TSTP Solution File: ITP257^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP257^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 17:47:49 EDT 2022
% Result : Unknown 0.75s 0.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP257^3 : TPTP v7.6.0. Released v7.6.0.
% 0.10/0.14 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 Computer : n007.cluster.edu
% 0.12/0.35 Model : x86_64 x86_64
% 0.12/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 RAMPerCPU : 8042.1875MB
% 0.12/0.35 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % DateTime : Fri Mar 18 12:34:51 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.36 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.36 Python 2.7.5
% 0.45/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x214b7e8>, <kernel.Type object at 0x214b6c8>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc5542196010084753463at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x214b128>, <kernel.Type object at 0x22b6f38>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc5491161045314408544at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x214bbd8>, <kernel.Type object at 0x22b6fc8>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc1193250871479095198on_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x214bbd8>, <kernel.Type object at 0x22b6ef0>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc8306885398267862888on_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x214b128>, <kernel.Type object at 0x22b6e60>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc6121120109295599847at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x22b6dd0>, <kernel.Type object at 0x22b6e18>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc3368934014287244435at_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x22b6d88>, <kernel.Type object at 0x22b6ea8>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc4471711990508489141at_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x22b6d40>, <kernel.Type object at 0x22b6dd0>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc7036089656553540234on_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x22b6c68>, <kernel.Type object at 0x22b6bd8>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring produc2233624965454879586on_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x22b6d40>, <kernel.Type object at 0x22b6d88>) 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
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_fi4554929511873752355omplex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x22b6b48>, <kernel.Type object at 0x22b6c68>) 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 0x22b6ab8>, <kernel.Type object at 0x22b6d40>) 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 0x22b6a28>, <kernel.Type object at 0x22b6b48>) 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 0x22b6998>, <kernel.Type object at 0x22b6ab8>) 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 0x22b6908>, <kernel.Type object at 0x22b6a28>) 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 0x22b6878>, <kernel.Type object at 0x22b6998>) 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 0x22b6758>, <kernel.Type object at 0x22b6908>) 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 0x22b66c8>, <kernel.Type object at 0x22b6878>) 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 0x22b6638>, <kernel.Type object at 0x22b6758>) 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 0x22b65a8>, <kernel.Type object at 0x22b66c8>) 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 0x22b6518>, <kernel.Type object at 0x22b6638>) 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 0x22b6488>, <kernel.Type object at 0x22b65a8>) 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 0x22b63f8>, <kernel.Type object at 0x22b6518>) 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 0x22b6368>, <kernel.Type object at 0x22b6488>) 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 0x22b62d8>, <kernel.Type object at 0x22b63f8>) 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 0x22b6248>, <kernel.Type object at 0x22b6368>) 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 0x22b61b8>, <kernel.Type object at 0x22b62d8>) 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 0x22b6098>, <kernel.Type object at 0x2ac51a386950>) 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 0x22b6c20>, <kernel.Type object at 0x2ac51a361998>) 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 0x22b6098>, <kernel.Type object at 0x2ac51a361a70>) 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 0x22b6098>, <kernel.Type object at 0x2129638>) 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 0x2ac51a361998>, <kernel.Type object at 0x2129680>) 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 0x2ac51a361998>, <kernel.Type object at 0x2129d88>) 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 0x2ac51a361ea8>, <kernel.Type object at 0x2129b90>) 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 0x2129a70>, <kernel.Type object at 0x2129b00>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4894624898956917775BT_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2129cf8>, <kernel.Type object at 0x2ac51a361ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_Pr958786334691620121nt_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2129a70>, <kernel.Type object at 0x2146f38>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc4411394909380815293omplex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2129a70>, <kernel.Type object at 0x2146ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P5087981734274514673_int_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2129cf8>, <kernel.Type object at 0x2146d40>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_P3795440434834930179_o_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2129a70>, <kernel.Type object at 0x214efc8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_list_VEBT_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2146d40>, <kernel.Type object at 0x214efc8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc334124729049499915VEBT_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2146d40>, <kernel.Type object at 0x214e950>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring produc2504756804600209347T_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2146e60>, <kernel.Type object at 0x214e908>) 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 0x214ea28>, <kernel.Type object at 0x214ed88>) 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 0x2146dd0>, <kernel.Type object at 0x214e908>) 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 0x2146dd0>, <kernel.Type object at 0x22bf2d8>) 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 0x214e908>, <kernel.Type object at 0x22bf2d8>) 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 0x214ed88>, <kernel.Type object at 0x22bf290>) 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 0x214ed88>, <kernel.Type object at 0x22bf200>) 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 0x214e908>, <kernel.Type object at 0x22bf290>) 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 0x214ed88>, <kernel.Type object at 0x22bf1b8>) 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 0x214e998>, <kernel.Type object at 0x22bf128>) 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 0x214e998>, <kernel.Type object at 0x22bf050>) 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 0x22bf170>, <kernel.Type object at 0x22bf098>) 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 0x22bf2d8>, <kernel.Type object at 0x22bf368>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_o_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf0e0>, <kernel.Type object at 0x22bf3b0>) 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 0x22bf170>, <kernel.Type object at 0x22bf3f8>) 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 0x22bf2d8>, <kernel.Type object at 0x22bf440>) 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 0x22bf0e0>, <kernel.Type object at 0x22bf488>) 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 0x22bf170>, <kernel.Type object at 0x22bf4d0>) 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 0x22bf2d8>, <kernel.Type object at 0x22bf518>) 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 0x22bf0e0>, <kernel.Type object at 0x22bf560>) 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 0x22bf170>, <kernel.Type object at 0x22bf5a8>) 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 0x22bf2d8>, <kernel.Type object at 0x22bf5f0>) 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 0x22bf0e0>, <kernel.Type object at 0x22bf638>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring product_prod_o_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf170>, <kernel.Type object at 0x22bf680>) 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 0x22bf2d8>, <kernel.Type object at 0x22bf6c8>) 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 0x22bf0e0>, <kernel.Type object at 0x22bf710>) 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 0x22bf170>, <kernel.Type object at 0x22bf758>) 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 0x22bf2d8>, <kernel.Type object at 0x22bf7a0>) 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 0x22bf0e0>, <kernel.Type object at 0x22bf7e8>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_char:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf170>, <kernel.Type object at 0x22bf830>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf200>, <kernel.Type object at 0x22bf7e8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf2d8>, <kernel.Type object at 0x22bf8c0>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf170>, <kernel.Type object at 0x22bf950>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf7a0>, <kernel.Type object at 0x22bf998>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf200>, <kernel.Type object at 0x22bf9e0>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring vEBT_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf2d8>, <kernel.Type object at 0x22bfa28>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_rat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf170>, <kernel.Type object at 0x22bfa70>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf7a0>, <kernel.Type object at 0x22bfab8>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf200>, <kernel.Type object at 0x22bfb00>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring set_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf2d8>, <kernel.Type object at 0x22bfb48>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring code_integer:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf170>, <kernel.Type object at 0x22bfb90>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring extended_enat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x22bf200>, <kernel.Type object at 0x22bfb00>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.65 Declaring list_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x22bf0e0>, <kernel.Type object at 0x22bfc20>) 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 0x22bf2d8>, <kernel.Type object at 0x22bfb48>) 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 0x22bf200>, <kernel.Type object at 0x22bfc68>) 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 0x22bf0e0>, <kernel.Type object at 0x22bfcb0>) 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 0x22bf2d8>, <kernel.Type object at 0x22bfcf8>) 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 0x22bf200>, <kernel.Type object at 0x22bfd40>) 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 0x22bf0e0>, <kernel.Type object at 0x22bfd88>) 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 0x22bf2d8>, <kernel.Type object at 0x22bfdd0>) 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 0x22bf2d8>, <kernel.DependentProduct object at 0x22bff80>) 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 0x22bfe18>, <kernel.DependentProduct object at 0x2135050>) 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 0x22bff80>, <kernel.DependentProduct object at 0x21350e0>) 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 0x22bff38>, <kernel.DependentProduct object at 0x2135170>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x22bff38>, <kernel.DependentProduct object at 0x2135200>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring archim8280529875227126926d_real:(real->int)
