TSTP Solution File: SYO269^5 by cocATP---0.2.0

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO269^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Tue Mar 29 00:51:02 EDT 2022

% Result   : Timeout 287.28s 287.72s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYO269^5 : TPTP v7.5.0. Released v4.0.0.
% 0.08/0.12  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer   : n019.cluster.edu
% 0.13/0.34  % Model      : x86_64 x86_64
% 0.13/0.34  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % RAMPerCPU  : 8042.1875MB
% 0.13/0.34  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % DateTime   : Fri Mar 11 23:45:57 EST 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35  Python 2.7.5
% 6.07/6.22  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 6.07/6.22  FOF formula (forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_9:((fofType->fofType)->(fofType->Prop)))=> ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_10:((fofType->fofType)->(fofType->Prop)))=> ((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> Xx)) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> Xx)) Xw_1)))) (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and ((and (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1)))) (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1))))) (forall (Xw_1:fofType), ((or ((Xm_9 H) Xw_1)) ((Xm_10 H) Xw_1))))->((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))))))))) of role conjecture named cTHM112D
% 6.07/6.22  Conjecture to prove = (forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_9:((fofType->fofType)->(fofType->Prop)))=> ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_10:((fofType->fofType)->(fofType->Prop)))=> ((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> Xx)) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> Xx)) Xw_1)))) (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and ((and (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1)))) (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1))))) (forall (Xw_1:fofType), ((or ((Xm_9 H) Xw_1)) ((Xm_10 H) Xw_1))))->((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))))))))):Prop
% 6.07/6.22  Parameter fofType_DUMMY:fofType.
% 6.07/6.22  We need to prove ['(forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_9:((fofType->fofType)->(fofType->Prop)))=> ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_10:((fofType->fofType)->(fofType->Prop)))=> ((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> Xx)) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> Xx)) Xw_1)))) (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and ((and (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1)))) (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1))))) (forall (Xw_1:fofType), ((or ((Xm_9 H) Xw_1)) ((Xm_10 H) Xw_1))))->((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))))))))))']
% 6.07/6.22  Parameter fofType:Type.
% 6.07/6.22  Trying to prove (forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_9:((fofType->fofType)->(fofType->Prop)))=> ((ex ((fofType->fofType)->(fofType->Prop))) (fun (Xm_10:((fofType->fofType)->(fofType->Prop)))=> ((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> Xx)) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> Xx)) Xw_1)))) (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and ((and (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1)))) (forall (Xw_1:fofType), ((or ((Xm_9 G) Xw_1)) ((Xm_10 G) Xw_1))))) (forall (Xw_1:fofType), ((or ((Xm_9 H) Xw_1)) ((Xm_10 H) Xw_1))))->((and (forall (Xw_1:fofType), ((or ((Xm_9 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((Xm_10 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))))))))))
% 6.07/6.22  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_10)->((or ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 6.07/6.22  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 6.07/6.22  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 6.07/6.22  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found or_intror00:=(or_intror0 ((x H) Xw_10)):(((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)))
% 8.40/8.60  Found (or_intror0 ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found or_intror00:=(or_intror0 ((x H) Xw_10)):(((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)))
% 8.40/8.60  Found (or_intror0 ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_10)->((or ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 8.40/8.60  Found x100:=(x10 Xw_1):((or ((x H) Xw_1)) ((x0 H) Xw_1))
% 8.40/8.60  Found x100 as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 8.40/8.60  Found x100 as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 8.40/8.60  Found (or_comm_i00 x100) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 8.40/8.60  Found ((or_comm_i0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 8.40/8.60  Found (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 8.40/8.60  Found (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 8.48/8.68  Found (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)) as proof of (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 8.48/8.68  Found (conj10 (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found ((conj1 ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found conj010:=(conj01 ((x0 H) Xw_1)):(((x0 H) Xw_1)->((and (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> Xx)) Xw_10)) ((x0 (fun (Xx:fofType)=> Xx)) Xw_10)))) ((x0 H) Xw_1)))
% 8.48/8.68  Found (conj01 ((x0 H) Xw_1)) as proof of (((x0 H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found ((fun (B:Prop)=> ((conj0 B) x10)) ((x0 H) Xw_1)) as proof of (((x0 H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found ((fun (B:Prop)=> ((conj0 B) x10)) ((x0 H) Xw_1)) as proof of (((x0 H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 8.48/8.68  Found ((or_ind00 (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)))) ((fun (B:Prop)=> ((conj0 B) x10)) ((x0 H) Xw_1))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 8.48/8.68  Found (((or_ind0 ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)))) ((fun (B:Prop)=> ((conj0 B) x10)) ((x0 H) Xw_1))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 10.15/10.31  Found ((((fun (P0:Prop) (x2:(((x H) Xw_1)->P0)) (x3:(((x0 H) Xw_1)->P0))=> ((((((or_ind ((x H) Xw_1)) ((x0 H) Xw_1)) P0) x2) x3) x100)) ((and (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)))) ((fun (B:Prop)=> ((conj0 B) x10)) ((x0 H) Xw_1))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 10.15/10.31  Found or_intror00:=(or_intror0 ((x H) Xw_10)):(((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)))
