TSTP Solution File: ITP268^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP268^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 17:47:54 EDT 2022
% Result : Unknown 0.73s 0.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP268^3 : TPTP v7.6.0. Released v7.6.0.
% 0.12/0.13 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 Computer : n013.cluster.edu
% 0.13/0.34 Model : x86_64 x86_64
% 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 RAMPerCPU : 8042.1875MB
% 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Mar 18 14:40:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.42/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2171d88>, <kernel.Type object at 0x2171cb0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc5542196010084753463at_nat:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2171950>, <kernel.Type object at 0x21715a8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc5491161045314408544at_nat:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2171a28>, <kernel.Type object at 0x242ef38>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc1193250871479095198on_num:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2171950>, <kernel.Type object at 0x242e7a0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc8306885398267862888on_nat:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2171950>, <kernel.Type object at 0x2aff40bcf320>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc6121120109295599847at_nat:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x242ef38>, <kernel.Type object at 0x2aff40bcf8c0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc3368934014287244435at_num:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x242ef38>, <kernel.Type object at 0x2aff40bcf7e8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc4471711990508489141at_nat:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x242efc8>, <kernel.Type object at 0x2aff40bcf680>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc7036089656553540234on_num:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2aff40bcfa28>, <kernel.Type object at 0x2aff40bcdea8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring produc2233624965454879586on_nat:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2aff40bcfa28>, <kernel.Type object at 0x2aff40bcf3b0>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.42/0.63 Using role type
% 0.42/0.63 Declaring set_fi4554929511873752355omplex:Type
% 0.42/0.63 FOF formula (<kernel.Constant object at 0x2aff40bcfa28>, <kernel.Type object at 0x2193b00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P7413028617227757229T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x242ef38>, <kernel.Type object at 0x2193b48>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc3447558737645232053on_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x242efc8>, <kernel.Type object at 0x2193950>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4953844613479565601on_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21938c0>, <kernel.Type object at 0x2193998>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc2963631642982155120at_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193908>, <kernel.Type object at 0x2193ab8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc7248412053542808358at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193830>, <kernel.Type object at 0x21938c0>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_fi7789364187291644575l_real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21936c8>, <kernel.Type object at 0x21935a8>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring filter6041513312241820739omplex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193830>, <kernel.Type object at 0x2193908>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P7037539587688870467BT_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193368>, <kernel.Type object at 0x21936c8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P4547456442757143711BT_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193128>, <kernel.Type object at 0x2193830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P5647936690300460905T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193248>, <kernel.Type object at 0x2193368>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P7524865323317820941T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193c68>, <kernel.Type object at 0x2193128>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc8243902056947475879T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193518>, <kernel.Type object at 0x2193248>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr5085853215250843933omplex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21931b8>, <kernel.Type object at 0x2193c68>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc8923325533196201883nteger:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193758>, <kernel.Type object at 0x2193518>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P3126845725202233233VEBT_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193f38>, <kernel.Type object at 0x21931b8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P7495141550334521929T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193638>, <kernel.Type object at 0x2193758>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring filter2146258269922977983l_real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193fc8>, <kernel.Type object at 0x2193f38>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P8526636022914148096eger_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193a28>, <kernel.Type object at 0x2193638>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr448751882837621926eger_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21932d8>, <kernel.Type object at 0x2193fc8>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring option4927543243414619207at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193098>, <kernel.Type object at 0x2193a28>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring filter1242075044329608583at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193bd8>, <kernel.Type object at 0x21932d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr6218003697084177305l_real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21937e8>, <kernel.Type object at 0x2193098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P3744719386663036955um_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193488>, <kernel.Type object at 0x2193bd8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P1726324292696863441at_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193d88>, <kernel.Type object at 0x2197a28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P6011104703257516679at_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21933f8>, <kernel.Type object at 0x2197a70>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P3521021558325789923at_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21933f8>, <kernel.Type object at 0x2197368>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P5707943133018811711nt_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2193d88>, <kernel.Type object at 0x2197200>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc9072475918466114483BT_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2197098>, <kernel.Type object at 0x2197050>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc8025551001238799321T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x21976c8>, <kernel.Type object at 0x2197fc8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr8218934625190621173um_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2197b00>, <kernel.Type object at 0x2197098>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr6200539531224447659at_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2197488>, <kernel.Type object at 0x21975a8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr1261947904930325089at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2197b00>, <kernel.Type object at 0x2aff40bcab90>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Pr958786334691620121nt_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2197b00>, <kernel.Type object at 0x2aff40bcabd8>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc4411394909380815293omplex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2197488>, <kernel.Type object at 0x2aff40bca440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P7333126701944960589_nat_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca710>, <kernel.Type object at 0x2197b00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P5087981734274514673_int_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca488>, <kernel.Type object at 0x2aff390fa200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P3795440434834930179_o_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca440>, <kernel.Type object at 0x2aff390fa248>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_VEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca440>, <kernel.Type object at 0x2aff390fa1b8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc334124729049499915VEBT_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca710>, <kernel.Type object at 0x2aff390fa0e0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc6271795597528267376eger_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa128>, <kernel.Type object at 0x2aff390fa050>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc2422161461964618553l_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca488>, <kernel.Type object at 0x2aff390fa0e0>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_num_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff40bca488>, <kernel.Type object at 0x2aff390fa320>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_nat_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa098>, <kernel.Type object at 0x2aff390fa3b0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_nat_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa3f8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_nat_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa440>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_int_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P4002435161011370285od_o_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa440>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fa518>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Complex__Ocomplex_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa5a8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_VEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa5f0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fa638>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa680>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_nat_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa6c8>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_set_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fa710>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_Code_integer:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa758>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_VEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa7a0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fa7e8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa830>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Code_integer:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa878>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_Product_unit:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fa8c0>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa908>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_list_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fa950>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_complex:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fa998>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring filter_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fa9e0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_I_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_set_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390faa28>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390faa70>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390faab8>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring filter_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fab00>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.46/0.64 Using role type
% 0.46/0.65 Declaring set_char:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fab48>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa128>, <kernel.Type object at 0x2aff390fab00>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fabd8>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fac68>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390faab8>, <kernel.Type object at 0x2aff390facb0>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa128>, <kernel.Type object at 0x2aff390facf8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring vEBT_VEBT:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fad40>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_rat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390fad88>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390faab8>, <kernel.Type object at 0x2aff390fadd0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa128>, <kernel.Type object at 0x2aff390fae18>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fae60>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring code_integer:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa3b0>, <kernel.Type object at 0x2aff390faea8>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring extended_enat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa128>, <kernel.Type object at 0x2aff390fae18>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390faf38>) of role type named ty_n_t__Complex__Ocomplex
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring complex:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa2d8>, <kernel.Type object at 0x2aff390fae60>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa128>, <kernel.Type object at 0x2aff390faf80>) of role type named ty_n_t__String__Ochar
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring char:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x2aff390fae60>) of role type named ty_n_t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390faf80>, <kernel.Type object at 0x217e098>) of role type named ty_n_t__Rat__Orat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring rat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fae60>, <kernel.Type object at 0x217e098>) of role type named ty_n_t__Num__Onum
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fafc8>, <kernel.Type object at 0x217e050>) of role type named ty_n_t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x2aff390fa200>, <kernel.Type object at 0x217e128>) of role type named ty_n_t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e0e0>, <kernel.DependentProduct object at 0x217e2d8>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring archim7802044766580827645g_real:(real->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e098>, <kernel.DependentProduct object at 0x217e368>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e200>, <kernel.DependentProduct object at 0x217e3f8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring archim6058952711729229775r_real:(real->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e0e0>, <kernel.DependentProduct object at 0x217e170>) of role type named sy_c_Binomial_Obinomial
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring binomial:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e488>, <kernel.DependentProduct object at 0x217e098>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e4d0>, <kernel.DependentProduct object at 0x217e0e0>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring gbinomial_int:(int->(nat->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3f8>, <kernel.DependentProduct object at 0x217e488>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e368>, <kernel.DependentProduct object at 0x217e4d0>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e200>, <kernel.DependentProduct object at 0x217e3f8>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring gbinomial_real:(real->(nat->real))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e050>, <kernel.DependentProduct object at 0x217e200>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e170>, <kernel.DependentProduct object at 0x217e3f8>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_and_not_num:(num->(num->option_num))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e680>, <kernel.DependentProduct object at 0x217e050>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3b0>, <kernel.DependentProduct object at 0x217e368>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e170>, <kernel.DependentProduct object at 0x217e3b0>) of role type named sy_c_Bit__Operations_Oor__not__num__neg__rel
