TSTP Solution File: SYN990^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYN990^1 : TPTP v7.5.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu---x86_64 x86_64--- ------Linux 3.10.0-693.el7.x86_64
% Model : Unavailable
% CPU : Unavailable
% Memory : Unavailable
% OS : Unavailable
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Mar 28 13:41:28 EDT 2022
% Result : Timeout 285.85s 286.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN990^1 : TPTP v7.5.0. Released v3.7.0.
% 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Mar 11 04:33:37 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33 Python 2.7.5
% 5.90/6.14 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 5.90/6.14 FOF formula (<kernel.Constant object at 0x8bae60>, <kernel.Constant object at 0x8bae18>) of role type named a
% 5.90/6.14 Using role type
% 5.90/6.14 Declaring a:fofType
% 5.90/6.14 FOF formula (<kernel.Constant object at 0x8baf38>, <kernel.Single object at 0x8bae18>) of role type named b
% 5.90/6.14 Using role type
% 5.90/6.14 Declaring b:fofType
% 5.90/6.14 FOF formula (<kernel.Constant object at 0x2aec1184c518>, <kernel.DependentProduct object at 0xb8f908>) of role type named f
% 5.90/6.14 Using role type
% 5.90/6.14 Declaring f:(fofType->fofType)
% 5.90/6.14 FOF formula (<kernel.Constant object at 0x8bae18>, <kernel.DependentProduct object at 0xb8f878>) of role type named g
% 5.90/6.14 Using role type
% 5.90/6.14 Declaring g:(fofType->fofType)
% 5.90/6.14 FOF formula (<kernel.Constant object at 0x8baf38>, <kernel.DependentProduct object at 0x8b9e18>) of role type named h
% 5.90/6.14 Using role type
% 5.90/6.14 Declaring h:(fofType->fofType)
% 5.90/6.14 FOF formula (forall (X:fofType), ((or (((eq fofType) X) a)) (((eq fofType) X) b))) of role axiom named ab
% 5.90/6.14 A new axiom: (forall (X:fofType), ((or (((eq fofType) X) a)) (((eq fofType) X) b)))
% 5.90/6.14 FOF formula (not (((eq (fofType->fofType)) f) g)) of role axiom named fg
% 5.90/6.14 A new axiom: (not (((eq (fofType->fofType)) f) g))
% 5.90/6.14 FOF formula (not (((eq (fofType->fofType)) g) h)) of role axiom named gh
% 5.90/6.14 A new axiom: (not (((eq (fofType->fofType)) g) h))
% 5.90/6.14 FOF formula (not (((eq (fofType->fofType)) f) h)) of role axiom named fh
% 5.90/6.14 A new axiom: (not (((eq (fofType->fofType)) f) h))
% 5.90/6.14 We need to prove []
% 5.90/6.14 Parameter fofType:Type.
% 5.90/6.14 Parameter a:fofType.
% 5.90/6.14 Parameter b:fofType.
% 5.90/6.14 Parameter f:(fofType->fofType).
% 5.90/6.14 Parameter g:(fofType->fofType).
% 5.90/6.14 Parameter h:(fofType->fofType).
% 5.90/6.14 Axiom ab:(forall (X:fofType), ((or (((eq fofType) X) a)) (((eq fofType) X) b))).
% 5.90/6.14 Axiom fg:(not (((eq (fofType->fofType)) f) g)).
% 5.90/6.14 Axiom gh:(not (((eq (fofType->fofType)) g) h)).
% 5.90/6.14 Axiom fh:(not (((eq (fofType->fofType)) f) h)).
% 5.90/6.14 There are no conjectures!
% 5.90/6.14 Adding conjecture False, to look for Unsatisfiability
% 5.90/6.14 Trying to prove False
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 f)
% 5.90/6.14 Found ((eq_ref0 f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 f)
% 5.90/6.14 Found ((eq_ref0 f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 g)
% 5.90/6.14 Found ((eq_ref0 g) P) as proof of (P0 g)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 g)
% 5.90/6.14 Found ((eq_ref0 g) P) as proof of (P0 g)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 f)
% 5.90/6.14 Found ((eq_ref0 f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 f)
% 5.90/6.14 Found ((eq_ref0 f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 f)
% 5.90/6.14 Found ((eq_ref0 f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 g)
% 5.90/6.14 Found ((eq_ref0 g) P) as proof of (P0 g)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 5.90/6.14 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 5.90/6.14 Found (eq_ref00 P) as proof of (P0 f)
% 5.90/6.14 Found ((eq_ref0 f) P) as proof of (P0 f)
% 5.90/6.14 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 18.07/18.24 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 18.07/18.24 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 18.07/18.24 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 18.07/18.24 Found (eta_expansion_dep00 f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 18.07/18.24 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 18.07/18.24 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 18.07/18.24 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 18.07/18.24 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 18.07/18.24 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 18.07/18.24 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 18.07/18.24 Found (eq_ref00 P) as proof of (P0 g)
% 18.07/18.24 Found ((eq_ref0 g) P) as proof of (P0 g)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 18.07/18.24 Found (eq_ref00 P) as proof of (P0 h)
% 18.07/18.24 Found ((eq_ref0 h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 18.07/18.24 Found (eq_ref00 P) as proof of (P0 g)
% 18.07/18.24 Found ((eq_ref0 g) P) as proof of (P0 g)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 18.07/18.24 Found (eq_ref00 P) as proof of (P0 h)
% 18.07/18.24 Found ((eq_ref0 h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 18.07/18.24 Found (eq_ref00 P) as proof of (P0 h)
% 18.07/18.24 Found ((eq_ref0 h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 18.07/18.24 Found (eq_ref00 P) as proof of (P0 h)
% 18.07/18.24 Found ((eq_ref0 h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 18.07/18.24 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 23.50/23.68 Found (eq_ref00 P) as proof of (P0 (f x))
% 23.50/23.68 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 23.50/23.68 Found (eq_ref00 P) as proof of (P0 (f x))
% 23.50/23.68 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 23.50/23.68 Found (eq_ref00 P) as proof of (P0 (f x))
% 23.50/23.68 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 23.50/23.68 Found (eq_ref00 P) as proof of (P0 (g x))
% 23.50/23.68 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 23.50/23.68 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 23.50/23.68 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 23.50/23.68 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 23.50/23.68 Found (eq_ref00 P) as proof of (P0 (g x))
% 23.50/23.68 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 23.50/23.68 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 23.50/23.68 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 23.50/23.68 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 23.50/23.68 Found (eq_ref00 P) as proof of (P0 (f x))
% 23.50/23.68 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 23.50/23.68 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 23.50/23.68 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 23.50/23.68 Found eta_expansion000:=(eta_expansion00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 23.50/23.68 Found (eta_expansion00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found ((eta_expansion0 fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 23.50/23.68 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found eta_expansion000:=(eta_expansion00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 23.50/23.68 Found (eta_expansion00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found ((eta_expansion0 fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 23.50/23.68 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 23.50/23.68 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 23.50/23.68 Found eta_expansion000:=(eta_expansion00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 23.50/23.68 Found (eta_expansion00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 23.50/23.68 Found ((eta_expansion0 fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 23.50/23.68 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 39.87/40.04 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 39.87/40.04 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.87/40.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 39.87/40.04 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.87/40.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 39.87/40.04 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 39.87/40.04 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.87/40.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 39.87/40.04 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.87/40.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 39.87/40.04 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.87/40.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 39.87/40.04 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 39.87/40.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.87/40.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 39.87/40.04 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 39.87/40.04 Found (eq_ref00 P) as proof of (P0 (h x))
% 39.87/40.04 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 50.49/50.67 Found (eq_ref00 P) as proof of (P0 (h x))
