TSTP Solution File: ITP009^2 by cocATP---0.2.0

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP009^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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
% DateTime : Sun Mar 21 13:23:36 EDT 2021

% Result   : Timeout 300.01s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : ITP009^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.07/0.12  % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Thu Mar 18 22:16:33 EDT 2021
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.44/0.62  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.44/0.62  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/ITP001/ITP001^2.ax, trying next directory
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a6c8>, <kernel.Type object at 0x204a290>) of role type named del_tp
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring del:Type
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x2ac1dcc8c9e0>, <kernel.Constant object at 0x204a3b0>) of role type named bool
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring bool:del
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a3f8>, <kernel.Constant object at 0x204a3b0>) of role type named ind
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring ind:del
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a6c8>, <kernel.DependentProduct object at 0x204a2d8>) of role type named arr
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring arr:(del->(del->del))
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a050>, <kernel.DependentProduct object at 0x204a2d8>) of role type named mem
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring mem:(fofType->(del->Prop))
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a3f8>, <kernel.DependentProduct object at 0x204a6c8>) of role type named ap
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring ap:(fofType->(fofType->fofType))
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a098>, <kernel.DependentProduct object at 0x204a320>) of role type named lam
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring lam:(del->((fofType->fofType)->fofType))
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a170>, <kernel.DependentProduct object at 0x204a2d8>) of role type named p
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring p:(fofType->Prop)
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x204a6c8>, <kernel.DependentProduct object at 0x204a1b8>) of role type named stp_inj_o
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring inj__o:(Prop->fofType)
% 0.44/0.62  FOF formula (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) of role axiom named stp_inj_surj_o
% 0.44/0.62  A new axiom: (forall (X:Prop), (((eq Prop) (p (inj__o X))) X))
% 0.44/0.62  FOF formula (forall (X:Prop), ((mem (inj__o X)) bool)) of role axiom named stp_inj_mem_o
% 0.44/0.62  A new axiom: (forall (X:Prop), ((mem (inj__o X)) bool))
% 0.44/0.62  FOF formula (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) of role axiom named stp_iso_mem_o
% 0.44/0.62  A new axiom: (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X)))))
% 0.44/0.62  FOF formula (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B))))) of role axiom named ap_tp
% 0.44/0.62  A new axiom: (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B)))))
% 0.44/0.62  FOF formula (forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B)))) of role axiom named lam_tp
% 0.44/0.62  A new axiom: (forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B))))
% 0.44/0.62  FOF formula (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G)))))) of role axiom named funcext
% 0.44/0.62  A new axiom: (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G))))))
% 0.44/0.62  FOF formula (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))) of role axiom named beta
% 0.44/0.62  A new axiom: (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X))))
% 0.44/0.62  FOF formula (<kernel.Constant object at 0x2ac1dcc8bb90>, <kernel.Single object at 0x2ac1dcc8b5a8>) of role type named tp_c_2Ebool_2E_7E
% 0.44/0.62  Using role type
% 0.44/0.62  Declaring c_2Ebool_2E_7E:fofType
% 0.44/0.62  FOF formula ((mem c_2Ebool_2E_7E) ((arr bool) bool)) of role axiom named mem_c_2Ebool_2E_7E
% 0.44/0.62  A new axiom: ((mem c_2Ebool_2E_7E) ((arr bool) bool))
% 0.44/0.62  FOF formula (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False)))) of role axiom named ax_neg_p
% 0.44/0.62  A new axiom: (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False))))
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2ac1dcc8b6c8>, <kernel.Single object at 0x2ac1dcc8b440>) of role type named tp_c_2Ebool_2EF
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Ebool_2EF:fofType
% 0.47/0.63  FOF formula ((mem c_2Ebool_2EF) bool) of role axiom named mem_c_2Ebool_2EF