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_or3848514188828904588eg_rel:(product_prod_num_num->(product_prod_num_num->Prop))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e368>, <kernel.DependentProduct object at 0x217e7e8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3b0>, <kernel.DependentProduct object at 0x217e368>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e7e8>, <kernel.DependentProduct object at 0x217e3b0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e368>, <kernel.DependentProduct object at 0x217e7e8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3b0>, <kernel.DependentProduct object at 0x217e368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e7e8>, <kernel.DependentProduct object at 0x217e3b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e368>, <kernel.DependentProduct object at 0x217e7e8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3b0>, <kernel.DependentProduct object at 0x217e368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e7e8>, <kernel.DependentProduct object at 0x217e3b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e368>, <kernel.DependentProduct object at 0x217e7e8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3b0>, <kernel.DependentProduct object at 0x217e3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e7e8>, <kernel.DependentProduct object at 0x217ee18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3f8>, <kernel.DependentProduct object at 0x217e7e8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217ee18>, <kernel.DependentProduct object at 0x217e3f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e7e8>, <kernel.DependentProduct object at 0x217ee18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217e3f8>, <kernel.DependentProduct object at 0x217eea8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217ee18>, <kernel.DependentProduct object at 0x217ef38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217ee18>, <kernel.DependentProduct object at 0x2181170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x217ee18>, <kernel.DependentProduct object at 0x2181200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x217e3f8>, <kernel.DependentProduct object at 0x2181290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181200>, <kernel.DependentProduct object at 0x2181320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181170>, <kernel.DependentProduct object at 0x21813b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181248>, <kernel.DependentProduct object at 0x2181440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21810e0>, <kernel.DependentProduct object at 0x2181248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181440>, <kernel.DependentProduct object at 0x21810e0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181248>, <kernel.DependentProduct object at 0x2181440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21810e0>, <kernel.DependentProduct object at 0x2181248>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181440>, <kernel.DependentProduct object at 0x21810e0>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181710>, <kernel.DependentProduct object at 0x2181248>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21817e8>, <kernel.DependentProduct object at 0x2181440>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21812d8>, <kernel.DependentProduct object at 0x21817e8>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21816c8>, <kernel.DependentProduct object at 0x2181440>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21818c0>, <kernel.DependentProduct object at 0x2181830>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_int_of_integer:(code_integer->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181440>, <kernel.DependentProduct object at 0x2181998>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_integer_of_int:(int->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181170>, <kernel.DependentProduct object at 0x2181950>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_integer_of_num:(num->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21816c8>, <kernel.DependentProduct object at 0x21819e0>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_nat_of_integer:(code_integer->nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181908>, <kernel.DependentProduct object at 0x2181a70>) of role type named sy_c_Code__Numeral_Onegative
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_negative:(num->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181950>, <kernel.DependentProduct object at 0x21816c8>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_num_of_integer:(code_integer->num)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181830>, <kernel.DependentProduct object at 0x2181b00>) of role type named sy_c_Code__Numeral_Opositive
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_positive:(num->code_integer)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181a70>, <kernel.DependentProduct object at 0x2181b48>) of role type named sy_c_Code__Target__Int_Onegative
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_Target_negative:(num->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181908>, <kernel.DependentProduct object at 0x2181b90>) of role type named sy_c_Code__Target__Int_Opositive
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring code_Target_positive:(num->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21819e0>, <kernel.DependentProduct object at 0x2181a70>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181908>, <kernel.DependentProduct object at 0x21819e0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181a70>, <kernel.DependentProduct object at 0x2181cb0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21816c8>, <kernel.DependentProduct object at 0x2181d40>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181a70>, <kernel.DependentProduct object at 0x2181d88>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181d40>, <kernel.DependentProduct object at 0x2181e18>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181bd8>, <kernel.DependentProduct object at 0x2181ea8>) of role type named sy_c_Complex_OArg
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring arg:(complex->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21819e0>, <kernel.DependentProduct object at 0x2181ef0>) of role type named sy_c_Complex_Ocis
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring cis:(real->complex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181dd0>, <kernel.DependentProduct object at 0x2181f38>) of role type named sy_c_Complex_Ocnj
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring cnj:(complex->complex)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181a28>, <kernel.DependentProduct object at 0x2181dd0>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring complex2:(real->(real->complex))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2181fc8>, <kernel.DependentProduct object at 0x2181ef0>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring im:(complex->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2181dd0>, <kernel.DependentProduct object at 0x2188098>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring re:(complex->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2181d40>, <kernel.DependentProduct object at 0x2188050>) of role type named sy_c_Complex_Ocsqrt
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring csqrt:(complex->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2181e18>, <kernel.Constant object at 0x2181a28>) of role type named sy_c_Complex_Oimaginary__unit
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring imaginary_unit:complex
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21819e0>, <kernel.DependentProduct object at 0x2188050>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21819e0>, <kernel.DependentProduct object at 0x2188248>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2181fc8>, <kernel.DependentProduct object at 0x2188050>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21819e0>, <kernel.DependentProduct object at 0x2188320>) of role type named sy_c_Divides_Oadjust__div
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring adjust_div:(product_prod_int_int->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2181a28>, <kernel.DependentProduct object at 0x2188050>) of role type named sy_c_Divides_Oadjust__mod
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring adjust_mod:(int->(int->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2181a28>, <kernel.DependentProduct object at 0x2188128>) of role type named sy_c_Divides_Odivmod__nat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188290>, <kernel.DependentProduct object at 0x2188170>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21882d8>, <kernel.DependentProduct object at 0x2188200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188290>, <kernel.DependentProduct object at 0x21883f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188200>, <kernel.DependentProduct object at 0x2188488>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21883f8>, <kernel.DependentProduct object at 0x2188200>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188488>, <kernel.DependentProduct object at 0x21883f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188200>, <kernel.DependentProduct object at 0x2188488>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21883f8>, <kernel.DependentProduct object at 0x2188758>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188488>, <kernel.DependentProduct object at 0x21883f8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188758>, <kernel.DependentProduct object at 0x2188488>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21883f8>, <kernel.DependentProduct object at 0x2188758>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188488>, <kernel.DependentProduct object at 0x21883f8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188758>, <kernel.DependentProduct object at 0x2188488>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21883f8>, <kernel.DependentProduct object at 0x2188758>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188488>, <kernel.DependentProduct object at 0x21883f8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188758>, <kernel.DependentProduct object at 0x2188488>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21883f8>, <kernel.DependentProduct object at 0x2188200>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188488>, <kernel.DependentProduct object at 0x2188cf8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188200>, <kernel.DependentProduct object at 0x2188d88>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188cf8>, <kernel.DependentProduct object at 0x2188e18>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188d88>, <kernel.DependentProduct object at 0x2188ea8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2188e18>, <kernel.DependentProduct object at 0x2188f38>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2188ea8>, <kernel.DependentProduct object at 0x2188fc8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x21887a0>, <kernel.DependentProduct object at 0x218a098>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring inverse_inverse_rat:(rat->rat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2188ef0>, <kernel.DependentProduct object at 0x218a0e0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring inverse_inverse_real:(real->real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2188fc8>, <kernel.Constant object at 0x2188f38>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring at_bot_real:filter_real
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x21887a0>, <kernel.Constant object at 0x2188ea8>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring at_top_nat:filter_nat
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2188ef0>, <kernel.Constant object at 0x218a0e0>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring at_top_real:filter_real
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x21887a0>, <kernel.DependentProduct object at 0x218a170>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a098>, <kernel.DependentProduct object at 0x218a050>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring eventu5826381225784669381omplex:((produc4411394909380815293omplex->Prop)->(filter6041513312241820739omplex->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a128>, <kernel.DependentProduct object at 0x218a050>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a200>, <kernel.DependentProduct object at 0x218a098>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring eventu3244425730907250241l_real:((produc2422161461964618553l_real->Prop)->(filter2146258269922977983l_real->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a050>, <kernel.DependentProduct object at 0x218a290>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a200>, <kernel.DependentProduct object at 0x218a170>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a488>, <kernel.DependentProduct object at 0x218a1b8>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a518>, <kernel.DependentProduct object at 0x218a440>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a488>, <kernel.DependentProduct object at 0x218a518>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a440>, <kernel.DependentProduct object at 0x218a488>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a050>, <kernel.DependentProduct object at 0x218a518>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a2d8>, <kernel.DependentProduct object at 0x218a638>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_o:(set_o->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a5f0>, <kernel.DependentProduct object at 0x218a050>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_complex:(set_complex->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a638>, <kernel.DependentProduct object at 0x218a710>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_int:(set_int->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a200>, <kernel.DependentProduct object at 0x218a758>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_nat:(set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a638>, <kernel.DependentProduct object at 0x218a7a0>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a2d8>, <kernel.DependentProduct object at 0x218a830>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a710>, <kernel.DependentProduct object at 0x218a878>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_card_char:(set_char->nat)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a680>, <kernel.DependentProduct object at 0x218a8c0>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_o:(set_o->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a2d8>, <kernel.DependentProduct object at 0x218a638>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a878>, <kernel.DependentProduct object at 0x218a950>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_int:(set_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a680>, <kernel.DependentProduct object at 0x218a998>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a878>, <kernel.DependentProduct object at 0x218a9e0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a998>, <kernel.DependentProduct object at 0x218aa70>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a9e0>, <kernel.DependentProduct object at 0x218ab00>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218aa70>, <kernel.DependentProduct object at 0x218ab90>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a9e0>, <kernel.DependentProduct object at 0x218ac20>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_nat:(set_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218ab00>, <kernel.DependentProduct object at 0x218ac68>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_num:(set_num->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218a9e0>, <kernel.DependentProduct object at 0x218acb0>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite2998713641127702882nt_int:(set_Pr958786334691620121nt_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218ab00>, <kernel.DependentProduct object at 0x218ad40>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_rat:(set_rat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218ac68>, <kernel.DependentProduct object at 0x218ad88>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite_finite_real:(set_real->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218ab00>, <kernel.DependentProduct object at 0x218add0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite6551019134538273531omplex:(set_set_complex->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218ad88>, <kernel.DependentProduct object at 0x218ae60>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite6197958912794628473et_int:(set_set_int->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218add0>, <kernel.DependentProduct object at 0x218aef0>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218ae60>, <kernel.DependentProduct object at 0x218af80>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218aef0>, <kernel.DependentProduct object at 0x218add0>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218afc8>, <kernel.DependentProduct object at 0x2aff39104098>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218af80>, <kernel.DependentProduct object at 0x2aff39104170>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218af80>, <kernel.DependentProduct object at 0x2aff391040e0>) of role type named sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x218add0>, <kernel.DependentProduct object at 0x2aff39104170>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff391043b0>, <kernel.DependentProduct object at 0x2aff39104290>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x218afc8>, <kernel.DependentProduct object at 0x2aff39104368>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x218afc8>, <kernel.DependentProduct object at 0x2aff39104440>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104488>, <kernel.DependentProduct object at 0x2aff39104098>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104128>, <kernel.DependentProduct object at 0x2aff39104290>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104098>, <kernel.DependentProduct object at 0x2aff391043f8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104290>, <kernel.DependentProduct object at 0x2aff391042d8>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff391043f8>, <kernel.DependentProduct object at 0x2aff39104518>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104638>, <kernel.DependentProduct object at 0x2aff39104710>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gcd_Gcd_int:(set_int->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104680>, <kernel.DependentProduct object at 0x2aff391046c8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff39104560>, <kernel.DependentProduct object at 0x2aff39104638>) of role type named sy_c_GCD_Obezw
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff391041b8>, <kernel.DependentProduct object at 0x2aff39104680>) of role type named sy_c_GCD_Obezw__rel
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2aff391042d8>, <kernel.DependentProduct object at 0x2aff39104560>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring gcd_gcd_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104758>, <kernel.DependentProduct object at 0x2aff391041b8>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391047e8>, <kernel.DependentProduct object at 0x2aff391042d8>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104710>, <kernel.DependentProduct object at 0x2aff391046c8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104560>, <kernel.DependentProduct object at 0x2aff391048c0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring abs_abs_complex:(complex->complex)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104878>, <kernel.DependentProduct object at 0x2aff39104908>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring abs_abs_int:(int->int)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391042d8>, <kernel.DependentProduct object at 0x2aff39104950>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring abs_abs_rat:(rat->rat)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391046c8>, <kernel.DependentProduct object at 0x2aff39104998>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring abs_abs_real:(real->real)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391042d8>, <kernel.DependentProduct object at 0x2aff39104a28>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391049e0>, <kernel.DependentProduct object at 0x2aff39104a70>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104ab8>, <kernel.DependentProduct object at 0x2aff39104b48>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391049e0>, <kernel.DependentProduct object at 0x2aff39104b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_711738161318947805_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->(product_prod_int_int->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104a70>, <kernel.DependentProduct object at 0x2aff39104b00>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391049e0>, <kernel.DependentProduct object at 0x2aff39104c68>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_6910147592129066416_nat_o:((set_nat->Prop)->((set_nat->Prop)->(set_nat->Prop)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104b00>, <kernel.DependentProduct object at 0x2aff391049e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104cb0>, <kernel.DependentProduct object at 0x2aff39104c68>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104b00>, <kernel.DependentProduct object at 0x2aff39104cb0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104d40>, <kernel.DependentProduct object at 0x2aff39104c68>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104b90>, <kernel.DependentProduct object at 0x2aff39104b00>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104e18>, <kernel.DependentProduct object at 0x2aff39104d40>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff391049e0>, <kernel.DependentProduct object at 0x2aff39104b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_real:(real->(real->real))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104e18>, <kernel.DependentProduct object at 0x2aff391049e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104cb0>, <kernel.DependentProduct object at 0x2aff39104b90>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104cf8>, <kernel.DependentProduct object at 0x2aff39104e18>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104cb0>, <kernel.DependentProduct object at 0x2aff391049e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_1052850069191792384nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104b90>, <kernel.DependentProduct object at 0x2aff39104f80>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104cb0>, <kernel.DependentProduct object at 0x2aff391049e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104b90>, <kernel.Constant object at 0x2aff39104dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_Code_integer:code_integer