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x22bf2d8>, <kernel.DependentProduct object at 0x2135248>) 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 0x22bf7a0>, <kernel.DependentProduct object at 0x2135290>) 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 0x22bf7a0>, <kernel.DependentProduct object at 0x2135050>) 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 0x2135200>, <kernel.DependentProduct object at 0x2135320>) 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 0x21351b8>, <kernel.DependentProduct object at 0x2135170>) 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 0x2135248>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135170>, <kernel.DependentProduct object at 0x2135248>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135170>) 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 0x2135248>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135170>, <kernel.DependentProduct object at 0x2135248>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135170>) 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 0x2135248>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135170>, <kernel.DependentProduct object at 0x2135248>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135170>) 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 0x2135248>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135170>, <kernel.DependentProduct object at 0x21352d8>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135a28>) 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 0x21352d8>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135a28>, <kernel.DependentProduct object at 0x21352d8>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135a28>) 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 0x21352d8>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135a28>, <kernel.DependentProduct object at 0x21352d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21353b0>, <kernel.DependentProduct object at 0x2135a28>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21352d8>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135a28>, <kernel.DependentProduct object at 0x21352d8>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135a28>) 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 0x21352d8>, <kernel.DependentProduct object at 0x21353b0>) 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 0x2135a28>, <kernel.DependentProduct object at 0x2135488>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2135f38>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2138098>) 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 0x21353b0>, <kernel.DependentProduct object at 0x2138200>) 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 0x2135a28>, <kernel.DependentProduct object at 0x2138290>) 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 0x2138200>, <kernel.DependentProduct object at 0x2138128>) 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 0x2135a28>, <kernel.DependentProduct object at 0x2138320>) 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 0x2138248>, <kernel.DependentProduct object at 0x2138488>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oand__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_un1837492267222099188nd_num:(num->(num->option_num))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x21383f8>, <kernel.DependentProduct object at 0x2138248>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_Oxor__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_un6178654185764691216or_num:(num->(num->option_num))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2138488>, <kernel.DependentProduct object at 0x21383f8>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oand__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_un7362597486090784418nd_num:(num->(num->option_num))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2138248>, <kernel.DependentProduct object at 0x2138488>) of role type named sy_c_Bit__Operations_Ounique__euclidean__semiring__with__bit__operations__class_Oxor__num
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bit_un2480387367778600638or_num:(num->(num->option_num))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2138200>, <kernel.DependentProduct object at 0x21383f8>) 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 0x2138368>, <kernel.DependentProduct object at 0x2138200>) 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 0x2138560>, <kernel.DependentProduct object at 0x21383f8>) 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 0x2138710>, <kernel.DependentProduct object at 0x2138440>) 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 0x21383f8>, <kernel.DependentProduct object at 0x21387e8>) 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 0x21386c8>, <kernel.DependentProduct object at 0x21387a0>) 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 0x2138560>, <kernel.DependentProduct object at 0x2138830>) 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 0x2138440>, <kernel.DependentProduct object at 0x2138878>) 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 0x2138560>, <kernel.DependentProduct object at 0x2138440>) 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 0x2138878>, <kernel.DependentProduct object at 0x2138560>) 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 0x2138440>, <kernel.DependentProduct object at 0x21389e0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x2138560>, <kernel.DependentProduct object at 0x2138a70>) 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 0x21386c8>, <kernel.DependentProduct object at 0x2138b00>) 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 0x2138560>, <kernel.DependentProduct object at 0x2138b48>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.46/0.66 Using role type
% 0.46/0.67 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2138b00>, <kernel.DependentProduct object at 0x2138bd8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2138998>, <kernel.DependentProduct object at 0x2138c68>) of role type named sy_c_Complex_OArg
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring arg:(complex->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x21389e0>, <kernel.DependentProduct object at 0x2138cb0>) of role type named sy_c_Complex_Ocis
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring cis:(real->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2138b90>, <kernel.DependentProduct object at 0x2138cf8>) of role type named sy_c_Complex_Ocnj