% 10.15/10.31  Found (or_intror0 ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_10)->((or ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found or_intror00:=(or_intror0 ((x G) Xw_10)):(((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)))
% 10.15/10.31  Found (or_intror0 ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.15/10.31  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_10)->((or ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found or_intror00:=(or_intror0 ((x G) Xw_10)):(((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)))
% 10.31/10.47  Found (or_intror0 ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_10)->((or ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 10.31/10.47  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 10.31/10.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found or_intror00:=(or_intror0 ((x G) Xw_10)):(((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)))
% 13.47/13.65  Found (or_intror0 ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_10)->((or ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found or_intror00:=(or_intror0 ((x H) Xw_10)):(((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)))
% 13.47/13.65  Found (or_intror0 ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_10)->((or ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 13.47/13.65  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_10)->((or ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found or_intror00:=(or_intror0 ((x G) Xw_10)):(((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)))
% 14.45/14.63  Found (or_intror0 ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 14.45/14.63  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 14.45/14.63  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 14.45/14.63  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 16.76/16.95  Found x100:=(x10 Xw_1):((or ((x H) Xw_1)) ((x0 H) Xw_1))
% 16.76/16.95  Found x100 as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 16.76/16.95  Found x100 as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 16.76/16.95  Found (or_comm_i00 x100) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 16.76/16.95  Found ((or_comm_i0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 16.76/16.95  Found (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 16.76/16.95  Found (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 16.76/16.95  Found (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)) as proof of (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 16.76/16.95  Found (conj10 (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 16.76/16.95  Found ((conj1 ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 16.76/16.95  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 16.76/16.95  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 17.15/17.39  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100))) as proof of (((x H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 17.15/17.39  Found conj010:=(conj01 ((x0 H) Xw_1)):(((x0 H) Xw_1)->((and (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> Xx)) Xw_10)) ((x0 (fun (Xx:fofType)=> Xx)) Xw_10)))) ((x0 H) Xw_1)))
% 17.15/17.39  Found (conj01 ((x0 H) Xw_1)) as proof of (((x0 H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 17.15/17.39  Found ((fun (B:Prop)=> ((conj0 B) x11)) ((x0 H) Xw_1)) as proof of (((x0 H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 17.15/17.39  Found ((fun (B:Prop)=> ((conj0 B) x11)) ((x0 H) Xw_1)) as proof of (((x0 H) Xw_1)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 17.15/17.39  Found ((or_ind00 (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)))) ((fun (B:Prop)=> ((conj0 B) x11)) ((x0 H) Xw_1))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 17.15/17.39  Found (((or_ind0 ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)))) ((fun (B:Prop)=> ((conj0 B) x11)) ((x0 H) Xw_1))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 17.15/17.39  Found ((((fun (P0:Prop) (x2:(((x H) Xw_1)->P0)) (x3:(((x0 H) Xw_1)->P0))=> ((((((or_ind ((x H) Xw_1)) ((x0 H) Xw_1)) P0) x2) x3) x100)) ((and (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_10:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))) ((x H) Xw_1)) (fun (Xw_10:fofType)=> (((or_comm_i ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x100)))) ((fun (B:Prop)=> ((conj0 B) x11)) ((x0 H) Xw_1))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 17.15/17.39  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_10)->((or ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.15/17.39  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found or_intror00:=(or_intror0 ((x G) Xw_10)):(((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)))
% 17.30/17.55  Found (or_intror0 ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_10)->((or ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_introl ((x0 H) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found or_intror00:=(or_intror0 ((x H) Xw_10)):(((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)))
% 17.30/17.55  Found (or_intror0 ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_10)) as proof of (((x H) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found or_intror00:=(or_intror0 ((x G) Xw_10)):(((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)))
% 17.30/17.55  Found (or_intror0 ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 17.30/17.55  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_10)) as proof of (((x G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_10)->((or ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x0 G) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_10)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 20.13/20.30  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 20.13/20.30  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 20.13/20.30  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 26.51/26.74  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 26.51/26.74  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 26.51/26.74  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 28.56/28.79  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 28.56/28.79  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.56/28.79  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 28.79/28.97  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 28.79/28.97  