TSTP Solution File: ITP019^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP019^1 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 13:23:49 EDT 2021
% Result : Timeout 289.87s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ITP019^1 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n021.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 19 02:07:58 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
% 0.45/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71098>, <kernel.Type object at 0x1c71cb0>) of role type named u
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring u:Type
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2b2c73ff40e0>, <kernel.Type object at 0x1c71998>) of role type named d
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring d:Type
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71368>, <kernel.Type object at 0x1c71050>) of role type named du
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring du:Type
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71cb0>, <kernel.Type object at 0x1c71a28>) of role type named mono_2Etyop_2Enum_2Enum
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Etyop_2Enum_2Enum:Type
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71998>, <kernel.Type object at 0x1c71320>) of role type named mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:Type
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71050>, <kernel.Constant object at 0x1c71cb0>) of role type named tyop_2Emin_2Ebool
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring tyop_2Emin_2Ebool:d
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c713f8>, <kernel.DependentProduct object at 0x1c71a28>) of role type named tyop_2Emin_2Efun
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring tyop_2Emin_2Efun:(d->(d->d))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71908>, <kernel.Constant object at 0x1c71a28>) of role type named tyop_2Enum_2Enum
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring tyop_2Enum_2Enum:d
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71050>, <kernel.DependentProduct object at 0x1c71cb0>) of role type named tyop_2Epair_2Eprod
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring tyop_2Epair_2Eprod:(d->(d->d))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71440>, <kernel.Constant object at 0x1c71cb0>) of role type named tyop_2Erealax_2Ereal
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring tyop_2Erealax_2Ereal:d
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71908>, <kernel.DependentProduct object at 0x1c71a28>) of role type named s
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring s:(d->(u->du))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71170>, <kernel.DependentProduct object at 0x1c713f8>) of role type named app_2E2
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring app_2E2:(du->(du->u))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71cb0>, <kernel.Constant object at 0x1c713f8>) of role type named combin_i_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring combin_i_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71908>, <kernel.Constant object at 0x1c713f8>) of role type named combin_k_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring combin_k_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71170>, <kernel.Constant object at 0x1c713f8>) of role type named combin_s_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring combin_s_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71cb0>, <kernel.Constant object at 0x1c713f8>) of role type named c_2Ebool_2E_21_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_21_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71908>, <kernel.DependentProduct object at 0x1c71290>) of role type named c_2Ebool_2E_21_2E1
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_21_2E1:(du->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71440>, <kernel.Constant object at 0x1c71290>) of role type named c_2Ebool_2E_2F_5C_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_2F_5C_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71cb0>, <kernel.DependentProduct object at 0x1c713f8>) of role type named c_2Ebool_2E_2F_5C_2E2
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_2F_5C_2E2:(du->(du->u))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71518>, <kernel.Constant object at 0x1c713f8>) of role type named c_2Enum_2E0_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Enum_2E0_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71440>, <kernel.Constant object at 0x1c713f8>) of role type named c_2Emin_2E_3D_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Emin_2E_3D_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71cb0>, <kernel.DependentProduct object at 0x1c71050>) of role type named c_2Emin_2E_3D_2E2
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Emin_2E_3D_2E2:(du->(du->u))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71560>, <kernel.Constant object at 0x1c71050>) of role type named c_2Emin_2E_3D_3D_3E_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Emin_2E_3D_3D_3E_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71440>, <kernel.DependentProduct object at 0x1c713f8>) of role type named c_2Emin_2E_3D_3D_3E_2E2
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Emin_2E_3D_3D_3E_2E2:(du->(du->u))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c712d8>, <kernel.Constant object at 0x1c713f8>) of role type named c_2Ebool_2E_3F_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_3F_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71560>, <kernel.DependentProduct object at 0x1c71cb0>) of role type named c_2Ebool_2E_3F_2E1
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_3F_2E1:(du->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c715a8>, <kernel.Constant object at 0x1c71cb0>) of role type named c_2Ebool_2EF_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2EF_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c712d8>, <kernel.Constant object at 0x1c71cb0>) of role type named c_2Ebool_2ET_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2ET_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71560>, <kernel.Constant object at 0x1c71cb0>) of role type named c_2Ebool_2E_5C_2F_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_5C_2F_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c715a8>, <kernel.DependentProduct object at 0x1c714d0>) of role type named c_2Ebool_2E_5C_2F_2E2
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_5C_2F_2E2:(du->(du->u))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71f38>, <kernel.Constant object at 0x1c71cb0>) of role type named c_2Ecomplex_2Ecomplex__inv_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ecomplex_2Ecomplex__inv_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71758>, <kernel.DependentProduct object at 0x1c4f9e0>) of role type named c_2Ecomplex_2Ecomplex__inv_2E1
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ecomplex_2Ecomplex__inv_2E1:(du->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71710>, <kernel.Constant object at 0x1c710e0>) of role type named c_2Ecomplex_2Ecomplex__of__num_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ecomplex_2Ecomplex__of__num_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c710e0>, <kernel.DependentProduct object at 0x2b2c73ff2a70>) of role type named c_2Ecomplex_2Ecomplex__of__num_2E1
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ecomplex_2Ecomplex__of__num_2E1:(du->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c4f998>, <kernel.Constant object at 0x1c71758>) of role type named c_2Ebool_2E_7E_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_7E_2E0:u
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c4fbd8>, <kernel.DependentProduct object at 0x1c755a8>) of role type named c_2Ebool_2E_7E_2E1
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring c_2Ebool_2E_7E_2E1:(du->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c4f908>, <kernel.DependentProduct object at 0x1c75a28>) of role type named mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:((Prop->Prop)->(Prop->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c4f908>, <kernel.DependentProduct object at 0x1c75a28>) of role type named mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->(Prop->Prop))->(Prop->(Prop->Prop)))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71710>, <kernel.DependentProduct object at 0x1c75e18>) of role type named mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:((mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c712d8>, <kernel.DependentProduct object at 0x1c75e18>) of role type named mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:((mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71710>, <kernel.DependentProduct object at 0x1c75878>) of role type named mono_2Ec_2Ebool_2E_2F_5C
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ebool_2E_2F_5C:(Prop->(Prop->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c712d8>, <kernel.Constant object at 0x1c75878>) of role type named mono_2Ec_2Enum_2E0