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring cnj:(complex->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2138758>, <kernel.DependentProduct object at 0x2138b90>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring complex2:(real->(real->complex))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2138d88>, <kernel.DependentProduct object at 0x2138e18>) 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 0x2138b90>, <kernel.DependentProduct object at 0x2138dd0>) 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 0x2138b00>, <kernel.DependentProduct object at 0x2138cb0>) 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 0x2138bd8>, <kernel.Constant object at 0x2138e18>) 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 0x2138b90>, <kernel.DependentProduct object at 0x2138cf8>) 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 0x2138bd8>, <kernel.DependentProduct object at 0x2138fc8>) 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 0x2138cf8>, <kernel.DependentProduct object at 0x2138f80>) 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 0x2138dd0>, <kernel.DependentProduct object at 0x213f0e0>) 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 0x2138e18>, <kernel.DependentProduct object at 0x2138f80>) 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 0x2138bd8>, <kernel.DependentProduct object at 0x2138fc8>) 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 0x2138758>, <kernel.DependentProduct object at 0x213f170>) 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 0x2138758>, <kernel.DependentProduct object at 0x213f128>) 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 0x2138758>, <kernel.DependentProduct object at 0x213f1b8>) 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 0x213f0e0>, <kernel.DependentProduct object at 0x213f248>) 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 0x213f1b8>, <kernel.DependentProduct object at 0x213f320>) 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 0x213f200>, <kernel.DependentProduct object at 0x213f3f8>) 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 0x213f3b0>, <kernel.DependentProduct object at 0x213f200>) 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 0x213f3f8>, <kernel.DependentProduct object at 0x213f518>) 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 0x213f200>, <kernel.DependentProduct object at 0x213f3f8>) 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 0x213f518>, <kernel.DependentProduct object at 0x213f200>) 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 0x213f3f8>, <kernel.DependentProduct object at 0x213f518>) 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 0x213f200>, <kernel.DependentProduct object at 0x213f3f8>) 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 0x213f518>, <kernel.DependentProduct object at 0x213f200>) 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 0x213f3f8>, <kernel.DependentProduct object at 0x213f518>) 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 0x213f200>, <kernel.DependentProduct object at 0x213f3f8>) 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 0x213f518>, <kernel.DependentProduct object at 0x213f200>) 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 0x213f3f8>, <kernel.DependentProduct object at 0x213f3b0>) 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 0x213f200>, <kernel.DependentProduct object at 0x213fab8>) 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 0x213f3b0>, <kernel.DependentProduct object at 0x213fb48>) 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 0x213fab8>, <kernel.DependentProduct object at 0x213fbd8>) 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 0x213fb48>, <kernel.DependentProduct object at 0x213fc68>) 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 0x213fbd8>, <kernel.DependentProduct object at 0x213fcf8>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fc68>, <kernel.DependentProduct object at 0x213fd88>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213f560>, <kernel.DependentProduct object at 0x213fe18>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring inverse_inverse_rat:(rat->rat)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fcb0>, <kernel.DependentProduct object at 0x213fe60>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring inverse_inverse_real:(real->real)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fd40>, <kernel.Constant object at 0x213fe60>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring at_bot_real:filter_real
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fe18>, <kernel.Constant object at 0x213fe60>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring at_top_nat:filter_nat
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fcf8>, <kernel.Constant object at 0x213fe60>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring at_top_real:filter_real
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fc68>, <kernel.DependentProduct object at 0x213fe18>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fcf8>, <kernel.DependentProduct object at 0x213fe60>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventu5826381225784669381omplex:((produc4411394909380815293omplex->Prop)->(filter6041513312241820739omplex->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fe18>, <kernel.DependentProduct object at 0x213fd88>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fe60>, <kernel.DependentProduct object at 0x21410e0>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventu3244425730907250241l_real:((produc2422161461964618553l_real->Prop)->(filter2146258269922977983l_real->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x213fe18>, <kernel.DependentProduct object at 0x2141170>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x213fd88>, <kernel.DependentProduct object at 0x2141170>) 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 0x213fe18>, <kernel.DependentProduct object at 0x2141170>) 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 0x213fe60>, <kernel.DependentProduct object at 0x2141128>) 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 0x213fe60>, <kernel.DependentProduct object at 0x21410e0>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x2141320>, <kernel.DependentProduct object at 0x2141248>) 