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104f80>, <kernel.Constant object at 0x2aff3910a098>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_complex:complex
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104dd0>, <kernel.Constant object at 0x2aff3910a098>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x2aff39104f80>, <kernel.Constant object at 0x2aff3910a098>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_int:int
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff39104dd0>, <kernel.Constant object at 0x2aff3910a098>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring one_one_nat:nat
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff39104dd0>, <kernel.Constant object at 0x2aff3910a098>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring one_one_rat:rat
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a290>, <kernel.Constant object at 0x2aff3910a098>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring one_one_real:real
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a170>, <kernel.DependentProduct object at 0x2aff3910a290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a3f8>, <kernel.DependentProduct object at 0x2aff3910a098>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a170>, <kernel.DependentProduct object at 0x2aff3910a3f8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a4d0>, <kernel.DependentProduct object at 0x2aff3910a098>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_plus_int:(int->(int->int))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a2d8>, <kernel.DependentProduct object at 0x2aff3910a170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a5a8>, <kernel.DependentProduct object at 0x2aff3910a4d0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_plus_num:(num->(num->num))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a290>, <kernel.DependentProduct object at 0x2aff3910a2d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a488>, <kernel.DependentProduct object at 0x2aff3910a5a8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring plus_plus_real:(real->(real->real))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a3f8>, <kernel.DependentProduct object at 0x2aff3910a098>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a4d0>, <kernel.DependentProduct object at 0x2aff3910a170>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring sgn_sgn_complex:(complex->complex)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a2d8>, <kernel.DependentProduct object at 0x2aff3910a758>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring sgn_sgn_int:(int->int)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a5a8>, <kernel.DependentProduct object at 0x2aff3910a7a0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring sgn_sgn_rat:(rat->rat)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a098>, <kernel.DependentProduct object at 0x2aff3910a7e8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring sgn_sgn_real:(real->real)
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2aff3910a5a8>, <kernel.DependentProduct object at 0x2aff3910a098>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a830>, <kernel.DependentProduct object at 0x2aff3910a7e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_times_complex:(complex->(complex->complex))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a5a8>, <kernel.DependentProduct object at 0x2aff3910a830>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a908>, <kernel.DependentProduct object at 0x2aff3910a7e8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_times_int:(int->(int->int))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a170>, <kernel.DependentProduct object at 0x2aff3910a5a8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_times_nat:(nat->(nat->nat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a9e0>, <kernel.DependentProduct object at 0x2aff3910a908>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_times_num:(num->(num->num))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a098>, <kernel.DependentProduct object at 0x2aff3910a170>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_times_rat:(rat->(rat->rat))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a8c0>, <kernel.DependentProduct object at 0x2aff3910a9e0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring times_times_real:(real->(real->real))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a098>, <kernel.DependentProduct object at 0x2aff3910a8c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a908>, <kernel.DependentProduct object at 0x2aff3910a9e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a8c0>, <kernel.DependentProduct object at 0x2aff3910a098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a908>, <kernel.DependentProduct object at 0x2aff3910a8c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus7117520113953359693_int_o:((product_prod_int_int->Prop)->(product_prod_int_int->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a7e8>, <kernel.DependentProduct object at 0x2aff3910a098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a908>, <kernel.DependentProduct object at 0x2aff3910a7e8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a098>, <kernel.DependentProduct object at 0x2aff3910ad88>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910a7e8>, <kernel.DependentProduct object at 0x2aff3910ae18>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910ac20>, <kernel.DependentProduct object at 0x2aff3910aea8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_int:(int->int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910acb0>, <kernel.DependentProduct object at 0x2aff3910aef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_rat:(rat->rat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910add0>, <kernel.DependentProduct object at 0x2aff3910af38>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus_uminus_real:(real->real)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910acb0>, <kernel.DependentProduct object at 0x2aff3910af80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910af38>, <kernel.DependentProduct object at 0x2aff3910c050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910af80>, <kernel.DependentProduct object at 0x2aff3910c0e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910ac20>, <kernel.DependentProduct object at 0x2aff3910c128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus6221592323253981072nt_int:(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910ac20>, <kernel.DependentProduct object at 0x2aff3910c200>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910af80>, <kernel.DependentProduct object at 0x2aff3910c290>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c128>, <kernel.Constant object at 0x2aff3910c290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_z3403309356797280102nteger:code_integer
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910acb0>, <kernel.Constant object at 0x2aff3910c290>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_complex:complex
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c248>, <kernel.Constant object at 0x2aff3910c098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c320>, <kernel.Constant object at 0x2aff3910c098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_int:int
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c3b0>, <kernel.Constant object at 0x2aff3910c098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_nat:nat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.Constant object at 0x2aff3910c098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_rat:rat
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c440>, <kernel.Constant object at 0x2aff3910c098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.54/0.71 Using role type
% 0.54/0.71 Declaring zero_zero_real:real
% 0.54/0.71 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff3910c440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8507830703676809646_o_nat:((Prop->nat)->(set_o->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c098>, <kernel.DependentProduct object at 0x2aff3910c5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c440>, <kernel.DependentProduct object at 0x2aff3910c3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c5a8>, <kernel.DependentProduct object at 0x2aff3910c098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff3910c440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c098>, <kernel.DependentProduct object at 0x2aff3910c5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c440>, <kernel.DependentProduct object at 0x2aff3910c3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c5a8>, <kernel.DependentProduct object at 0x2aff3910c098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff3910c440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c098>, <kernel.DependentProduct object at 0x2aff3910c5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c440>, <kernel.DependentProduct object at 0x2aff3910c3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c5a8>, <kernel.DependentProduct object at 0x2aff3910c098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff3910c440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c098>, <kernel.DependentProduct object at 0x2aff3910c5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c440>, <kernel.DependentProduct object at 0x2aff3910c3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c5a8>, <kernel.DependentProduct object at 0x2aff3910c098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff3910c440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c098>, <kernel.DependentProduct object at 0x2aff3910c5a8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c440>, <kernel.DependentProduct object at 0x2aff3910c3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c5a8>, <kernel.DependentProduct object at 0x2aff3910c488>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff39111128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c3f8>, <kernel.DependentProduct object at 0x2aff39111098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff3910c518>, <kernel.DependentProduct object at 0x2aff39111170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff391111b8>, <kernel.DependentProduct object at 0x2aff39111200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff39111290>, <kernel.DependentProduct object at 0x2aff39111050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff39111248>, <kernel.DependentProduct object at 0x2aff391111b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2aff39111320>, <kernel.DependentProduct object at 0x2aff391113b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111248>, <kernel.DependentProduct object at 0x2aff39111290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups8255218700646806128omplex:((set_nat->complex)->(set_set_nat->complex))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391113b0>, <kernel.DependentProduct object at 0x2aff39111320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111290>, <kernel.DependentProduct object at 0x2aff39111248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111320>, <kernel.DependentProduct object at 0x2aff391113b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111248>, <kernel.DependentProduct object at 0x2aff39111290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391113b0>, <kernel.DependentProduct object at 0x2aff39111320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111290>, <kernel.DependentProduct object at 0x2aff39111248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111320>, <kernel.DependentProduct object at 0x2aff391113b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111248>, <kernel.DependentProduct object at 0x2aff39111290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391113b0>, <kernel.DependentProduct object at 0x2aff39111248>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391112d8>, <kernel.DependentProduct object at 0x2aff39111b00>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring the_int:((int->Prop)->int)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111a70>, <kernel.DependentProduct object at 0x2aff39111a28>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring the_real:((real->Prop)->real)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391110e0>, <kernel.DependentProduct object at 0x2aff39111a70>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111ab8>, <kernel.DependentProduct object at 0x2aff39111a28>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111bd8>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111c20>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_int:(Prop->(int->(int->int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111b90>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111cf8>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111d40>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__Num__Onum
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_num:(Prop->(num->(num->num)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111d88>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111dd0>, <kernel.DependentProduct object at 0x2aff39111ab8>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111d88>, <kernel.DependentProduct object at 0x2aff391112d8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111ab8>, <kernel.DependentProduct object at 0x2aff391110e0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391112d8>, <kernel.DependentProduct object at 0x2aff39111c68>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391110e0>, <kernel.DependentProduct object at 0x2aff39111dd0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111f80>, <kernel.DependentProduct object at 0x2aff39111dd0>) of role type named sy_c_If_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111c68>, <kernel.DependentProduct object at 0x2aff39111dd0>) of role type named sy_c_If_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_real:(Prop->(real->(real->real)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff391110e0>, <kernel.DependentProduct object at 0x2aff39112098>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2aff39111f80>, <kernel.DependentProduct object at 0x2aff39112128>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39111c68>, <kernel.DependentProduct object at 0x2aff39112200>) of role type named sy_c_Int_OAbs__Integ
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391110e0>, <kernel.DependentProduct object at 0x2aff391120e0>) of role type named sy_c_Int_ORep__Integ
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39111dd0>, <kernel.DependentProduct object at 0x2aff39112170>) of role type named sy_c_Int_Oint__ge__less__than
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39111c68>, <kernel.DependentProduct object at 0x2aff39112128>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39111f80>, <kernel.DependentProduct object at 0x2aff39112248>) of role type named sy_c_Int_Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nat2:(int->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39111f80>, <kernel.Constant object at 0x2aff39112248>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring ring_1_Ints_real:set_real
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112200>, <kernel.DependentProduct object at 0x2aff39112320>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring ring_1_of_int_rat:(int->rat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391120e0>, <kernel.DependentProduct object at 0x2aff39112368>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring ring_1_of_int_real:(int->real)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112200>, <kernel.DependentProduct object at 0x2aff391123b0>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112368>, <kernel.DependentProduct object at 0x2aff39112200>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Extended____Nat__Oenat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_su3973961784419623482d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112488>, <kernel.DependentProduct object at 0x2aff391123b0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_sup_int:(int->(int->int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391123f8>, <kernel.DependentProduct object at 0x2aff39112368>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112290>, <kernel.DependentProduct object at 0x2aff39112488>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112440>, <kernel.DependentProduct object at 0x2aff391123f8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_I_Eo_J_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_sup_set_set_o:(set_set_o->(set_set_o->set_set_o))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112248>, <kernel.DependentProduct object at 0x2aff39112290>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_sup_set_set_int:(set_set_int->(set_set_int->set_set_int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112200>, <kernel.DependentProduct object at 0x2aff39112440>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring sup_sup_set_set_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112248>, <kernel.DependentProduct object at 0x2aff39112368>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112440>, <kernel.DependentProduct object at 0x2aff39112710>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391123b0>, <kernel.DependentProduct object at 0x2aff391126c8>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112710>, <kernel.Constant object at 0x2aff391126c8>) of role type named sy_c_Limits_Oat__infinity_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring at_infinity_real:filter_real