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 28.79/28.97  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 32.71/32.95  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 32.71/32.95  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 32.71/32.95  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 32.71/32.95  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 33.43/33.65  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 33.43/33.65  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.43/33.65  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 33.61/33.82  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 33.61/33.82  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.61/33.82  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 33.84/34.05  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_10)->((or ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x G) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found or_intror00:=(or_intror0 ((x0 G) Xw_10)):(((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)))
% 33.84/34.05  Found (or_intror0 ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_10)) as proof of (((x0 G) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_10)->((or ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 33.84/34.05  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_introl ((x H) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found or_intror00:=(or_intror0 ((x0 H) Xw_10)):(((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)))
% 58.93/59.14  Found (or_intror0 ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_10)) as proof of (((x0 H) Xw_10)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found or_intror00:=(or_intror0 ((x H) Xw_100)):(((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_100)))
% 58.93/59.14  Found (or_intror0 ((x H) Xw_100)) as proof of (((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_100)) as proof of (((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_100)) as proof of (((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)))
% 58.93/59.14  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 58.93/59.14  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found x11:((x0 H) Xw_11)
% 60.77/61.01  Found (fun (x11:((x0 H) Xw_11))=> x11) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 60.77/61.01  Found (fun (x11:((x0 H) Xw_11))=> x11) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 60.77/61.01  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_11)))
% 60.77/61.01  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)))
% 60.77/61.01  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)))
% 60.77/61.01  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)))
% 60.77/61.01  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.01  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.02  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)))
% 60.77/61.02  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.02  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.02  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 60.77/61.02  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 60.77/61.02  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 61.01/61.30  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)))
% 61.01/61.30  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 61.01/61.30  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.01/61.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 61.31/61.57  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 61.31/61.57  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 70.21/70.45  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)))
% 70.21/70.45  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 70.21/70.45  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 70.21/70.45  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found x000:((x H) Xw_100)
% 72.31/72.60  Found (fun (x000:((x H) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 72.31/72.60  Found (fun (x000:((x H) Xw_100))=> x000) as proof of (((x H) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 72.31/72.60  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found or_intror00:=(or_intror0 ((x G) Xw_100)):(((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)))
% 72.31/72.60  Found (or_intror0 ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_100)->((or ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_11)))
% 72.31/72.60  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found or_intror00:=(or_intror0 ((x G) Xw_100)):(((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)))
% 72.31/72.60  Found (or_intror0 ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 72.31/72.60  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_100)->((or ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.05  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.05  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.05  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.05  Found or_intror00:=(or_intror0 ((x0 H) Xw_100)):(((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)))
% 79.75/80.05  Found (or_intror0 ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.06  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 79.75/80.06  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)))
% 79.75/80.06  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 79.75/80.06  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)))
% 80.03/80.29  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)))
% 80.03/80.29  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.29  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.03/80.30  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.03/80.30  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.22/80.48  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.22/80.48  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.22/80.48  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.35/80.65  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.35/80.65  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.35/80.65  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.57/80.83  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found or_intror00:=(or_intror0 ((x H) Xw_11)):(((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)))