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 0x21410e0>, <kernel.DependentProduct object at 0x2141320>) 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 0x2141290>, <kernel.DependentProduct object at 0x2141248>) 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 0x2141098>, <kernel.DependentProduct object at 0x2141440>) 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 0x21413f8>, <kernel.DependentProduct object at 0x2141290>) 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 0x2141440>, <kernel.DependentProduct object at 0x2141518>) 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 0x2141128>, <kernel.DependentProduct object at 0x2141560>) 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 0x2141440>, <kernel.DependentProduct object at 0x21415a8>) 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 0x2141098>, <kernel.DependentProduct object at 0x2141638>) 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 0x2141518>, <kernel.DependentProduct object at 0x2141680>) 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 0x2141488>, <kernel.DependentProduct object at 0x21416c8>) 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 0x2141098>, <kernel.DependentProduct object at 0x2141440>) 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 0x2141680>, <kernel.DependentProduct object at 0x2141758>) 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 0x2141488>, <kernel.DependentProduct object at 0x21417a0>) 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 0x2141680>, <kernel.DependentProduct object at 0x21417e8>) 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 0x21417a0>, <kernel.DependentProduct object at 0x2141878>) 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 0x21417e8>, <kernel.DependentProduct object at 0x2141908>) 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 0x2141878>, <kernel.DependentProduct object at 0x2141998>) 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 0x21417e8>, <kernel.DependentProduct object at 0x2141a28>) 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 0x2141908>, <kernel.DependentProduct object at 0x2141a70>) 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 0x21417e8>, <kernel.DependentProduct object at 0x2141ab8>) 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 0x2141908>, <kernel.DependentProduct object at 0x2141b48>) 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 0x2141a70>, <kernel.DependentProduct object at 0x2141b90>) 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 0x2141908>, <kernel.DependentProduct object at 0x2141bd8>) 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 0x2141b90>, <kernel.DependentProduct object at 0x2141c68>) 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 0x2141bd8>, <kernel.DependentProduct object at 0x2141cf8>) 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 0x2141c68>, <kernel.DependentProduct object at 0x2141d88>) 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 0x2141cf8>, <kernel.DependentProduct object at 0x2141bd8>) 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 0x2141ea8>, <kernel.DependentProduct object at 0x2141d40>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2141ef0>, <kernel.DependentProduct object at 0x2141c68>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2141ea8>, <kernel.DependentProduct object at 0x2141ef0>) 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
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2141c68>, <kernel.DependentProduct object at 0x2141ea8>) 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 0x2141bd8>, <kernel.DependentProduct object at 0x22c91b8>) 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 0x2141ef0>, <kernel.DependentProduct object at 0x22c90e0>) 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 0x2141c68>, <kernel.DependentProduct object at 0x22c9200>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2141bd8>, <kernel.DependentProduct object at 0x22c9200>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2141ef0>, <kernel.DependentProduct object at 0x22c9200>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x2141bd8>, <kernel.DependentProduct object at 0x22c9200>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9248>, <kernel.DependentProduct object at 0x22c9050>) 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 0x22c9098>, <kernel.DependentProduct object at 0x22c93b0>) 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 0x22c9368>, <kernel.DependentProduct object at 0x22c9440>) 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 0x22c9170>, <kernel.DependentProduct object at 0x22c93f8>) 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 0x22c9200>, <kernel.DependentProduct object at 0x22c9368>) 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 0x22c9320>, <kernel.DependentProduct object at 0x22c9170>) 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 0x22c9290>, <kernel.DependentProduct object at 0x22c9200>) 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:(int->(int->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9488>, <kernel.DependentProduct object at 0x22c9320>) 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:(nat->(nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9518>, <kernel.DependentProduct object at 0x22c9290>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9440>, <kernel.DependentProduct object at 0x22c93f8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9200>, <kernel.DependentProduct object at 0x22c95f0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_complex:(complex->complex)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c95a8>, <kernel.DependentProduct object at 0x22c9638>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_int:(int->int)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9290>, <kernel.DependentProduct object at 0x22c9680>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_rat:(rat->rat)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c93f8>, <kernel.DependentProduct object at 0x22c96c8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring abs_abs_real:(real->real)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9290>, <kernel.DependentProduct object at 0x22c9758>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_8727706125548526216plex_o:((complex->Prop)->((complex->Prop)->(complex->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9710>, <kernel.DependentProduct object at 0x22c97a0>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_int_o:((int->Prop)->((int->Prop)->(int->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c97e8>, <kernel.DependentProduct object at 0x22c9878>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_nat_o:((nat->Prop)->((nat->Prop)->(nat->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9710>, <kernel.DependentProduct object at 0x22c98c0>) 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