% 50.49/50.67 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 50.49/50.67 Found (eq_ref00 P) as proof of (P0 (g x))
% 50.49/50.67 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 50.49/50.67 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 50.49/50.67 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 50.49/50.67 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 50.49/50.67 Found (eq_ref00 P) as proof of (P0 (h x))
% 50.49/50.67 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 50.49/50.67 Found (eq_ref00 P) as proof of (P0 (h x))
% 50.49/50.67 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 50.49/50.67 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 50.49/50.67 Found (eq_ref00 P) as proof of (P0 (g x))
% 50.49/50.67 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 50.49/50.67 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 50.49/50.67 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 50.49/50.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 50.49/50.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 50.49/50.67 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 50.49/50.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 50.49/50.67 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 50.49/50.67 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 50.49/50.67 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 50.49/50.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 50.49/50.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 50.49/50.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 50.49/50.67 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 50.49/50.67 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 50.49/50.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 50.49/50.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 50.49/50.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 51.57/51.82 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 51.57/51.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 51.57/51.82 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 51.57/51.82 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 51.57/51.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 51.57/51.82 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 51.57/51.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 51.57/51.82 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 51.57/51.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 51.57/51.82 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 51.57/51.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 51.57/51.82 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 51.57/51.82 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 51.57/51.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 51.57/51.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 71.19/71.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 71.19/71.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 71.19/71.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 71.19/71.38 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 71.19/71.38 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 71.19/71.38 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 71.19/71.38 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 71.19/71.38 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 71.19/71.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 71.19/71.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 71.19/71.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 71.19/71.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 71.19/71.38 Found x:(P f)
% 71.19/71.38 Instantiate: b0:=f:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 b0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 h):(((eq (fofType->fofType)) h) h)
% 71.19/71.38 Found (eq_ref0 h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found x:(P f)
% 71.19/71.38 Instantiate: b0:=f:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 b0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 71.19/71.38 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 71.19/71.38 Found x:(P g)
% 71.19/71.38 Instantiate: b0:=g:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 b0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 h):(((eq (fofType->fofType)) h) h)
% 71.19/71.38 Found (eq_ref0 h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found ((eq_ref (fofType->fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 71.19/71.38 Found x:(P f)
% 71.19/71.38 Instantiate: f0:=f:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 f0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 71.19/71.38 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (h x)))
% 71.19/71.38 Found x:(P g)
% 71.19/71.38 Instantiate: f0:=g:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 f0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 71.19/71.38 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (h x0))
% 71.19/71.38 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (h x)))
% 71.19/71.38 Found x:(P f)
% 71.19/71.38 Instantiate: f0:=f:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 f0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 71.19/71.38 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 71.19/71.38 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 71.19/71.38 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 71.19/71.38 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (g x0))
% 71.19/71.38 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (g x)))
% 71.19/71.38 Found x:(P f)
% 71.19/71.38 Instantiate: f0:=f:(fofType->fofType)
% 71.19/71.38 Found x as proof of (P0 f0)
% 71.19/71.38 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 75.47/75.67 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 75.47/75.67 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 75.47/75.67 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 75.47/75.67 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (g x0))
% 75.47/75.67 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (g x)))
% 75.47/75.67 Found x:(P g)
% 75.47/75.67 Instantiate: f0:=g:(fofType->fofType)
% 75.47/75.67 Found x as proof of (P0 f0)
% 75.47/75.67 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 75.47/75.67 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (h x)))
% 75.47/75.67 Found x:(P f)
% 75.47/75.67 Instantiate: f0:=f:(fofType->fofType)
% 75.47/75.67 Found x as proof of (P0 f0)
% 75.47/75.67 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 75.47/75.67 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (h x0))
% 75.47/75.67 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (h x)))
% 75.47/75.67 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 75.47/75.67 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found eta_expansion000:=(eta_expansion00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 75.47/75.67 Found (eta_expansion00 f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found ((eta_expansion0 fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 75.47/75.67 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 75.47/75.67 Found eta_expansion000:=(eta_expansion00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 75.47/75.67 Found (eta_expansion00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 75.47/75.67 Found ((eta_expansion0 fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 75.47/75.67 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 75.47/75.67 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 75.47/75.67 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 75.47/75.67 Found eta_expansion000:=(eta_expansion00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 75.47/75.67 Found (eta_expansion00 f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found ((eta_expansion0 fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 75.47/75.67 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 77.08/77.28 Found (eq_ref0 b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found eta_expansion000:=(eta_expansion00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 77.08/77.28 Found (eta_expansion00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found ((eta_expansion0 fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 77.08/77.28 Found (eq_ref0 b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found eta_expansion000:=(eta_expansion00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 77.08/77.28 Found (eta_expansion00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 77.08/77.28 Found ((eta_expansion0 fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b0)
% 77.08/77.28 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 77.08/77.28 Found (eq_ref0 b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (P b0)
% 77.08/77.28 Found eta_expansion000:=(eta_expansion00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 77.08/77.28 Found (eta_expansion00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found ((eta_expansion0 fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) h) as proof of (((eq (fofType->fofType)) h) b0)
