TSTP Solution File: ITP018^2 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP018^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 13:23:48 EDT 2021
% Result : Timeout 300.06s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP018^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.00/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Fri Mar 19 01:41:22 EDT 2021
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.43/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.43/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/ITP001/ITP001^2.ax, trying next directory
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6e60>, <kernel.Type object at 0x9a6a28>) of role type named del_tp
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring del:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9aa050>, <kernel.Constant object at 0x9a6dd0>) of role type named bool
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring bool:del
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6cb0>, <kernel.Constant object at 0x9a6dd0>) of role type named ind
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring ind:del
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6e60>, <kernel.DependentProduct object at 0x9a6d88>) of role type named arr
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring arr:(del->(del->del))
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6c68>, <kernel.DependentProduct object at 0x9a6d88>) of role type named mem
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring mem:(fofType->(del->Prop))
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6cb0>, <kernel.DependentProduct object at 0x9a6e60>) of role type named ap
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring ap:(fofType->(fofType->fofType))
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6518>, <kernel.DependentProduct object at 0x9a6d40>) of role type named lam
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring lam:(del->((fofType->fofType)->fofType))
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6d88>, <kernel.DependentProduct object at 0x983d40>) of role type named p
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring p:(fofType->Prop)
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9a6c20>, <kernel.DependentProduct object at 0x983b00>) of role type named stp_inj_o
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring inj__o:(Prop->fofType)
% 0.43/0.61 FOF formula (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) of role axiom named stp_inj_surj_o
% 0.43/0.61 A new axiom: (forall (X:Prop), (((eq Prop) (p (inj__o X))) X))
% 0.43/0.61 FOF formula (forall (X:Prop), ((mem (inj__o X)) bool)) of role axiom named stp_inj_mem_o
% 0.43/0.61 A new axiom: (forall (X:Prop), ((mem (inj__o X)) bool))
% 0.43/0.61 FOF formula (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) of role axiom named stp_iso_mem_o
% 0.43/0.61 A new axiom: (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X)))))
% 0.43/0.61 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
% 0.43/0.61 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)))))
% 0.43/0.61 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
% 0.43/0.61 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))))
% 0.43/0.61 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
% 0.43/0.61 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))))))
% 0.43/0.61 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
% 0.43/0.61 A new axiom: (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X))))
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x2b61cce85bd8>, <kernel.Constant object at 0x2b61cce85830>) of role type named tp_ty_2Erealax_2Ereal
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring ty_2Erealax_2Ereal:del
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x2b61cce85680>, <kernel.Type object at 0x9aa368>) of role type named stp_ty_2Erealax_2Ereal
% 0.43/0.61 Using role type
% 0.43/0.61 Declaring tp__ty_2Erealax_2Ereal:Type
% 0.43/0.61 FOF formula (<kernel.Constant object at 0x9aa050>, <kernel.DependentProduct object at 0x9a60e0>) of role type named stp_inj_ty_2Erealax_2Ereal
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring inj__ty_2Erealax_2Ereal:(tp__ty_2Erealax_2Ereal->fofType)
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b61cce855f0>, <kernel.DependentProduct object at 0x9a6950>) of role type named stp_surj_ty_2Erealax_2Ereal
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring surj__ty_2Erealax_2Ereal:(fofType->tp__ty_2Erealax_2Ereal)
% 0.43/0.62 FOF formula (forall (X:tp__ty_2Erealax_2Ereal), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal X))) X)) of role axiom named stp_inj_surj_ty_2Erealax_2Ereal
% 0.43/0.62 A new axiom: (forall (X:tp__ty_2Erealax_2Ereal), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal X))) X))
% 0.43/0.62 FOF formula (forall (X:tp__ty_2Erealax_2Ereal), ((mem (inj__ty_2Erealax_2Ereal X)) ty_2Erealax_2Ereal)) of role axiom named stp_inj_mem_ty_2Erealax_2Ereal
% 0.43/0.62 A new axiom: (forall (X:tp__ty_2Erealax_2Ereal), ((mem (inj__ty_2Erealax_2Ereal X)) ty_2Erealax_2Ereal))
% 0.43/0.62 FOF formula (forall (X:fofType), (((mem X) ty_2Erealax_2Ereal)->(((eq fofType) X) (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal X))))) of role axiom named stp_iso_mem_ty_2Erealax_2Ereal
% 0.43/0.62 A new axiom: (forall (X:fofType), (((mem X) ty_2Erealax_2Ereal)->(((eq fofType) X) (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal X)))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b61cce85680>, <kernel.Single object at 0x9a6680>) of role type named tp_c_2Erealax_2Ereal__neg
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring c_2Erealax_2Ereal__neg:fofType
% 0.43/0.62 FOF formula ((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)) of role axiom named mem_c_2Erealax_2Ereal__neg
% 0.43/0.62 A new axiom: ((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x9a6e60>, <kernel.DependentProduct object at 0x9a6638>) of role type named stp_fo_c_2Erealax_2Ereal__neg
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring fo__c_2Erealax_2Ereal__neg:(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal)
% 0.43/0.62 FOF formula (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Ereal__neg X0))) ((ap c_2Erealax_2Ereal__neg) (inj__ty_2Erealax_2Ereal X0)))) of role axiom named stp_eq_fo_c_2Erealax_2Ereal__neg
% 0.43/0.62 A new axiom: (forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Ereal__neg X0))) ((ap c_2Erealax_2Ereal__neg) (inj__ty_2Erealax_2Ereal X0))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x9a6ef0>, <kernel.DependentProduct object at 0x9a6680>) of role type named tp_ty_2Ebinary__ieee_2Efloat