% 0.47/0.63  A new axiom: ((mem c_2Ebool_2EF) bool)
% 0.47/0.63  FOF formula ((p c_2Ebool_2EF)->False) of role axiom named ax_false_p
% 0.47/0.63  A new axiom: ((p c_2Ebool_2EF)->False)
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2ac1dcc8b6c8>, <kernel.Single object at 0x2ac1dcc8bd88>) of role type named tp_c_2Ebool_2ET
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Ebool_2ET:fofType
% 0.47/0.63  FOF formula ((mem c_2Ebool_2ET) bool) of role axiom named mem_c_2Ebool_2ET
% 0.47/0.63  A new axiom: ((mem c_2Ebool_2ET) bool)
% 0.47/0.63  FOF formula (p c_2Ebool_2ET) of role axiom named ax_true_p
% 0.47/0.63  A new axiom: (p c_2Ebool_2ET)
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2ac1dcc8b440>, <kernel.Single object at 0x2ac1dcc6e758>) of role type named tp_c_2Ebool_2E_2F_5C
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Ebool_2E_2F_5C:fofType
% 0.47/0.63  FOF formula ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_2F_5C
% 0.47/0.63  A new axiom: ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool)))
% 0.47/0.63  FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R))))))) of role axiom named ax_and_p
% 0.47/0.63  A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R)))))))
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2ac1dcc6e7e8>, <kernel.DependentProduct object at 0x204a050>) of role type named tp_c_2Equotient_2E_2D_2D_3E
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Equotient_2E_2D_2D_3E:(del->(del->(del->(del->fofType))))
% 0.47/0.63  FOF formula (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del), ((mem ((((c_2Equotient_2E_2D_2D_3E A_27a) A_27b) A_27c) A_27d)) ((arr ((arr A_27a) A_27c)) ((arr ((arr A_27b) A_27d)) ((arr ((arr A_27c) A_27b)) ((arr A_27a) A_27d)))))) of role axiom named mem_c_2Equotient_2E_2D_2D_3E
% 0.47/0.63  A new axiom: (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del), ((mem ((((c_2Equotient_2E_2D_2D_3E A_27a) A_27b) A_27c) A_27d)) ((arr ((arr A_27a) A_27c)) ((arr ((arr A_27b) A_27d)) ((arr ((arr A_27c) A_27b)) ((arr A_27a) A_27d))))))
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2ac1dcc6e248>, <kernel.DependentProduct object at 0x204a050>) of role type named tp_c_2Equotient_2E_3D_3D_3D_3E
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Equotient_2E_3D_3D_3D_3E:(del->(del->fofType))
% 0.47/0.63  FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) bool))) ((arr ((arr A_27b) ((arr A_27b) bool))) ((arr ((arr A_27a) A_27b)) ((arr ((arr A_27a) A_27b)) bool)))))) of role axiom named mem_c_2Equotient_2E_3D_3D_3D_3E
% 0.47/0.63  A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) bool))) ((arr ((arr A_27b) ((arr A_27b) bool))) ((arr ((arr A_27a) A_27b)) ((arr ((arr A_27a) A_27b)) bool))))))
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2ac1dcc6e758>, <kernel.DependentProduct object at 0x204a3b0>) of role type named tp_c_2Equotient_2EQUOTIENT
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Equotient_2EQUOTIENT:(del->(del->fofType))
% 0.47/0.63  FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2EQUOTIENT A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) bool))) ((arr ((arr A_27a) A_27b)) ((arr ((arr A_27b) A_27a)) bool))))) of role axiom named mem_c_2Equotient_2EQUOTIENT
% 0.47/0.63  A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2EQUOTIENT A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) bool))) ((arr ((arr A_27a) A_27b)) ((arr ((arr A_27b) A_27a)) bool)))))
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x204ab90>, <kernel.Single object at 0x204a050>) of role type named tp_c_2Emin_2E_3D_3D_3E
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Emin_2E_3D_3D_3E:fofType
% 0.47/0.63  FOF formula ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Emin_2E_3D_3D_3E
% 0.47/0.63  A new axiom: ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool)))
% 0.47/0.65  FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R))))))) of role axiom named ax_imp_p
% 0.47/0.65  A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R)))))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x204a7a0>, <kernel.DependentProduct object at 0x204a758>) of role type named tp_c_2Ebool_2E_21
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring c_2Ebool_2E_21:(del->fofType)
% 0.47/0.65  FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool))) of role axiom named mem_c_2Ebool_2E_21
% 0.47/0.65  A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.47/0.65  FOF formula (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X))))))) of role axiom named ax_all_p
% 0.47/0.65  A new axiom: (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X)))))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x204a560>, <kernel.DependentProduct object at 0x204aab8>) of role type named tp_c_2Ecombin_2EW
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring c_2Ecombin_2EW:(del->(del->fofType))