% 77.08/77.28 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 77.08/77.28 Found (eq_ref00 P) as proof of (P0 f)
% 77.08/77.28 Found ((eq_ref0 f) P) as proof of (P0 f)
% 77.08/77.28 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 77.08/77.28 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 77.08/77.28 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 77.08/77.28 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 77.08/77.28 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 77.08/77.28 Found eta_expansion000:=(eta_expansion00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 77.08/77.28 Found (eta_expansion00 f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found ((eta_expansion0 fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 77.08/77.28 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 77.08/77.28 Found (eq_ref00 P) as proof of (P0 g)
% 77.08/77.28 Found ((eq_ref0 g) P) as proof of (P0 g)
% 77.08/77.28 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 77.08/77.28 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 77.08/77.28 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 77.08/77.28 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 79.97/80.20 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 79.97/80.20 Found (eq_ref00 P) as proof of (P0 f)
% 79.97/80.20 Found ((eq_ref0 f) P) as proof of (P0 f)
% 79.97/80.20 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 79.97/80.20 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 79.97/80.20 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 79.97/80.20 Found eta_expansion000:=(eta_expansion00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 79.97/80.20 Found (eta_expansion00 f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eta_expansion0 fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found x:(P h)
% 79.97/80.20 Instantiate: b0:=h:(fofType->fofType)
% 79.97/80.20 Found x as proof of (P0 b0)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 79.97/80.20 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found x:(P g)
% 79.97/80.20 Instantiate: b0:=g:(fofType->fofType)
% 79.97/80.20 Found x as proof of (P0 b0)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 79.97/80.20 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 79.97/80.20 Found x:(P h)
% 79.97/80.20 Instantiate: b0:=h:(fofType->fofType)
% 79.97/80.20 Found x as proof of (P0 b0)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 79.97/80.20 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 79.97/80.20 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 79.97/80.20 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 79.97/80.20 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 79.97/80.20 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 79.97/80.20 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 79.97/80.20 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 79.97/80.20 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 79.97/80.20 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 91.22/91.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 91.22/91.45 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 91.22/91.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 91.22/91.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 91.22/91.45 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 91.22/91.45 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 91.22/91.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 91.22/91.45 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 91.22/91.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 91.22/91.45 Found x0:(P (f x))
% 91.22/91.45 Instantiate: b0:=(f x):fofType
% 91.22/91.45 Found x0 as proof of (P0 b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 91.22/91.45 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found x0:(P (g x))
% 91.22/91.45 Instantiate: b0:=(g x):fofType
% 91.22/91.45 Found x0 as proof of (P0 b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 91.22/91.45 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found x0:(P (g x))
% 91.22/91.45 Instantiate: b0:=(g x):fofType
% 91.22/91.45 Found x0 as proof of (P0 b0)
% 91.22/91.45 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 91.22/91.45 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 91.22/91.45 Found x0:(P (f x))
% 103.98/104.19 Instantiate: b0:=(f x):fofType
% 103.98/104.19 Found x0 as proof of (P0 b0)
% 103.98/104.19 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 103.98/104.19 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found x0:(P (f x))
% 103.98/104.19 Instantiate: b0:=(f x):fofType
% 103.98/104.19 Found x0 as proof of (P0 b0)
% 103.98/104.19 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 103.98/104.19 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 103.98/104.19 Found x0:(P (f x))
% 103.98/104.19 Instantiate: b0:=(f x):fofType
% 103.98/104.19 Found x0 as proof of (P0 b0)
% 103.98/104.19 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 103.98/104.19 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 103.98/104.19 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 g)->(P1 g))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 g)
% 103.98/104.19 Found ((eq_ref0 g) P1) as proof of (P2 g)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 g)->(P1 g))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 g)
% 103.98/104.19 Found ((eq_ref0 g) P1) as proof of (P2 g)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 g)->(P1 g))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 g)
% 103.98/104.19 Found ((eq_ref0 g) P1) as proof of (P2 g)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 h)->(P1 h))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 h)
% 103.98/104.19 Found ((eq_ref0 h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found (((eq_ref (fofType->fofType)) h) P1) as proof of (P2 h)
% 103.98/104.19 Found eq_ref000:=(eq_ref00 P1):((P1 g)->(P1 g))
% 103.98/104.19 Found (eq_ref00 P1) as proof of (P2 g)
% 103.98/104.19 Found ((eq_ref0 g) P1) as proof of (P2 g)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) g) P1) as proof of (P2 g)
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (g x))
% 112.35/112.60 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (g x))
% 112.35/112.60 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (g x))
% 112.35/112.60 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (f x))->(P1 (f x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (f x))
% 112.35/112.60 Found ((eq_ref0 (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found (((eq_ref fofType) (f x)) P1) as proof of (P2 (f x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 112.35/112.60 Found (eq_ref00 P1) as proof of (P2 (g x))
% 112.35/112.60 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 112.35/112.60 Found (eq_ref00 P) as proof of (P0 g)
% 112.35/112.60 Found ((eq_ref0 g) P) as proof of (P0 g)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 112.35/112.60 Found (eq_ref00 P) as proof of (P0 f)
% 112.35/112.60 Found ((eq_ref0 f) P) as proof of (P0 f)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 112.35/112.60 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 112.35/112.60 Found (eq_ref00 P) as proof of (P0 f)
% 112.35/112.60 Found ((eq_ref0 f) P) as proof of (P0 f)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 112.35/112.60 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 112.35/112.60 Found x:(P h)
% 113.36/113.63 Instantiate: f0:=h:(fofType->fofType)
% 113.36/113.63 Found x as proof of (P0 f0)
% 113.36/113.63 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 113.36/113.63 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (f x)))
% 113.36/113.63 Found x:(P g)
% 113.36/113.63 Instantiate: f0:=g:(fofType->fofType)
% 113.36/113.63 Found x as proof of (P0 f0)
% 113.36/113.63 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 113.36/113.63 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (f x)))
% 113.36/113.63 Found x:(P h)
% 113.36/113.63 Instantiate: f0:=h:(fofType->fofType)
% 113.36/113.63 Found x as proof of (P0 f0)
% 113.36/113.63 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 113.36/113.63 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (f x)))
% 113.36/113.63 Found x:(P h)
% 113.36/113.63 Instantiate: f0:=h:(fofType->fofType)
% 113.36/113.63 Found x as proof of (P0 f0)
% 113.36/113.63 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 113.36/113.63 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (g x)))
% 113.36/113.63 Found x:(P h)
% 113.36/113.63 Instantiate: f0:=h:(fofType->fofType)
% 113.36/113.63 Found x as proof of (P0 f0)
% 113.36/113.63 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 113.36/113.63 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (g x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (g x)))
% 113.36/113.63 Found x:(P g)
% 113.36/113.63 Instantiate: f0:=g:(fofType->fofType)
% 113.36/113.63 Found x as proof of (P0 f0)