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Enum_2E0:mono_2Etyop_2Enum_2Enum
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71710>, <kernel.DependentProduct object at 0x1c755a8>) of role type named mono_2Ec_2Emin_2E_3D_3D_3E
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Emin_2E_3D_3D_3E:(Prop->(Prop->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c71710>, <kernel.Sort object at 0x2b2c7bacc5a8>) of role type named mono_2Ec_2Ebool_2EF
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ebool_2EF:Prop
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c758c0>, <kernel.Sort object at 0x2b2c7bacc5a8>) of role type named mono_2Ec_2Ebool_2ET
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ebool_2ET:Prop
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c75e18>, <kernel.DependentProduct object at 0x1c75e60>) of role type named mono_2Ec_2Ebool_2E_5C_2F
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ebool_2E_5C_2F:(Prop->(Prop->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c75e18>, <kernel.DependentProduct object at 0x1c756c8>) of role type named mono_2Ec_2Ecomplex_2Ecomplex__inv
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ecomplex_2Ecomplex__inv:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c75b48>, <kernel.DependentProduct object at 0x1c75d88>) of role type named mono_2Ec_2Ecomplex_2Ecomplex__of__num
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ecomplex_2Ecomplex__of__num:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c758c0>, <kernel.DependentProduct object at 0x1c75e60>) of role type named mono_2Ec_2Ebool_2E_7E
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring mono_2Ec_2Ebool_2E_7E:(Prop->Prop)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c751b8>, <kernel.DependentProduct object at 0x1c75998>) of role type named i_mono_2Etyop_2Emin_2Ebool
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring i_mono_2Etyop_2Emin_2Ebool:(Prop->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c75b48>, <kernel.DependentProduct object at 0x1c75fc8>) of role type named i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->Prop)->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c758c0>, <kernel.DependentProduct object at 0x1c75c68>) of role type named i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:((Prop->(Prop->Prop))->u)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x1c751b8>, <kernel.DependentProduct object at 0x1c75e60>) of role type named i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:((mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->u)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75518>, <kernel.DependentProduct object at 0x1c75998>) of role type named i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:((mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->u)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75ab8>, <kernel.DependentProduct object at 0x1c75bd8>) of role type named i_mono_2Etyop_2Enum_2Enum
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring i_mono_2Etyop_2Enum_2Enum:(mono_2Etyop_2Enum_2Enum->u)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75ef0>, <kernel.DependentProduct object at 0x1c75f38>) of role type named i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->u)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75998>, <kernel.DependentProduct object at 0x1c751b8>) of role type named j_mono_2Etyop_2Emin_2Ebool
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Emin_2Ebool:(du->Prop)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75bd8>, <kernel.DependentProduct object at 0x1c75908>) of role type named j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(du->(Prop->Prop))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75f38>, <kernel.DependentProduct object at 0x1c75ef0>) of role type named j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(du->(Prop->(Prop->Prop)))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c751b8>, <kernel.DependentProduct object at 0x1c75bd8>) of role type named j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(du->(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75908>, <kernel.DependentProduct object at 0x1c75f38>) of role type named j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(du->(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75998>, <kernel.DependentProduct object at 0x1c76f38>) of role type named j_mono_2Etyop_2Enum_2Enum
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Enum_2Enum:(du->mono_2Etyop_2Enum_2Enum)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1c75f38>, <kernel.DependentProduct object at 0x1c76ef0>) of role type named j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(du->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)
% 0.45/0.62 FOF formula (forall (A_27a:d) (A_27b:d) (V0f_2E0:u) (V1g_2E0:u), ((forall (V2x_2E0:u), (((eq du) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))->(((eq du) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) of role axiom named reserved_2Eho_2Eeq__ext
% 0.47/0.63 A new axiom: (forall (A_27a:d) (A_27b:d) (V0f_2E0:u) (V1g_2E0:u), ((forall (V2x_2E0:u), (((eq du) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))->(((eq du) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0))))
% 0.47/0.63 FOF formula (forall (A_27a:d) (V0x_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27a) V0x_2E0))) of role axiom named reserved_2Eho_2Ei__thm
% 0.47/0.63 A new axiom: (forall (A_27a:d) (V0x_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27a) V0x_2E0)))
% 0.47/0.63 FOF formula (forall (A_27a:d) (A_27b:d) (V0x_2E0:u) (V1y_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27a))) combin_k_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27b) V1y_2E0)))) ((s A_27a) V0x_2E0))) of role axiom named reserved_2Eho_2Ek__thm
% 0.47/0.63 A new axiom: (forall (A_27a:d) (A_27b:d) (V0x_2E0:u) (V1y_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27a))) combin_k_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27b) V1y_2E0)))) ((s A_27a) V0x_2E0)))
% 0.47/0.63 FOF formula (forall (A_27a:d) (A_27b:d) (A_27c:d) (V0f_2E0:u) (V1g_2E0:u) (V2x_2E0:u), (((eq du) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c))) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c)))) combin_s_2E0)) ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) ((s A_27a) V2x_2E0)))) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0))))))) of role axiom named reserved_2Eho_2Es__thm
% 0.47/0.63 A new axiom: (forall (A_27a:d) (A_27b:d) (A_27c:d) (V0f_2E0:u) (V1g_2E0:u) (V2x_2E0:u), (((eq du) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c))) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c)))) combin_s_2E0)) ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) ((s A_27a) V2x_2E0)))) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))))
% 0.47/0.63 FOF formula (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_2F_5C V0) V1)) ((and V0) V1))) of role axiom named reserved_2Elogic_2E_2F_5C
% 0.47/0.63 A new axiom: (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_2F_5C V0) V1)) ((and V0) V1)))
% 0.47/0.63 FOF formula (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_5C_2F V0) V1)) ((or V0) V1))) of role axiom named reserved_2Elogic_2E_5C_2F
% 0.47/0.63 A new axiom: (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_5C_2F V0) V1)) ((or V0) V1)))
% 0.47/0.63 FOF formula (forall (V0:Prop), ((iff (mono_2Ec_2Ebool_2E_7E V0)) (not V0))) of role axiom named reserved_2Elogic_2E_7E
% 0.47/0.63 A new axiom: (forall (V0:Prop), ((iff (mono_2Ec_2Ebool_2E_7E V0)) (not V0)))
% 0.47/0.64 FOF formula (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1)) (V0->V1))) of role axiom named reserved_2Elogic_2E_3D_3D_3E
% 0.47/0.64 A new axiom: (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1)) (V0->V1)))
% 0.47/0.64 FOF formula (forall (A_27a:d) (V0_2E0:u) (V1_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))) (((eq du) ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0)))) of role axiom named reserved_2Elogic_2E_3D
% 0.47/0.64 A new axiom: (forall (A_27a:d) (V0_2E0:u) (V1_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))) (((eq du) ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))
% 0.47/0.64 FOF formula (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) (forall (V1x_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))) of role axiom named reserved_2Equant_2E_21
% 0.47/0.64 A new axiom: (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) (forall (V1x_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0)))))))
% 0.47/0.64 FOF formula (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ((ex u) (fun (V1x_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0)))))))) of role axiom named reserved_2Equant_2E_3F
% 0.47/0.64 A new axiom: (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ((ex u) (fun (V1x_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))))