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_711738161318947805_int_o:((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->(product_prod_int_int->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c97a0>, <kernel.DependentProduct object at 0x22c9830>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring minus_minus_real_o:((real->Prop)->((real->Prop)->(real->Prop)))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x22c9710>, <kernel.DependentProduct object at 0x22c9998>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.69 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 0x22c9830>, <kernel.DependentProduct object at 0x22c9710>) 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 0x22c99e0>, <kernel.DependentProduct object at 0x22c9998>) 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 0x22c9830>, <kernel.DependentProduct object at 0x22c99e0>) 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 0x22c9a70>, <kernel.DependentProduct object at 0x22c9998>) 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 0x22c98c0>, <kernel.DependentProduct object at 0x22c9830>) 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 0x22c9b48>, <kernel.DependentProduct object at 0x22c9a70>) 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 0x22c9710>, <kernel.DependentProduct object at 0x22c98c0>) 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 0x22c9b48>, <kernel.DependentProduct object at 0x22c9710>) 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 0x22c99e0>, <kernel.DependentProduct object at 0x22c98c0>) 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 0x22c9a28>, <kernel.DependentProduct object at 0x22c9b48>) 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 0x22c99e0>, <kernel.DependentProduct object at 0x22c9710>) 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 0x22c9b00>, <kernel.DependentProduct object at 0x22c9b48>) 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 0x22c99e0>, <kernel.DependentProduct object at 0x22c9b00>) 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 0x22c9e18>, <kernel.Constant object at 0x22c9b00>) 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 0x22c98c0>, <kernel.Constant object at 0x22c9b00>) 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 0x22c9e18>, <kernel.Constant object at 0x22c9710>) 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 0x22c9cb0>, <kernel.Constant object at 0x22c9710>) 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
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9ef0>, <kernel.Constant object at 0x22c9710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_nat:nat
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9f38>, <kernel.Constant object at 0x22c9710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_rat:rat
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9f80>, <kernel.Constant object at 0x22c9710>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring one_one_real:real
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9f38>, <kernel.DependentProduct object at 0x22c9fc8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9f80>, <kernel.DependentProduct object at 0x22cb0e0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9f80>, <kernel.DependentProduct object at 0x22cb248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9fc8>, <kernel.DependentProduct object at 0x22cb128>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9f80>, <kernel.DependentProduct object at 0x22cb098>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9fc8>, <kernel.DependentProduct object at 0x22cb2d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_num:(num->(num->num))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22c9fc8>, <kernel.DependentProduct object at 0x22cb320>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb1b8>, <kernel.DependentProduct object at 0x22cb248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring plus_plus_real:(real->(real->real))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb200>, <kernel.DependentProduct object at 0x22cb128>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb2d8>, <kernel.DependentProduct object at 0x22cb098>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_complex:(complex->complex)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb320>, <kernel.DependentProduct object at 0x22cb488>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_int:(int->int)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb248>, <kernel.DependentProduct object at 0x22cb4d0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_rat:(rat->rat)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb128>, <kernel.DependentProduct object at 0x22cb518>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring sgn_sgn_real:(real->real)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x22cb248>, <kernel.DependentProduct object at 0x22cb128>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb560>, <kernel.DependentProduct object at 0x22cb518>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_times_complex:(complex->(complex->complex))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb248>, <kernel.DependentProduct object at 0x22cb560>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb638>, <kernel.DependentProduct object at 0x22cb518>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_times_int:(int->(int->int))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb098>, <kernel.DependentProduct object at 0x22cb248>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_times_nat:(nat->(nat->nat))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb710>, <kernel.DependentProduct object at 