% 113.36/113.63 Found eq_ref00:=(eq_ref0 (f0 x0)):(((eq fofType) (f0 x0)) (f0 x0))
% 113.36/113.63 Found (eq_ref0 (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found ((eq_ref fofType) (f0 x0)) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (((eq fofType) (f0 x0)) (f x0))
% 113.36/113.63 Found (fun (x0:fofType)=> ((eq_ref fofType) (f0 x0))) as proof of (forall (x:fofType), (((eq fofType) (f0 x)) (f x)))
% 113.36/113.63 Found eq_ref00:=(eq_ref0 b00):(((eq (fofType->fofType)) b00) b00)
% 113.36/113.63 Found (eq_ref0 b00) as proof of (((eq (fofType->fofType)) b00) h)
% 113.36/113.63 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) h)
% 113.36/113.63 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) h)
% 113.36/113.63 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) h)
% 113.36/113.63 Found eta_expansion000:=(eta_expansion00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 113.36/113.63 Found (eta_expansion00 g) as proof of (((eq (fofType->fofType)) g) b00)
% 113.36/113.63 Found ((eta_expansion0 fofType) g) as proof of (((eq (fofType->fofType)) g) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) g) as proof of (((eq (fofType->fofType)) g) b00)
% 127.42/127.69 Found eq_ref00:=(eq_ref0 b00):(((eq (fofType->fofType)) b00) b00)
% 127.42/127.69 Found (eq_ref0 b00) as proof of (((eq (fofType->fofType)) b00) g)
% 127.42/127.69 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) g)
% 127.42/127.69 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) g)
% 127.42/127.69 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) g)
% 127.42/127.69 Found eta_expansion000:=(eta_expansion00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 127.42/127.69 Found (eta_expansion00 f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found ((eta_expansion0 fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found eq_ref00:=(eq_ref0 b00):(((eq (fofType->fofType)) b00) b00)
% 127.42/127.69 Found (eq_ref0 b00) as proof of (((eq (fofType->fofType)) b00) h)
% 127.42/127.69 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) h)
% 127.42/127.69 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) h)
% 127.42/127.69 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) h)
% 127.42/127.69 Found eta_expansion000:=(eta_expansion00 f):(((eq (fofType->fofType)) f) (fun (x:fofType)=> (f x)))
% 127.42/127.69 Found (eta_expansion00 f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found ((eta_expansion0 fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found (((eta_expansion fofType) fofType) f) as proof of (((eq (fofType->fofType)) f) b00)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 f)
% 127.42/127.69 Found ((eq_ref0 f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 f)
% 127.42/127.69 Found ((eq_ref0 f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 g)
% 127.42/127.69 Found ((eq_ref0 g) P) as proof of (P0 g)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 f)
% 127.42/127.69 Found ((eq_ref0 f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 g)
% 127.42/127.69 Found ((eq_ref0 g) P) as proof of (P0 g)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 f)
% 127.42/127.69 Found ((eq_ref0 f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 h)
% 127.42/127.69 Found ((eq_ref0 h) P) as proof of (P0 h)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 127.42/127.69 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 127.42/127.69 Found (eq_ref00 P) as proof of (P0 g)
% 127.42/127.69 Found ((eq_ref0 g) P) as proof of (P0 g)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 127.42/127.69 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 128.33/128.63 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 128.33/128.63 Found (eq_ref00 P) as proof of (P0 h)
% 128.33/128.63 Found ((eq_ref0 h) P) as proof of (P0 h)
% 128.33/128.63 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 128.33/128.63 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 128.33/128.63 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 128.33/128.63 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 128.33/128.63 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 128.33/128.63 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 128.33/128.63 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 128.33/128.63 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 128.33/128.63 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 128.33/128.63 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 128.33/128.63 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 128.33/128.63 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 128.33/128.63 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 128.33/128.63 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 128.33/128.63 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 128.33/128.63 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 129.36/129.61 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 129.36/129.61 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 129.36/129.61 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 129.36/129.61 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 129.36/129.61 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 129.36/129.61 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 129.36/129.61 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 129.36/129.61 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 129.36/129.61 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 129.36/129.61 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 129.36/129.61 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 129.36/129.61 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 129.36/129.61 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 130.11/130.34 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 130.11/130.34 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 130.11/130.34 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 130.11/130.34 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 130.11/130.34 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 130.11/130.34 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 130.11/130.34 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 130.11/130.34 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) f)
% 130.11/130.34 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 130.11/130.34 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 130.11/130.34 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 141.21/141.47 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.21/141.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 141.21/141.47 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.21/141.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 141.21/141.47 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.21/141.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 141.21/141.47 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.21/141.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 141.21/141.47 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.21/141.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 141.21/141.47 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 141.21/141.47 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 141.21/141.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 141.21/141.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 141.21/141.47 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 141.21/141.47 Found (eq_ref00 P) as proof of (P0 (f x))
% 141.21/141.47 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 141.21/141.47 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 141.21/141.47 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 143.03/143.28 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 143.03/143.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 143.03/143.28 Found (eq_ref00 P) as proof of (P0 (g x))
% 143.03/143.28 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 143.03/143.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 143.03/143.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 143.03/143.28 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 143.03/143.28 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 143.03/143.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 143.03/143.28 Found (eq_ref00 P) as proof of (P0 (g x))
% 143.03/143.28 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 143.03/143.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 143.03/143.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 143.03/143.28 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 143.03/143.28 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 143.03/143.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 143.03/143.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 143.03/143.28 Found (eq_ref00 P) as proof of (P0 (f x))
% 143.03/143.28 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 143.03/143.28 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 143.03/143.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 143.03/143.28 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 143.03/143.28 Found (eq_ref00 P) as proof of (P0 (f x))