% 0.47/0.64 FOF formula (forall (V0_2E0:u), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) V0_2E0))))) ((s tyop_2Emin_2Ebool) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Ebool
% 0.47/0.64 A new axiom: (forall (V0_2E0:u), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) V0_2E0))))) ((s tyop_2Emin_2Ebool) V0_2E0)))
% 0.47/0.64 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.47/0.64 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0)))
% 0.47/0.64 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.47/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0)))
% 0.47/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.47/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0)))
% 0.47/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))))) ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.47/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))))) ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0)))
% 0.47/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) V0_2E0))))) ((s tyop_2Enum_2Enum) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Enum_2Enum
% 0.47/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) V0_2E0))))) ((s tyop_2Enum_2Enum) V0_2E0)))
% 0.47/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) V0_2E0))))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.47/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) V0_2E0))))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) V0_2E0)))
% 0.47/0.65 FOF formula (forall (V0:Prop), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Ebool
% 0.47/0.65 A new axiom: (forall (V0:Prop), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0)))) V0))
% 0.47/0.65 FOF formula (forall (V0:(Prop->Prop)), (((eq (Prop->Prop)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.47/0.65 A new axiom: (forall (V0:(Prop->Prop)), (((eq (Prop->Prop)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0)))) V0))
% 0.47/0.65 FOF formula (forall (V0:(Prop->(Prop->Prop))), (((eq (Prop->(Prop->Prop))) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.47/0.65 A new axiom: (forall (V0:(Prop->(Prop->Prop))), (((eq (Prop->(Prop->Prop))) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0)))) V0))
% 0.47/0.65 FOF formula (forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)), (((eq (mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.47/0.65 A new axiom: (forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)), (((eq (mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0)))) V0))
% 0.47/0.66 FOF formula (forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)), (((eq (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29
% 0.47/0.66 A new axiom: (forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)), (((eq (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0)))) V0))
% 0.47/0.66 FOF formula (forall (V0:mono_2Etyop_2Enum_2Enum), (((eq mono_2Etyop_2Enum_2Enum) (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Enum_2Enum
% 0.47/0.66 A new axiom: (forall (V0:mono_2Etyop_2Enum_2Enum), (((eq mono_2Etyop_2Enum_2Enum) (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V0)))) V0))
% 0.47/0.66 FOF formula (forall (V0:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.47/0.66 A new axiom: (forall (V0:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0)))) V0))
% 0.47/0.66 FOF formula (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))) of role axiom named arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a
% 0.47/0.67 A new axiom: (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))))
% 0.47/0.67 FOF formula (forall (A_27a:d) (X0_2E0:u) (X1_2E0:u), ((iff (((eq du) ((s A_27a) X0_2E0)) ((s A_27a) X1_2E0))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) c_2Emin_2E_3D_2E0)) ((s A_27a) X0_2E0)))) ((s A_27a) X1_2E0)))))) of role axiom named arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a
% 0.47/0.67 A new axiom: (forall (A_27a:d) (X0_2E0:u) (X1_2E0:u), ((iff (((eq du) ((s A_27a) X0_2E0)) ((s A_27a) X1_2E0))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) c_2Emin_2E_3D_2E0)) ((s A_27a) X0_2E0)))) ((s A_27a) X1_2E0))))))
% 0.47/0.67 FOF formula (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))) of role axiom named arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a
% 0.47/0.67 A new axiom: (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))))
% 0.47/0.67 FOF formula (forall (V0:(Prop->Prop)) (V1:Prop), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (V0 V1)))) ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))) of role axiom named monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool
% 0.47/0.67 A new axiom: (forall (V0:(Prop->Prop)) (V1:Prop), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (V0 V1)))) ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1))))))
% 0.47/0.67 FOF formula (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1)))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))) of role axiom named monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.47/0.67 A new axiom: (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1)))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1))))))
% 0.47/0.67 FOF formula (forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Enum_2Enum), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (V0 V1)))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1)))))) of role axiom named monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.47/0.67 A new axiom: (forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Enum_2Enum), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (V0 V1)))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1))))))
% 0.47/0.67 FOF formula (forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (V0 V1)))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V1)))))) of role axiom named monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.47/0.67 A new axiom: (forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (V0 V1)))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V1))))))
% 0.47/0.67 FOF formula (forall (V0:(Prop->Prop)) (V1:Prop), (((eq Prop) (V0 V1)) (V0 V1))) of role axiom named monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool
% 0.47/0.68 A new axiom: (forall (V0:(Prop->Prop)) (V1:Prop), (((eq Prop) (V0 V1)) (V0 V1)))
% 0.47/0.68 FOF formula (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq (Prop->Prop)) (V0 V1)) (V0 V1))) of role axiom named monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.47/0.68 A new axiom: (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq (Prop->Prop)) (V0 V1)) (V0 V1)))
% 0.47/0.68 FOF formula (forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Enum_2Enum), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V0 V1)) (V0 V1))) of role axiom named monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.47/0.68 A new axiom: (forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Enum_2Enum), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V0 V1)) (V0 V1)))
% 0.47/0.68 FOF formula (forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V0 V1)) (V0 V1))) of role axiom named monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 0.47/0.68 A new axiom: (forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V0 V1)) (V0 V1)))
% 0.47/0.68 FOF formula mono_2Ec_2Ebool_2ET of role axiom named thm_2Ebool_2ETRUTH
% 0.47/0.68 A new axiom: mono_2Ec_2Ebool_2ET
% 0.47/0.68 FOF formula (d->(forall (V0t:Prop), ((iff (u->V0t)) V0t))) of role axiom named thm_2Ebool_2EFORALL__SIMP
% 0.47/0.68 A new axiom: (d->(forall (V0t:Prop), ((iff (u->V0t)) V0t)))
% 0.47/0.68 FOF formula (forall (V0t:Prop), ((and ((and ((and ((and ((iff (mono_2Ec_2Ebool_2ET->V0t)) V0t)) ((iff (V0t->mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2ET))) ((iff (mono_2Ec_2Ebool_2EF->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->mono_2Ec_2Ebool_2EF)) (not V0t)))) of role axiom named thm_2Ebool_2EIMP__CLAUSES
% 0.47/0.68 A new axiom: (forall (V0t:Prop), ((and ((and ((and ((and ((iff (mono_2Ec_2Ebool_2ET->V0t)) V0t)) ((iff (V0t->mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2ET))) ((iff (mono_2Ec_2Ebool_2EF->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->mono_2Ec_2Ebool_2EF)) (not V0t))))
% 0.47/0.68 FOF formula (forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((iff (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) of role axiom named thm_2Ecomplex_2ECOMPLEX__INV__EQ__0
% 0.47/0.68 A new axiom: (forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((iff (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))))
% 0.47/0.68 FOF formula (forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))->(not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))))) of role conjecture named thm_2Ecomplex_2ECOMPLEX__INV__NZ
% 0.47/0.68 Conjecture to prove = (forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))->(not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))))):Prop
% 0.47/0.68 Parameter du_DUMMY:du.