% 80.57/80.83  Found (or_intror0 ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x H) Xw_11)) as proof of (((x H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 H) Xw_11)->((or ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_introl ((x0 H) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 H) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 80.57/80.83  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 80.57/80.83  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found or_intror00:=(or_intror0 ((x G) Xw_11)):(((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)))
% 86.57/86.85  Found (or_intror0 ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11)) as proof of (((x G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x0 G) Xw_11)->((or ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found ((or_introl ((x0 G) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 86.57/86.85  Found or_intror00:=(or_intror0 ((x H) Xw_100)):(((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_100)))
% 86.57/86.85  Found (or_intror0 ((x H) Xw_100)) as proof of (((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_100)) as proof of (((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 86.57/86.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x H) Xw_100)) as proof of (((x H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 86.57/86.85  Found or_intror00:=(or_intror0 ((x G) Xw_100)):(((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)))
% 90.52/90.85  Found (or_intror0 ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 H) Xw_100)->((or ((x0 H) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_introl ((x0 H) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_introl ((x0 H) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 H) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found or_intror00:=(or_intror0 ((x G) Xw_100)):(((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)))
% 90.52/90.85  Found (or_intror0 ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x G) Xw_100)) as proof of (((x G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_100)->((or ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found or_introl00:=(or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x0 G) Xw_100)->((or ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found (or_introl0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found ((or_introl ((x0 G) Xw_100)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x0 G) Xw_100)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.52/90.85  Found or_introl000:=(or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.52/90.85  Found (or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.52/90.85  Found ((fun (B:Prop)=> ((or_introl0 B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.52/90.85  Found ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.13  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.13  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.83/91.13  Found (conj10 (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.13  Found ((conj1 ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.13  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.13  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.13  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.13  Found x000:((x G) Xw_1)
% 90.83/91.13  Found x000 as proof of (forall (Y:fofType), ((P Y)->(P (G Y))))
% 90.83/91.13  Found or_introl000:=(or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.13  Found (or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.13  Found ((fun (B:Prop)=> ((or_introl0 B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.13  Found ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.13  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.14  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.83/91.14  Found ((conj10 (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found (((conj1 (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000)) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000)) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.14  Found ((or_ind10 (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))))) (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found (((or_ind1 ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))))) (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found ((((fun (P0:Prop) (x2:(((x H) Xw_10)->P0)) (x3:(((x0 H) Xw_10)->P0))=> ((((((or_ind ((x H) Xw_10)) ((x0 H) Xw_10)) P0) x2) x3) x100)) ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))))) (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 90.83/91.14  Found or_introl000:=(or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.14  Found (or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.14  Found ((fun (B:Prop)=> ((or_introl0 B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.14  Found ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.14  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 90.83/91.14  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 90.83/91.14  Found (conj10 (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.14  Found ((conj1 ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 90.83/91.14  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 91.13/91.42  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 91.13/91.42  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 91.13/91.42  Found x000:((x G) Xw_1)
% 91.13/91.42  Found x000 as proof of (forall (Y:fofType), ((P Y)->(P (G Y))))
% 91.13/91.42  Found or_introl000:=(or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 91.13/91.42  Found (or_introl00 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 91.13/91.42  Found ((fun (B:Prop)=> ((or_introl0 B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 91.13/91.42  Found ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 91.13/91.42  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 91.13/91.42  Found (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 91.13/91.42  Found ((conj10 (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 91.13/91.42  Found (((conj1 (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 91.13/91.42  Found ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 91.13/91.42  Found (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000)) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 102.18/102.46  Found (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000)) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 102.18/102.46  Found ((or_ind10 (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))))) (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 102.18/102.46  Found (((or_ind1 ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))))) (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 102.18/102.46  Found ((((fun (P0:Prop) (x2:(((x H) Xw_10)->P0)) (x3:(((x0 H) Xw_10)->P0))=> ((((((or_ind ((x H) Xw_10)) ((x0 H) Xw_10)) P0) x2) x3) x100)) ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x H) Xw_10)) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))))) (fun (x13:((x0 H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> ((fun (B:Prop)=> (((or_introl ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) B) x000)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)))) x000))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 102.18/102.46  Found x11:((x0 H) Xw_11)