% 0.47/0.65  FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Ecombin_2EW A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) A_27b))) ((arr A_27a) A_27b)))) of role axiom named mem_c_2Ecombin_2EW
% 0.47/0.65  A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Ecombin_2EW A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) A_27b))) ((arr A_27a) A_27b))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x204aa70>, <kernel.DependentProduct object at 0x204a050>) of role type named tp_c_2Equotient_2Erespects
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring c_2Equotient_2Erespects:(del->(del->fofType))
% 0.47/0.65  FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2Erespects A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) A_27b))) ((arr A_27a) A_27b)))) of role axiom named mem_c_2Equotient_2Erespects
% 0.47/0.65  A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2Erespects A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) A_27b))) ((arr A_27a) A_27b))))
% 0.47/0.65  FOF formula (<kernel.Constant object at 0x204a440>, <kernel.DependentProduct object at 0x204ab90>) of role type named tp_c_2Emin_2E_3D
% 0.47/0.65  Using role type
% 0.47/0.65  Declaring c_2Emin_2E_3D:(del->fofType)
% 0.47/0.65  FOF formula (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))) of role axiom named mem_c_2Emin_2E_3D
% 0.47/0.65  A new axiom: (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool))))
% 0.47/0.65  FOF formula (forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y)))))) of role axiom named ax_eq_p
% 0.47/0.65  A new axiom: (forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y))))))
% 0.47/0.65  FOF formula True of role axiom named conj_thm_2Ebool_2ETRUTH
% 0.47/0.65  A new axiom: True
% 0.47/0.65  FOF formula (forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(((p V0t1)->(p V1t2))->(((p V1t2)->(p V0t1))->((iff (p V0t1)) (p V1t2)))))))) of role axiom named conj_thm_2Ebool_2EIMP__ANTISYM__AX
% 0.47/0.65  A new axiom: (forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(((p V0t1)->(p V1t2))->(((p V1t2)->(p V0t1))->((iff (p V0t1)) (p V1t2))))))))
% 0.47/0.65  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((and True) (p V0t))) (p V0t))) ((iff ((and (p V0t)) True)) (p V0t)))) ((iff ((and False) (p V0t))) False))) ((iff ((and (p V0t)) False)) False))) ((iff ((and (p V0t)) (p V0t))) (p V0t))))) of role axiom named conj_thm_2Ebool_2EAND__CLAUSES
% 0.47/0.65  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((and True) (p V0t))) (p V0t))) ((iff ((and (p V0t)) True)) (p V0t)))) ((iff ((and False) (p V0t))) False))) ((iff ((and (p V0t)) False)) False))) ((iff ((and (p V0t)) (p V0t))) (p V0t)))))
% 0.47/0.67  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((iff ((iff True) (p V0t))) (p V0t))) ((iff ((iff (p V0t)) True)) (p V0t)))) ((iff ((iff False) (p V0t))) ((p V0t)->False)))) ((iff ((iff (p V0t)) False)) ((p V0t)->False))))) of role axiom named conj_thm_2Ebool_2EEQ__CLAUSES
% 0.47/0.67  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((iff ((iff True) (p V0t))) (p V0t))) ((iff ((iff (p V0t)) True)) (p V0t)))) ((iff ((iff False) (p V0t))) ((p V0t)->False)))) ((iff ((iff (p V0t)) False)) ((p V0t)->False)))))
% 0.47/0.67  FOF formula (forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(forall (V2t3:fofType), (((mem V2t3) bool)->((iff ((p V0t1)->((p V1t2)->(p V2t3)))) (((and (p V0t1)) (p V1t2))->(p V2t3))))))))) of role axiom named conj_thm_2Ebool_2EAND__IMP__INTRO
% 0.47/0.67  A new axiom: (forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(forall (V2t3:fofType), (((mem V2t3) bool)->((iff ((p V0t1)->((p V1t2)->(p V2t3)))) (((and (p V0t1)) (p V1t2))->(p V2t3)))))))))
% 0.47/0.67  FOF formula (forall (A_27a:del) (A_27b:del) (V0f:fofType), (((mem V0f) ((arr A_27a) ((arr A_27a) A_27b)))->(forall (V1x:fofType), (((mem V1x) A_27a)->(((eq fofType) ((ap ((ap ((c_2Ecombin_2EW A_27a) A_27b)) V0f)) V1x)) ((ap ((ap V0f) V1x)) V1x)))))) of role axiom named conj_thm_2Ecombin_2EW__THM
% 0.47/0.67  A new axiom: (forall (A_27a:del) (A_27b:del) (V0f:fofType), (((mem V0f) ((arr A_27a) ((arr A_27a) A_27b)))->(forall (V1x:fofType), (((mem V1x) A_27a)->(((eq fofType) ((ap ((ap ((c_2Ecombin_2EW A_27a) A_27b)) V0f)) V1x)) ((ap ((ap V0f) V1x)) V1x))))))
% 0.47/0.67  FOF formula (forall (A_27a:del) (A_27b:del) (V0R:fofType), (((mem V0R) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs:fofType), (((mem V1abs) ((arr A_27a) A_27b))->(forall (V2rep:fofType), (((mem V2rep) ((arr A_27b) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27b)) V0R)) V1abs)) V2rep))->(forall (V3r:fofType), (((mem V3r) A_27a)->(forall (V4s:fofType), (((mem V4s) A_27a)->((iff (p ((ap ((ap V0R) V3r)) V4s))) ((and ((and (p ((ap ((ap V0R) V3r)) V3r))) (p ((ap ((ap V0R) V4s)) V4s)))) (((eq fofType) ((ap V1abs) V3r)) ((ap V1abs) V4s))))))))))))))) of role axiom named conj_thm_2Equotient_2EQUOTIENT__REL