0x22cb638>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_times_num:(num->(num->num))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb128>, <kernel.DependentProduct object at 0x22cb098>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_times_rat:(rat->(rat->rat))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb5f0>, <kernel.DependentProduct object at 0x22cb710>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring times_times_real:(real->(real->real))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb128>, <kernel.DependentProduct object at 0x22cb5f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb638>, <kernel.DependentProduct object at 0x22cb710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb5f0>, <kernel.DependentProduct object at 0x22cb128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb638>, <kernel.DependentProduct object at 0x22cb5f0>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus7117520113953359693_int_o:((product_prod_int_int->Prop)->(product_prod_int_int->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb518>, <kernel.DependentProduct object at 0x22cb128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb638>, <kernel.DependentProduct object at 0x22cb518>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb128>, <kernel.DependentProduct object at 0x22cbab8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb518>, <kernel.DependentProduct object at 0x22cbb48>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb950>, <kernel.DependentProduct object at 0x22cbbd8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus_uminus_int:(int->int)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb9e0>, <kernel.DependentProduct object at 0x22cbc20>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus_uminus_rat:(rat->rat)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbb00>, <kernel.DependentProduct object at 0x22cbc68>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus_uminus_real:(real->real)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cb9e0>, <kernel.DependentProduct object at 0x22cbcb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbc68>, <kernel.DependentProduct object at 0x22cbd40>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbcb0>, <kernel.DependentProduct object at 0x22cbdd0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbd40>, <kernel.DependentProduct object at 0x22cbcb0>) 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
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus6221592323253981072nt_int:(set_Pr958786334691620121nt_int->set_Pr958786334691620121nt_int)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbdd0>, <kernel.DependentProduct object at 0x22cbef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbcb0>, <kernel.DependentProduct object at 0x22cbf80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbef0>, <kernel.Constant object at 0x22cbea8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_z3403309356797280102nteger:code_integer
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbf38>, <kernel.Constant object at 0x22cbea8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_zero_complex:complex
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbef0>, <kernel.Constant object at 0x22cbd88>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbf38>, <kernel.Constant object at 0x22cbfc8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_zero_int:int
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbea8>, <kernel.Constant object at 0x22d1098>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_zero_nat:nat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbf38>, <kernel.Constant object at 0x22d1128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_zero_rat:rat
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22cbea8>, <kernel.Constant object at 0x22d1128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.46/0.71 Using role type
% 0.46/0.71 Declaring zero_zero_real:real
% 0.46/0.71 FOF formula (<kernel.Constant object at 0x22d11b8>, <kernel.DependentProduct object at 0x22d1170>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d1128>) 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 0x22d1290>, <kernel.DependentProduct object at 0x22d1320>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d11b8>) 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 0x22d1320>, <kernel.DependentProduct object at 0x22d1290>) 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 0x22d11b8>, <kernel.DependentProduct object at 0x22d10e0>) 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 0x22d1290>, <kernel.DependentProduct object at 0x22d1320>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d11b8>) 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 0x22d1320>, <kernel.DependentProduct object at 0x22d1290>) 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 0x22d11b8>, <kernel.DependentProduct object at 0x22d10e0>) 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 0x22d1290>, <kernel.DependentProduct object at 0x22d1320>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d11b8>) 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 0x22d1320>, <kernel.DependentProduct object at 0x22d1290>) 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 0x22d11b8>, <kernel.DependentProduct object at 0x22d10e0>) 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 0x22d1290>, <kernel.DependentProduct object at 0x22d1320>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d11b8>) 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 0x22d1320>, <kernel.DependentProduct object at 0x22d1290>) 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 0x22d11b8>, <kernel.DependentProduct object at 0x22d10e0>) 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 0x22d1290>, <kernel.DependentProduct object at 0x22d1320>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d11b8>) 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 0x22d1320>, <kernel.DependentProduct object at 0x22d1290>) 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 0x22d11b8>, <kernel.DependentProduct object at 0x22d10e0>) 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 0x22d1290>, <kernel.DependentProduct object at 0x22d1320>) 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 0x22d10e0>, <kernel.DependentProduct object at 0x22d11b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x22d1320>, <kernel.DependentProduct object at 0x22d1290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Complex__Ocomplex