% 102.18/102.46  Found (fun (x11:((x0 H) Xw_11))=> x11) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 104.63/104.90  Found (fun (x11:((x0 H) Xw_11))=> x11) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 104.63/104.90  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.63/104.90  Found or_intror000:=(or_intror00 x13):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.63/104.90  Found (or_intror00 x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found ((or_intror0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.94/105.24  Found (conj10 (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 104.94/105.24  Found ((conj1 ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 104.94/105.24  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 104.94/105.24  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 104.94/105.24  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 104.94/105.24  Found x13:((x0 G) Xw_1)
% 104.94/105.24  Found x13 as proof of (forall (Y:fofType), ((P Y)->(P (G Y))))
% 104.94/105.24  Found or_intror000:=(or_intror00 x13):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found (or_intror00 x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found ((or_intror0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.24  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 104.94/105.25  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 104.94/105.25  Found ((conj10 (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 104.94/105.25  Found (((conj1 (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 104.94/105.25  Found ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 104.94/105.25  Found (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13)) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 104.94/105.25  Found (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13)) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 104.94/105.25  Found ((or_ind10 (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 104.94/105.25  Found (((or_ind1 ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 105.02/105.29  Found ((((fun (P0:Prop) (x2:(((x H) Xw_10)->P0)) (x3:(((x0 H) Xw_10)->P0))=> ((((((or_ind ((x H) Xw_10)) ((x0 H) Xw_10)) P0) x2) x3) x100)) ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 105.02/105.29  Found or_intror000:=(or_intror00 x13):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.02/105.29  Found (or_intror00 x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.02/105.29  Found ((or_intror0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.02/105.29  Found (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.02/105.29  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.02/105.29  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 105.02/105.29  Found (conj10 (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 105.02/105.29  Found ((conj1 ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 105.02/105.29  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 105.02/105.29  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 105.34/105.62  Found (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) as proof of (((x0 H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 105.34/105.62  Found x13:((x0 G) Xw_1)
% 105.34/105.62  Found x13 as proof of (forall (Y:fofType), ((P Y)->(P (G Y))))
% 105.34/105.62  Found or_intror000:=(or_intror00 x13):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.34/105.62  Found (or_intror00 x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.34/105.62  Found ((or_intror0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.34/105.62  Found (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.34/105.62  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11))
% 105.34/105.62  Found (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)) as proof of (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 105.34/105.62  Found ((conj10 (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 105.34/105.62  Found (((conj1 (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 105.34/105.62  Found ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 105.34/105.62  Found (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13)) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 105.34/105.62  Found (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13)) as proof of (((x H) Xw_10)->((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 106.41/106.69  Found ((or_ind10 (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 106.41/106.69  Found (((or_ind1 ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 106.41/106.69  Found ((((fun (P0:Prop) (x2:(((x H) Xw_10)->P0)) (x3:(((x0 H) Xw_10)->P0))=> ((((((or_ind ((x H) Xw_10)) ((x0 H) Xw_10)) P0) x2) x3) x100)) ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x000:((x H) Xw_10))=> ((((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y))))) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13))) x13))) (((conj (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) ((x0 H) Xw_10)) (fun (Xw_11:fofType)=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_11)) x13)))) as proof of ((and (forall (Xw_1:fofType), ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 106.41/106.69  Found x000:((x H) Xw_11)
% 106.41/106.69  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 106.41/106.69  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 106.41/106.69  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 106.41/106.69  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.41/106.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.41/106.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.41/106.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 106.80/107.08  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 106.80/107.08  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_11)))