% 0.47/0.67  A new axiom: (forall (A_27a:del) (A_27b:del) (V0R:fofType), (((mem V0R) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs:fofType), (((mem V1abs) ((arr A_27a) A_27b))->(forall (V2rep:fofType), (((mem V2rep) ((arr A_27b) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27b)) V0R)) V1abs)) V2rep))->(forall (V3r:fofType), (((mem V3r) A_27a)->(forall (V4s:fofType), (((mem V4s) A_27a)->((iff (p ((ap ((ap V0R) V3r)) V4s))) ((and ((and (p ((ap ((ap V0R) V3r)) V3r))) (p ((ap ((ap V0R) V4s)) V4s)))) (((eq fofType) ((ap V1abs) V3r)) ((ap V1abs) V4s)))))))))))))))
% 0.47/0.67  FOF formula (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT ((arr A_27a) A_27b)) ((arr A_27c) A_27d))) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2))) ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27a) A_27d) A_27c) A_27b)) V1abs1)) V5rep2))))))))))))))))) of role axiom named conj_thm_2Equotient_2EFUN__QUOTIENT
% 0.47/0.67  A new axiom: (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT ((arr A_27a) A_27b)) ((arr A_27c) A_27d))) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2))) ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27a) A_27d) A_27c) A_27b)) V1abs1)) V5rep2)))))))))))))))))
% 0.47/0.68  FOF formula (forall (A_27a:del) (A_27b:del), (((eq fofType) ((c_2Equotient_2Erespects A_27a) A_27b)) ((c_2Ecombin_2EW A_27a) A_27b))) of role axiom named ax_thm_2Equotient_2Erespects__def
% 0.47/0.68  A new axiom: (forall (A_27a:del) (A_27b:del), (((eq fofType) ((c_2Equotient_2Erespects A_27a) A_27b)) ((c_2Ecombin_2EW A_27a) A_27b)))
% 0.47/0.68  FOF formula (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(forall (V6f:fofType), (((mem V6f) ((arr A_27a) A_27b))->(forall (V7g:fofType), (((mem V7g) ((arr A_27a) A_27b))->((iff (p ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))) ((and ((and (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V6f))) (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))))))))))))))))) of role conjecture named conj_thm_2Equotient_2EFUN__REL__EQ__REL
% 0.47/0.68  Conjecture to prove = (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(forall (V6f:fofType), (((mem V6f) ((arr A_27a) A_27b))->(forall (V7g:fofType), (((mem V7g) ((arr A_27a) A_27b))->((iff (p ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))) ((and ((and (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V6f))) (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))))))))))))))))):Prop
% 0.47/0.68  We need to prove ['(forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(forall (V6f:fofType), (((mem V6f) ((arr A_27a) A_27b))->(forall (V7g:fofType), (((mem V7g) ((arr A_27a) A_27b))->((iff (p ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))) ((and ((and (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V6f))) (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))))))))))))))))))']
% 0.47/0.68  Parameter del:Type.
% 0.47/0.68  Parameter bool:del.
% 0.47/0.68  Parameter ind:del.
% 0.47/0.68  Parameter arr:(del->(del->del)).
% 0.47/0.68  Parameter fofType:Type.
% 0.47/0.68  Parameter mem:(fofType->(del->Prop)).
% 0.47/0.68  Parameter ap:(fofType->(fofType->fofType)).
% 0.47/0.68  Parameter lam:(del->((fofType->fofType)->fofType)).
% 0.47/0.68  Parameter p:(fofType->Prop).
% 0.47/0.68  Parameter inj__o:(Prop->fofType).
% 0.47/0.68  Axiom stp_inj_surj_o:(forall (X:Prop), (((eq Prop) (p (inj__o X))) X)).
% 0.47/0.68  Axiom stp_inj_mem_o:(forall (X:Prop), ((mem (inj__o X)) bool)).
% 0.47/0.68  Axiom stp_iso_mem_o:(forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))).
% 0.47/0.68  Axiom ap_tp:(forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B))))).
% 0.47/0.68  Axiom lam_tp:(forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B)))).
% 0.47/0.68  Axiom funcext:(forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G)))))).
% 0.47/0.68  Axiom beta:(forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))).
% 0.47/0.68  Parameter c_2Ebool_2E_7E:fofType.
% 0.47/0.68  Axiom mem_c_2Ebool_2E_7E:((mem c_2Ebool_2E_7E) ((arr bool) bool)).
% 0.47/0.68  Axiom ax_neg_p:(forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False)))).
% 0.47/0.68  Parameter c_2Ebool_2EF:fofType.
% 0.47/0.68  Axiom mem_c_2Ebool_2EF:((mem c_2Ebool_2EF) bool).
% 0.47/0.68  Axiom ax_false_p:((p c_2Ebool_2EF)->False).
% 0.47/0.68  Parameter c_2Ebool_2ET:fofType.
% 0.47/0.68  Axiom mem_c_2Ebool_2ET:((mem c_2Ebool_2ET) bool).
% 0.47/0.68  Axiom ax_true_p:(p c_2Ebool_2ET).
% 0.47/0.68  Parameter c_2Ebool_2E_2F_5C:fofType.
% 0.47/0.68  Axiom mem_c_2Ebool_2E_2F_5C:((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool))).
% 0.47/0.68  Axiom ax_and_p:(forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R))))))).
% 0.47/0.68  Parameter c_2Equotient_2E_2D_2D_3E:(del->(del->(del->(del->fofType)))).
