TSTP Solution File: SEV374^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEV374^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n107.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:34:06 EDT 2014
% Result : Timeout 300.02s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEV374^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n107.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 08:59:11 CDT 2014
% % CPUTime : 300.02
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x1fe2200>, <kernel.Constant object at 0x1fe2050>) of role type named f
% Using role type
% Declaring f:fofType
% FOF formula (<kernel.Constant object at 0x1fc1cb0>, <kernel.DependentProduct object at 0x1fe2878>) of role type named cGVB_COMPOSE
% Using role type
% Declaring cGVB_COMPOSE:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1fe21b8>, <kernel.DependentProduct object at 0x1fe2200>) of role type named cGVB_IN
% Using role type
% Declaring cGVB_IN:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1fe2440>, <kernel.DependentProduct object at 0x1fe2cf8>) of role type named cGVB_M
% Using role type
% Declaring cGVB_M:(fofType->Prop)
% FOF formula ((ex fofType) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) of role conjecture named cTHM15B_EXISTS_2
% Conjecture to prove = ((ex fofType) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))):Prop
% We need to prove ['((ex fofType) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))']
% Parameter fofType:Type.
% Parameter f:fofType.
% Parameter cGVB_COMPOSE:(fofType->(fofType->fofType)).
% Parameter cGVB_IN:(fofType->(fofType->Prop)).
% Parameter cGVB_M:(fofType->Prop).
% Trying to prove ((ex fofType) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found eta_expansion000:=(eta_expansion00 (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))):(((eq (fofType->Prop)) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) (fun (x:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (eta_expansion00 (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) as proof of (((eq (fofType->Prop)) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) b)
% Found ((eta_expansion0 Prop) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) as proof of (((eq (fofType->Prop)) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) b)
% Found (((eta_expansion fofType) Prop) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) as proof of (((eq (fofType->Prop)) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) b)
% Found (((eta_expansion fofType) Prop) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) as proof of (((eq (fofType->Prop)) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) b)
% Found (((eta_expansion fofType) Prop) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) as proof of (((eq (fofType->Prop)) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))) b)
% Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) x)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found eta_expansion000:=(eta_expansion00 a):(((eq (fofType->Prop)) a) (fun (x:fofType)=> (a x)))
% Found (eta_expansion00 a) as proof of (((eq (fofType->Prop)) a) b)
% Found ((eta_expansion0 Prop) a) as proof of (((eq (fofType->Prop)) a) b)
% Found (((eta_expansion fofType) Prop) a) as proof of (((eq (fofType->Prop)) a) b)
% Found (((eta_expansion fofType) Prop) a) as proof of (((eq (fofType->Prop)) a) b)
% Found (((eta_expansion fofType) Prop) a) as proof of (((eq (fofType->Prop)) a) b)
% Found eta_expansion000:=(eta_expansion00 b):(((eq (fofType->Prop)) b) (fun (x:fofType)=> (b x)))
% Found (eta_expansion00 b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found ((eta_expansion0 Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (((eta_expansion fofType) Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (((eta_expansion fofType) Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (((eta_expansion fofType) Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found eta_expansion000:=(eta_expansion00 b):(((eq (fofType->Prop)) b) (fun (x:fofType)=> (b x)))
% Found (eta_expansion00 b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found ((eta_expansion0 Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (((eta_expansion fofType) Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (((eta_expansion fofType) Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found (((eta_expansion fofType) Prop) b) as proof of (((eq (fofType->Prop)) b) (fun (P:fofType)=> (forall (Xg:fofType), ((cGVB_M Xg)->((iff ((cGVB_IN Xg) P)) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))):(((eq Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x)))
% Found (eq_ref0 ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) as proof of (((eq Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) b)
% Found ((eq_ref Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) as proof of (((eq Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) b)
% Found ((eq_ref Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) as proof of (((eq Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) b)
% Found ((eq_ref Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) as proof of (((eq Prop) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x))) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))):(((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found (eq_ref0 (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found ((eq_ref Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found ((eq_ref Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found ((eq_ref Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq (fofType->Prop)) b) b)
% Found (eq_ref0 b) as proof of (((eq (fofType->Prop)) b) b0)
% Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found ((eq_ref (fofType->Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: x:=((cGVB_COMPOSE f) Xg):fofType;b:=((cGVB_COMPOSE Xg) f):fofType
% Found x00 as proof of (((eq fofType) x) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b)
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: x:=((cGVB_COMPOSE f) Xg):fofType;b:=((cGVB_COMPOSE Xg) f):fofType
% Found x00 as proof of (((eq fofType) x) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b)
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P0 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P0 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq (fofType->Prop)) b) (fun (x:fofType)=> (b x)))
% Found (eta_expansion_dep00 b) as proof of (((eq (fofType->Prop)) b) b0)
% Found ((eta_expansion_dep0 (fun (x1:fofType)=> Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found (((eta_expansion_dep fofType) (fun (x1:fofType)=> Prop)) b) as proof of (((eq (fofType->Prop)) b) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:fofType), (((eq Prop) (f1 x)) (f0 x)))
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found eta_expansion:=(fun (A:Type) (B:Type)=> ((eta_expansion_dep A) (fun (x1:A)=> B))):(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x))))
% Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% Found eta_expansion as proof of b
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found iff_sym0:=(iff_sym (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))):(forall (B:Prop), (((iff (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))) B)->((iff B) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))
% Instantiate: b:=(forall (B:Prop), (((iff (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))) B)->((iff B) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))):Prop
% Found iff_sym0 as proof of b
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% Found (eq_ref0 b) as proof of (((eq Prop) b) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x)))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x)))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x)))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))->((cGVB_IN Xg) x)))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))):(((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found (eq_ref0 (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found ((eq_ref Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found ((eq_ref Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found ((eq_ref Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) as proof of (((eq Prop) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P0 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% Found (eq_ref0 b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P0 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: a:=((cGVB_COMPOSE f) Xg):fofType;b:=((cGVB_COMPOSE Xg) f):fofType
% Found x00 as proof of (((eq fofType) a) b)
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: x:=((cGVB_COMPOSE Xg) f):fofType;b:=((cGVB_COMPOSE f) Xg):fofType
% Found x00 as proof of (((eq fofType) b) x)
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: x:=((cGVB_COMPOSE f) Xg):fofType;b:=((cGVB_COMPOSE Xg) f):fofType
% Found x00 as proof of (((eq fofType) x) b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) x)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) x)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: a:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 a)
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b)
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: x:=((cGVB_COMPOSE Xg) f):fofType;b:=((cGVB_COMPOSE f) Xg):fofType
% Found x00 as proof of (((eq fofType) b) x)
% Found x00:(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))
% Instantiate: a:=((cGVB_COMPOSE f) Xg):fofType;b:=((cGVB_COMPOSE Xg) f):fofType
% Found x00 as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: a:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P2 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P2 b))=> x1) as proof of (P2 ((cGVB_COMPOSE f) Xg))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P2 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P2 b))=> x1) as proof of (P2 ((cGVB_COMPOSE f) Xg))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P0 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b)
% Found x1:(P b)
% Found x1 as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x1:(P1 ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P2 b)
% Found x1:(P1 ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found x1:(P b)
% Instantiate: b0:=b:fofType
% Found x1 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: a:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P2 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P2 b))=> x1) as proof of (P2 ((cGVB_COMPOSE f) Xg))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P2 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P2 b))=> x1) as proof of (P2 ((cGVB_COMPOSE f) Xg))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b)
% Found x20:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x20:(P1 ((cGVB_COMPOSE Xg) f)))=> x20) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x20:(P1 ((cGVB_COMPOSE Xg) f)))=> x20) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P b)
% Found x1 as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x1:(P1 ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P2 b)
% Found x1:(P1 ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE Xg) f))
% Found x1:(P b)
% Instantiate: b0:=b:fofType
% Found x1 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 b0)