% 106.80/107.08  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 106.80/107.08  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)))
% 107.13/107.41  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 107.13/107.41  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.13/107.41  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.13/107.41  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)))
% 107.32/107.66  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 107.32/107.66  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 107.32/107.66  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 115.72/116.01  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 115.72/116.01  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 115.72/116.01  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 115.72/116.01  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 115.72/116.01  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 115.72/116.01  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_11)))
% 115.72/116.01  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 115.72/116.01  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 115.72/116.01  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 115.72/116.01  Found x000:((x G) Xw_11)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 115.72/116.01  Found x000:((x H) Xw_11)
% 115.72/116.01  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 115.72/116.01  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 115.72/116.01  Found x000:((x G) Xw_11)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 115.72/116.01  Found x000:((x G) Xw_11)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 115.72/116.01  Found x000:((x G) Xw_11)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 115.72/116.01  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 115.72/116.01  Found or_intror000:=(or_intror00 x000):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 115.72/116.01  Found (or_intror00 x000) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 115.72/116.01  Found ((or_intror0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 115.72/116.01  Found (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 115.72/116.01  Found (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 115.72/116.01  Found (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 115.72/116.01  Found ((or_ind10 ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11))) (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found (((or_ind1 ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11))) (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found ((((fun (P0:Prop) (x2:(((x G) Xw_11)->P0)) (x3:(((x0 G) Xw_11)->P0))=> ((((((or_ind ((x G) Xw_11)) ((x0 G) Xw_11)) P0) x2) x3) x121)) ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11))) (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found or_intror000:=(or_intror00 x000):((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found (or_intror00 x000) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found ((or_intror0 ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000)) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000)) as proof of (((x0 G) Xw_11)->((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 136.27/136.57  Found ((or_ind10 ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11))) (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found (((or_ind1 ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11))) (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found ((((fun (P0:Prop) (x2:(((x G) Xw_11)->P0)) (x3:(((x0 G) Xw_11)->P0))=> ((((((or_ind ((x G) Xw_11)) ((x0 G) Xw_11)) P0) x2) x3) x120)) ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) ((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x G) Xw_11))) (fun (x13:((x0 G) Xw_11))=> (((or_intror ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x000))) as proof of ((or ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 136.27/136.57  Found x000:((x H) Xw_100)
% 136.27/136.57  Found (fun (x000:((x H) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 136.27/136.57  Found (fun (x000:((x H) Xw_100))=> x000) as proof of (((x H) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 136.27/136.57  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)))
% 136.55/136.84  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 136.55/136.84  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 136.55/136.84  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 136.55/136.84  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found x000:((x H) Xw_100)
% 141.36/141.69  Found (fun (x000:((x H) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 141.36/141.69  Found (fun (x000:((x H) Xw_100))=> x000) as proof of (((x H) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 141.36/141.69  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)))
% 141.36/141.69  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 141.36/141.69  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 141.36/141.69  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 141.36/141.69  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)))
% 141.36/141.69  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found x13:((x0 H) Xw_11)
% 146.87/147.17  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found x13:((x0 G) Xw_100)
% 146.87/147.17  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found x13:((x0 G) Xw_100)
% 146.87/147.17  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found x000:((x G) Xw_100)
% 146.87/147.17  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found x000:((x H) Xw_11)
% 146.87/147.17  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found x000:((x G) Xw_100)
% 146.87/147.17  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found x11:((x0 H) Xw_100)
% 146.87/147.17  Found (fun (x11:((x0 H) Xw_100))=> x11) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 146.87/147.17  Found (fun (x11:((x0 H) Xw_100))=> x11) as proof of (((x0 H) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 146.87/147.17  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 146.87/147.17  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found x13:((x0 H) Xw_11)
% 171.03/171.37  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 171.03/171.37  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 171.03/171.37  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 171.03/171.37  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 178.42/178.76  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found or_intror00:=(or_intror0 ((x0 H) Xw_100)):(((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)))