% 0.47/0.68  Axiom mem_c_2Equotient_2E_2D_2D_3E:(forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del), ((mem ((((c_2Equotient_2E_2D_2D_3E A_27a) A_27b) A_27c) A_27d)) ((arr ((arr A_27a) A_27c)) ((arr ((arr A_27b) A_27d)) ((arr ((arr A_27c) A_27b)) ((arr A_27a) A_27d)))))).
% 0.47/0.68  Parameter c_2Equotient_2E_3D_3D_3D_3E:(del->(del->fofType)).
% 0.47/0.68  Axiom mem_c_2Equotient_2E_3D_3D_3D_3E:(forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) bool))) ((arr ((arr A_27b) ((arr A_27b) bool))) ((arr ((arr A_27a) A_27b)) ((arr ((arr A_27a) A_27b)) bool)))))).
% 0.47/0.68  Parameter c_2Equotient_2EQUOTIENT:(del->(del->fofType)).
% 0.47/0.68  Axiom mem_c_2Equotient_2EQUOTIENT:(forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2EQUOTIENT A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) bool))) ((arr ((arr A_27a) A_27b)) ((arr ((arr A_27b) A_27a)) bool))))).
% 0.47/0.68  Parameter c_2Emin_2E_3D_3D_3E:fofType.
% 0.47/0.69  Axiom mem_c_2Emin_2E_3D_3D_3E:((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool))).
% 0.47/0.69  Axiom ax_imp_p:(forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R))))))).
% 0.47/0.69  Parameter c_2Ebool_2E_21:(del->fofType).
% 0.47/0.69  Axiom mem_c_2Ebool_2E_21:(forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool))).
% 0.47/0.69  Axiom ax_all_p:(forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X))))))).
% 0.47/0.69  Parameter c_2Ecombin_2EW:(del->(del->fofType)).
% 0.47/0.69  Axiom mem_c_2Ecombin_2EW:(forall (A_27a:del) (A_27b:del), ((mem ((c_2Ecombin_2EW A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) A_27b))) ((arr A_27a) A_27b)))).
% 0.47/0.69  Parameter c_2Equotient_2Erespects:(del->(del->fofType)).
% 0.47/0.69  Axiom mem_c_2Equotient_2Erespects:(forall (A_27a:del) (A_27b:del), ((mem ((c_2Equotient_2Erespects A_27a) A_27b)) ((arr ((arr A_27a) ((arr A_27a) A_27b))) ((arr A_27a) A_27b)))).
% 0.47/0.69  Parameter c_2Emin_2E_3D:(del->fofType).
% 0.47/0.69  Axiom mem_c_2Emin_2E_3D:(forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))).
% 0.47/0.69  Axiom ax_eq_p:(forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y)))))).
% 0.47/0.69  Axiom conj_thm_2Ebool_2ETRUTH:True.
% 0.47/0.69  Axiom conj_thm_2Ebool_2EIMP__ANTISYM__AX:(forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(((p V0t1)->(p V1t2))->(((p V1t2)->(p V0t1))->((iff (p V0t1)) (p V1t2)))))))).
% 0.47/0.69  Axiom conj_thm_2Ebool_2EAND__CLAUSES:(forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff ((and True) (p V0t))) (p V0t))) ((iff ((and (p V0t)) True)) (p V0t)))) ((iff ((and False) (p V0t))) False))) ((iff ((and (p V0t)) False)) False))) ((iff ((and (p V0t)) (p V0t))) (p V0t))))).
% 0.47/0.69  Axiom conj_thm_2Ebool_2EEQ__CLAUSES:(forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((iff ((iff True) (p V0t))) (p V0t))) ((iff ((iff (p V0t)) True)) (p V0t)))) ((iff ((iff False) (p V0t))) ((p V0t)->False)))) ((iff ((iff (p V0t)) False)) ((p V0t)->False))))).
% 0.47/0.69  Axiom conj_thm_2Ebool_2EAND__IMP__INTRO:(forall (V0t1:fofType), (((mem V0t1) bool)->(forall (V1t2:fofType), (((mem V1t2) bool)->(forall (V2t3:fofType), (((mem V2t3) bool)->((iff ((p V0t1)->((p V1t2)->(p V2t3)))) (((and (p V0t1)) (p V1t2))->(p V2t3))))))))).
% 0.47/0.69  Axiom conj_thm_2Ecombin_2EW__THM:(forall (A_27a:del) (A_27b:del) (V0f:fofType), (((mem V0f) ((arr A_27a) ((arr A_27a) A_27b)))->(forall (V1x:fofType), (((mem V1x) A_27a)->(((eq fofType) ((ap ((ap ((c_2Ecombin_2EW A_27a) A_27b)) V0f)) V1x)) ((ap ((ap V0f) V1x)) V1x)))))).