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring ty_2Ebinary__ieee_2Efloat:(del->(del->del))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x9a60e0>, <kernel.DependentProduct object at 0x9a6ef0>) of role type named tp_c_2Ebinary__ieee_2Efloat__negate
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring c_2Ebinary__ieee_2Efloat__negate:(del->(del->fofType))
% 0.43/0.62 FOF formula (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((arr ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)) ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)))) of role axiom named mem_c_2Ebinary__ieee_2Efloat__negate
% 0.43/0.62 A new axiom: (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((arr ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)) ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x9a6cb0>, <kernel.DependentProduct object at 0x9a6638>) of role type named tp_ty_2Epair_2Eprod
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring ty_2Epair_2Eprod:(del->(del->del))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x9a6ef0>, <kernel.DependentProduct object at 0x9a6bd8>) of role type named tp_ty_2Ebool_2Eitself
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring ty_2Ebool_2Eitself:(del->del)
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x9a67e8>, <kernel.DependentProduct object at 0x9a6ef0>) of role type named tp_c_2Ebinary__ieee_2Efloat__plus__min
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring c_2Ebinary__ieee_2Efloat__plus__min:(del->(del->fofType))
% 0.43/0.62 FOF formula (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) ((arr (ty_2Ebool_2Eitself ((ty_2Epair_2Eprod A_27t) A_27w))) ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)))) of role axiom named mem_c_2Ebinary__ieee_2Efloat__plus__min
% 0.47/0.63 A new axiom: (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) ((arr (ty_2Ebool_2Eitself ((ty_2Epair_2Eprod A_27t) A_27w))) ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x9a6638>, <kernel.DependentProduct object at 0x9a6170>) of role type named tp_c_2Ebinary__ieee_2Efloat__to__real
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring c_2Ebinary__ieee_2Efloat__to__real:(del->(del->fofType))
% 0.47/0.63 FOF formula (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((arr ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Ebinary__ieee_2Efloat__to__real
% 0.47/0.63 A new axiom: (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((arr ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)) ty_2Erealax_2Ereal)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x9a6170>, <kernel.DependentProduct object at 0x9a6a70>) of role type named tp_c_2Ebool_2Ethe__value
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring c_2Ebool_2Ethe__value:(del->fofType)
% 0.47/0.63 FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2Ethe__value A_27a)) (ty_2Ebool_2Eitself A_27a))) of role axiom named mem_c_2Ebool_2Ethe__value
% 0.47/0.63 A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2Ethe__value A_27a)) (ty_2Ebool_2Eitself A_27a)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x9a64d0>, <kernel.DependentProduct object at 0x9a6200>) of role type named tp_c_2Ebinary__ieee_2Eulp
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring c_2Ebinary__ieee_2Eulp:(del->(del->fofType))
% 0.47/0.63 FOF formula (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) ((arr (ty_2Ebool_2Eitself ((ty_2Epair_2Eprod A_27t) A_27w))) ty_2Erealax_2Ereal))) of role axiom named mem_c_2Ebinary__ieee_2Eulp
% 0.47/0.63 A new axiom: (forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) ((arr (ty_2Ebool_2Eitself ((ty_2Epair_2Eprod A_27t) A_27w))) ty_2Erealax_2Ereal)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x9a6f80>, <kernel.Single object at 0x9a6c20>) 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 0x9a6f80>, <kernel.DependentProduct object at 0x9a6560>) of role type named tp_c_2Emin_2E_3D
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring c_2Emin_2E_3D:(del->fofType)
% 0.47/0.63 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
% 0.47/0.63 A new axiom: (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool))))
% 0.47/0.63 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
% 0.47/0.63 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))))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b61cce88488>, <kernel.DependentProduct object at 0x9a6dd0>) of role type named tp_c_2Ebool_2E_21
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring c_2Ebool_2E_21:(del->fofType)
% 0.47/0.63 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
% 0.47/0.63 A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.47/0.63 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
% 0.47/0.63 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)))))))
% 0.47/0.63 FOF formula (forall (A_27a:del) (A_27b:del) (V0x:fofType), (((mem V0x) ((ty_2Ebinary__ieee_2Efloat A_27a) A_27b))->(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27a) A_27b)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27a) A_27b)) V0x)))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27a) A_27b)) V0x)))))) of role axiom named conj_thm_2Ebinary__ieee_2Efloat__to__real__negate
% 0.47/0.64 A new axiom: (forall (A_27a:del) (A_27b:del) (V0x:fofType), (((mem V0x) ((ty_2Ebinary__ieee_2Efloat A_27a) A_27b))->(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27a) A_27b)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27a) A_27b)) V0x)))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27a) A_27b)) V0x))))))
% 0.47/0.64 FOF formula (forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) of role axiom named conj_thm_2Ebinary__ieee_2Eulp
% 0.47/0.64 A new axiom: (forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 0.47/0.64 FOF formula True of role axiom named conj_thm_2Ebool_2ETRUTH
% 0.47/0.64 A new axiom: True
% 0.47/0.64 FOF formula (forall (A_27a:del) (V0x:fofType), (((mem V0x) A_27a)->((iff (((eq fofType) V0x) V0x)) True))) of role axiom named conj_thm_2Ebool_2EREFL__CLAUSE
% 0.47/0.64 A new axiom: (forall (A_27a:del) (V0x:fofType), (((mem V0x) A_27a)->((iff (((eq fofType) V0x) V0x)) True)))
% 0.47/0.64 FOF formula (forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) of role conjecture named conj_thm_2Ebinary__ieee_2Eneg__ulp
% 0.47/0.64 Conjecture to prove = (forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))):Prop
% 0.47/0.64 Parameter tp__ty_2Erealax_2Ereal_DUMMY:tp__ty_2Erealax_2Ereal.
% 0.47/0.64 We need to prove ['(forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))']
% 0.47/0.64 Parameter del:Type.