% 178.42/178.76  Found (or_intror0 ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 178.42/178.76  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 178.42/178.76  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 180.31/180.64  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 180.31/180.64  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 180.31/180.64  Found x000:((x H) Xw_100)
% 180.31/180.64  Found (fun (x000:((x H) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 180.31/180.64  Found (fun (x000:((x H) Xw_100))=> x000) as proof of (((x H) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 180.31/180.64  Found x000:((x G) Xw_100)
% 180.31/180.64  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 180.31/180.64  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 180.31/180.64  Found x000:((x G) Xw_100)
% 180.31/180.64  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 180.31/180.64  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 180.31/180.64  Found x13:((x0 G) Xw_100)
% 182.84/183.21  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 182.84/183.21  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 182.84/183.21  Found x13:((x0 H) Xw_100)
% 182.84/183.21  Found (fun (x13:((x0 H) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 182.84/183.21  Found (fun (x13:((x0 H) Xw_100))=> x13) as proof of (((x0 H) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 182.84/183.21  Found x13:((x0 G) Xw_100)
% 182.84/183.21  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 182.84/183.21  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 182.84/183.21  Found or_intror00:=(or_intror0 ((x0 H) Xw_100)):(((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)))
% 182.84/183.21  Found (or_intror0 ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 182.84/183.21  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 182.84/183.21  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found or_intror00:=(or_intror0 ((x0 H) Xw_100)):(((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)))
% 182.84/183.21  Found (or_intror0 ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 H) Xw_100)) as proof of (((x0 H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 182.84/183.21  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 182.84/183.21  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 183.15/183.52  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x H) Xw_100)->((or ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found ((or_introl ((x H) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x H) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.15/183.52  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 183.15/183.52  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.15/183.52  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.15/183.52  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.15/183.52  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.15/183.52  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 183.31/183.65  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.31/183.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.31/183.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.31/183.65  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 183.31/183.65  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.31/183.65  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)))
% 183.57/183.92  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 183.57/183.92  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)))
% 183.57/183.92  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.57/183.92  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 183.70/184.05  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.70/184.05  Found or_intror00:=(or_intror0 ((x0 G) Xw_100)):(((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)))
% 183.70/184.05  Found (or_intror0 ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.70/184.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.70/184.05  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x0 G) Xw_100)) as proof of (((x0 G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.70/184.05  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)):(((x G) Xw_100)->((or ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.70/184.05  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.70/184.05  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.70/184.05  Found ((or_introl ((x G) Xw_100)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) as proof of (((x G) Xw_100)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)))
% 183.92/184.29  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 183.92/184.29  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)))
% 183.92/184.29  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x H) Xw_11)->((or ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 183.92/184.29  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_introl ((x H) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found or_intror00:=(or_intror0 ((x0 H) Xw_11)):(((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)))
% 184.14/184.47  Found (or_intror0 ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 H) Xw_11)) as proof of (((x0 H) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 184.14/184.47  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 184.14/184.47  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 184.14/184.47  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found or_introl00:=(or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)):(((x G) Xw_11)->((or ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found (or_introl0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_introl ((x G) Xw_11)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found or_intror00:=(or_intror0 ((x0 G) Xw_11)):(((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)))
% 213.59/213.93  Found (or_intror0 ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11)) as proof of (((x0 G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 213.59/213.93  Found x000:((x H) Xw_100)
% 213.59/213.93  Found (fun (x000:((x H) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 213.59/213.93  Found (fun (x000:((x H) Xw_100))=> x000) as proof of (((x H) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 213.59/213.93  Found x000:((x G) Xw_11)