% 0.47/0.68 Parameter mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_DUMMY:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29.
% 0.47/0.68 We need to prove ['(forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))->(not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))))']
% 0.47/0.68 Parameter u:Type.
% 0.47/0.68 Parameter d:Type.
% 0.47/0.68 Parameter du:Type.
% 0.47/0.68 Parameter mono_2Etyop_2Enum_2Enum:Type.
% 0.47/0.68 Parameter mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:Type.
% 0.47/0.68 Parameter tyop_2Emin_2Ebool:d.
% 0.47/0.68 Parameter tyop_2Emin_2Efun:(d->(d->d)).
% 0.47/0.68 Parameter tyop_2Enum_2Enum:d.
% 0.47/0.68 Parameter tyop_2Epair_2Eprod:(d->(d->d)).
% 0.47/0.68 Parameter tyop_2Erealax_2Ereal:d.
% 0.47/0.68 Parameter s:(d->(u->du)).
% 0.47/0.68 Parameter app_2E2:(du->(du->u)).
% 0.47/0.68 Parameter combin_i_2E0:u.
% 0.47/0.68 Parameter combin_k_2E0:u.
% 0.47/0.68 Parameter combin_s_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_21_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_21_2E1:(du->u).
% 0.47/0.68 Parameter c_2Ebool_2E_2F_5C_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_2F_5C_2E2:(du->(du->u)).
% 0.47/0.68 Parameter c_2Enum_2E0_2E0:u.
% 0.47/0.68 Parameter c_2Emin_2E_3D_2E0:u.
% 0.47/0.68 Parameter c_2Emin_2E_3D_2E2:(du->(du->u)).
% 0.47/0.68 Parameter c_2Emin_2E_3D_3D_3E_2E0:u.
% 0.47/0.68 Parameter c_2Emin_2E_3D_3D_3E_2E2:(du->(du->u)).
% 0.47/0.68 Parameter c_2Ebool_2E_3F_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_3F_2E1:(du->u).
% 0.47/0.68 Parameter c_2Ebool_2EF_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2ET_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_5C_2F_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_5C_2F_2E2:(du->(du->u)).
% 0.47/0.68 Parameter c_2Ecomplex_2Ecomplex__inv_2E0:u.
% 0.47/0.68 Parameter c_2Ecomplex_2Ecomplex__inv_2E1:(du->u).
% 0.47/0.68 Parameter c_2Ecomplex_2Ecomplex__of__num_2E0:u.
% 0.47/0.68 Parameter c_2Ecomplex_2Ecomplex__of__num_2E1:(du->u).
% 0.47/0.68 Parameter c_2Ebool_2E_7E_2E0:u.
% 0.47/0.68 Parameter c_2Ebool_2E_7E_2E1:(du->u).
% 0.47/0.68 Parameter mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:((Prop->Prop)->(Prop->Prop)).
% 0.47/0.68 Parameter mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->(Prop->Prop))->(Prop->(Prop->Prop))).
% 0.47/0.68 Parameter mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:((mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.47/0.68 Parameter mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:((mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.47/0.68 Parameter mono_2Ec_2Ebool_2E_2F_5C:(Prop->(Prop->Prop)).
% 0.47/0.68 Parameter mono_2Ec_2Enum_2E0:mono_2Etyop_2Enum_2Enum.
% 0.47/0.68 Parameter mono_2Ec_2Emin_2E_3D_3D_3E:(Prop->(Prop->Prop)).
% 0.47/0.68 Parameter mono_2Ec_2Ebool_2EF:Prop.
% 0.47/0.68 Parameter mono_2Ec_2Ebool_2ET:Prop.
% 0.47/0.68 Parameter mono_2Ec_2Ebool_2E_5C_2F:(Prop->(Prop->Prop)).
% 0.47/0.68 Parameter mono_2Ec_2Ecomplex_2Ecomplex__inv:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
% 0.47/0.68 Parameter mono_2Ec_2Ecomplex_2Ecomplex__of__num:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
% 0.47/0.68 Parameter mono_2Ec_2Ebool_2E_7E:(Prop->Prop).
% 0.47/0.68 Parameter i_mono_2Etyop_2Emin_2Ebool:(Prop->u).
% 0.47/0.68 Parameter i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->Prop)->u).
% 0.47/0.68 Parameter i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:((Prop->(Prop->Prop))->u).
% 0.47/0.68 Parameter i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:((mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->u).
% 0.47/0.68 Parameter i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:((mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)->u).
% 0.47/0.68 Parameter i_mono_2Etyop_2Enum_2Enum:(mono_2Etyop_2Enum_2Enum->u).
% 0.47/0.68 Parameter i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->u).
% 0.47/0.68 Parameter j_mono_2Etyop_2Emin_2Ebool:(du->Prop).
% 0.47/0.68 Parameter j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(du->(Prop->Prop)).
% 0.47/0.68 Parameter j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(du->(Prop->(Prop->Prop))).
% 0.47/0.68 Parameter j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(du->(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.47/0.68 Parameter j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(du->(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)).
% 0.47/0.68 Parameter j_mono_2Etyop_2Enum_2Enum:(du->mono_2Etyop_2Enum_2Enum).
% 0.47/0.68 Parameter j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(du->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29).