% Instantiate: b0:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b0))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 b0)
% Instantiate: b0:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b0))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of (P b0)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: a:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x20:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x20:(P1 ((cGVB_COMPOSE Xg) f)))=> x20) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x20:(P1 ((cGVB_COMPOSE Xg) f)))=> x20) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ex_intro0:=(ex_intro fofType):(forall (P:(fofType->Prop)) (x:fofType), ((P x)->((ex fofType) P)))
% Instantiate: a:=(forall (P:(fofType->Prop)) (x:fofType), ((P x)->((ex fofType) P))):Prop
% Found ex_intro0 as proof of a
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found x10:(P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Found x1 as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b0:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b0)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b0:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found x1:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of ((P0 ((cGVB_COMPOSE f) Xg))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x10:(P0 b)
% Found (fun (x10:(P0 b))=> x10) as proof of (P0 b)
% Found (fun (x10:(P0 b))=> x10) as proof of (P1 b)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 b0)
% Instantiate: b0:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b0))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 b0)
% Instantiate: b0:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b0))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of ((P0 b0)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of (P b0)
% Found iff_sym0:=(iff_sym (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))):(forall (B:Prop), (((iff (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))) B)->((iff B) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f)))))
% Instantiate: b:=(forall (B:Prop), (((iff (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))) B)->((iff B) (((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))):Prop
% Found iff_sym0 as proof of b
% Found classical_choice:=(fun (A:Type) (B:Type) (R:(A->(B->Prop))) (b:B)=> ((fun (C:((forall (x:A), ((ex B) (fun (y:B)=> (((fun (x0:A) (y0:B)=> (((ex B) (fun (z:B)=> ((R x0) z)))->((R x0) y0))) x) y))))->((ex (A->B)) (fun (f:(A->B))=> (forall (x:A), (((fun (x0:A) (y:B)=> (((ex B) (fun (z:B)=> ((R x0) z)))->((R x0) y))) x) (f x)))))))=> (C (fun (x:A)=> ((fun (C0:((or ((ex B) (fun (z:B)=> ((R x) z)))) (not ((ex B) (fun (z:B)=> ((R x) z))))))=> ((((((or_ind ((ex B) (fun (z:B)=> ((R x) z)))) (not ((ex B) (fun (z:B)=> ((R x) z))))) ((ex B) (fun (y:B)=> (((ex B) (fun (z:B)=> ((R x) z)))->((R x) y))))) ((((ex_ind B) (fun (z:B)=> ((R x) z))) ((ex B) (fun (y:B)=> (((ex B) (fun (z:B)=> ((R x) z)))->((R x) y))))) (fun (y:B) (H:((R x) y))=> ((((ex_intro B) (fun (y0:B)=> (((ex B) (fun (z:B)=> ((R x) z)))->((R x) y0)))) y) (fun (_:((ex B) (fun (z:B)=> ((R x) z))))=> H))))) (fun (N:(not ((ex B) (fun (z:B)=> ((R x) z)))))=> ((((ex_intro B) (fun (y:B)=> (((ex B) (fun (z:B)=> ((R x) z)))->((R x) y)))) b) (fun (H:((ex B) (fun (z:B)=> ((R x) z))))=> ((False_rect ((R x) b)) (N H)))))) C0)) (classic ((ex B) (fun (z:B)=> ((R x) z)))))))) (((choice A) B) (fun (x:A) (y:B)=> (((ex B) (fun (z:B)=> ((R x) z)))->((R x) y)))))):(forall (A:Type) (B:Type) (R:(A->(B->Prop))), (B->((ex (A->B)) (fun (f:(A->B))=> (forall (x:A), (((ex B) (fun (y:B)=> ((R x) y)))->((R x) (f x))))))))
% Instantiate: a:=(forall (A:Type) (B:Type) (R:(A->(B->Prop))), (B->((ex (A->B)) (fun (f:(A->B))=> (forall (x:A), (((ex B) (fun (y:B)=> ((R x) y)))->((R x) (f x)))))))):Prop
% Found classical_choice as proof of a
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f1 x)))
% Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found (fun (x:fofType)=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f1 x)))
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x10:(P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found x1:(P b)
% Found x1 as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b0:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b0)
% Found x1:(P b)
% Instantiate: b0:=b:fofType
% Found x1 as proof of (P0 b0)
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x1:(P0 b0)
% Instantiate: b0:=((cGVB_COMPOSE Xg) f):fofType
% Found (fun (x1:(P0 b0))=> x1) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of ((P0 b0)->(P0 ((cGVB_COMPOSE Xg) f)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 b)
% Instantiate: b0:=b:fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b0)
% Found x0:(P2 (f0 x))
% Instantiate: f1:=f0:(fofType->Prop)
% Found (fun (x0:(P2 (f0 x)))=> x0) as proof of (P2 (f1 x))
% Found (fun (P2:(Prop->Prop)) (x0:(P2 (f0 x)))=> x0) as proof of ((P2 (f0 x))->(P2 (f1 x)))
% Found (fun (x:fofType) (P2:(Prop->Prop)) (x0:(P2 (f0 x)))=> x0) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found (fun (x:fofType) (P2:(Prop->Prop)) (x0:(P2 (f0 x)))=> x0) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f1 x)))
% Found x0:(P2 (f0 x))
% Instantiate: f1:=f0:(fofType->Prop)
% Found (fun (x0:(P2 (f0 x)))=> x0) as proof of (P2 (f1 x))
% Found (fun (P2:(Prop->Prop)) (x0:(P2 (f0 x)))=> x0) as proof of ((P2 (f0 x))->(P2 (f1 x)))
% Found (fun (x:fofType) (P2:(Prop->Prop)) (x0:(P2 (f0 x)))=> x0) as proof of (((eq Prop) (f0 x)) (f1 x))