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112170>, <kernel.DependentProduct object at 0x2aff39112710>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring append_int:(list_int->(list_int->list_int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391127a0>, <kernel.DependentProduct object at 0x2aff391126c8>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112878>, <kernel.DependentProduct object at 0x2aff39112950>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring distinct_int:(list_int->Prop)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391123b0>, <kernel.DependentProduct object at 0x2aff39112248>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112170>, <kernel.DependentProduct object at 0x2aff39112878>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring cons_int:(int->(list_int->list_int))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112998>, <kernel.DependentProduct object at 0x2aff391123b0>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391129e0>, <kernel.Constant object at 0x2aff391123b0>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nil_int:list_int
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112878>, <kernel.Constant object at 0x2aff391123b0>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring nil_nat:list_nat
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391127a0>, <kernel.DependentProduct object at 0x2aff39112ab8>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_o2:(list_o->set_o)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112248>, <kernel.DependentProduct object at 0x2aff39112b00>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_complex2:(list_complex->set_complex)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112a70>, <kernel.DependentProduct object at 0x2aff39112b48>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_int2:(list_int->set_int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff391123b0>, <kernel.DependentProduct object at 0x2aff39112b90>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_nat2:(list_nat->set_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112ab8>, <kernel.DependentProduct object at 0x2aff39112bd8>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_real2:(list_real->set_real)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112b00>, <kernel.DependentProduct object at 0x2aff39112c20>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2aff39112b48>, <kernel.DependentProduct object at 0x2aff39112c68>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112b90>, <kernel.DependentProduct object at 0x2aff39112bd8>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391128c0>, <kernel.DependentProduct object at 0x2aff39112b90>) of role type named sy_c_List_Olist__update_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391123b0>, <kernel.DependentProduct object at 0x2aff39112b48>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112d40>, <kernel.DependentProduct object at 0x2aff39112bd8>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112e60>, <kernel.DependentProduct object at 0x2aff391123b0>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112ea8>, <kernel.DependentProduct object at 0x2aff39112d40>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112ef0>, <kernel.DependentProduct object at 0x2aff39112e60>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112ea8>, <kernel.DependentProduct object at 0x2aff39112ef0>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112f80>, <kernel.DependentProduct object at 0x2aff39112e60>) of role type named sy_c_List_Onth_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_o:(list_o->(nat->Prop))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112f38>, <kernel.DependentProduct object at 0x2aff39112ea8>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112fc8>, <kernel.DependentProduct object at 0x2aff39112f80>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_complex:(list_complex->(nat->complex))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112b00>, <kernel.DependentProduct object at 0x2aff39112ea8>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_int:(list_int->(nat->int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112c20>, <kernel.DependentProduct object at 0x2aff39112b48>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_nat:(list_nat->(nat->nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112e60>, <kernel.DependentProduct object at 0x2aff39112ef0>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_num:(list_num->(nat->num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112c20>, <kernel.DependentProduct object at 0x2aff39117050>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112c20>, <kernel.DependentProduct object at 0x2aff391170e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr112076138515278198_nat_o:(list_P7333126701944960589_nat_o->(nat->product_prod_nat_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39112b00>, <kernel.DependentProduct object at 0x2aff39117200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr3440142176431000676at_int:(list_P3521021558325789923at_int->(nat->product_prod_nat_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117170>, <kernel.DependentProduct object at 0x2aff39117290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117050>, <kernel.DependentProduct object at 0x2aff39117320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr8326237132889035090at_num:(list_P1726324292696863441at_num->(nat->product_prod_nat_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117098>, <kernel.DependentProduct object at 0x2aff391173b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391170e0>, <kernel.DependentProduct object at 0x2aff39117098>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391173b0>, <kernel.DependentProduct object at 0x2aff391170e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117098>, <kernel.DependentProduct object at 0x2aff391173b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391170e0>, <kernel.DependentProduct object at 0x2aff39117098>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117170>, <kernel.DependentProduct object at 0x2aff391170e0>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_real:(list_real->(nat->real))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117710>, <kernel.DependentProduct object at 0x2aff391173b0>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391177a0>, <kernel.DependentProduct object at 0x2aff39117098>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117680>, <kernel.DependentProduct object at 0x2aff391177a0>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117830>, <kernel.DependentProduct object at 0x2aff39117710>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117878>, <kernel.DependentProduct object at 0x2aff39117098>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117830>, <kernel.DependentProduct object at 0x2aff39117878>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117518>, <kernel.DependentProduct object at 0x2aff39117098>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_int_o:(list_int->(list_o->list_P5087981734274514673_int_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117950>, <kernel.DependentProduct object at 0x2aff39117830>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117518>, <kernel.DependentProduct object at 0x2aff39117950>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc662631939642741121T_VEBT:(list_int->(list_VEBT_VEBT->list_P7524865323317820941T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117998>, <kernel.DependentProduct object at 0x2aff39117830>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117a70>, <kernel.DependentProduct object at 0x2aff39117518>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_nat_int:(list_nat->(list_int->list_P3521021558325789923at_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391179e0>, <kernel.DependentProduct object at 0x2aff39117998>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117ab8>, <kernel.DependentProduct object at 0x2aff39117a70>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_nat_num:(list_nat->(list_num->list_P1726324292696863441at_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391179e0>, <kernel.DependentProduct object at 0x2aff39117ab8>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117b48>, <kernel.DependentProduct object at 0x2aff39117a70>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117c20>, <kernel.DependentProduct object at 0x2aff391179e0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff39117b48>, <kernel.DependentProduct object at 0x2aff39117c20>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x2aff391179e0>, <kernel.DependentProduct object at 0x2aff39117b48>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117c20>, <kernel.DependentProduct object at 0x2aff391179e0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117dd0>, <kernel.DependentProduct object at 0x2aff39117cb0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_o:(nat->(Prop->list_o))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117e18>, <kernel.DependentProduct object at 0x2aff39117c20>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117b48>, <kernel.DependentProduct object at 0x2aff39117dd0>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_int:(nat->(int->list_int))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117ea8>, <kernel.DependentProduct object at 0x2aff39117e18>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117c68>, <kernel.DependentProduct object at 0x2aff39117b48>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_real:(nat->(real->list_real))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff391179e0>, <kernel.DependentProduct object at 0x2aff39117ea8>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117cb0>, <kernel.DependentProduct object at 0x2aff39117c68>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117dd0>, <kernel.DependentProduct object at 0x2aff391179e0>) of role type named sy_c_List_Oupto
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring upto:(int->(int->list_int))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117c68>, <kernel.DependentProduct object at 0x2aff3911a050>) of role type named sy_c_List_Oupto__aux
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117ea8>, <kernel.DependentProduct object at 0x2aff3911a128>) of role type named sy_c_List_Oupto__rel
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117b90>, <kernel.DependentProduct object at 0x2aff3911a0e0>) of role type named sy_c_Nat_OSuc
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring suc:(nat->nat)
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117dd0>, <kernel.DependentProduct object at 0x2aff3911a200>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117758>, <kernel.DependentProduct object at 0x2aff3911a290>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117b48>, <kernel.DependentProduct object at 0x2aff3911a248>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117dd0>, <kernel.DependentProduct object at 0x2aff3911a2d8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x2aff39117b48>, <kernel.DependentProduct object at 0x2aff3911a128>) of role type named sy_c_Nat_Onat_Opred
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring pred:(nat->nat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a200>, <kernel.DependentProduct object at 0x2aff3911a368>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a170>, <kernel.DependentProduct object at 0x2aff3911a1b8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a200>, <kernel.DependentProduct object at 0x2aff3911a3f8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a1b8>, <kernel.DependentProduct object at 0x2aff3911a488>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a3f8>, <kernel.DependentProduct object at 0x2aff3911a518>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a488>, <kernel.DependentProduct object at 0x2aff3911a5a8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a518>, <kernel.DependentProduct object at 0x2aff3911a638>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a5a8>, <kernel.DependentProduct object at 0x2aff3911a098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Code____Numeral__Ointeger
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri4055485073559036834nteger:((code_integer->code_integer)->(nat->(code_integer->code_integer)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a638>, <kernel.DependentProduct object at 0x2aff3911a710>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a098>, <kernel.DependentProduct object at 0x2aff3911a7a0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a710>, <kernel.DependentProduct object at 0x2aff3911a830>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a7a0>, <kernel.DependentProduct object at 0x2aff3911a8c0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a830>, <kernel.DependentProduct object at 0x2aff3911a950>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a9e0>, <kernel.DependentProduct object at 0x2aff3911aab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring size_size_list_o:(list_o->nat)
% 0.60/0.76 FOF formula (<kernel.Constant object at 0x2aff3911a830>, <kernel.DependentProduct object at 0x2aff3911aa70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.60/0.76 Using role type
% 0.60/0.76 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911aab8>, <kernel.DependentProduct object at 0x2aff3911ab00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911a560>, <kernel.DependentProduct object at 0x2aff3911ab90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_list_int:(list_int->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911a8c0>, <kernel.DependentProduct object at 0x2aff3911abd8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_list_nat:(list_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911a6c8>, <kernel.DependentProduct object at 0x2aff3911ac20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_list_num:(list_num->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911a8c0>, <kernel.DependentProduct object at 0x2aff3911ac68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911ac20>, <kernel.DependentProduct object at 0x2aff3911acf8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911ac68>, <kernel.DependentProduct object at 0x2aff3911ad88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911acf8>, <kernel.DependentProduct object at 0x2aff3911ae18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s4246224855604898693_int_o:(list_P5087981734274514673_int_o->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911ad88>, <kernel.DependentProduct object at 0x2aff3911aea8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s5157815400016825771nt_int:(list_P5707943133018811711nt_int->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911ae18>, <kernel.DependentProduct object at 0x2aff3911af38>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__VEBT____Definitions__OVEBT_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s6639371672096860321T_VEBT:(list_P7524865323317820941T_VEBT->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911aea8>, <kernel.DependentProduct object at 0x2aff3911afc8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911af38>, <kernel.DependentProduct object at 0x2745098>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911afc8>, <kernel.DependentProduct object at 0x2745128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911aea8>, <kernel.DependentProduct object at 0x27451b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_list_real:(list_real->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911afc8>, <kernel.DependentProduct object at 0x2745200>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745050>, <kernel.DependentProduct object at 0x2745290>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911ae18>, <kernel.DependentProduct object at 0x2745320>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_num:(num->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2aff3911ae18>, <kernel.DependentProduct object at 0x2745368>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_option_nat:(option_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745200>, <kernel.DependentProduct object at 0x27453b0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_option_num:(option_num->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745128>, <kernel.DependentProduct object at 0x27453f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745368>, <kernel.DependentProduct object at 0x2745488>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_char:(char->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x27451b8>, <kernel.DependentProduct object at 0x27454d0>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745248>, <kernel.DependentProduct object at 0x2745560>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_list_encode:(list_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745488>, <kernel.DependentProduct object at 0x2745368>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x27453f8>, <kernel.DependentProduct object at 0x27454d0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745488>, <kernel.DependentProduct object at 0x27453f8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745290>, <kernel.DependentProduct object at 0x27456c8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745560>, <kernel.DependentProduct object at 0x2745710>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_set_decode:(nat->set_nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x27451b8>, <kernel.DependentProduct object at 0x2745758>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_set_encode:(set_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x27453b0>, <kernel.DependentProduct object at 0x27457a0>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nat_triangle:(nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x27456c8>, <kernel.DependentProduct object at 0x27454d0>) of role type named sy_c_NthRoot_Oroot
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring root:(nat->(real->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745560>, <kernel.DependentProduct object at 0x27457e8>) of role type named sy_c_NthRoot_Osqrt
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring sqrt:(real->real)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745710>, <kernel.DependentProduct object at 0x27457a0>) of role type named sy_c_Num_OBitM
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring bitM:(num->num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x27453b0>, <kernel.DependentProduct object at 0x2745878>) of role type named sy_c_Num_Oinc