% 0.47/0.69  Axiom conj_thm_2Equotient_2EQUOTIENT__REL:(forall (A_27a:del) (A_27b:del) (V0R:fofType), (((mem V0R) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs:fofType), (((mem V1abs) ((arr A_27a) A_27b))->(forall (V2rep:fofType), (((mem V2rep) ((arr A_27b) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27b)) V0R)) V1abs)) V2rep))->(forall (V3r:fofType), (((mem V3r) A_27a)->(forall (V4s:fofType), (((mem V4s) A_27a)->((iff (p ((ap ((ap V0R) V3r)) V4s))) ((and ((and (p ((ap ((ap V0R) V3r)) V3r))) (p ((ap ((ap V0R) V4s)) V4s)))) (((eq fofType) ((ap V1abs) V3r)) ((ap V1abs) V4s))))))))))))))).
% 0.47/0.69  Axiom conj_thm_2Equotient_2EFUN__QUOTIENT:(forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT ((arr A_27a) A_27b)) ((arr A_27c) A_27d))) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2))) ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27a) A_27d) A_27c) A_27b)) V1abs1)) V5rep2))))))))))))))))).
% 16.65/16.86  Axiom ax_thm_2Equotient_2Erespects__def:(forall (A_27a:del) (A_27b:del), (((eq fofType) ((c_2Equotient_2Erespects A_27a) A_27b)) ((c_2Ecombin_2EW A_27a) A_27b))).
% 16.65/16.86  Trying to prove (forall (A_27a:del) (A_27b:del) (A_27c:del) (A_27d:del) (V0R1:fofType), (((mem V0R1) ((arr A_27a) ((arr A_27a) bool)))->(forall (V1abs1:fofType), (((mem V1abs1) ((arr A_27a) A_27c))->(forall (V2rep1:fofType), (((mem V2rep1) ((arr A_27c) A_27a))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))->(forall (V3R2:fofType), (((mem V3R2) ((arr A_27b) ((arr A_27b) bool)))->(forall (V4abs2:fofType), (((mem V4abs2) ((arr A_27b) A_27d))->(forall (V5rep2:fofType), (((mem V5rep2) ((arr A_27d) A_27b))->((p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))->(forall (V6f:fofType), (((mem V6f) ((arr A_27a) A_27b))->(forall (V7g:fofType), (((mem V7g) ((arr A_27a) A_27b))->((iff (p ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))) ((and ((and (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V6f))) (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))))))))))))))))))
% 16.65/16.86  Found x6:(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))
% 16.65/16.86  Instantiate: b:=((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2):fofType
% 16.65/16.86  Found x6 as proof of (P b)
% 16.65/16.86  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)):(((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))
% 16.65/16.86  Found (eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 16.65/16.86  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 16.65/16.86  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 16.65/16.86  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 16.65/16.86  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 16.65/16.86  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 19.91/20.10  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 19.91/20.10  Found eq_ref00:=(eq_ref0 (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):(((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))
% 19.91/20.10  Found (eq_ref0 (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 19.91/20.10  Found ((eq_ref Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 19.91/20.10  Found ((eq_ref Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 19.91/20.10  Found ((eq_ref Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 19.91/20.10  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 19.91/20.10  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 19.91/20.10  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 27.74/27.95  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 27.74/27.95  Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 27.74/27.95  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 27.74/27.95  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 27.74/27.95  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 27.74/27.95  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)):(((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 27.74/27.95  Found (eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 27.74/27.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 27.74/27.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 27.74/27.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 27.74/27.95  Found x6:(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))
% 27.74/27.95  Instantiate: b:=((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2):fofType
% 27.74/27.95  Found x6 as proof of (P b)
% 27.74/27.95  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)):(((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))
% 27.74/27.95  Found (eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 27.74/27.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 27.74/27.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 27.74/27.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 27.74/27.95  Found x110:=(x11 (fun (x13:fofType)=> (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))):((p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g))->(p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))
% 33.71/33.94  Found (x11 (fun (x13:fofType)=> (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) as proof of (P ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g))
% 33.71/33.94  Found (x11 (fun (x13:fofType)=> (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) as proof of (P ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g))
% 33.71/33.94  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 33.71/33.94  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 33.71/33.94  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 33.71/33.94  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 33.71/33.94  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 33.71/33.94  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 33.71/33.94  Found eq_ref00:=(eq_ref0 (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):(((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))
% 33.71/33.94  Found (eq_ref0 (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 33.71/33.94  Found ((eq_ref Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 34.41/34.63  Found ((eq_ref Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 34.41/34.63  Found ((eq_ref Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of (((eq Prop) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) b)
% 34.41/34.63  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 34.41/34.63  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 34.41/34.63  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 34.41/34.63  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 34.41/34.63  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 34.41/34.63  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.40/45.67  Found x8:((mem V7g) ((arr A_27a) A_27b))
% 45.40/45.67  Instantiate: A:=((arr A_27a) A_27b):del
% 45.40/45.67  Found x8 as proof of ((mem V7g) A)
% 45.40/45.67  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.40/45.67  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.40/45.67  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.40/45.67  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 45.40/45.67  Found (eq_ref0 a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 45.40/45.67  Found (eq_ref0 a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 45.40/45.67  Found x2:(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1))
% 45.40/45.67  Instantiate: b:=((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27a) A_27c)) V0R1)) V1abs1)) V2rep1):fofType
% 45.40/45.67  Found x2 as proof of (P b)
% 45.40/45.67  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.40/45.67  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.40/45.67  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.40/45.67  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.49/45.67  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.49/45.67  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.49/45.67  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.49/45.67  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.49/45.67  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.49/45.67  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.49/45.67  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.49/45.67  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.84/46.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.84/46.04  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.84/46.04  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 45.84/46.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.84/46.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.84/46.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 45.84/46.04  Found stp_inj_surj_o0:=(stp_inj_surj_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):(((eq Prop) (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))
% 45.84/46.04  Instantiate: b:=(((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)):Prop
% 45.84/46.04  Found stp_inj_surj_o0 as proof of (((eq Prop) (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) b)
% 57.93/58.11  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)):(((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))