% 0.47/0.64 Parameter bool:del.
% 0.47/0.64 Parameter ind:del.
% 0.47/0.64 Parameter arr:(del->(del->del)).
% 0.47/0.64 Parameter fofType:Type.
% 0.47/0.64 Parameter mem:(fofType->(del->Prop)).
% 0.47/0.64 Parameter ap:(fofType->(fofType->fofType)).
% 0.47/0.64 Parameter lam:(del->((fofType->fofType)->fofType)).
% 0.47/0.64 Parameter p:(fofType->Prop).
% 0.47/0.64 Parameter inj__o:(Prop->fofType).
% 0.47/0.64 Axiom stp_inj_surj_o:(forall (X:Prop), (((eq Prop) (p (inj__o X))) X)).
% 0.47/0.64 Axiom stp_inj_mem_o:(forall (X:Prop), ((mem (inj__o X)) bool)).
% 0.47/0.64 Axiom stp_iso_mem_o:(forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))).
% 0.47/0.64 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))))).
% 0.47/0.64 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)))).
% 0.47/0.64 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)))))).
% 0.47/0.64 Axiom beta:(forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))).
% 0.47/0.64 Parameter ty_2Erealax_2Ereal:del.
% 0.47/0.64 Parameter tp__ty_2Erealax_2Ereal:Type.
% 0.47/0.64 Parameter inj__ty_2Erealax_2Ereal:(tp__ty_2Erealax_2Ereal->fofType).
% 0.47/0.64 Parameter surj__ty_2Erealax_2Ereal:(fofType->tp__ty_2Erealax_2Ereal).
% 0.47/0.64 Axiom stp_inj_surj_ty_2Erealax_2Ereal:(forall (X:tp__ty_2Erealax_2Ereal), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal X))) X)).
% 0.47/0.64 Axiom stp_inj_mem_ty_2Erealax_2Ereal:(forall (X:tp__ty_2Erealax_2Ereal), ((mem (inj__ty_2Erealax_2Ereal X)) ty_2Erealax_2Ereal)).
% 0.47/0.64 Axiom stp_iso_mem_ty_2Erealax_2Ereal:(forall (X:fofType), (((mem X) ty_2Erealax_2Ereal)->(((eq fofType) X) (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal X))))).
% 0.47/0.64 Parameter c_2Erealax_2Ereal__neg:fofType.
% 0.47/0.64 Axiom mem_c_2Erealax_2Ereal__neg:((mem c_2Erealax_2Ereal__neg) ((arr ty_2Erealax_2Ereal) ty_2Erealax_2Ereal)).
% 0.47/0.64 Parameter fo__c_2Erealax_2Ereal__neg:(tp__ty_2Erealax_2Ereal->tp__ty_2Erealax_2Ereal).
% 0.47/0.64 Axiom stp_eq_fo_c_2Erealax_2Ereal__neg:(forall (X0:tp__ty_2Erealax_2Ereal), (((eq fofType) (inj__ty_2Erealax_2Ereal (fo__c_2Erealax_2Ereal__neg X0))) ((ap c_2Erealax_2Ereal__neg) (inj__ty_2Erealax_2Ereal X0)))).
% 0.47/0.64 Parameter ty_2Ebinary__ieee_2Efloat:(del->(del->del)).
% 0.47/0.64 Parameter c_2Ebinary__ieee_2Efloat__negate:(del->(del->fofType)).
% 0.47/0.64 Axiom mem_c_2Ebinary__ieee_2Efloat__negate:(forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((arr ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)) ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)))).
% 0.47/0.64 Parameter ty_2Epair_2Eprod:(del->(del->del)).
% 0.47/0.64 Parameter ty_2Ebool_2Eitself:(del->del).
% 0.47/0.64 Parameter c_2Ebinary__ieee_2Efloat__plus__min:(del->(del->fofType)).
% 0.47/0.64 Axiom mem_c_2Ebinary__ieee_2Efloat__plus__min:(forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) ((arr (ty_2Ebool_2Eitself ((ty_2Epair_2Eprod A_27t) A_27w))) ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)))).
% 0.47/0.64 Parameter c_2Ebinary__ieee_2Efloat__to__real:(del->(del->fofType)).
% 0.47/0.64 Axiom mem_c_2Ebinary__ieee_2Efloat__to__real:(forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((arr ((ty_2Ebinary__ieee_2Efloat A_27t) A_27w)) ty_2Erealax_2Ereal))).
% 0.47/0.64 Parameter c_2Ebool_2Ethe__value:(del->fofType).
% 0.47/0.64 Axiom mem_c_2Ebool_2Ethe__value:(forall (A_27a:del), ((mem (c_2Ebool_2Ethe__value A_27a)) (ty_2Ebool_2Eitself A_27a))).
% 0.47/0.64 Parameter c_2Ebinary__ieee_2Eulp:(del->(del->fofType)).
% 0.47/0.64 Axiom mem_c_2Ebinary__ieee_2Eulp:(forall (A_27t:del) (A_27w:del), ((mem ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) ((arr (ty_2Ebool_2Eitself ((ty_2Epair_2Eprod A_27t) A_27w))) ty_2Erealax_2Ereal))).
% 0.47/0.64 Parameter c_2Ebool_2ET:fofType.
% 0.47/0.64 Axiom mem_c_2Ebool_2ET:((mem c_2Ebool_2ET) bool).
% 0.47/0.64 Axiom ax_true_p:(p c_2Ebool_2ET).
% 0.47/0.64 Parameter c_2Emin_2E_3D:(del->fofType).
% 0.47/0.64 Axiom mem_c_2Emin_2E_3D:(forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))).
% 0.47/0.64 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)))))).
% 0.47/0.64 Parameter c_2Ebool_2E_21:(del->fofType).
% 0.47/0.64 Axiom mem_c_2Ebool_2E_21:(forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool))).