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring inc:(num->num)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745710>, <kernel.DependentProduct object at 0x27458c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2745878>, <kernel.DependentProduct object at 0x2745950>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x27454d0>, <kernel.DependentProduct object at 0x27459e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_numeral_dbl_int:(int->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745560>, <kernel.DependentProduct object at 0x2745a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745908>, <kernel.DependentProduct object at 0x2745a70>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_numeral_dbl_real:(real->real)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745560>, <kernel.DependentProduct object at 0x2745ab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745a70>, <kernel.DependentProduct object at 0x2745b48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745ab8>, <kernel.DependentProduct object at 0x2745bd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745b48>, <kernel.DependentProduct object at 0x2745c68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745bd8>, <kernel.DependentProduct object at 0x2745cf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745c68>, <kernel.DependentProduct object at 0x2745d88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745cf8>, <kernel.DependentProduct object at 0x2745e18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745d88>, <kernel.DependentProduct object at 0x2745ea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745e18>, <kernel.DependentProduct object at 0x2745f38>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745ea8>, <kernel.DependentProduct object at 0x2745fc8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745950>, <kernel.DependentProduct object at 0x2745ef0>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745fc8>, <kernel.DependentProduct object at 0x272b050>) of role type named sy_c_Num_Onum_OBit0
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bit0:(num->num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745f80>, <kernel.DependentProduct object at 0x272b0e0>) of role type named sy_c_Num_Onum_OBit1
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring bit1:(num->num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745ea8>, <kernel.Constant object at 0x2745e18>) of role type named sy_c_Num_Onum_OOne
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one:num
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745368>, <kernel.DependentProduct object at 0x272b248>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745ea8>, <kernel.DependentProduct object at 0x272b1b8>) of role type named sy_c_Num_Onum_Osize__num
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring size_num:(num->nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2745368>, <kernel.DependentProduct object at 0x272b170>) of role type named sy_c_Num_Onum__of__nat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring num_of_nat:(nat->num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b1b8>, <kernel.DependentProduct object at 0x272b128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b200>, <kernel.DependentProduct object at 0x272b320>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numera6690914467698888265omplex:(num->complex)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b248>, <kernel.DependentProduct object at 0x272b3b0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b170>, <kernel.DependentProduct object at 0x272b440>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numeral_numeral_int:(num->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b128>, <kernel.DependentProduct object at 0x272b488>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numeral_numeral_nat:(num->nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b098>, <kernel.DependentProduct object at 0x272b4d0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numeral_numeral_rat:(num->rat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b3b0>, <kernel.DependentProduct object at 0x272b518>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring numeral_numeral_real:(num->real)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b440>, <kernel.DependentProduct object at 0x272b098>) of role type named sy_c_Num_Opow
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring pow:(num->(num->num))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b560>, <kernel.DependentProduct object at 0x272b5a8>) of role type named sy_c_Num_Opred__numeral
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring pred_numeral:(num->nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b4d0>, <kernel.DependentProduct object at 0x272b488>) of role type named sy_c_Num_Osqr
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring sqr:(num->num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b518>, <kernel.Constant object at 0x272b488>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring none_nat:option_nat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b5a8>, <kernel.Constant object at 0x272b488>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring none_num:option_num
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b518>, <kernel.Constant object at 0x272b3b0>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b638>, <kernel.DependentProduct object at 0x272b758>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring some_nat:(nat->option_nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b440>, <kernel.DependentProduct object at 0x272b7a0>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring some_num:(num->option_num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b638>, <kernel.DependentProduct object at 0x272b440>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b7a0>, <kernel.DependentProduct object at 0x272b878>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b8c0>, <kernel.DependentProduct object at 0x272b998>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b950>, <kernel.DependentProduct object at 0x272b9e0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b8c0>, <kernel.DependentProduct object at 0x272b638>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272ba70>, <kernel.DependentProduct object at 0x272b7e8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b9e0>, <kernel.DependentProduct object at 0x272ba28>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272ba70>, <kernel.DependentProduct object at 0x272bab8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b8c0>, <kernel.DependentProduct object at 0x272b7e8>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_nat:(option_nat->nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b440>, <kernel.DependentProduct object at 0x272bb90>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_num:(option_num->num)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272b8c0>, <kernel.DependentProduct object at 0x272bbd8>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x272bb90>, <kernel.DependentProduct object at 0x272bc20>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo4731626569425807221er_o_o:(code_integer->(Prop->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272b7e8>, <kernel.DependentProduct object at 0x272bbd8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_int_int_o:(int->(int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bc68>, <kernel.DependentProduct object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_nat_nat_o:(nat->(nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272ba70>, <kernel.DependentProduct object at 0x272b7e8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_nat_num_o:(nat->(num->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272b8c0>, <kernel.DependentProduct object at 0x272bc68>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_num_num_o:(num->(num->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272ba70>, <kernel.Constant object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272b7e8>, <kernel.Constant object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_nat:nat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272be18>, <kernel.Constant object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_complex:set_complex
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bcf8>, <kernel.Constant object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_int:set_int
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272be60>, <kernel.Constant object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_nat:set_nat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bea8>, <kernel.Constant object at 0x272bb90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_num:set_num
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272be60>, <kernel.Constant object at 0x272bef0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo5379713665208646970eger_o:set_Pr448751882837621926eger_o
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bb90>, <kernel.Constant object at 0x272bf80>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bb90>, <kernel.Constant object at 0x272f050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bb90>, <kernel.Constant object at 0x272f098>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo7038385379056416535at_num:set_Pr6200539531224447659at_num
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bf38>, <kernel.Constant object at 0x272f050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bo9056780473022590049um_num:set_Pr8218934625190621173um_num
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bb90>, <kernel.Constant object at 0x272f050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_rat:set_rat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bf38>, <kernel.Constant object at 0x272f050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_real:set_real
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272bf38>, <kernel.Constant object at 0x272f050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_set_int:set_set_int
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f2d8>, <kernel.Constant object at 0x272f050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring bot_bot_set_set_nat:set_set_nat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f320>, <kernel.DependentProduct object at 0x272f3b0>) of role type named sy_c_Orderings_Oord__class_Oless_001_Eo
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_o:(Prop->(Prop->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f2d8>, <kernel.DependentProduct object at 0x272f320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f3b0>, <kernel.DependentProduct object at 0x272f2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f4d0>, <kernel.DependentProduct object at 0x272f320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_int:(int->(int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f560>, <kernel.DependentProduct object at 0x272f3b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f200>, <kernel.DependentProduct object at 0x272f4d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_num:(num->(num->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f3f8>, <kernel.DependentProduct object at 0x272f560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f2d8>, <kernel.DependentProduct object at 0x272f200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_real:(real->(real->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f320>, <kernel.DependentProduct object at 0x272f3f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_I_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_set_o:(set_o->(set_o->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f2d8>, <kernel.DependentProduct object at 0x272f320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f4d0>, <kernel.DependentProduct object at 0x272f3f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f7a0>, <kernel.DependentProduct object at 0x272f2d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x272f200>, <kernel.DependentProduct object at 0x272f4d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f3b0>, <kernel.DependentProduct object at 0x272f7a0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f320>, <kernel.DependentProduct object at 0x272f200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f3f8>, <kernel.DependentProduct object at 0x272f3b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f2d8>, <kernel.DependentProduct object at 0x272f320>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_set_set_int:(set_set_int->(set_set_int->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f4d0>, <kernel.DependentProduct object at 0x272f3f8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f2d8>, <kernel.DependentProduct object at 0x272fa70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Code____Numeral__Ointeger_M_062_I_Eo_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le2162486998276636481er_o_o:((code_integer->(Prop->Prop))->((code_integer->(Prop->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272f3f8>, <kernel.DependentProduct object at 0x272fb00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fa70>, <kernel.DependentProduct object at 0x272f2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le6741204236512500942_int_o:((int->(int->Prop))->((int->(int->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fb48>, <kernel.DependentProduct object at 0x272fbd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fa70>, <kernel.DependentProduct object at 0x272fc20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__List__Olist_It__Nat__Onat_J_M_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le6558929396352911974_nat_o:((list_nat->(list_nat->Prop))->((list_nat->(list_nat->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fbd8>, <kernel.DependentProduct object at 0x272fcb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le1520216061033275535_nat_o:((list_nat->Prop)->((list_nat->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fc20>, <kernel.DependentProduct object at 0x272fa70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le2646555220125990790_nat_o:((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fcb0>, <kernel.DependentProduct object at 0x272fcf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le3404735783095501756_num_o:((nat->(num->Prop))->((nat->(num->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fe18>, <kernel.DependentProduct object at 0x272fe60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fcb0>, <kernel.DependentProduct object at 0x272fea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le6124364862034508274_num_o:((num->(num->Prop))->((num->(num->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fe60>, <kernel.DependentProduct object at 0x272fd88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le1598226405681992910_int_o:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fea8>, <kernel.DependentProduct object at 0x272fe60>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le8369615600986905444_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fd88>, <kernel.DependentProduct object at 0x272fc68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le5604493270027003598_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fe60>, <kernel.DependentProduct object at 0x2731128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le704812498762024988_nat_o:((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fe60>, <kernel.DependentProduct object at 0x27311b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_Eo_J_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le2556027599737686990_num_o:((product_prod_num_num->(product_prod_num_num->Prop))->((product_prod_num_num->(product_prod_num_num->Prop))->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fe60>, <kernel.DependentProduct object at 0x2731248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le2239182809043710856_num_o:((product_prod_num_num->Prop)->((product_prod_num_num->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fea8>, <kernel.DependentProduct object at 0x2731320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2731248>, <kernel.DependentProduct object at 0x2731368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x272fe60>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_Eo
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_less_eq_o:(Prop->(Prop->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2731200>, <kernel.DependentProduct object at 0x2731248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x2731200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731248>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731200>, <kernel.DependentProduct object at 0x2731248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le4104064031414453916r_real:(filter_real->(filter_real->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731560>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27315f0>, <kernel.DependentProduct object at 0x2731200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731440>, <kernel.DependentProduct object at 0x2731560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27314d0>, <kernel.DependentProduct object at 0x27315f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731248>, <kernel.DependentProduct object at 0x2731440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x27314d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731248>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27314d0>, <kernel.DependentProduct object at 0x2731248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731830>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27318c0>, <kernel.DependentProduct object at 0x27314d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731200>, <kernel.DependentProduct object at 0x2731830>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27318c0>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le8980329558974975238eger_o:(set_Pr448751882837621926eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731830>, <kernel.DependentProduct object at 0x2731248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x2731a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731248>, <kernel.DependentProduct object at 0x2731ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le8085105155179020875at_num:(set_Pr6200539531224447659at_num->(set_Pr6200539531224447659at_num->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731a28>, <kernel.DependentProduct object at 0x2731b48>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le880128212290418581um_num:(set_Pr8218934625190621173um_num->(set_Pr8218934625190621173um_num->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x2731ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731c68>, <kernel.DependentProduct object at 0x2731a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x2731c68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le4403425263959731960et_int:(set_set_int->(set_set_int->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731a28>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731c68>, <kernel.DependentProduct object at 0x2731a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731e18>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731c68>, <kernel.DependentProduct object at 0x2731e18>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731f38>, <kernel.DependentProduct object at 0x2731170>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_int:(int->(int->int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731ef0>, <kernel.DependentProduct object at 0x2731c68>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_nat:(nat->(nat->nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x2731e18>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_num:(num->(num->num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731c68>, <kernel.DependentProduct object at 0x2731fc8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_rat:(rat->(rat->rat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731e18>, <kernel.DependentProduct object at 0x2731ea8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_real:(real->(real->real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731170>, <kernel.DependentProduct object at 0x27341b8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731e18>, <kernel.DependentProduct object at 0x2734200>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731ea8>, <kernel.DependentProduct object at 0x2734248>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731e18>, <kernel.DependentProduct object at 0x27341b8>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734170>, <kernel.DependentProduct object at 0x2734050>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2731ea8>, <kernel.DependentProduct object at 0x27342d8>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734050>, <kernel.DependentProduct object at 0x2734248>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734290>, <kernel.Constant object at 0x2734248>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring top_top_set_o:set_o