% 57.93/58.11  Found (eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 57.93/58.11  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 57.93/58.11  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 57.93/58.11  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 57.93/58.11  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 57.93/58.11  Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 57.93/58.11  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 57.93/58.11  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 57.93/58.11  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 57.93/58.11  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)):(((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 57.93/58.11  Found (eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 57.93/58.11  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 57.93/58.11  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 57.93/58.11  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) b)
% 57.93/58.11  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 57.93/58.11  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 60.52/60.70  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 60.52/60.70  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 60.52/60.70  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 60.52/60.70  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 60.52/60.70  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 V6f)
% 60.52/60.70  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 60.52/60.70  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 76.29/76.56  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 76.29/76.56  Found x110:=(x11 (fun (x13:fofType)=> (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))):((p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g))->(p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))
% 76.29/76.56  Found (x11 (fun (x13:fofType)=> (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) as proof of (P ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g))
% 76.29/76.56  Found (x11 (fun (x13:fofType)=> (p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g)))) as proof of (P ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V7g))
% 76.29/76.56  Found x8:((mem V7g) ((arr A_27a) A_27b))
% 76.29/76.56  Instantiate: A:=((arr A_27a) A_27b):del
% 76.29/76.56  Found x8 as proof of ((mem V7g) A)
% 76.29/76.56  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 76.29/76.56  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 76.29/76.56  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 76.29/76.56  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 76.29/76.56  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 87.41/87.64  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 87.41/87.64  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 87.41/87.64  Found (eq_ref0 a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 87.41/87.64  Found (eq_ref0 a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 87.41/87.64  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 87.41/87.64  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 87.41/87.64  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 87.41/87.64  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 87.41/87.64  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 87.41/87.64  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 87.41/87.64  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 103.28/103.56  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 103.28/103.56  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 103.28/103.56  Found x6:(p ((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2))
% 103.28/103.56  Instantiate: b:=((ap ((ap ((ap ((c_2Equotient_2EQUOTIENT A_27b) A_27d)) V3R2)) V4abs2)) V5rep2):fofType
% 103.28/103.56  Found x6 as proof of (P b)
% 103.28/103.56  Found stp_inj_surj_o0:=(stp_inj_surj_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):(((eq Prop) (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))
% 103.28/103.56  Instantiate: b:=(((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)):Prop
% 103.28/103.56  Found stp_inj_surj_o0 as proof of (((eq Prop) (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) b)
% 103.28/103.56  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 103.28/103.56  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 103.28/103.56  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 103.98/104.19  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 103.98/104.19  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 103.98/104.19  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 103.98/104.19  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 103.98/104.19  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 103.98/104.19  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 103.98/104.19  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 103.98/104.19  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 104.72/104.93  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 104.72/104.93  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 104.72/104.93  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 104.72/104.93  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 104.72/104.93  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 104.72/104.93  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 104.72/104.93  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 104.72/104.93  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)):(((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))
% 104.72/104.93  Found (eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 104.72/104.93  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 118.72/118.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 118.72/118.95  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 118.72/118.95  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.95  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.95  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.72/118.95  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.72/118.95  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.98  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.98  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.98  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.98  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.98  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.72/118.98  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.98  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.72/118.98  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.04  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.04  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.05  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.05  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.05  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.05  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.05  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.05  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.05  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.05  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.05  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.08  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.08  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.08  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.08  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 118.79/119.08  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.08  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.08  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 118.79/119.08  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.09  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 118.87/119.16  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 144.21/144.45  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 144.21/144.45  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 V6f)
% 144.21/144.45  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found (fun (x100:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x100) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 144.21/144.45  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 144.21/144.45  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 144.21/144.45  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 147.55/147.82  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 147.55/147.82  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.85/164.13  Found x8:((mem V7g) ((arr A_27a) A_27b))
% 163.85/164.13  Instantiate: A:=((arr A_27a) A_27b):del
% 163.85/164.13  Found x8 as proof of ((mem V7g) A)
% 163.85/164.13  Found stp_inj_surj_o1:=(stp_inj_surj_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):(((eq Prop) (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))
% 163.85/164.13  Instantiate: b:=(p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))):Prop
% 163.85/164.13  Found stp_inj_surj_o1 as proof of (((eq Prop) (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) b)
% 163.85/164.13  Found x10:(P ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 163.85/164.13  Instantiate: b:=((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f):fofType
% 163.85/164.13  Found x10 as proof of (P0 b)