% 0.47/0.68 Axiom reserved_2Eho_2Eeq__ext:(forall (A_27a:d) (A_27b:d) (V0f_2E0:u) (V1g_2E0:u), ((forall (V2x_2E0:u), (((eq du) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))->(((eq du) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))).
% 0.47/0.68 Axiom reserved_2Eho_2Ei__thm:(forall (A_27a:d) (V0x_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27a) V0x_2E0))).
% 0.47/0.68 Axiom reserved_2Eho_2Ek__thm:(forall (A_27a:d) (A_27b:d) (V0x_2E0:u) (V1y_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27a))) combin_k_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27b) V1y_2E0)))) ((s A_27a) V0x_2E0))).
% 0.47/0.68 Axiom reserved_2Eho_2Es__thm:(forall (A_27a:d) (A_27b:d) (A_27c:d) (V0f_2E0:u) (V1g_2E0:u) (V2x_2E0:u), (((eq du) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c))) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c)))) combin_s_2E0)) ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) ((s A_27a) V2x_2E0)))) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0))))))).
% 0.47/0.68 Axiom reserved_2Elogic_2E_2F_5C:(forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_2F_5C V0) V1)) ((and V0) V1))).
% 0.47/0.68 Axiom reserved_2Elogic_2E_5C_2F:(forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_5C_2F V0) V1)) ((or V0) V1))).
% 0.47/0.68 Axiom reserved_2Elogic_2E_7E:(forall (V0:Prop), ((iff (mono_2Ec_2Ebool_2E_7E V0)) (not V0))).
% 0.47/0.68 Axiom reserved_2Elogic_2E_3D_3D_3E:(forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1)) (V0->V1))).
% 0.47/0.68 Axiom reserved_2Elogic_2E_3D:(forall (A_27a:d) (V0_2E0:u) (V1_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))) (((eq du) ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0)))).
% 0.47/0.68 Axiom reserved_2Equant_2E_21:(forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) (forall (V1x_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))).
% 0.47/0.68 Axiom reserved_2Equant_2E_3F:(forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ((ex u) (fun (V1x_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0)))))))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Emin_2Ebool:(forall (V0_2E0:u), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) V0_2E0))))) ((s tyop_2Emin_2Ebool) V0_2E0))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))))) ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) V0_2E0))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Enum_2Enum:(forall (V0_2E0:u), (((eq du) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) V0_2E0))))) ((s tyop_2Enum_2Enum) V0_2E0))).
% 0.47/0.68 Axiom ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) V0_2E0))))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) V0_2E0))).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Emin_2Ebool:(forall (V0:Prop), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0)))) V0)).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0:(Prop->Prop)), (((eq (Prop->Prop)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0)))) V0)).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(forall (V0:(Prop->(Prop->Prop))), (((eq (Prop->(Prop->Prop))) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0)))) V0)).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)), (((eq (mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0)))) V0)).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29:(forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)), (((eq (mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0)))) V0)).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Enum_2Enum:(forall (V0:mono_2Etyop_2Enum_2Enum), (((eq mono_2Etyop_2Enum_2Enum) (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V0)))) V0)).
% 0.47/0.68 Axiom ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(forall (V0:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0)))) V0)).
% 0.47/0.68 Axiom arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a:(forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))).
% 0.47/0.68 Axiom arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a:(forall (A_27a:d) (X0_2E0:u) (X1_2E0:u), ((iff (((eq du) ((s A_27a) X0_2E0)) ((s A_27a) X1_2E0))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) c_2Emin_2E_3D_2E0)) ((s A_27a) X0_2E0)))) ((s A_27a) X1_2E0)))))).
% 0.47/0.68 Axiom arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a:(forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))).
% 0.47/0.68 Axiom monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:(forall (V0:(Prop->Prop)) (V1:Prop), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (V0 V1)))) ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))).
% 0.47/0.68 Axiom monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1)))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))).
% 0.47/0.68 Axiom monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Enum_2Enum), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (V0 V1)))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1)))))).
% 2.94/3.17 Axiom monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq du) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (V0 V1)))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 V0))) ((s ((tyop_2Epair_2Eprod tyop_2Erealax_2Ereal) tyop_2Erealax_2Ereal)) (i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V1)))))).
% 2.94/3.17 Axiom monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:(forall (V0:(Prop->Prop)) (V1:Prop), (((eq Prop) (V0 V1)) (V0 V1))).
% 2.94/3.17 Axiom monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq (Prop->Prop)) (V0 V1)) (V0 V1))).
% 2.94/3.17 Axiom monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(forall (V0:(mono_2Etyop_2Enum_2Enum->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Enum_2Enum), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V0 V1)) (V0 V1))).
% 2.94/3.17 Axiom monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29:(forall (V0:(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29->mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (V1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V0 V1)) (V0 V1))).
% 2.94/3.17 Axiom thm_2Ebool_2ETRUTH:mono_2Ec_2Ebool_2ET.
% 2.94/3.17 Axiom thm_2Ebool_2EFORALL__SIMP:(d->(forall (V0t:Prop), ((iff (u->V0t)) V0t))).
% 2.94/3.17 Axiom thm_2Ebool_2EIMP__CLAUSES:(forall (V0t:Prop), ((and ((and ((and ((and ((iff (mono_2Ec_2Ebool_2ET->V0t)) V0t)) ((iff (V0t->mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2ET))) ((iff (mono_2Ec_2Ebool_2EF->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->mono_2Ec_2Ebool_2EF)) (not V0t)))).
% 2.94/3.17 Axiom thm_2Ecomplex_2ECOMPLEX__INV__EQ__0:(forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((iff (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))).