% 0.47/0.64 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))))))).
% 0.47/0.64 Axiom conj_thm_2Ebinary__ieee_2Efloat__to__real__negate:(forall (A_27a:del) (A_27b:del) (V0x:fofType), (((mem V0x) ((ty_2Ebinary__ieee_2Efloat A_27a) A_27b))->(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27a) A_27b)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27a) A_27b)) V0x)))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27a) A_27b)) V0x)))))).
% 4.94/5.15 Axiom conj_thm_2Ebinary__ieee_2Eulp:(forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))).
% 4.94/5.15 Axiom conj_thm_2Ebool_2ETRUTH:True.
% 4.94/5.15 Axiom conj_thm_2Ebool_2EREFL__CLAUSE:(forall (A_27a:del) (V0x:fofType), (((mem V0x) A_27a)->((iff (((eq fofType) V0x) V0x)) True))).
% 4.94/5.15 Trying to prove (forall (A_27t:del) (A_27w:del), (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))
% 4.94/5.15 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 4.94/5.15 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 11.58/11.77 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 11.58/11.77 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 11.58/11.77 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 11.58/11.77 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 11.58/11.77 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 11.58/11.77 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 11.58/11.77 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 11.58/11.77 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 12.27/12.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 12.27/12.44 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 12.27/12.44 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 12.27/12.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 12.27/12.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 12.27/12.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 12.27/12.44 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 12.27/12.44 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 14.29/14.45 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 14.29/14.45 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 14.29/14.45 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 14.29/14.45 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 14.29/14.45 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 14.29/14.45 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 14.29/14.45 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 14.29/14.45 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 14.29/14.45 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 14.29/14.45 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 14.29/14.45 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 14.29/14.45 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 15.27/15.47 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 15.27/15.47 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 15.27/15.47 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 15.27/15.47 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 15.27/15.47 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 15.27/15.47 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 15.27/15.47 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 23.92/24.12 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 23.92/24.12 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 23.92/24.12 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 23.92/24.12 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 23.92/24.12 Found x2:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 23.92/24.12 Found (fun (x2:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 23.92/24.12 Found (fun (x2:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 23.92/24.12 Found x2:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 23.92/24.12 Found (fun (x2:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 23.92/24.12 Found (fun (x2:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 23.92/24.12 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 23.92/24.12 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 24.28/24.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 24.28/24.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 24.28/24.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 24.28/24.49 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 24.28/24.49 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 24.28/24.49 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 24.28/24.49 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 24.28/24.49 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 24.28/24.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 24.28/24.49 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 24.28/24.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 24.28/24.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.41/25.57 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.41/25.57 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 25.41/25.57 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.41/25.57 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.41/25.57 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.41/25.57 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.41/25.57 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 25.41/25.57 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.41/25.57 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.41/25.57 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.41/25.57 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.41/25.57 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 25.76/26.00 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.76/26.00 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.76/26.00 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.76/26.00 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 25.76/26.00 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 25.76/26.00 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.76/26.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.76/26.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.76/26.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 25.76/26.00 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 25.76/26.00 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 27.51/27.67 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 27.51/27.67 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 27.51/27.67 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 27.51/27.67 Found x:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 27.51/27.67 Instantiate: b:=(surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):tp__ty_2Erealax_2Ereal
% 27.51/27.67 Found x as proof of (P0 b)
% 27.51/27.67 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 27.51/27.67 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 27.51/27.67 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 33.26/33.46 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 33.26/33.46 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 33.26/33.47 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 33.26/33.47 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 33.26/33.47 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 33.26/33.47 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 33.26/33.47 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 33.26/33.47 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 33.26/33.47 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 33.26/33.47 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 34.18/34.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 34.18/34.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 34.18/34.38 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 34.18/34.38 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 34.18/34.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 34.18/34.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 34.18/34.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 36.54/36.74 Found x:(P0 b)
% 36.54/36.74 Instantiate: b:=(surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):tp__ty_2Erealax_2Ereal
% 36.54/36.74 Found (fun (x:(P0 b))=> x) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 36.54/36.74 Found (fun (P0:(tp__ty_2Erealax_2Ereal->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 36.54/36.74 Found (fun (P0:(tp__ty_2Erealax_2Ereal->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 36.54/36.74 Found x:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 36.54/36.74 Instantiate: b:=(surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):tp__ty_2Erealax_2Ereal
% 36.54/36.74 Found x as proof of (P0 b)
% 36.54/36.74 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 36.54/36.74 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 36.54/36.74 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 36.54/36.74 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 36.54/36.74 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 36.54/36.74 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.54/36.74 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 36.54/36.74 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 38.03/38.21 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 38.03/38.21 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 38.03/38.21 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 38.03/38.21 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 38.03/38.21 Found x:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Instantiate: a:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 38.03/38.21 Found x as proof of (P0 (surj__ty_2Erealax_2Ereal a))
% 38.03/38.21 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 38.03/38.21 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 38.03/38.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 38.03/38.21 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 40.05/40.21 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 40.05/40.21 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 40.05/40.21 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 40.05/40.21 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 40.05/40.21 Found x3:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found (fun (x3:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found (fun (x3:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 40.05/40.21 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 42.23/42.44 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 42.23/42.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 42.23/42.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 42.23/42.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 42.23/42.44 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 42.23/42.44 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 42.23/42.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 42.23/42.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 42.23/42.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 42.23/42.44 Found x:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 42.23/42.44 Instantiate: b:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 42.23/42.44 Found x as proof of (P0 b)
% 42.23/42.44 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 43.05/43.23 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 43.05/43.23 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 43.05/43.23 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 43.05/43.23 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 43.05/43.23 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 43.05/43.23 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 43.05/43.23 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 43.05/43.23 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 43.05/43.23 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 43.63/43.81 Found eq_ref00:=(eq_ref0 b0):(((eq tp__ty_2Erealax_2Ereal) b0) b0)
% 43.63/43.81 Found (eq_ref0 b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 43.63/43.81 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 43.63/43.81 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 43.63/43.81 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 43.63/43.81 Found x:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 43.63/43.81 Instantiate: b:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 43.63/43.81 Found x as proof of (P0 b)
