref fofType) x) as proof of (((eq fofType) x) b1)
% 293.43/293.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1
%------------------------------------------------------------------------------