% 2.94/3.17 Trying to prove (forall (V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), ((not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))->(not (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))))
% 2.94/3.17 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 2.94/3.17 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 9.15/9.33 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 9.15/9.33 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 9.15/9.33 Found (eq_ref00 P) as proof of (P0 V0z)
% 9.15/9.33 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 9.15/9.33 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 9.15/9.33 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 9.15/9.33 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 9.15/9.33 Found (eq_ref00 P) as proof of (P0 V0z)
% 9.15/9.33 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 9.15/9.33 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 9.15/9.33 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 9.15/9.33 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 9.15/9.33 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 9.15/9.33 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 9.15/9.33 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 9.15/9.33 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 9.15/9.33 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 9.15/9.33 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 9.15/9.33 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 9.15/9.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 9.15/9.33 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 15.07/15.25 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 15.07/15.25 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 15.07/15.25 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 15.07/15.25 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 15.07/15.25 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 15.07/15.25 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 15.07/15.25 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 15.07/15.25 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 15.07/15.25 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 15.07/15.25 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 15.07/15.25 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 15.07/15.25 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 15.07/15.25 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 15.07/15.25 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 17.25/17.45 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 17.25/17.45 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 17.25/17.45 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 17.25/17.45 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 17.25/17.45 Found x1:(P V0z)
% 17.25/17.45 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 17.25/17.45 Found x1 as proof of (P0 b)
% 17.25/17.45 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 17.25/17.45 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 17.25/17.45 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 17.25/17.45 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 17.25/17.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 20.84/21.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 20.84/21.09 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 20.84/21.09 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 20.84/21.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 20.84/21.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 20.84/21.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 20.84/21.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 20.84/21.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 20.84/21.09 Found x10:(P V0z)
% 20.84/21.09 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 20.84/21.09 Found x10 as proof of (P0 b)
% 20.84/21.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__inv V0z):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 20.84/21.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 20.84/21.09 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 20.84/21.09 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found x1:(P V0z)
% 26.63/26.85 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 26.63/26.85 Found x1 as proof of (P0 b)
% 26.63/26.85 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 26.63/26.85 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 26.63/26.85 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 26.63/26.85 Found x1:(P V0z)
% 26.63/26.85 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 26.63/26.85 Found x1 as proof of (P0 b)
% 26.63/26.85 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 26.63/26.85 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 26.63/26.85 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 26.63/26.85 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 26.63/26.85 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__inv V0z):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 26.63/26.85 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 26.63/26.85 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 26.63/26.85 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 26.63/26.85 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 26.63/26.85 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 26.63/26.85 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 26.63/26.85 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 26.63/26.85 Found (eq_ref0 b) as proof of (P b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 26.63/26.85 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 30.33/30.49 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 30.33/30.49 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 30.33/30.49 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 30.33/30.49 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 30.33/30.49 Found x1 as proof of (P0 b)
% 30.33/30.49 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 30.33/30.49 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 30.33/30.49 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 30.33/30.49 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 30.33/30.49 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 30.33/30.49 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 30.33/30.49 Found (eq_ref0 b) as proof of (P b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 30.33/30.49 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 30.33/30.49 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 30.33/30.49 Found (eq_ref00 P) as proof of (P0 V0z)
% 30.33/30.49 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 30.33/30.49 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 30.33/30.49 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 30.33/30.49 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 30.33/30.49 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 32.25/32.45 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 32.25/32.45 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 32.25/32.45 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 32.25/32.45 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 32.25/32.45 Found (eq_ref00 P) as proof of (P0 V0z)
% 32.25/32.45 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 32.25/32.45 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 32.25/32.45 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 32.25/32.45 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 32.25/32.45 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 32.25/32.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 36.76/36.95 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 36.76/36.95 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 36.76/36.95 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 36.76/36.95 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 36.76/36.95 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 36.76/36.95 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 36.76/36.95 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__inv V0z):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 36.76/36.95 Found x1 as proof of (P0 b)
% 36.76/36.95 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 45.65/45.87 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 45.65/45.87 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__inv V0z):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 45.65/45.87 Found x1 as proof of (P0 b)
% 45.65/45.87 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 45.65/45.87 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 45.65/45.87 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 45.65/45.87 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 45.65/45.87 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Enum_2Enum) a) a)
% 45.65/45.87 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Enum_2Enum) a) mono_2Ec_2Enum_2E0)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Enum_2Enum) a) as proof of (((eq mono_2Etyop_2Enum_2Enum) a) mono_2Ec_2Enum_2E0)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Enum_2Enum) a) as proof of (((eq mono_2Etyop_2Enum_2Enum) a) mono_2Ec_2Enum_2E0)
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Enum_2Enum) a) as proof of (((eq mono_2Etyop_2Enum_2Enum) a) mono_2Ec_2Enum_2E0)
% 45.65/45.87 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 45.65/45.87 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 45.65/45.87 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 45.65/45.87 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 45.65/45.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 45.65/45.87 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 48.23/48.47 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 48.23/48.47 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 48.23/48.47 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 48.23/48.47 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 48.23/48.47 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 48.23/48.47 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 48.23/48.47 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 48.23/48.47 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 48.23/48.47 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 48.23/48.47 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 48.23/48.47 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 48.23/48.47 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 48.23/48.47 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 48.23/48.47 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 48.23/48.47 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 48.23/48.47 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 48.23/48.47 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))):((P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))->(P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 49.25/49.42 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 49.25/49.42 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 49.25/49.42 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 49.25/49.42 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 49.25/49.42 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 49.25/49.42 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 49.25/49.42 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 49.25/49.42 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 49.25/49.42 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 49.25/49.42 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 49.25/49.42 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 50.24/50.45 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 50.24/50.45 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 50.24/50.45 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 50.24/50.45 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 50.24/50.45 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 50.24/50.45 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 50.24/50.45 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 52.95/53.16 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 52.95/53.16 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 52.95/53.16 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 52.95/53.16 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 52.95/53.16 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 52.95/53.16 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 52.95/53.16 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 52.95/53.16 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 52.95/53.16 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 52.95/53.16 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 54.17/54.33 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 54.17/54.33 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 54.17/54.33 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 54.17/54.33 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 54.17/54.33 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 54.17/54.33 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 57.76/57.92 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 57.76/57.92 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 57.76/57.92 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 57.76/57.92 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 57.76/57.92 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 57.76/57.92 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 57.76/57.92 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 57.76/57.92 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 57.76/57.92 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 57.76/57.92 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 57.76/57.92 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 57.76/57.92 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 57.76/57.92 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 57.76/57.92 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 71.16/71.37 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 71.16/71.37 Found (eq_ref00 P) as proof of (P0 b)