% 143.03/143.28 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 143.03/143.28 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 143.03/143.28 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 143.03/143.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 143.03/143.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 143.03/143.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 144.05/144.30 Found (eq_ref00 P) as proof of (P0 (f x))
% 144.05/144.30 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 144.05/144.30 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 144.05/144.30 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 144.05/144.30 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 144.05/144.30 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.05/144.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 144.05/144.30 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.05/144.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 144.05/144.30 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 144.05/144.30 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.05/144.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 144.05/144.30 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.05/144.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 144.05/144.30 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 144.05/144.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.05/144.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 144.05/144.30 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 144.05/144.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 144.05/144.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.05/144.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 144.05/144.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 145.12/145.36 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.12/145.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 145.12/145.36 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.12/145.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 145.12/145.36 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.12/145.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 145.12/145.36 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.12/145.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 145.12/145.36 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.12/145.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 145.12/145.36 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 145.12/145.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.12/145.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 145.12/145.36 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 145.12/145.36 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 145.12/145.36 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (h x))
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (h x))
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 150.90/151.14 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 150.90/151.14 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 150.90/151.14 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 150.90/151.14 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 150.90/151.14 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 150.90/151.14 Found (eq_ref0 b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) b0) as proof of (P b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 150.90/151.14 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 150.90/151.14 Found eq_ref00:=(eq_ref0 (b0 x)):(((eq fofType) (b0 x)) (b0 x))
% 150.90/151.14 Found (eq_ref0 (b0 x)) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 150.90/151.14 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 151.67/151.94 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found eq_ref00:=(eq_ref0 (b0 x)):(((eq fofType) (b0 x)) (b0 x))
% 151.67/151.94 Found (eq_ref0 (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 151.67/151.94 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found eq_ref00:=(eq_ref0 (b0 x)):(((eq fofType) (b0 x)) (b0 x))
% 151.67/151.94 Found (eq_ref0 (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 151.67/151.94 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found eq_ref00:=(eq_ref0 (b0 x)):(((eq fofType) (b0 x)) (b0 x))
% 151.67/151.94 Found (eq_ref0 (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 151.67/151.94 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 151.67/151.94 Found eq_ref00:=(eq_ref0 (b0 x)):(((eq fofType) (b0 x)) (b0 x))
% 151.67/151.94 Found (eq_ref0 (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 151.67/151.94 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 151.67/151.94 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 151.67/151.94 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (b0 x)):(((eq fofType) (b0 x)) (b0 x))
% 162.42/162.72 Found (eq_ref0 (b0 x)) as proof of (P b0)
% 162.42/162.72 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 162.42/162.72 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 162.42/162.72 Found ((eq_ref fofType) (b0 x)) as proof of (P b0)
% 162.42/162.72 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 162.42/162.72 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b0)
% 162.42/162.72 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 162.42/162.72 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 162.42/162.72 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 162.42/162.72 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b0)
% 162.42/162.72 Found x0:(P (h x))
% 162.42/162.72 Instantiate: b0:=(h x):fofType
% 162.42/162.72 Found x0 as proof of (P0 b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 162.42/162.72 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found x0:(P (h x))
% 162.42/162.72 Instantiate: b0:=(h x):fofType
% 162.42/162.72 Found x0 as proof of (P0 b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 162.42/162.72 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found x0:(P (h x))
% 162.42/162.72 Instantiate: b0:=(h x):fofType
% 162.42/162.72 Found x0 as proof of (P0 b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 162.42/162.72 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found x0:(P (g x))
% 162.42/162.72 Instantiate: b0:=(g x):fofType
% 162.42/162.72 Found x0 as proof of (P0 b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 162.42/162.72 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found x0:(P (g x))
% 162.42/162.72 Instantiate: b0:=(g x):fofType
% 162.42/162.72 Found x0 as proof of (P0 b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 162.42/162.72 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 162.42/162.72 Found x0:(P (h x))
% 162.42/162.72 Instantiate: b0:=(h x):fofType
% 162.42/162.72 Found x0 as proof of (P0 b0)
% 162.42/162.72 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 162.42/162.72 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 162.42/162.72 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 162.42/162.72 Found (eq_ref00 P) as proof of (P0 f)
% 162.42/162.72 Found ((eq_ref0 f) P) as proof of (P0 f)
% 162.42/162.72 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 162.42/162.72 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 162.42/162.72 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 162.42/162.72 Found (eq_ref00 P) as proof of (P0 g)
% 162.42/162.72 Found ((eq_ref0 g) P) as proof of (P0 g)
% 162.42/162.72 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 162.42/162.72 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 162.42/162.72 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 162.42/162.72 Found (eq_ref00 P) as proof of (P0 f)
% 162.42/162.72 Found ((eq_ref0 f) P) as proof of (P0 f)
% 162.42/162.72 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 f)
% 184.31/184.57 Found ((eq_ref0 f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 f)
% 184.31/184.57 Found ((eq_ref0 f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 f)
% 184.31/184.57 Found ((eq_ref0 f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 g)
% 184.31/184.57 Found ((eq_ref0 g) P) as proof of (P0 g)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 g)
% 184.31/184.57 Found ((eq_ref0 g) P) as proof of (P0 g)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P f)->(P f))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 f)
% 184.31/184.57 Found ((eq_ref0 f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found (((eq_ref (fofType->fofType)) f) P) as proof of (P0 f)
% 184.31/184.57 Found x0:(P (g x))
% 184.31/184.57 Instantiate: b0:=(g x):fofType
% 184.31/184.57 Found x0 as proof of (P0 b0)
% 184.31/184.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 184.31/184.57 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found x0:(P (h x))
% 184.31/184.57 Instantiate: b0:=(h x):fofType
% 184.31/184.57 Found x0 as proof of (P0 b0)