% 163.85/164.13  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 163.85/164.13  Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 163.85/164.13  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 163.85/164.13  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 163.85/164.13  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 163.85/164.13  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)):(((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 163.85/164.13  Found (eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 163.85/164.13  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 163.85/164.13  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 163.85/164.13  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 163.85/164.13  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.85/164.15  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.85/164.15  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.85/164.15  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.85/164.15  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.85/164.15  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.85/164.15  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.85/164.15  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.85/164.15  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.93/164.22  Found stp_inj_surj_o1:=(stp_inj_surj_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):(((eq Prop) (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))
% 163.93/164.22  Found (stp_inj_surj_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of (((eq Prop) (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) b)
% 163.93/164.22  Found (stp_inj_surj_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of (((eq Prop) (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) b)
% 163.93/164.22  Found (stp_inj_surj_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of (((eq Prop) (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) b)
% 163.93/164.22  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.93/164.22  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.93/164.22  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.93/164.22  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.93/164.25  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.93/164.25  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 163.93/164.25  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 163.93/164.25  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 163.93/164.25  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 163.93/164.25  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.93/164.25  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 163.93/164.25  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.36  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.36  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.36  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.36  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.36  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.36  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.36  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.36  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.36  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.37  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.37  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.37  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.37  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.37  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.37  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 164.08/164.37  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.08/164.37  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.24/164.55  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 164.24/164.55  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.24/164.55  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.24/164.55  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.24/164.55  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.24/164.55  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.24/164.55  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.24/164.55  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 164.33/164.58  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 190.87/191.13  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 190.87/191.13  Found (eq_ref0 a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 190.87/191.13  Found (eq_ref0 a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) V7g)
% 190.87/191.13  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)):(((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))
% 190.87/191.13  Found (eq_ref0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 190.87/191.13  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 190.87/191.13  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 190.87/191.13  Found ((eq_ref fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)) b)
% 190.87/191.13  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 190.87/191.13  Found (eq_ref0 a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 190.87/191.13  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 190.87/191.13  Found (eq_ref0 a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 190.87/191.13  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 222.54/222.83  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))
% 222.54/222.83  Found x12:(p ((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V6f))
% 222.54/222.83  Instantiate: b:=((ap ((ap ((c_2Equotient_2Erespects ((arr A_27a) A_27b)) bool)) ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2))) V6f):fofType
% 222.54/222.83  Found x12 as proof of (P b)
% 222.54/222.83  Found eq_ref00:=(eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)):(((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g))
% 222.54/222.83  Found (eq_ref0 ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 222.54/222.83  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 222.54/222.83  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 222.54/222.83  Found ((eq_ref fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) as proof of (((eq fofType) ((ap ((ap ((ap ((ap ((c_2Equotient_2E_3D_3D_3D_3E A_27a) A_27b)) V0R1)) V3R2)) V6f)) V7g)) b)
% 222.54/222.83  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 222.54/222.83  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 222.54/222.83  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 222.54/222.83  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 222.54/222.83  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 225.24/225.54  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 225.24/225.54  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 225.24/225.54  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 225.24/225.54  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 225.24/225.54  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 225.24/225.54  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 225.24/225.54  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 225.24/225.54  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 252.71/253.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 252.71/253.04  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 252.71/253.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))):((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 252.71/253.04  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 252.71/253.04  Found (stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))))) as proof of ((mem (inj__o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))))) bool)
% 252.71/253.04  Found x10:(P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 252.71/253.04  Found (fun (x10:(P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x10) as proof of (P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))
% 252.71/253.04  Found (fun (P0:(fofType->Prop)) (x10:(P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x10) as proof of ((P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f))->(P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))
% 252.71/253.04  Found (fun (P0:(fofType->Prop)) (x10:(P0 ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)))=> x10) as proof of (P V6f)
% 252.71/253.04  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 257.15/257.47  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 257.15/257.47  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 257.15/257.48  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))):((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 257.15/257.48  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 257.15/257.48  Found (stp_inj_mem_o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))))) as proof of ((mem (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))))) bool)
% 257.15/257.48  Found stp_inj_mem_o0:=(stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))):((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 257.15/257.48  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 257.15/257.48  Found (stp_inj_mem_o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g))) as proof of ((mem (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V6f)) ((ap ((ap ((ap ((((c_2Equotient_2E_2D_2D_3E A_27c) A_27b) A_27a) A_27d)) V2rep1)) V4abs2)) V7g)))) bool)
% 257.15/257.48  Found stp_inj_mem_o0:=(stp_inj_mem_o (p (inj__o (p (inj__o (((eq fofType) ((ap ((ap ((ap ((((c_2Eq
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