% 71.16/71.37 Found ((eq_ref0 b) P) as proof of (P0 b)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) P) as proof of (P0 b)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) P) as proof of (P0 b)
% 71.16/71.37 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 71.16/71.37 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 71.16/71.37 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 71.16/71.37 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 71.16/71.37 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 71.16/71.37 Found (eq_ref00 P) as proof of (P0 V0z)
% 71.16/71.37 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found eq_ref000:=(eq_ref00 P0):((P0 V0z)->(P0 V0z))
% 71.16/71.37 Found (eq_ref00 P0) as proof of (P V0z)
% 71.16/71.37 Found ((eq_ref0 V0z) P0) as proof of (P V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P0) as proof of (P V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P0) as proof of (P V0z)
% 71.16/71.37 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 71.16/71.37 Found (eq_ref00 P) as proof of (P0 V0z)
% 71.16/71.37 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 71.16/71.37 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 71.16/71.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 71.16/71.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 71.16/71.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 71.16/71.37 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 71.16/71.37 Found (eq_ref00 P) as proof of (P0 V0z)
% 71.16/71.37 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 71.16/71.37 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 71.16/71.37 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 71.16/71.37 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 77.73/77.89 Found (eq_ref00 P) as proof of (P0 V0z)
% 77.73/77.89 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 77.73/77.89 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 77.73/77.89 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 77.73/77.89 Found x1:(P V0z)
% 77.73/77.89 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 77.73/77.89 Found x1 as proof of (P0 b)
% 77.73/77.89 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 77.73/77.89 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 77.73/77.89 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))):((P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))->(P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 77.73/77.89 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Found x1:(P V0z)
% 77.73/77.89 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 77.73/77.89 Found x1 as proof of (P0 b)
% 77.73/77.89 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 77.73/77.89 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 77.73/77.89 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 77.73/77.89 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) V0z)
% 77.73/77.89 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) V0z)
% 77.73/77.89 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) V0z)
% 77.73/77.89 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) V0z)
% 77.73/77.89 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 77.73/77.89 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b0)
% 77.73/77.89 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b0)
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b0)
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b0)
% 90.26/90.46 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 90.26/90.46 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 90.26/90.46 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 90.26/90.46 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 90.26/90.46 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 90.26/90.46 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 90.26/90.46 Found x1:(P V0z)
% 90.26/90.46 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 90.26/90.46 Found x1 as proof of (P0 b)
% 90.26/90.46 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 90.26/90.46 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 90.26/90.46 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 90.26/90.46 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 90.26/90.46 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 90.26/90.46 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 90.26/90.46 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 94.96/95.16 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 94.96/95.16 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 94.96/95.16 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 94.96/95.16 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 94.96/95.16 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 94.96/95.16 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 94.96/95.16 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 94.96/95.16 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 94.96/95.16 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 94.96/95.16 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 95.76/95.94 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 95.76/95.94 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 95.76/95.94 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 95.76/95.94 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 95.76/95.94 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 95.76/95.94 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 95.76/95.94 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 104.92/105.09 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 104.92/105.09 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 104.92/105.09 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 104.92/105.09 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 104.92/105.09 Found (eq_ref0 b) as proof of (P b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 104.92/105.09 Found eq_ref000:=(eq_ref00 P):((P (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))->(P (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)))
% 104.92/105.09 Found (eq_ref00 P) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found ((eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) P) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) P) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) P) as proof of (P0 (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found x1:(P V0z)
% 104.92/105.09 Found x1 as proof of (P0 V0z)
% 104.92/105.09 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 104.92/105.09 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 104.92/105.09 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 104.92/105.09 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 104.92/105.09 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 104.92/105.09 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 104.92/105.09 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 104.92/105.09 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 111.43/111.58 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 111.43/111.58 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 111.43/111.58 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 111.43/111.58 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 111.43/111.58 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 111.43/111.58 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 111.43/111.58 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 111.43/111.58 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 115.68/115.87 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 115.68/115.87 Found (eq_ref0 b) as proof of (P b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (P b)
% 115.68/115.87 Found x1:(P V0z)
% 115.68/115.87 Found x1 as proof of (P0 V0z)
% 115.68/115.87 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 115.68/115.87 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 115.68/115.87 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 115.68/115.87 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 115.68/115.87 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 115.68/115.87 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 115.68/115.87 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 115.68/115.87 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 115.68/115.87 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 115.68/115.87 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 118.46/118.63 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 118.46/118.63 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 118.46/118.63 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 118.46/118.63 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 118.46/118.63 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 118.46/118.63 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 121.83/122.00 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 121.83/122.00 Found (eq_ref00 P) as proof of (P0 V0z)
% 121.83/122.00 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 121.83/122.00 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 121.83/122.00 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 121.83/122.00 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 121.83/122.00 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 121.83/122.00 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 121.83/122.00 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 121.83/122.00 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 121.83/122.00 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 121.83/122.00 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 121.83/122.00 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 121.83/122.00 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 121.83/122.00 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 121.83/122.00 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 123.25/123.42 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 123.25/123.42 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 123.25/123.42 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 123.25/123.42 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 123.25/123.42 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 123.25/123.42 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 129.33/129.53 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 129.33/129.53 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 129.33/129.53 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 129.33/129.53 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 129.33/129.53 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 129.33/129.53 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 129.33/129.53 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 129.33/129.53 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 132.94/133.18 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 132.94/133.18 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__inv V0z):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 132.94/133.18 Found x1 as proof of (P0 b)
% 132.94/133.18 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 132.94/133.18 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 132.94/133.18 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 132.94/133.18 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 132.94/133.18 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 132.94/133.18 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 132.94/133.18 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 132.94/133.18 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 136.97/137.17 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 136.97/137.17 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 136.97/137.17 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 136.97/137.17 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 136.97/137.17 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 136.97/137.17 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 136.97/137.17 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 150.16/150.30 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 150.16/150.30 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 150.16/150.30 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 150.16/150.30 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__inv V0z):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 150.16/150.30 Found x1 as proof of (P0 b)
% 150.16/150.30 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 150.16/150.30 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 150.16/150.30 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 150.16/150.30 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 150.16/150.30 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 150.16/150.30 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 150.16/150.30 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 150.16/150.30 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 150.16/150.30 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 150.16/150.30 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 150.16/150.30 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 158.87/159.05 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 158.87/159.05 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 158.87/159.05 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 158.87/159.05 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 158.87/159.05 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 158.87/159.05 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 158.87/159.05 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 158.87/159.05 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 158.87/159.05 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 158.87/159.05 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 158.87/159.05 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 158.87/159.05 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 158.87/159.05 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 163.96/164.12 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 163.96/164.12 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 163.96/164.12 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 163.96/164.12 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 163.96/164.12 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 163.96/164.12 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 163.96/164.12 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 163.96/164.12 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 163.96/164.12 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 163.96/164.12 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 163.96/164.12 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 163.96/164.12 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 163.96/164.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 167.55/167.75 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 167.55/167.75 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 167.55/167.75 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 167.55/167.75 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 167.55/167.75 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 167.55/167.75 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 167.55/167.75 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 167.55/167.75 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 167.55/167.75 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 167.55/167.75 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 167.55/167.75 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 167.55/167.75 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 180.16/180.37 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 180.16/180.37 Found (eq_ref00 P) as proof of (P0 b)