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734368>, <kernel.Constant object at 0x2734248>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring top_top_set_int:set_int
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27342d8>, <kernel.Constant object at 0x2734248>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring top_top_set_nat:set_nat
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734368>, <kernel.Constant object at 0x2734320>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27343b0>, <kernel.Constant object at 0x2734320>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring top_top_set_real:set_real
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734440>, <kernel.Constant object at 0x2734320>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring top_top_set_char:set_char
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27343b0>, <kernel.DependentProduct object at 0x2734440>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27345a8>, <kernel.DependentProduct object at 0x2734320>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring power_power_complex:(complex->(nat->complex))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734488>, <kernel.DependentProduct object at 0x27343b0>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring power_power_int:(int->(nat->int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734680>, <kernel.DependentProduct object at 0x27345a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring power_power_nat:(nat->(nat->nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27344d0>, <kernel.DependentProduct object at 0x2734488>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring power_power_rat:(rat->(nat->rat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734518>, <kernel.DependentProduct object at 0x2734680>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring power_power_real:(real->(nat->real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27344d0>, <kernel.DependentProduct object at 0x27345a8>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734680>, <kernel.DependentProduct object at 0x2734488>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27345a8>, <kernel.DependentProduct object at 0x27343b0>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734488>, <kernel.DependentProduct object at 0x27348c0>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27343b0>, <kernel.DependentProduct object at 0x2734950>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x27348c0>, <kernel.DependentProduct object at 0x27349e0>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x2734950>, <kernel.DependentProduct object at 0x2734a28>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27349e0>, <kernel.DependentProduct object at 0x2734b00>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734a28>, <kernel.DependentProduct object at 0x2734c68>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734b00>, <kernel.DependentProduct object at 0x2734a28>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734cf8>, <kernel.DependentProduct object at 0x2734c68>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734cb0>, <kernel.DependentProduct object at 0x2734d88>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_Pair_nat_o:(nat->(Prop->product_prod_nat_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734dd0>, <kernel.DependentProduct object at 0x2734cf8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_Pair_nat_int:(nat->(int->product_prod_nat_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734b00>, <kernel.DependentProduct object at 0x2734cb0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734e18>, <kernel.DependentProduct object at 0x2734dd0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734b00>, <kernel.DependentProduct object at 0x2734e18>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734dd0>, <kernel.DependentProduct object at 0x2734b00>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734e18>, <kernel.DependentProduct object at 0x2734dd0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734f80>, <kernel.DependentProduct object at 0x2734a28>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734e18>, <kernel.DependentProduct object at 0x2737128>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734a28>, <kernel.DependentProduct object at 0x2737170>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734a28>, <kernel.DependentProduct object at 0x2737170>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2734d88>, <kernel.DependentProduct object at 0x27372d8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737200>, <kernel.DependentProduct object at 0x2737050>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737368>, <kernel.DependentProduct object at 0x27373b0>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737248>, <kernel.DependentProduct object at 0x2737098>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27373f8>, <kernel.DependentProduct object at 0x2737098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc7828578312038201481er_o_o:((code_integer->(Prop->Prop))->(produc6271795597528267376eger_o->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737248>, <kernel.DependentProduct object at 0x27374d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1043322548047392435omplex:((code_integer->(Prop->set_complex))->(produc6271795597528267376eger_o->set_complex))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737098>, <kernel.DependentProduct object at 0x2737200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1253318751659547953et_int:((code_integer->(Prop->set_int))->(produc6271795597528267376eger_o->set_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27374d0>, <kernel.DependentProduct object at 0x27373b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc5431169771168744661et_nat:((code_integer->(Prop->set_nat))->(produc6271795597528267376eger_o->set_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737200>, <kernel.DependentProduct object at 0x2737488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc242741666403216561t_real:((code_integer->(Prop->set_real))->(produc6271795597528267376eger_o->set_real))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27373b0>, <kernel.DependentProduct object at 0x27373f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__String__Ochar
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc4188289175737317920o_char:((code_integer->(Prop->char))->(produc6271795597528267376eger_o->char))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737488>, <kernel.DependentProduct object at 0x2737248>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27373f8>, <kernel.DependentProduct object at 0x2737098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737248>, <kernel.DependentProduct object at 0x2737830>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737098>, <kernel.DependentProduct object at 0x27374d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737830>, <kernel.DependentProduct object at 0x27377a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27374d0>, <kernel.DependentProduct object at 0x2737200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x27377a0>, <kernel.DependentProduct object at 0x2737ab8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737200>, <kernel.DependentProduct object at 0x2737c20>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737ab8>, <kernel.DependentProduct object at 0x2737bd8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x2737c20>, <kernel.DependentProduct object at 0x2737d88>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737bd8>, <kernel.DependentProduct object at 0x2737e18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc27273713700761075at_nat:((nat->(nat->(product_prod_nat_nat->product_prod_nat_nat)))->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737d88>, <kernel.DependentProduct object at 0x2737a28>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737e18>, <kernel.DependentProduct object at 0x2737878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc1830744345554046123nteger:((nat->(nat->code_integer))->(product_prod_nat_nat->code_integer))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737a28>, <kernel.DependentProduct object at 0x2737ea8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737878>, <kernel.DependentProduct object at 0x2737ef0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737ea8>, <kernel.DependentProduct object at 0x2737878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737ea8>, <kernel.DependentProduct object at 0x2748128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737ea8>, <kernel.DependentProduct object at 0x2748170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2737a28>, <kernel.DependentProduct object at 0x2748050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748290>, <kernel.DependentProduct object at 0x2748098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc4927758841916487424_num_o:((nat->(num->Prop))->(product_prod_nat_num->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748128>, <kernel.DependentProduct object at 0x27482d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748320>, <kernel.DependentProduct object at 0x2748050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc6231982587499038204omplex:((nat->(num->set_complex))->(product_prod_nat_num->set_complex))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748440>, <kernel.DependentProduct object at 0x2748488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc1435849484188172666t_real:((nat->(num->set_real))->(product_prod_nat_num->set_real))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748050>, <kernel.DependentProduct object at 0x27484d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc5703948589228662326_num_o:((num->(num->Prop))->(product_prod_num_num->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748488>, <kernel.DependentProduct object at 0x27485f0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc2866383454006189126omplex:((num->(num->set_complex))->(product_prod_num_num->set_complex))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x27484d0>, <kernel.DependentProduct object at 0x27485a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc6406642877701697732et_int:((num->(num->set_int))->(product_prod_num_num->set_int))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x27485f0>, <kernel.DependentProduct object at 0x2748638>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc1361121860356118632et_nat:((num->(num->set_nat))->(product_prod_num_num->set_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x27485a8>, <kernel.DependentProduct object at 0x27486c8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc8296048397933160132t_real:((num->(num->set_real))->(product_prod_num_num->set_real))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748638>, <kernel.DependentProduct object at 0x2748050>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748830>, <kernel.DependentProduct object at 0x27488c0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748518>, <kernel.DependentProduct object at 0x2748908>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x27487e8>, <kernel.DependentProduct object at 0x2748950>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748050>, <kernel.DependentProduct object at 0x2748998>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x27488c0>, <kernel.DependentProduct object at 0x27487e8>) of role type named sy_c_Rat_OFract
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring fract:(int->(int->rat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x27489e0>, <kernel.DependentProduct object at 0x2748a28>) of role type named sy_c_Rat_OFrct
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring frct:(product_prod_int_int->rat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748950>, <kernel.DependentProduct object at 0x2748908>) of role type named sy_c_Rat_Onormalize
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x2748998>, <kernel.DependentProduct object at 0x2748ab8>) of role type named sy_c_Rat_Oquotient__of
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring quotient_of:(rat->product_prod_int_int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748950>, <kernel.Constant object at 0x2748a28>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V2521375963428798218omplex:set_complex
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748ab8>, <kernel.DependentProduct object at 0x2748b48>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748a28>, <kernel.DependentProduct object at 0x2748ab8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748b48>, <kernel.DependentProduct object at 0x2748a28>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748ab8>, <kernel.DependentProduct object at 0x2748c20>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748a28>, <kernel.DependentProduct object at 0x2748dd0>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V7735802525324610683m_real:(real->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748c20>, <kernel.DependentProduct object at 0x2748e60>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748dd0>, <kernel.DependentProduct object at 0x2748c20>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748e60>, <kernel.DependentProduct object at 0x2748dd0>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748c20>, <kernel.DependentProduct object at 0x2748e60>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748dd0>, <kernel.DependentProduct object at 0x2748a28>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748f80>, <kernel.DependentProduct object at 0x274a0e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring divide_divide_int:(int->(int->int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748dd0>, <kernel.DependentProduct object at 0x274a200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748a28>, <kernel.DependentProduct object at 0x274a248>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748dd0>, <kernel.DependentProduct object at 0x274a050>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring divide_divide_real:(real->(real->real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748a28>, <kernel.DependentProduct object at 0x274a0e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x2748a28>, <kernel.DependentProduct object at 0x274a290>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a1b8>, <kernel.DependentProduct object at 0x274a170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a248>, <kernel.DependentProduct object at 0x274a098>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a050>, <kernel.DependentProduct object at 0x274a1b8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a0e0>, <kernel.DependentProduct object at 0x274a248>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a050>, <kernel.DependentProduct object at 0x274a0e0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a200>, <kernel.DependentProduct object at 0x274a248>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring modulo_modulo_int:(int->(int->int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a290>, <kernel.DependentProduct object at 0x274a050>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a200>, <kernel.DependentProduct object at 0x274a5a8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a050>, <kernel.DependentProduct object at 0x274a170>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a5a8>, <kernel.DependentProduct object at 0x274a638>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a170>, <kernel.DependentProduct object at 0x274a6c8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a638>, <kernel.DependentProduct object at 0x274a758>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a6c8>, <kernel.DependentProduct object at 0x274a7e8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a638>, <kernel.DependentProduct object at 0x274a758>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring suminf_complex:((nat->complex)->complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a2d8>, <kernel.DependentProduct object at 0x274a638>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring suminf_int:((nat->int)->int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a830>, <kernel.DependentProduct object at 0x274a758>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring suminf_nat:((nat->nat)->nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a908>, <kernel.DependentProduct object at 0x274a6c8>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring suminf_real:((nat->real)->real)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a998>, <kernel.DependentProduct object at 0x274a758>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring summable_complex:((nat->complex)->Prop)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a950>, <kernel.DependentProduct object at 0x274a2d8>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring summable_int:((nat->int)->Prop)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a878>, <kernel.DependentProduct object at 0x274a908>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring summable_nat:((nat->nat)->Prop)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a9e0>, <kernel.DependentProduct object at 0x274a998>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring summable_real:((nat->real)->Prop)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274aa28>, <kernel.DependentProduct object at 0x274aa70>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a170>, <kernel.DependentProduct object at 0x274ab00>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sums_int:((nat->int)->(int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a998>, <kernel.DependentProduct object at 0x274a908>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274aab8>, <kernel.DependentProduct object at 0x274ab90>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sums_real:((nat->real)->(real->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a908>, <kernel.DependentProduct object at 0x274ac68>) of role type named sy_c_Set_OCollect_001_Eo