% Found (fun (x:fofType) (P2:(Prop->Prop)) (x0:(P2 (f0 x)))=> x0) as proof of (forall (x:fofType), (((eq Prop) (f0 x)) (f1 x)))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found x1:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of ((P0 ((cGVB_COMPOSE f) Xg))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found x1:(P b)
% Instantiate: b0:=b:fofType
% Found x1 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) f)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found x10:(P0 b)
% Found (fun (x10:(P0 b))=> x10) as proof of (P0 b)
% Found (fun (x10:(P0 b))=> x10) as proof of (P1 b)
% Found x10:(P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x10:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P1 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x10:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P1 ((cGVB_COMPOSE f) Xg))
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: a:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 ((cGVB_COMPOSE Xg) f))
% Found (fun (x1:(P0 ((cGVB_COMPOSE Xg) f)))=> x1) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE Xg) f)))=> x1) as proof of ((P0 ((cGVB_COMPOSE Xg) f))->(P0 ((cGVB_COMPOSE Xg) f)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE Xg) f)))=> x1) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found x1:(P ((cGVB_COMPOSE Xg) f))
% Instantiate: b:=((cGVB_COMPOSE Xg) f):fofType
% Found x1 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% Found (eq_ref0 b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((cGVB_IN Xg) x)->(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE Xg) f))))
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found x10:(P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% Found x10:(P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P1 ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P1 ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P2 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found x1:(P0 b0)
% Instantiate: b0:=((cGVB_COMPOSE Xg) f):fofType
% Found (fun (x1:(P0 b0))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b0))=> x1) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 ((cGVB_COMPOSE f) Xg))
% Instantiate: b0:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of ((P0 ((cGVB_COMPOSE f) Xg))->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE f) Xg)))=> x1) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x10:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P1 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: b0:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b00)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b00)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b00)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x10:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P1 ((cGVB_COMPOSE f) Xg))
% Found x10:(P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P0 ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P1 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x1:(P ((cGVB_COMPOSE f) Xg))
% Instantiate: a:=((cGVB_COMPOSE f) Xg):fofType
% Found x1 as proof of (P0 a)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found x10:(P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P b0)
% Found (fun (x10:(P b0))=> x10) as proof of (P0 b0)
% Found x10:(P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found (fun (x10:(P ((cGVB_COMPOSE Xg) f)))=> x10) as proof of (P0 ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P2 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P2 b))=> x1) as proof of (P2 ((cGVB_COMPOSE f) Xg))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P2 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P2 b))=> x1) as proof of (P2 ((cGVB_COMPOSE f) Xg))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of ((P2 b)->(P2 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P2:(fofType->Prop)) (x1:(P2 b))=> x1) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b)
% Found x1:(P0 b)
% Instantiate: b:=((cGVB_COMPOSE f) Xg):fofType
% Found (fun (x1:(P0 b))=> x1) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of ((P0 b)->(P0 ((cGVB_COMPOSE f) Xg)))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 b))=> x1) as proof of (P b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found x1:(P0 ((cGVB_COMPOSE Xg) f))
% Found (fun (x1:(P0 ((cGVB_COMPOSE Xg) f)))=> x1) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE Xg) f)))=> x1) as proof of ((P0 ((cGVB_COMPOSE Xg) f))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x1:(P0 ((cGVB_COMPOSE Xg) f)))=> x1) as proof of (P ((cGVB_COMPOSE Xg) f))
% Found x1:(P b)
% Found x1 as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found x10:(P b)
% Found (fun (x10:(P b))=> x10) as proof of (P b)
% Found (fun (x10:(P b))=> x10) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b1)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE Xg) f)):(((eq fofType) ((cGVB_COMPOSE Xg) f)) ((cGVB_COMPOSE Xg) f))
% Found (eq_ref0 ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE Xg) f)) as proof of (((eq fofType) ((cGVB_COMPOSE Xg) f)) b0)
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((cGVB_COMPOSE Xg) f))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xg)
% Found x10:(P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P ((cGVB_COMPOSE f) Xg))
% Found (fun (x10:(P ((cGVB_COMPOSE f) Xg)))=> x10) as proof of (P0 ((cGVB_COMPOSE f) Xg))
% Found eq_ref00:=(eq_ref0 ((cGVB_COMPOSE f) Xg)):(((eq fofType) ((cGVB_COMPOSE f) Xg)) ((cGVB_COMPOSE f) Xg))
% Found (eq_ref0 ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found ((eq_ref fofType) ((cGVB_COMPOSE f) Xg)) as proof of (((eq fofType) ((cGVB_COMPOSE f) Xg)) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fo
% EOF
%------------------------------------------------------------------------------