% 180.16/180.37 Found ((eq_ref0 b) P) as proof of (P0 b)
% 180.16/180.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) P) as proof of (P0 b)
% 180.16/180.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) P) as proof of (P0 b)
% 180.16/180.37 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 180.16/180.37 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 180.16/180.37 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 180.16/180.37 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 180.16/180.37 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 180.16/180.37 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 180.16/180.37 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 180.16/180.37 Found eq_ref000:=(eq_ref00 P):((P V0z)->(P V0z))
% 180.16/180.37 Found (eq_ref00 P) as proof of (P0 V0z)
% 180.16/180.37 Found ((eq_ref0 V0z) P) as proof of (P0 V0z)
% 180.16/180.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 180.16/180.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) P) as proof of (P0 V0z)
% 180.16/180.37 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 180.16/180.37 Found (eq_ref00 P) as proof of (P0 b)
% 180.16/180.37 Found ((eq_ref0 b) P) as proof of (P0 b)
% 180.16/180.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) P) as proof of (P0 b)
% 180.16/180.37 Found (((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) P) as proof of (P0 b)
% 180.16/180.37 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 180.16/180.37 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 180.16/180.37 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 182.74/182.90 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 182.74/182.90 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 182.74/182.90 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 182.74/182.90 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b0)
% 182.74/182.90 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 182.74/182.90 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 182.74/182.90 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 182.74/182.90 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 182.74/182.90 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 182.74/182.90 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 182.74/182.90 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 193.05/193.21 Found eq_ref00:=(eq_ref0 a):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) a)
% 193.05/193.21 Found (eq_ref0 a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 193.05/193.21 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 193.05/193.21 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 193.05/193.21 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) a) V0z)
% 193.05/193.21 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 193.05/193.21 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 193.05/193.21 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 193.05/193.21 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 193.05/193.21 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 193.05/193.21 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 193.05/193.21 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 193.05/193.21 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 193.05/193.21 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 193.05/193.21 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 193.05/193.21 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 193.05/193.21 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 193.05/193.21 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 193.05/193.21 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 213.45/213.62 Found x1 as proof of (P0 b)
% 213.45/213.62 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 213.45/213.62 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 213.45/213.62 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 213.45/213.62 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 213.45/213.62 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 213.45/213.62 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 213.45/213.62 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 213.45/213.62 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 213.45/213.62 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 213.45/213.62 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 213.45/213.62 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 213.45/213.62 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 213.45/213.62 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 213.45/213.62 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 213.45/213.62 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 213.45/213.62 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 213.45/213.62 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 213.45/213.62 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 213.45/213.62 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 213.45/213.62 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 234.49/234.76 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 234.49/234.76 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 234.49/234.76 Found x1:(P (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 234.49/234.76 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 234.49/234.76 Found x1 as proof of (P0 b)
% 234.49/234.76 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 234.49/234.76 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 234.49/234.76 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 234.49/234.76 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 234.49/234.76 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 234.49/234.76 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 234.49/234.76 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 234.49/234.76 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 234.49/234.76 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 234.49/234.76 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 234.49/234.76 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 234.49/234.76 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 234.49/234.76 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 234.49/234.76 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 234.49/234.76 Found x00:=(x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))):((P V0z)->(P V0z))
% 234.49/234.76 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 234.49/234.76 Found (x0 (fun (x1:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)=> (P V0z))) as proof of (P0 V0z)
% 234.49/234.76 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 234.49/234.76 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 234.49/234.76 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 234.49/234.76 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 234.49/234.76 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 239.29/239.51 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 239.29/239.51 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 239.29/239.51 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 239.29/239.51 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 239.29/239.51 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 239.29/239.51 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 239.29/239.51 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 243.59/243.84 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found eq_ref00:=(eq_ref0 b0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) b0)
% 243.59/243.84 Found (eq_ref0 b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b0) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 243.59/243.84 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 243.59/243.84 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b0)
% 243.59/243.84 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 243.59/243.84 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 243.59/243.84 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 243.59/243.84 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 243.59/243.84 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 243.59/243.84 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 264.89/265.15 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 264.89/265.15 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 264.89/265.15 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 264.89/265.15 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 264.89/265.15 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 264.89/265.15 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 264.89/265.15 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 264.89/265.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 283.40/283.64 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 283.40/283.64 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 283.40/283.64 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 283.40/283.64 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 283.40/283.64 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 283.40/283.64 Instantiate: b:=(mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0):mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 283.40/283.64 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) b)
% 283.40/283.64 Found x1:(P V0z)
% 283.40/283.64 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 283.40/283.64 Found x1 as proof of (P0 b)
% 283.40/283.64 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 283.40/283.64 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 283.40/283.64 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found x1:(P V0z)
% 289.87/290.15 Instantiate: b:=V0z:mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29
% 289.87/290.15 Found x1 as proof of (P0 b)
% 289.87/290.15 Found eq_ref00:=(eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 289.87/290.15 Found (eq_ref0 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 289.87/290.15 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 289.87/290.15 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 289.87/290.15 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 289.87/290.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 289.87/290.15 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 292.37/292.67 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 292.37/292.67 Found monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_2900:=(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 292.37/292.67 Found (monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_290 mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 292.37/292.67 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 292.37/292.67 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 292.37/292.67 Found ((monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 mono_2Ec_2Ecomplex_2Ecomplex__of__num) mono_2Ec_2Enum_2E0) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) b)
% 292.37/292.67 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 292.37/292.67 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 292.37/292.67 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 292.37/292.67 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 292.37/292.67 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) V0z)
% 292.37/292.67 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 292.37/292.67 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 292.37/292.67 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 292.37/292.67 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 292.37/292.67 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 292.37/292.67 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 296.87/297.12 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 296.87/297.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 296.87/297.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 296.87/297.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z))
% 296.87/297.12 Found eq_ref00:=(eq_ref0 V0z):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) V0z)
% 296.87/297.12 Found (eq_ref0 V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 296.87/297.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 296.87/297.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 296.87/297.12 Found ((eq_ref mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) V0z) b)
% 296.87/297.12 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0:(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found x0 as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 296.87/297.12 Found eq_ref00:=(eq_ref0 b):(((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) b)
% 296.87/297.12 Found (eq_ref0 b) as proof of (((eq mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) b) (mono_2Ec_2Ecompl
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