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_o:((Prop->Prop)->set_o)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a9e0>, <kernel.DependentProduct object at 0x274a170>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274ab90>, <kernel.DependentProduct object at 0x274acb0>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274ab00>, <kernel.DependentProduct object at 0x274ad40>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_int:((int->Prop)->set_int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a998>, <kernel.DependentProduct object at 0x274ab90>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274ad40>, <kernel.DependentProduct object at 0x274ad88>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274ab48>, <kernel.DependentProduct object at 0x274add0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274a908>, <kernel.DependentProduct object at 0x274ae18>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x274ab48>, <kernel.DependentProduct object at 0x274ae60>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274aa70>, <kernel.DependentProduct object at 0x274af38>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274a9e0>, <kernel.DependentProduct object at 0x274af80>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_num:((num->Prop)->set_num)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274ae18>, <kernel.DependentProduct object at 0x274aa70>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274a9e0>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274aa70>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274ae60>, <kernel.DependentProduct object at 0x274d098>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274acf8>, <kernel.DependentProduct object at 0x274d248>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274ae60>, <kernel.DependentProduct object at 0x274d290>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_real:((real->Prop)->set_real)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274aef0>, <kernel.DependentProduct object at 0x274d098>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274ae60>, <kernel.DependentProduct object at 0x274d2d8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274ae60>, <kernel.DependentProduct object at 0x274d320>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d098>, <kernel.DependentProduct object at 0x274d3b0>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring pow_nat:(set_nat->set_set_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Set_Oimage_001_Eo_001t__Set__Oset_I_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_o_set_o:((Prop->set_o)->(set_o->set_set_o))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d248>, <kernel.DependentProduct object at 0x274d3b0>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d320>, <kernel.DependentProduct object at 0x274d368>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.DependentProduct object at 0x274d3f8>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_int_set_int:((int->set_int)->(set_int->set_set_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d248>, <kernel.DependentProduct object at 0x274d1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d320>, <kernel.DependentProduct object at 0x274d128>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d248>, <kernel.DependentProduct object at 0x274d3b0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d320>, <kernel.DependentProduct object at 0x274d368>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d248>, <kernel.DependentProduct object at 0x274d290>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d368>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d710>, <kernel.DependentProduct object at 0x274d3f8>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.DependentProduct object at 0x274d1b8>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d200>, <kernel.DependentProduct object at 0x274d290>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring insert_int:(int->(set_int->set_int))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d368>, <kernel.DependentProduct object at 0x274d1b8>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d050>, <kernel.DependentProduct object at 0x274d200>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring insert_real:(real->(set_real->set_real))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d710>, <kernel.DependentProduct object at 0x274d950>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring set_fo1084959871951514735nteger:((nat->(code_integer->code_integer))->(nat->(nat->(code_integer->code_integer))))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d050>, <kernel.DependentProduct object at 0x274d200>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x274d950>, <kernel.DependentProduct object at 0x274d290>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274d200>, <kernel.DependentProduct object at 0x274d1b8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.DependentProduct object at 0x274d710>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_fo8365102181078989356at_num:((nat->(num->num))->(nat->(nat->(num->num))))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274d1b8>, <kernel.DependentProduct object at 0x274dab8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274d710>, <kernel.DependentProduct object at 0x274db48>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274dab8>, <kernel.DependentProduct object at 0x274dc68>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat__rel_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_fo3699595496184130361el_nat:(produc4471711990508489141at_nat->(produc4471711990508489141at_nat->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274db48>, <kernel.DependentProduct object at 0x274dc20>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat__rel_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_fo256927282339908995el_num:(produc3368934014287244435at_num->(produc3368934014287244435at_num->Prop))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274dc68>, <kernel.DependentProduct object at 0x274db48>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274dc20>, <kernel.DependentProduct object at 0x274dc68>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274db48>, <kernel.DependentProduct object at 0x274dc20>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274dc68>, <kernel.DependentProduct object at 0x274db48>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274dc20>, <kernel.DependentProduct object at 0x274dc68>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274db48>, <kernel.DependentProduct object at 0x274def0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or370866239135849197et_int:(set_int->(set_int->set_set_int))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274db48>, <kernel.DependentProduct object at 0x27500e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274db48>, <kernel.DependentProduct object at 0x27501b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x274df80>, <kernel.DependentProduct object at 0x2750248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x274db48>, <kernel.DependentProduct object at 0x27500e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x274df80>, <kernel.DependentProduct object at 0x2750368>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atLeast_real:(real->set_real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x274df80>, <kernel.DependentProduct object at 0x2750200>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001_Eo
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atMost_o:(Prop->set_o)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750320>, <kernel.DependentProduct object at 0x27503f8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atMost_int:(int->set_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750248>, <kernel.DependentProduct object at 0x2750440>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27501b8>, <kernel.DependentProduct object at 0x2750488>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atMost_num:(num->set_num)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750200>, <kernel.DependentProduct object at 0x27504d0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27503f8>, <kernel.DependentProduct object at 0x2750518>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_atMost_real:(real->set_real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750200>, <kernel.DependentProduct object at 0x2750560>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Int__Oint_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or58775011639299419et_int:(set_int->set_set_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750518>, <kernel.DependentProduct object at 0x27505f0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750560>, <kernel.DependentProduct object at 0x2750518>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27505f0>, <kernel.DependentProduct object at 0x2750560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750518>, <kernel.DependentProduct object at 0x27505f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750560>, <kernel.DependentProduct object at 0x2750518>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27505f0>, <kernel.DependentProduct object at 0x2750560>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750518>, <kernel.DependentProduct object at 0x2750908>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001_Eo
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or6416164934427428222Than_o:(Prop->set_o)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750560>, <kernel.DependentProduct object at 0x27509e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or1207661135979820486an_int:(int->set_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750908>, <kernel.DependentProduct object at 0x2750a70>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27509e0>, <kernel.DependentProduct object at 0x2750b00>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27505f0>, <kernel.DependentProduct object at 0x2750b48>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001_Eo
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_lessThan_o:(Prop->set_o)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750a70>, <kernel.DependentProduct object at 0x2750bd8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_lessThan_int:(int->set_int)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750a28>, <kernel.DependentProduct object at 0x2750c20>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750908>, <kernel.DependentProduct object at 0x2750c68>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_lessThan_num:(num->set_num)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750b48>, <kernel.DependentProduct object at 0x2750cb0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750908>, <kernel.DependentProduct object at 0x2750cf8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750cb0>, <kernel.DependentProduct object at 0x2750d88>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750bd8>, <kernel.DependentProduct object at 0x2750e18>) of role type named sy_c_String_Oascii__of
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring ascii_of:(char->char)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750a28>, <kernel.DependentProduct object at 0x2750e60>) of role type named sy_c_String_Ochar_OChar
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27502d8>, <kernel.DependentProduct object at 0x2750f80>) of role type named sy_c_String_Ochar__of__integer
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring char_of_integer:(code_integer->char)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750bd8>, <kernel.DependentProduct object at 0x2750a28>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750dd0>, <kernel.DependentProduct object at 0x2750e18>) of role type named sy_c_String_Ointeger__of__char
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring integer_of_char:(char->code_integer)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x27502d8>, <kernel.DependentProduct object at 0x2750bd8>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x2750dd0>, <kernel.DependentProduct object at 0x2753128>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2750bd8>, <kernel.DependentProduct object at 0x27531b8>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2750bd8>, <kernel.DependentProduct object at 0x2753050>) of role type named sy_c_Topological__Spaces_Ogenerate__topology_001_Eo
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4667128019001906403logy_o:(set_set_o->(set_o->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2750a28>, <kernel.DependentProduct object at 0x2753170>) of role type named sy_c_Topological__Spaces_Ogenerate__topology_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo1611008123915946401gy_int:(set_set_int->(set_int->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753050>, <kernel.DependentProduct object at 0x2753248>) of role type named sy_c_Topological__Spaces_Ogenerate__topology_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo1613498594424996677gy_nat:(set_set_nat->(set_nat->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753290>, <kernel.DependentProduct object at 0x27531b8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo2919662092509805066nteger:((nat->code_integer)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27530e0>, <kernel.DependentProduct object at 0x27531b8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753050>, <kernel.DependentProduct object at 0x2753440>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27530e0>, <kernel.DependentProduct object at 0x27534d0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753440>, <kernel.DependentProduct object at 0x2753560>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27534d0>, <kernel.DependentProduct object at 0x27535f0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753560>, <kernel.DependentProduct object at 0x2753680>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Int__Oint_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo3100542954746470799et_int:((nat->set_int)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27535f0>, <kernel.DependentProduct object at 0x2753710>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001_Eo
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo9180104560040979295open_o:(set_o->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753680>, <kernel.DependentProduct object at 0x27537a0>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4110288021797289639omplex:(set_complex->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753710>, <kernel.DependentProduct object at 0x2753830>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4325760605701065253en_int:(set_int->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27537a0>, <kernel.DependentProduct object at 0x27538c0>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4328251076210115529en_nat:(set_nat->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753830>, <kernel.DependentProduct object at 0x2753950>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4860482606490270245n_real:(set_real->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27538c0>, <kernel.DependentProduct object at 0x2753830>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753950>, <kernel.DependentProduct object at 0x27537a0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753830>, <kernel.DependentProduct object at 0x2753b00>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo6517432010174082258omplex:((nat->complex)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27537a0>, <kernel.DependentProduct object at 0x2753b90>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753b00>, <kernel.Constant object at 0x2753a28>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753b90>, <kernel.Constant object at 0x2753830>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753c68>, <kernel.DependentProduct object at 0x2753d88>) of role type named sy_c_Transcendental_Oarccos
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring arccos:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753c20>, <kernel.DependentProduct object at 0x2753dd0>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring arcosh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753cb0>, <kernel.DependentProduct object at 0x2753e18>) of role type named sy_c_Transcendental_Oarcsin
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring arcsin:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753830>, <kernel.DependentProduct object at 0x2753e60>) of role type named sy_c_Transcendental_Oarctan
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring arctan:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753d88>, <kernel.DependentProduct object at 0x2753ea8>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring arsinh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753dd0>, <kernel.DependentProduct object at 0x2753ef0>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring artanh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753e18>, <kernel.DependentProduct object at 0x2753f38>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cos_complex:(complex->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753e60>, <kernel.DependentProduct object at 0x2753f80>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cos_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753368>, <kernel.DependentProduct object at 0x2756050>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cos_coeff:(nat->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f38>, <kernel.DependentProduct object at 0x2752050>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cosh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753d88>, <kernel.DependentProduct object at 0x2756098>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring cot_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753368>, <kernel.DependentProduct object at 0x2753e60>) of role type named sy_c_Transcendental_Odiffs_001t__Code____Numeral__Ointeger