% 43.63/43.81 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 43.63/43.81 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 43.63/43.81 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 43.63/43.81 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 52.20/52.38 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 52.20/52.38 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 52.20/52.38 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.20/52.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.20/52.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.20/52.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.20/52.38 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 52.20/52.38 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.20/52.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.20/52.38 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.49/52.65 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.49/52.65 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 52.49/52.65 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.49/52.65 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.49/52.65 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.49/52.65 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.49/52.65 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 52.49/52.65 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.49/52.65 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.49/52.65 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.81/53.01 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.81/53.01 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 52.81/53.01 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.81/53.01 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.81/53.01 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.81/53.01 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 52.81/53.01 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 52.81/53.01 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.81/53.01 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 52.81/53.01 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 59.22/59.39 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 59.22/59.39 Found x2:(P b)
% 59.22/59.39 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 59.22/59.39 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 59.22/59.39 Found x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.22/59.39 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.22/59.39 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P2 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.22/59.39 Found x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.22/59.39 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.22/59.39 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P2 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.22/59.39 Found x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 59.53/59.74 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 59.53/59.74 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P2 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 59.53/59.74 Found x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 59.53/59.74 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 59.53/59.74 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P2 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 59.53/59.74 Found x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.53/59.74 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.53/59.74 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P2 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.53/59.74 Found x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.53/59.74 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 59.53/59.74 Found (fun (x2:(P1 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P2 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 65.88/66.10 Found x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 65.88/66.10 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 65.88/66.10 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P2 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 65.88/66.10 Found x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 65.88/66.10 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 65.88/66.10 Found (fun (x2:(P1 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P2 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 65.88/66.10 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 65.88/66.10 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 65.88/66.10 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 65.88/66.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.88/66.10 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 65.88/66.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 66.32/66.52 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.32/66.52 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.32/66.52 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.32/66.52 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.32/66.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 66.32/66.52 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.32/66.52 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 66.32/66.52 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 66.92/67.09 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.92/67.09 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.92/67.09 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.92/67.09 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 66.92/67.09 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 66.92/67.09 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 66.92/67.09 Found x:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 67.83/68.07 Instantiate: a:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 67.83/68.07 Found x as proof of (P0 (surj__ty_2Erealax_2Ereal a))
% 67.83/68.07 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 67.83/68.07 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 67.83/68.07 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 67.83/68.07 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 67.83/68.07 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 67.83/68.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 67.83/68.07 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 67.83/68.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 67.83/68.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 67.83/68.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 67.83/68.07 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 67.83/68.07 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 67.83/68.07 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 67.83/68.07 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 67.83/68.07 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 70.76/71.01 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.76/71.01 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 70.76/71.01 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 70.76/71.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 70.76/71.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 70.76/71.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 70.76/71.01 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 70.76/71.01 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 70.76/71.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.41/71.58 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 71.41/71.58 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 71.41/71.58 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 71.41/71.58 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 71.41/71.58 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 71.41/71.58 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.41/71.58 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 71.41/71.58 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 71.41/71.58 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 71.88/72.06 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 71.88/72.06 Found x:(P0 b)
% 71.88/72.06 Instantiate: b:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 71.88/72.06 Found (fun (x:(P0 b))=> x) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 71.88/72.06 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.88/72.06 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 71.88/72.06 Found x3:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 71.88/72.06 Found (fun (x3:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x3) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 71.88/72.06 Found (fun (x3:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x3) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 71.88/72.06 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 71.88/72.06 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.88/72.06 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.88/72.06 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.88/72.06 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 71.88/72.06 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 74.25/74.44 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 74.25/74.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 74.25/74.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 74.25/74.44 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 74.25/74.44 Found x:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 74.25/74.44 Instantiate: b:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 74.25/74.44 Found x as proof of (P0 b)
% 74.25/74.44 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 74.25/74.44 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 74.25/74.44 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 74.71/74.91 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 74.71/74.91 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 74.71/74.91 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 74.71/74.91 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 74.71/74.91 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 74.71/74.91 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 74.71/74.91 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 74.71/74.91 Found x:(P0 b)
% 74.71/74.91 Instantiate: b:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 74.71/74.91 Found (fun (x:(P0 b))=> x) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 74.71/74.91 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 78.96/79.15 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 78.96/79.15 Found x:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 78.96/79.15 Instantiate: b:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 78.96/79.15 Found x as proof of (P0 b)
% 78.96/79.15 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 78.96/79.15 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 78.96/79.15 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 78.96/79.15 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 78.96/79.15 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 78.96/79.15 Found eq_ref00:=(eq_ref0 b0):(((eq tp__ty_2Erealax_2Ereal) b0) b0)
% 78.96/79.15 Found (eq_ref0 b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 78.96/79.15 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 78.96/79.15 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 78.96/79.15 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 78.96/79.15 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 83.25/83.45 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 83.25/83.45 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 83.25/83.45 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 83.25/83.45 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 83.25/83.45 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 83.25/83.45 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 83.25/83.45 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 83.25/83.45 Found x:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 83.25/83.45 Instantiate: b:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 83.25/83.45 Found x as proof of (P0 b)
% 83.25/83.45 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 86.57/86.75 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found x:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 86.57/86.75 Instantiate: b:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 86.57/86.75 Found x as proof of (P0 b)