% 184.31/184.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 184.31/184.57 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found x0:(P (h x))
% 184.31/184.57 Instantiate: b0:=(h x):fofType
% 184.31/184.57 Found x0 as proof of (P0 b0)
% 184.31/184.57 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 184.31/184.57 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found x0:(P (g x))
% 184.31/184.57 Instantiate: b0:=(g x):fofType
% 184.31/184.57 Found x0 as proof of (P0 b0)
% 184.31/184.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 184.31/184.57 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found x0:(P (h x))
% 184.31/184.57 Instantiate: b0:=(h x):fofType
% 184.31/184.57 Found x0 as proof of (P0 b0)
% 184.31/184.57 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 184.31/184.57 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b0)
% 184.31/184.57 Found x0:(P (h x))
% 184.31/184.57 Instantiate: b0:=(h x):fofType
% 184.31/184.57 Found x0 as proof of (P0 b0)
% 184.31/184.57 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 184.31/184.57 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 184.31/184.57 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 184.31/184.57 Found (eq_ref00 P) as proof of (P0 g)
% 184.31/184.57 Found ((eq_ref0 g) P) as proof of (P0 g)
% 194.58/194.85 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 194.58/194.85 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 194.58/194.85 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 194.58/194.85 Found (eq_ref00 P) as proof of (P0 h)
% 194.58/194.85 Found ((eq_ref0 h) P) as proof of (P0 h)
% 194.58/194.85 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 194.58/194.85 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 194.58/194.85 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 194.58/194.85 Found (eq_ref00 P) as proof of (P0 h)
% 194.58/194.85 Found ((eq_ref0 h) P) as proof of (P0 h)
% 194.58/194.85 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 194.58/194.85 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 194.58/194.85 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 194.58/194.85 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 194.58/194.85 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 194.58/194.85 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 194.58/194.85 Found eq_ref00:=(eq_ref0 b00):(((eq (fofType->fofType)) b00) b00)
% 194.58/194.85 Found (eq_ref0 b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found eta_expansion_dep000:=(eta_expansion_dep00 g):(((eq (fofType->fofType)) g) (fun (x:fofType)=> (g x)))
% 194.58/194.85 Found (eta_expansion_dep00 g) as proof of (((eq (fofType->fofType)) g) b00)
% 194.58/194.85 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b00)
% 194.58/194.85 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b00)
% 194.58/194.85 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b00)
% 194.58/194.85 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) g) as proof of (((eq (fofType->fofType)) g) b00)
% 194.58/194.85 Found eq_ref00:=(eq_ref0 b00):(((eq (fofType->fofType)) b00) b00)
% 194.58/194.85 Found (eq_ref0 b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) f)
% 194.58/194.85 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 194.58/194.85 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b00)
% 194.58/194.85 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 194.58/194.85 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 194.58/194.85 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 194.58/194.85 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 194.58/194.85 Found eq_ref00:=(eq_ref0 b00):(((eq (fofType->fofType)) b00) b00)
% 194.58/194.85 Found (eq_ref0 b00) as proof of (((eq (fofType->fofType)) b00) g)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) g)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) g)
% 194.58/194.85 Found ((eq_ref (fofType->fofType)) b00) as proof of (((eq (fofType->fofType)) b00) g)
% 194.58/194.85 Found eta_expansion_dep000:=(eta_expansion_dep00 h):(((eq (fofType->fofType)) h) (fun (x:fofType)=> (h x)))
% 211.81/212.12 Found (eta_expansion_dep00 h) as proof of (((eq (fofType->fofType)) h) b00)
% 211.81/212.12 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 211.81/212.12 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 211.81/212.12 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 211.81/212.12 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) h) as proof of (((eq (fofType->fofType)) h) b00)
% 211.81/212.12 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 211.81/212.12 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 211.81/212.12 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 211.81/212.12 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 211.81/212.12 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 211.81/212.12 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 211.81/212.12 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 211.81/212.12 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (g x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (g x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (g x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (g x))
% 211.81/212.12 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 211.81/212.12 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b00)
% 211.81/212.12 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 211.81/212.12 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 211.81/212.12 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 211.81/212.12 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 211.81/212.12 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 211.81/212.12 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (g x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (g x))
% 211.81/212.12 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (g x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (g x))
% 213.92/214.22 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 213.92/214.22 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b00)
% 213.92/214.22 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b00)
% 213.92/214.22 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b00)
% 213.92/214.22 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b00)
% 213.92/214.22 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 213.92/214.22 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found eq_ref00:=(eq_ref0 (f x)):(((eq fofType) (f x)) (f x))
% 213.92/214.22 Found (eq_ref0 (f x)) as proof of (((eq fofType) (f x)) b00)
% 213.92/214.22 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 213.92/214.22 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 213.92/214.22 Found ((eq_ref fofType) (f x)) as proof of (((eq fofType) (f x)) b00)
% 213.92/214.22 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 213.92/214.22 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (h x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (g x))
% 213.92/214.22 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 213.92/214.22 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 213.92/214.22 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (g x))
% 213.92/214.22 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 213.92/214.22 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 213.92/214.22 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 213.92/214.22 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 213.92/214.22 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 213.92/214.22 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 213.92/214.22 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 213.92/214.22 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 213.92/214.22 Found (eq_ref00 P1) as proof of (P2 (h x))
% 213.92/214.22 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 213.92/214.22 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (g x))
% 216.17/216.48 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 216.17/216.48 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 216.17/216.48 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 216.17/216.48 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 216.17/216.48 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 216.17/216.48 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (h x))
% 216.17/216.48 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (g x))
% 216.17/216.48 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (g x))
% 216.17/216.48 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (h x))
% 216.17/216.48 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (h x))
% 216.17/216.48 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (g x))
% 216.17/216.48 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (h x))
% 216.17/216.48 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (h x))
% 216.17/216.48 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 216.17/216.48 Found (eq_ref00 P1) as proof of (P2 (h x))