% 213.59/213.93  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 213.59/213.93  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 213.59/213.93  Found x000:((x G) Xw_11)
% 213.59/213.93  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 213.59/213.93  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 213.59/213.93  Found x000:((x H) Xw_11)
% 213.59/213.93  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 213.59/213.93  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 213.59/213.93  Found x000:((x G) Xw_11)
% 213.59/213.93  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 213.59/213.93  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found x000:((x G) Xw_11)
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found x13:((x0 G) Xw_11)
% 246.50/246.89  Found (fun (x13:((x0 G) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 246.50/246.89  Found (fun (x13:((x0 G) Xw_11))=> x13) as proof of (((x0 G) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found x13:((x0 G) Xw_11)
% 246.50/246.89  Found (fun (x13:((x0 G) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 246.50/246.89  Found (fun (x13:((x0 G) Xw_11))=> x13) as proof of (((x0 G) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found x000:((x G) Xw_11)
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found x000:((x G) Xw_11)
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> x000) as proof of (((x G) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found x000:((x H) Xw_11)
% 246.50/246.89  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 246.50/246.89  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 246.50/246.89  Found or_intror000:=(or_intror00 x13):((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found (or_intror00 x13) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found ((or_intror0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13)) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 246.50/246.89  Found ((or_ind10 (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13))) ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11))) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found (((or_ind1 ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13))) ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11))) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found ((((fun (P0:Prop) (x2:(((x G) Xw_11)->P0)) (x3:(((x0 G) Xw_11)->P0))=> ((((((or_ind ((x G) Xw_11)) ((x0 G) Xw_11)) P0) x2) x3) x121)) ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13))) ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11))) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 246.50/246.89  Found or_intror000:=(or_intror00 x13):((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found (or_intror00 x13) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found ((or_intror0 ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13)) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13)) as proof of (((x G) Xw_11)->((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)))
% 259.16/259.58  Found ((or_ind10 (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13))) ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11))) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found (((or_ind1 ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13))) ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11))) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found ((((fun (P0:Prop) (x2:(((x G) Xw_11)->P0)) (x3:(((x0 G) Xw_11)->P0))=> ((((((or_ind ((x G) Xw_11)) ((x0 G) Xw_11)) P0) x2) x3) x120)) ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))) (fun (x000:((x G) Xw_11))=> (((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) x13))) ((or_intror ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x0 G) Xw_11))) as proof of ((or ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_10)) ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_10))
% 259.16/259.58  Found x13:((x0 H) Xw_11)
% 259.16/259.58  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 259.16/259.58  Found x13:((x0 G) Xw_100)
% 259.16/259.58  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 259.16/259.58  Found x13:((x0 G) Xw_100)
% 259.16/259.58  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 259.16/259.58  Found x000:((x G) Xw_100)
% 259.16/259.58  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 259.16/259.58  Found x000:((x G) Xw_100)
% 259.16/259.58  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 259.16/259.58  Found x000:((x H) Xw_11)
% 259.16/259.58  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 259.16/259.58  Found x13:((x0 H) Xw_11)
% 259.16/259.58  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 259.16/259.58  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 H) Xw_11)
% 287.28/287.72  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 G) Xw_100)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 G) Xw_100)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 H) Xw_11)
% 287.28/287.72  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x13:((x0 H) Xw_11))=> x13) as proof of (((x0 H) Xw_11)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x H) Xw_11)
% 287.28/287.72  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x H) Xw_11)
% 287.28/287.72  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x H) Xw_11)
% 287.28/287.72  Found (fun (x000:((x H) Xw_11))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x H) Xw_11))=> x000) as proof of (((x H) Xw_11)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x H) Xw_100)
% 287.28/287.72  Found (fun (x000:((x H) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x H) Xw_100))=> x000) as proof of (((x H) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 H) Xw_100)
% 287.28/287.72  Found (fun (x13:((x0 H) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x13:((x0 H) Xw_100))=> x13) as proof of (((x0 H) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x000:((x G) Xw_100)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of ((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x000:((x G) Xw_100))=> x000) as proof of (((x G) Xw_100)->((x0 (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 G) Xw_100)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of (((x0 G) Xw_100)->((x (fun (Xx:fofType)=> (G (H Xx)))) Xw_1))
% 287.28/287.72  Found x13:((x0 G) Xw_100)
% 287.28/287.72  Found (fun (x13:((x0 G) Xw_100))=> x13) as proof of ((x (fun 
%------------------------------------------------------------------------------