% 86.57/86.75 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 86.57/86.75 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 86.57/86.75 Found x3:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 86.57/86.75 Found (fun (x3:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x3) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 89.27/89.49 Found (fun (x3:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x3) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 89.27/89.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 89.27/89.49 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 89.27/89.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 89.27/89.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 89.27/89.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 89.27/89.49 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 89.27/89.49 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 89.27/89.49 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 89.27/89.49 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 89.27/89.49 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 89.27/89.49 Found x3:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 89.27/89.49 Found (fun (x3:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x3) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 89.27/89.49 Found (fun (x3:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x3) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 90.70/90.91 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 90.70/90.91 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 90.70/90.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 90.70/90.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 90.70/90.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 90.70/90.91 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 90.70/90.91 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 90.70/90.91 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 90.70/90.91 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 90.70/90.91 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 90.70/90.91 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 90.70/90.91 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 90.70/90.91 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 90.70/90.91 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 90.70/90.91 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 90.70/90.91 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 90.70/90.91 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 93.36/93.62 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 93.36/93.62 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 93.36/93.62 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 93.36/93.62 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 93.36/93.62 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 93.36/93.62 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 93.36/93.62 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 93.36/93.62 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 93.36/93.62 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 93.36/93.62 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 93.36/93.62 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 93.36/93.62 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 93.36/93.62 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 97.50/97.68 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 97.50/97.68 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 97.50/97.68 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 97.50/97.68 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 97.50/97.68 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 97.50/97.68 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 97.50/97.68 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 97.50/97.68 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 97.50/97.68 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 97.50/97.68 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 109.76/110.01 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 109.76/110.01 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 109.76/110.01 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 109.76/110.01 Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 109.76/110.01 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 109.76/110.01 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 109.76/110.01 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 109.76/110.01 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 109.76/110.01 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 109.76/110.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 109.76/110.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 109.76/110.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 113.28/113.50 Found eq_ref00:=(eq_ref0 b0):(((eq tp__ty_2Erealax_2Ereal) b0) b0)
% 113.28/113.50 Found (eq_ref0 b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) b)
% 113.28/113.50 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) b)
% 113.28/113.50 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) b)
% 113.28/113.50 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) b)
% 113.28/113.50 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 113.28/113.50 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 113.28/113.50 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 113.28/113.50 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 113.28/113.50 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b0)
% 113.28/113.50 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 114.59/114.79 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 114.59/114.79 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 114.59/114.79 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 114.59/114.79 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 114.59/114.79 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 114.59/114.79 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 114.59/114.79 Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 114.59/114.79 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 129.55/129.85 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 129.55/129.85 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 129.55/129.85 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 129.55/129.85 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 129.55/129.85 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 129.55/129.85 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 129.55/129.85 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b0)
% 129.55/129.85 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 129.55/129.85 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 129.55/129.85 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 129.55/129.85 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 130.53/130.76 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.02/138.28 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 138.02/138.28 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 138.61/138.91 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 138.61/138.91 Found stp_inj_surj_ty_2Erealax_2Ereal0:=(stp_inj_surj_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.61/138.91 Instantiate: b:=(surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):tp__ty_2Erealax_2Ereal
% 138.61/138.91 Found stp_inj_surj_ty_2Erealax_2Ereal0 as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) b)
% 138.61/138.91 Found x:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 138.61/138.91 Instantiate: b:=(surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):tp__ty_2Erealax_2Ereal
% 138.61/138.91 Found x as proof of (P0 b)
% 138.61/138.91 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.61/138.91 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.61/138.91 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 138.61/138.91 Found x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 139.74/140.05 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 139.74/140.05 Found (fun (x2:(P1 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x2) as proof of (P2 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 139.74/140.05 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 139.74/140.05 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 139.74/140.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 139.74/140.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 139.74/140.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 139.74/140.05 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 139.74/140.05 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 139.74/140.05 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 139.74/140.05 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.19/140.42 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.19/140.42 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 140.19/140.42 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.19/140.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.19/140.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.19/140.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.19/140.42 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 140.19/140.42 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.19/140.42 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.19/140.42 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.19/140.42 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.97/141.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 140.97/141.21 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.97/141.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.97/141.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.97/141.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.97/141.21 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 140.97/141.21 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.97/141.21 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.97/141.21 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.97/141.21 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 140.97/141.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 140.97/141.21 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.97/141.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 140.97/141.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 141.51/141.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 141.51/141.76 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 141.51/141.76 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 141.51/141.76 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 141.51/141.76 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 141.51/141.76 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 141.51/141.76 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 141.51/141.76 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 141.51/141.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 141.51/141.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 141.51/141.76 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 141.51/141.76 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 142.27/142.53 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.27/142.53 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.27/142.53 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.27/142.53 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.27/142.53 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.27/142.53 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.27/142.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.27/142.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.27/142.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.27/142.53 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 142.56/142.84 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.56/142.84 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.56/142.84 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.56/142.84 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.56/142.84 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.56/142.84 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.56/142.84 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.56/142.84 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.56/142.84 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.56/142.84 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 142.56/142.84 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.85/143.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.85/143.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.85/143.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.85/143.12 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 142.85/143.12 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.85/143.12 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.85/143.12 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.85/143.12 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 142.85/143.12 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 142.85/143.12 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 142.85/143.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.33/143.63 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.33/143.63 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.33/143.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 143.33/143.63 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.33/143.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.33/143.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.33/143.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.33/143.63 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 143.33/143.63 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.33/143.63 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.33/143.63 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.73/143.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.73/143.94 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 143.73/143.94 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.73/143.94 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.73/143.94 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.73/143.94 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 143.73/143.94 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 143.73/143.94 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.73/143.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.73/143.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 143.73/143.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 147.64/147.90 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 147.64/147.90 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 147.64/147.