% 216.17/216.48 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 216.17/216.48 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 220.76/221.08 Found (eq_ref00 P1) as proof of (P2 (g x))
% 220.76/221.08 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 220.76/221.08 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 220.76/221.08 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 220.76/221.08 Found eq_ref000:=(eq_ref00 P1):((P1 (g x))->(P1 (g x)))
% 220.76/221.08 Found (eq_ref00 P1) as proof of (P2 (g x))
% 220.76/221.08 Found ((eq_ref0 (g x)) P1) as proof of (P2 (g x))
% 220.76/221.08 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 220.76/221.08 Found (((eq_ref fofType) (g x)) P1) as proof of (P2 (g x))
% 220.76/221.08 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 220.76/221.08 Found (eq_ref00 P1) as proof of (P2 (h x))
% 220.76/221.08 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 220.76/221.08 Found (eq_ref00 P1) as proof of (P2 (h x))
% 220.76/221.08 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found eq_ref000:=(eq_ref00 P1):((P1 (h x))->(P1 (h x)))
% 220.76/221.08 Found (eq_ref00 P1) as proof of (P2 (h x))
% 220.76/221.08 Found ((eq_ref0 (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found (((eq_ref fofType) (h x)) P1) as proof of (P2 (h x))
% 220.76/221.08 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 220.76/221.08 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 220.76/221.08 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 220.76/221.08 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 220.76/221.08 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 220.76/221.08 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 220.76/221.08 Found (eq_ref0 a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) x)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 220.76/221.08 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 220.76/221.08 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 220.76/221.08 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 220.76/221.08 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 220.76/221.08 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 238.67/239.02 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 238.67/239.02 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 238.67/239.02 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 238.67/239.02 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 238.67/239.02 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 238.67/239.02 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 238.67/239.02 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 238.67/239.02 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 238.67/239.02 Found (eq_ref00 P) as proof of (P0 h)
% 238.67/239.02 Found ((eq_ref0 h) P) as proof of (P0 h)
% 238.67/239.02 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 238.67/239.02 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 238.67/239.02 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 238.67/239.02 Found (eq_ref00 P) as proof of (P0 b0)
% 238.67/239.02 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 238.67/239.02 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 238.67/239.02 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 238.67/239.02 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 238.67/239.02 Found (eq_ref00 P) as proof of (P0 h)
% 238.67/239.02 Found ((eq_ref0 h) P) as proof of (P0 h)
% 238.67/239.02 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 238.67/239.02 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 238.67/239.02 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 b0)
% 247.78/248.11 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 b0)
% 247.78/248.11 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 h)
% 247.78/248.11 Found ((eq_ref0 h) P) as proof of (P0 h)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 g)
% 247.78/248.11 Found ((eq_ref0 g) P) as proof of (P0 g)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 b0)
% 247.78/248.11 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 b0)
% 247.78/248.11 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 b0)
% 247.78/248.11 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) b0) P) as proof of (P0 b0)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P g)->(P g))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 g)
% 247.78/248.11 Found ((eq_ref0 g) P) as proof of (P0 g)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) g) P) as proof of (P0 g)
% 247.78/248.11 Found eq_ref000:=(eq_ref00 P):((P h)->(P h))
% 247.78/248.11 Found (eq_ref00 P) as proof of (P0 h)
% 247.78/248.11 Found ((eq_ref0 h) P) as proof of (P0 h)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 247.78/248.11 Found (((eq_ref (fofType->fofType)) h) P) as proof of (P0 h)
% 247.78/248.11 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 247.78/248.11 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 247.78/248.11 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 247.78/248.11 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 247.78/248.11 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 247.78/248.11 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 247.78/248.11 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 247.78/248.11 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 247.78/248.11 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 254.45/254.78 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 254.45/254.78 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 254.45/254.78 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 254.45/254.78 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 254.45/254.78 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 254.45/254.78 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 254.45/254.78 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 254.45/254.78 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 b0)
% 254.45/254.78 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 b0)
% 254.45/254.78 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 b0)
% 254.45/254.78 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 b0)
% 254.45/254.78 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 b0)
% 254.45/254.78 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 b0)
% 254.45/254.78 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 254.45/254.78 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 254.45/254.78 Found (eq_ref00 P) as proof of (P0 (f x))
% 263.80/264.11 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 263.80/264.11 Found (eq_ref00 P) as proof of (P0 (f x))
% 263.80/264.11 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 263.80/264.11 Found (eq_ref00 P) as proof of (P0 (g x))
% 263.80/264.11 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 263.80/264.11 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 263.80/264.11 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 263.80/264.11 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 263.80/264.11 Found (eq_ref00 P) as proof of (P0 (f x))
% 263.80/264.11 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found eq_ref000:=(eq_ref00 P):((P (f x))->(P (f x)))
% 263.80/264.11 Found (eq_ref00 P) as proof of (P0 (f x))
% 263.80/264.11 Found ((eq_ref0 (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found (((eq_ref fofType) (f x)) P) as proof of (P0 (f x))
% 263.80/264.11 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 263.80/264.11 Found (eq_ref00 P) as proof of (P0 (g x))
% 263.80/264.11 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 263.80/264.11 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 263.80/264.11 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 263.80/264.11 Found eq_ref00:=(eq_ref0 b1):(((eq (fofType->fofType)) b1) b1)
% 263.80/264.11 Found (eq_ref0 b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (fofType->fofType)) b0) (fun (x:fofType)=> (b0 x)))
% 263.80/264.11 Found (eta_expansion_dep00 b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found eq_ref00:=(eq_ref0 b1):(((eq (fofType->fofType)) b1) b1)
% 263.80/264.11 Found (eq_ref0 b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) f)
% 263.80/264.11 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (fofType->fofType)) b0) (fun (x:fofType)=> (b0 x)))
% 263.80/264.11 Found (eta_expansion_dep00 b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 263.80/264.11 Found eq_ref00:=(eq_ref0 b1):(((eq (fofType->fofType)) b1) b1)
% 263.80/264.11 Found (eq_ref0 b1) as proof of (((eq (fofType->fofType)) b1) g)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) g)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) g)
% 263.80/264.11 Found ((eq_ref (fofType->fofType)) b1) as proof of (((eq (fofType->fofType)) b1) g)
% 263.80/264.11 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq (fofType->fofType)) b0) (fun (x:fofType)=> (b0 x)))