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring diffs_Code_integer:((nat->code_integer)->(nat->code_integer))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f38>, <kernel.DependentProduct object at 0x2753d88>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f80>, <kernel.DependentProduct object at 0x2756098>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring diffs_int:((nat->int)->(nat->int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f38>, <kernel.DependentProduct object at 0x2752098>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753d88>, <kernel.DependentProduct object at 0x2752098>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring diffs_real:((nat->real)->(nat->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f38>, <kernel.DependentProduct object at 0x2752128>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring exp_complex:(complex->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f80>, <kernel.DependentProduct object at 0x27520e0>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring exp_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2753f80>, <kernel.DependentProduct object at 0x27522d8>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring ln_ln_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752050>, <kernel.DependentProduct object at 0x2752200>) of role type named sy_c_Transcendental_Olog
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring log:(real->(real->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752320>, <kernel.Constant object at 0x2752200>) of role type named sy_c_Transcendental_Opi
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring pi:real
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27522d8>, <kernel.DependentProduct object at 0x2752050>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring powr_real:(real->(real->real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752128>, <kernel.DependentProduct object at 0x27523f8>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sin_complex:(complex->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752098>, <kernel.DependentProduct object at 0x27520e0>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sin_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752290>, <kernel.DependentProduct object at 0x27524d0>) of role type named sy_c_Transcendental_Osin__coeff
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sin_coeff:(nat->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27523f8>, <kernel.DependentProduct object at 0x2752098>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring sinh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x27524d0>, <kernel.DependentProduct object at 0x2752518>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tan_complex:(complex->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752320>, <kernel.DependentProduct object at 0x2752560>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tan_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752290>, <kernel.DependentProduct object at 0x27525a8>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tanh_complex:(complex->complex)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752098>, <kernel.DependentProduct object at 0x27525f0>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring tanh_real:(real->real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2752290>, <kernel.DependentProduct object at 0x2752098>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752200>, <kernel.DependentProduct object at 0x27526c8>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27525a8>, <kernel.DependentProduct object at 0x2752098>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27527a0>, <kernel.DependentProduct object at 0x2752290>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752200>, <kernel.DependentProduct object at 0x27527a0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752830>, <kernel.DependentProduct object at 0x2752290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752200>, <kernel.DependentProduct object at 0x2752830>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27525a8>, <kernel.DependentProduct object at 0x2752290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752950>, <kernel.DependentProduct object at 0x2752200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27525a8>, <kernel.DependentProduct object at 0x2752830>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752200>, <kernel.DependentProduct object at 0x27525a8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752830>, <kernel.DependentProduct object at 0x2752290>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752a28>, <kernel.DependentProduct object at 0x27525a8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752b00>, <kernel.DependentProduct object at 0x27525a8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752680>, <kernel.DependentProduct object at 0x2752b00>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752b90>, <kernel.DependentProduct object at 0x2752c20>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752290>, <kernel.DependentProduct object at 0x27525a8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752680>, <kernel.DependentProduct object at 0x2752290>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752bd8>, <kernel.DependentProduct object at 0x2752680>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752d88>, <kernel.DependentProduct object at 0x2752bd8>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752c68>, <kernel.DependentProduct object at 0x2752d88>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752c20>, <kernel.DependentProduct object at 0x2752c68>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752dd0>, <kernel.DependentProduct object at 0x2752bd8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752e18>, <kernel.DependentProduct object at 0x2752b90>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752dd0>, <kernel.DependentProduct object at 0x2752e18>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752ef0>, <kernel.DependentProduct object at 0x2752cf8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752cb0>, <kernel.DependentProduct object at 0x2752ef0>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752b90>, <kernel.DependentProduct object at 0x2752cb0>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752e18>, <kernel.DependentProduct object at 0x2752c20>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752cb0>, <kernel.DependentProduct object at 0x2759128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752c20>, <kernel.DependentProduct object at 0x27590e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752dd0>, <kernel.DependentProduct object at 0x2759170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752cb0>, <kernel.DependentProduct object at 0x27591b8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752c20>, <kernel.DependentProduct object at 0x2759200>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2752cb0>, <kernel.DependentProduct object at 0x2759098>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759050>, <kernel.DependentProduct object at 0x2759290>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759098>, <kernel.DependentProduct object at 0x27593b0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759290>, <kernel.DependentProduct object at 0x2759200>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759248>, <kernel.DependentProduct object at 0x2759050>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Nat__Onat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V3895251965096974666el_nat:(produc8306885398267862888on_nat->(produc8306885398267862888on_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759200>, <kernel.DependentProduct object at 0x27593f8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Num__Onum
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V452583751252753300el_num:(produc1193250871479095198on_num->(produc1193250871479095198on_num->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759050>, <kernel.DependentProduct object at 0x27594d0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift__rel_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_V7235779383477046023at_nat:(produc5542196010084753463at_nat->(produc5542196010084753463at_nat->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759248>, <kernel.DependentProduct object at 0x27593f8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759320>, <kernel.DependentProduct object at 0x2759518>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27595f0>, <kernel.DependentProduct object at 0x27593f8>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27594d0>, <kernel.DependentProduct object at 0x27596c8>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759638>, <kernel.DependentProduct object at 0x27595f0>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27593b0>, <kernel.DependentProduct object at 0x27594d0>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x27597e8>, <kernel.DependentProduct object at 0x2759050>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2759710>, <kernel.DependentProduct object at 0x27596c8>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x27593f8>, <kernel.DependentProduct object at 0x2759050>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x27598c0>, <kernel.DependentProduct object at 0x2759638>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2759518>, <kernel.DependentProduct object at 0x27594d0>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x27595f0>, <kernel.DependentProduct object at 0x2759050>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2759518>, <kernel.DependentProduct object at 0x27596c8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x27595f0>, <kernel.DependentProduct object at 0x2759050>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_P6019419558468335806at_nat:((produc4471711990508489141at_nat->(produc4471711990508489141at_nat->Prop))->(produc4471711990508489141at_nat->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x27596c8>, <kernel.DependentProduct object at 0x2759638>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_P5496254298877145759on_nat:((produc8306885398267862888on_nat->(produc8306885398267862888on_nat->Prop))->(produc8306885398267862888on_nat->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2759050>, <kernel.DependentProduct object at 0x27599e0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_P4916641582247091100at_num:((produc3368934014287244435at_num->(produc3368934014287244435at_num->Prop))->(produc3368934014287244435at_num->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2759638>, <kernel.DependentProduct object at 0x2759a70>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_P7605991808943153877on_num:((produc1193250871479095198on_num->(produc1193250871479095198on_num->Prop))->(produc1193250871479095198on_num->Prop))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x27599e0>, <kernel.DependentProduct object at 0x2759b00>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring accp_P3267385326087170368at_nat:((produc5542196010084753463at_nat->(produc5542196010084753463at_nat->Prop))->(produc5542196010084753463at_nat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759a70>, <kernel.DependentProduct object at 0x2759638>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759b00>, <kernel.DependentProduct object at 0x2759c68>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759638>, <kernel.DependentProduct object at 0x2759cf8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring accp_P3113834385874906142um_num:((product_prod_num_num->(product_prod_num_num->Prop))->(product_prod_num_num->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759c68>, <kernel.DependentProduct object at 0x27599e0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759b00>, <kernel.DependentProduct object at 0x2759638>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x27599e0>, <kernel.DependentProduct object at 0x2759e60>) of role type named sy_c_Wellfounded_Omeasure_001t__Int__Oint
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring measure_int:((int->nat)->set_Pr958786334691620121nt_int)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759dd0>, <kernel.DependentProduct object at 0x2759cf8>) of role type named sy_c_Wellfounded_Omeasure_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring measure_nat:((nat->nat)->set_Pr1261947904930325089at_nat)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759c68>, <kernel.DependentProduct object at 0x2759ef0>) of role type named sy_c_Wellfounded_Omeasure_001t__Num__Onum
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring measure_num:((num->nat)->set_Pr8218934625190621173um_num)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759b00>, <kernel.Constant object at 0x2759f38>) of role type named sy_c_Wellfounded_Opred__nat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759878>, <kernel.DependentProduct object at 0x275c098>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring fChoice_real:((real->Prop)->real)
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759ef0>, <kernel.DependentProduct object at 0x2759878>) of role type named sy_c_member_001_Eo
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_o:(Prop->(set_o->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x27599e0>, <kernel.DependentProduct object at 0x275c0e0>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_complex:(complex->(set_complex->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759c68>, <kernel.DependentProduct object at 0x275c050>) of role type named sy_c_member_001t__Int__Oint
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_int:(int->(set_int->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759cf8>, <kernel.DependentProduct object at 0x275c128>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759878>, <kernel.DependentProduct object at 0x275c1b8>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759cf8>, <kernel.DependentProduct object at 0x275c200>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759878>, <kernel.DependentProduct object at 0x275c1b8>) of role type named sy_c_member_001t__Nat__Onat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_nat:(nat->(set_nat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x2759cf8>, <kernel.DependentProduct object at 0x275c248>) of role type named sy_c_member_001t__Num__Onum
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_num:(num->(set_num->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c170>, <kernel.DependentProduct object at 0x275c200>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member1379723562493234055eger_o:(produc6271795597528267376eger_o->(set_Pr448751882837621926eger_o->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c0e0>, <kernel.DependentProduct object at 0x275c368>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c170>, <kernel.DependentProduct object at 0x275c3f8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c368>, <kernel.DependentProduct object at 0x275c488>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member9148766508732265716at_num:(product_prod_nat_num->(set_Pr6200539531224447659at_num->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c3f8>, <kernel.DependentProduct object at 0x275c518>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member7279096912039735102um_num:(product_prod_num_num->(set_Pr8218934625190621173um_num->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c170>, <kernel.DependentProduct object at 0x275c488>) of role type named sy_c_member_001t__Rat__Orat
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_rat:(rat->(set_rat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c2d8>, <kernel.DependentProduct object at 0x275c170>) of role type named sy_c_member_001t__Real__Oreal
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_real:(real->(set_real->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c638>, <kernel.DependentProduct object at 0x275c3f8>) of role type named sy_c_member_001t__Set__Oset_It__Int__Oint_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_set_int:(set_int->(set_set_int->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c0e0>, <kernel.DependentProduct object at 0x275c488>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c170>, <kernel.DependentProduct object at 0x275c638>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c248>, <kernel.Constant object at 0x275c638>) of role type named sy_v_deg____
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring deg:nat
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c488>, <kernel.Constant object at 0x275c638>) of role type named sy_v_lx____
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring lx:nat
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c2d8>, <kernel.Constant object at 0x275c638>) of role type named sy_v_m____
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring m:nat
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c758>, <kernel.Constant object at 0x275c638>) of role type named sy_v_ma____
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring ma:nat
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c6c8>, <kernel.Constant object at 0x275c638>) of role type named sy_v_mi____
% 0.73/0.89 Using role type
% 0.73/0.89 Declaring mi:nat
% 0.73/0.89 FOF formula (<kernel.Constant object at 0x275c7a0>, <kernel.Constant object at 0x275c638>) of role type named sy_v_na____
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring na:nat
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x275c7e8>, <kernel.Constant object at 0x275c638>) of role type named sy_v_summary____
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring summary:vEBT_VEBT
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x275c830>, <kernel.Constant object at 0x275c638>) of role type named sy_v_summin____
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring summin:nat
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x275c878>, <kernel.Constant object at 0x275c638>) of role type named sy_v_treeList____
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring treeList:list_VEBT_VEBT
% 0.73/0.90 FOF formula (<kernel.Constant object at 0x275c8c0>, <kernel.Constant object at 0x275c638>) of role type named sy_v_xa____
% 0.73/0.90 Using role type
% 0.73/0.90 Declaring xa:nat
% 0.73/0.90 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_0__C1_C
% 0.73/0.90 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.73/0.90 <<<] :
% 0.73/0.90 ( ! [N: nat] :
% 0.73/0.90 ( X
% 0.73/0.90 != ( plus_plus_nat @ N @ N ) )
% 0.73/0.90 => ~ !>>>!!!<<< [N: nat] :
% 0.73/0.90 ( X
% 0.73/0.90 != ( plus_plus_nat @ N @ ( suc @ N ) ) ) ) ).
% 0.73/0.90
% 0.73/0.90 % ev>>>
% 0.73/0.90 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,144076), LexToken(LPAR,'(',1,144079), name, LexToken(COMMA,',',1,144103), formula_role, LexToken(COMMA,',',1,144109), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,144117), thf_variable_list, LexToken(RBRACKET,']',1,144124), LexToken(COLON,':',1,144126), LexToken(LPAR,'(',1,144134), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.73/0.90 Unexpected exception Syntax error at '!':BANG
% 0.73/0.90 Traceback (most recent call last):
% 0.73/0.90 File "CASC.py", line 79, in <module>
% 0.73/0.90 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.73/0.90 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.73/0.90 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.73/0.90 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.73/0.90 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.73/0.90 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.73/0.90 tok = self.errorfunc(errtoken)
% 0.73/0.90 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.73/0.90 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.73/0.90 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------