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 147.64/147.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 147.64/147.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 147.64/147.90 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 147.64/147.90 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 147.64/147.90 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 147.64/147.90 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 147.64/147.90 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 147.64/147.90 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 147.64/147.90 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 147.64/147.90 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 148.38/148.65 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.38/148.65 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.38/148.65 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.38/148.65 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.38/148.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.38/148.65 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.38/148.65 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 148.83/149.10 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.83/149.10 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.83/149.10 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.83/149.10 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 148.83/149.10 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 148.83/149.10 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.83/149.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.83/149.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.83/149.10 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 148.83/149.10 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 152.68/152.95 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 152.68/152.95 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 152.68/152.95 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 152.68/152.95 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 152.68/152.95 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 152.68/152.95 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 152.68/152.95 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 152.68/152.95 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 152.68/152.95 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 153.72/153.97 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 153.72/153.97 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 153.72/153.97 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 153.72/153.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 153.72/153.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 153.72/153.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 153.72/153.97 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 153.72/153.97 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 153.72/153.97 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 153.72/153.97 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 153.72/153.97 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.34/154.62 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.34/154.62 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.34/154.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.34/154.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.34/154.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.34/154.62 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 154.34/154.62 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.34/154.62 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.34/154.62 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.34/154.62 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.34/154.62 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.34/154.62 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 154.72/155.01 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.72/155.01 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.72/155.01 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.72/155.01 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 154.72/155.01 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.72/155.01 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 154.72/155.01 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.16/155.41 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 155.16/155.41 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.16/155.41 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.16/155.41 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.16/155.41 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.16/155.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 155.16/155.41 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.16/155.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.16/155.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.16/155.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.16/155.41 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 155.46/155.70 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.46/155.70 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.46/155.70 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.46/155.70 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 155.46/155.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 155.46/155.70 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.46/155.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.46/155.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.46/155.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 155.46/155.70 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 155.46/155.70 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 159.87/160.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 159.87/160.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 159.87/160.12 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 159.87/160.12 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 159.87/160.12 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 159.87/160.12 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 159.87/160.12 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 159.87/160.12 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 159.87/160.12 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 159.87/160.12 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 165.37/165.64 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 165.37/165.64 Found x:(P0 b)
% 165.37/165.64 Instantiate: b:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 165.37/165.64 Found (fun (x:(P0 b))=> x) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 165.37/165.64 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 165.37/165.64 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 165.37/165.64 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 165.37/165.64 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 165.37/165.64 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 165.37/165.64 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 165.37/165.64 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 165.37/165.64 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 165.37/165.64 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 165.37/165.64 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 165.37/165.64 Found x:(P0 b)
% 165.37/165.64 Instantiate: b:=((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):fofType
% 165.37/165.64 Found (fun (x:(P0 b))=> x) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 171.70/171.94 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 171.70/171.94 Found (fun (P0:(fofType->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 171.70/171.94 Found x:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 171.70/171.94 Instantiate: b:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 171.70/171.94 Found x as proof of (P0 b)
% 171.70/171.94 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 171.70/171.94 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 171.70/171.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 171.70/171.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 171.70/171.94 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 171.70/171.94 Found x:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 171.70/171.94 Instantiate: b:=((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))):fofType
% 171.70/171.94 Found x as proof of (P0 b)
% 171.70/171.94 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.62/174.89 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 174.62/174.89 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 174.62/174.89 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 174.62/174.89 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 174.62/174.89 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 174.62/174.89 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.62/174.89 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.62/174.89 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.62/174.89 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.62/174.89 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 174.83/175.13 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 174.83/175.13 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 174.83/175.13 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 174.83/175.13 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 174.83/175.13 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 174.83/175.13 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.83/175.13 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.83/175.13 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.83/175.13 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 174.83/175.13 Found eq_ref00:=(eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 178.71/178.95 Found (eq_ref0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 178.71/178.95 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 178.71/178.95 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 178.71/178.95 Found ((eq_ref tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) b)
% 178.71/178.95 Found x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 178.71/178.95 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 178.71/178.95 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 179.35/179.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 179.35/179.61 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.35/179.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.35/179.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.35/179.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.35/179.61 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 179.35/179.61 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.35/179.61 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.35/179.61 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.35/179.61 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.35/179.61 Found x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 179.35/179.61 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 179.69/179.97 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 179.69/179.97 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 179.69/179.97 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.69/179.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.69/179.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.69/179.97 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 179.69/179.97 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 179.69/179.97 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.69/179.97 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.69/179.97 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 179.69/179.97 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 182.04/182.28 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 182.04/182.28 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 182.04/182.28 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 182.04/182.28 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 182.04/182.28 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 182.04/182.28 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 182.04/182.28 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 182.04/182.28 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 182.04/182.28 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 182.04/182.28 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 182.04/182.28 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 184.10/184.34 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 184.10/184.34 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 184.10/184.34 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 184.10/184.34 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 184.10/184.34 Found x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 184.10/184.34 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 184.10/184.34 Found (fun (x2:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))=> x2) as proof of (P0 (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 184.10/184.34 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 184.10/184.34 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 184.10/184.34 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.15/185.45 Found x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.15/185.45 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.15/185.45 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.15/185.45 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 185.15/185.45 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.15/185.