% 263.80/264.11 Found (eta_expansion_dep00 b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 271.00/271.33 Found ((eta_expansion_dep0 (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 271.00/271.33 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 271.00/271.33 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 271.00/271.33 Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> fofType)) b0) as proof of (((eq (fofType->fofType)) b0) b1)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P g))):((P g)->(P g))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P g))) as proof of (P0 g)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found x0:=(x (fun (x0:fofType)=> (P f))):((P f)->(P f))
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found (x (fun (x0:fofType)=> (P f))) as proof of (P0 f)
% 271.00/271.33 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 271.00/271.33 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 271.00/271.33 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 271.00/271.33 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 271.00/271.33 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 271.00/271.33 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 271.00/271.33 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 271.00/271.33 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 271.00/271.33 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 271.00/271.33 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 271.00/271.33 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 285.85/286.19 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 285.85/286.19 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 285.85/286.19 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 285.85/286.19 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) h)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 g):(((eq (fofType->fofType)) g) g)
% 285.85/286.19 Found (eq_ref0 g) as proof of (((eq (fofType->fofType)) g) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) g) as proof of (((eq (fofType->fofType)) g) b0)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 b0):(((eq (fofType->fofType)) b0) b0)
% 285.85/286.19 Found (eq_ref0 b0) as proof of (((eq (fofType->fofType)) b0) g)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) b0) as proof of (((eq (fofType->fofType)) b0) g)
% 285.85/286.19 Found eq_ref00:=(eq_ref0 f):(((eq (fofType->fofType)) f) f)
% 285.85/286.19 Found (eq_ref0 f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found ((eq_ref (fofType->fofType)) f) as proof of (((eq (fofType->fofType)) f) b0)
% 285.85/286.19 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 285.85/286.19 Found (eq_ref00 P) as proof of (P0 (h x))
% 285.85/286.19 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 285.85/286.19 Found (eq_ref00 P) as proof of (P0 (g x))
% 285.85/286.19 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 285.85/286.19 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 285.85/286.19 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 285.85/286.19 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 285.85/286.19 Found (eq_ref00 P) as proof of (P0 (h x))
% 285.85/286.19 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 285.85/286.19 Found (eq_ref00 P) as proof of (P0 (g x))
% 285.85/286.19 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 285.85/286.19 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 285.85/286.19 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 285.85/286.19 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 285.85/286.19 Found (eq_ref00 P) as proof of (P0 (h x))
% 285.85/286.19 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 285.85/286.19 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (h x))
% 289.92/290.28 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (h x))
% 289.92/290.28 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (g x))
% 289.92/290.28 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 289.92/290.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 289.92/290.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (h x))
% 289.92/290.28 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (h x))
% 289.92/290.28 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (h x))->(P (h x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (h x))
% 289.92/290.28 Found ((eq_ref0 (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found (((eq_ref fofType) (h x)) P) as proof of (P0 (h x))
% 289.92/290.28 Found eq_ref000:=(eq_ref00 P):((P (g x))->(P (g x)))
% 289.92/290.28 Found (eq_ref00 P) as proof of (P0 (g x))
% 289.92/290.28 Found ((eq_ref0 (g x)) P) as proof of (P0 (g x))
% 289.92/290.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 289.92/290.28 Found (((eq_ref fofType) (g x)) P) as proof of (P0 (g x))
% 289.92/290.28 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 289.92/290.28 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 289.92/290.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 289.92/290.28 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 289.92/290.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 289.92/290.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 289.92/290.28 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 289.92/290.28 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 289.92/290.28 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 289.92/290.28 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 289.92/290.28 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 292.77/293.10 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 292.77/293.10 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 292.77/293.10 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 292.77/293.10 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 292.77/293.10 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 292.77/293.10 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 292.77/293.10 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 292.77/293.10 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.77/293.10 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 292.77/293.10 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 294.95/295.30 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 294.95/295.30 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 294.95/295.30 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 294.95/295.30 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 294.95/295.30 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 294.95/295.30 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 294.95/295.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.95/295.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 294.95/295.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 296.29/296.65 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 296.29/296.65 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 296.29/296.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 296.29/296.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 296.29/296.65 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 296.29/296.65 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 296.29/296.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 296.29/296.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 296.29/296.65 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 296.29/296.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 296.29/296.65 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 296.29/296.65 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 296.29/296.65 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 296.29/296.65 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 296.29/296.65 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 296.29/296.65 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 299.96/300.29 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 299.96/300.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 299.96/300.29 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 299.96/300.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 299.96/300.29 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 299.96/300.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 299.96/300.29 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 299.96/300.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (g x)):(((eq fofType) (g x)) (g x))
% 299.96/300.29 Found (eq_ref0 (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (g x)) as proof of (((eq fofType) (g x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 299.96/300.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (f x))
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 299.96/300.29 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 299.96/300.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (g x))
% 299.96/300.29 Found eq_ref00:=(eq_ref0 (h x)):(((eq fofType) (h x)) (h x))
% 299.96/300.29 Found (eq_ref0 (h x)) as proof of (((eq fofType) (h x)) b0)
% 299.96/300.29 Found ((eq_ref fofType) (h
%------------------------------------------------------------------------------