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.15/185.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.15/185.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.15/185.45 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.15/185.45 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 185.15/185.45 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 185.15/185.45 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 185.90/186.19 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 185.90/186.19 Found x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.90/186.19 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.90/186.19 Found (fun (x3:(P ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))=> x3) as proof of (P0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.90/186.19 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 185.90/186.19 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.90/186.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.90/186.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.90/186.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 185.90/186.19 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 185.90/186.19 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 185.90/186.19 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 189.55/189.82 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 189.55/189.82 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b)
% 189.55/189.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 189.55/189.82 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 189.55/189.82 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 189.55/189.82 Found (fun (x2:(P ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))=> x2) as proof of (P0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 189.55/189.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 189.55/189.82 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 189.55/189.82 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 189.55/189.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 203.34/203.57 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 203.34/203.57 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 203.34/203.57 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 203.34/203.57 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 203.34/203.57 Found (eq_ref0 a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))
% 203.34/203.57 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 203.34/203.57 Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.34/203.57 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.34/203.57 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.79/204.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.79/204.07 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 203.79/204.07 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 203.79/204.07 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 203.79/204.07 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 203.79/204.07 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 203.79/204.07 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 203.79/204.07 Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.79/204.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.79/204.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.79/204.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 203.79/204.07 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 204.71/204.98 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 204.71/204.98 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 204.71/204.98 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 204.71/204.98 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 204.71/204.98 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 204.71/204.98 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 204.71/204.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 204.71/204.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 204.71/204.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 204.71/204.98 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 206.84/207.14 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 206.84/207.14 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 206.84/207.14 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 206.84/207.14 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 206.84/207.14 Found eq_ref00:=(eq_ref0 b0):(((eq tp__ty_2Erealax_2Ereal) b0) b0)
% 206.84/207.14 Found (eq_ref0 b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 206.84/207.14 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 206.84/207.14 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 206.84/207.14 Found ((eq_ref tp__ty_2Erealax_2Ereal) b0) as proof of (((eq tp__ty_2Erealax_2Ereal) b0) (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 206.84/207.14 Found eq_ref00:=(eq_ref0 b):(((eq tp__ty_2Erealax_2Ereal) b) b)
% 206.84/207.14 Found (eq_ref0 b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) b0)
% 206.84/207.14 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) b0)
% 206.84/207.14 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) b0)
% 206.84/207.14 Found ((eq_ref tp__ty_2Erealax_2Ereal) b) as proof of (((eq tp__ty_2Erealax_2Ereal) b) b0)
% 206.84/207.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 206.84/207.14 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 206.84/207.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 206.84/207.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 209.71/209.99 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 209.71/209.99 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 209.71/209.99 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 209.71/209.99 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 209.71/209.99 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 209.71/209.99 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 209.71/209.99 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 209.71/209.99 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 209.71/209.99 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 209.71/209.99 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 209.71/209.99 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 209.71/209.99 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 209.71/209.99 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 209.71/209.99 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 210.75/211.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 210.75/211.01 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 210.75/211.01 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))))) ty_2Erealax_2Ereal)
% 210.75/211.01 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))))) ty_2Erealax_2Ereal)
% 210.75/211.01 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))))) ty_2Erealax_2Ereal)
% 210.75/211.01 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 211.71/211.96 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 211.71/211.96 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 211.71/211.96 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 211.71/211.96 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 211.71/211.96 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 211.71/211.96 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 211.71/211.96 Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 211.71/211.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 211.71/211.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 211.71/211.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 212.47/212.76 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 212.47/212.76 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 212.47/212.76 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 212.47/212.76 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 212.47/212.76 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 212.47/212.76 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.47/212.76 Found (eq_ref0 b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 212.47/212.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 212.47/212.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 212.47/212.76 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 212.47/212.76 Found eq_ref00:=(eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):(((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 213.75/214.02 Found (eq_ref0 ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 213.75/214.02 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 213.75/214.02 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 213.75/214.02 Found ((eq_ref fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of (((eq fofType) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) b0)
% 213.75/214.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 213.75/214.02 Found (eq_ref0 b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 213.75/214.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 213.75/214.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 213.75/214.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))
% 213.75/214.02 Found eq_ref00:=(eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))):(((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))
% 213.75/214.02 Found (eq_ref0 ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 245.69/245.98 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 245.69/245.98 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 245.69/245.98 Found ((eq_ref fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) as proof of (((eq fofType) ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))) b)
% 245.69/245.98 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) ty_2Erealax_2Ereal)
% 245.69/245.98 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) ty_2Erealax_2Ereal)
% 245.69/245.98 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) ty_2Erealax_2Ereal)
% 245.69/245.98 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 245.69/245.98 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 245.69/245.98 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 249.30/249.58 Found x:(P (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))
% 249.30/249.58 Instantiate: b:=(surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):tp__ty_2Erealax_2Ereal
% 249.30/249.58 Found x as proof of (P0 b)
% 249.30/249.58 Found stp_inj_surj_ty_2Erealax_2Ereal1:=(stp_inj_surj_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))):(((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))
% 249.30/249.58 Found (stp_inj_surj_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) b)
% 249.30/249.58 Found (stp_inj_surj_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) b)
% 249.30/249.58 Found (stp_inj_surj_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) as proof of (((eq tp__ty_2Erealax_2Ereal) (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) b)
% 249.30/249.58 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 249.30/249.58 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 249.58/249.84 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 249.58/249.84 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.58/249.84 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.58/249.84 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.58/249.84 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.58/249.84 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.92/250.20 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.92/250.20 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 249.92/250.20 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 249.92/250.20 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 249.92/250.20 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 249.92/250.20 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap ((c_2Ebinary__ieee_2Efloat__to__real A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__negate A_27t) A_27w)) ((ap ((c_2Ebinary__ieee_2Efloat__plus__min A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found stp_inj_mem_ty_2Erealax_2Ereal0:=(stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))):((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w)))))) as proof of ((mem (inj__ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2Ethe__value ((ty_2Epair_2Eprod A_27t) A_27w))))))) ty_2Erealax_2Ereal)
% 268.62/268.95 Found (stp_inj_mem_ty_2Erealax_2Ereal (surj__ty_2Erealax_2Ereal ((ap c_2Erealax_2Ereal__neg) ((ap ((c_2Ebinary__ieee_2Eulp A_27t) A_27w)) (c_2Ebool_2
%------------------------------------------------------------------------------