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8255218700646806128omplex:((set_nat->complex)->(set_set_nat->complex))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x22d11b8>, <kernel.DependentProduct object at 0x22d1320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x22d11b8>, <kernel.DependentProduct object at 0x22d5050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x22d11b8>, <kernel.DependentProduct object at 0x22d5170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring groups8682486955453173170nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d1128>, <kernel.DependentProduct object at 0x22d51b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5248>, <kernel.DependentProduct object at 0x22d5290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5320>, <kernel.DependentProduct object at 0x22d5200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d52d8>, <kernel.DependentProduct object at 0x22d5248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d53b0>, <kernel.DependentProduct object at 0x22d5440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d52d8>, <kernel.DependentProduct object at 0x22d5320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups3827104343326376752nteger:((int->code_integer)->(set_int->code_integer))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d53b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5320>, <kernel.DependentProduct object at 0x22d52d8>) 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 0x22d53b0>, <kernel.DependentProduct object at 0x22d5440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d52d8>, <kernel.DependentProduct object at 0x22d5320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d53b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5320>, <kernel.DependentProduct object at 0x22d52d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d53b0>, <kernel.DependentProduct object at 0x22d5440>) 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 0x22d52d8>, <kernel.DependentProduct object at 0x22d5320>) 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 0x22d5440>, <kernel.DependentProduct object at 0x22d53b0>) 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 0x22d5320>, <kernel.DependentProduct object at 0x22d52d8>) 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 0x22d53b0>, <kernel.DependentProduct object at 0x22d5440>) 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 0x22d52d8>, <kernel.DependentProduct object at 0x22d5320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups6225526099057966256nteger:((real->code_integer)->(set_real->code_integer))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d53b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5320>, <kernel.DependentProduct object at 0x22d52d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d53b0>, <kernel.DependentProduct object at 0x22d5440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d52d8>, <kernel.DependentProduct object at 0x22d5320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d53b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d5320>, <kernel.DependentProduct object at 0x22d52d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring groups4246057289670975065at_int:((set_nat->int)->(set_set_nat->int))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22d53b0>, <kernel.DependentProduct object at 0x22d5320>) 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 0x22d5368>, <kernel.DependentProduct object at 0x22d70e0>) 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 0x22d50e0>, <kernel.DependentProduct object at 0x22d7170>) 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 0x22d53b0>, <kernel.DependentProduct object at 0x22d7128>) 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)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d70e0>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d50e0>, <kernel.DependentProduct object at 0x22d7128>) of role type named sy_c_If_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_int:(Prop->(int->(int->int)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d7128>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d5440>, <kernel.DependentProduct object at 0x22d7128>) of role type named sy_c_If_001t__Nat__Onat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7368>, <kernel.DependentProduct object at 0x22d7128>) of role type named sy_c_If_001t__Num__Onum
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_num:(Prop->(num->(num->num)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d73b0>, <kernel.DependentProduct object at 0x22d7128>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d73f8>, <kernel.DependentProduct object at 0x22d7128>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d73b0>, <kernel.DependentProduct object at 0x22d71b8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7128>, <kernel.DependentProduct object at 0x22d7098>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d71b8>, <kernel.DependentProduct object at 0x22d7320>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7098>, <kernel.DependentProduct object at 0x22d73f8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d75a8>, <kernel.DependentProduct object at 0x22d73f8>) of role type named sy_c_If_001t__Rat__Orat
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7638>, <kernel.DependentProduct object at 0x22d73f8>) of role type named sy_c_If_001t__Real__Oreal
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_real:(Prop->(real->(real->real)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7710>, <kernel.DependentProduct object at 0x22d73f8>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7758>, <kernel.DependentProduct object at 0x22d73f8>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d77a0>, <kernel.DependentProduct object at 0x22d73f8>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d77e8>, <kernel.DependentProduct object at 0x22d7830>) 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 0x22d7488>, <kernel.DependentProduct object at 0x22d7098>) 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 0x22d72d8>, <kernel.DependentProduct object at 0x22d7488>) 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 0x22d7638>, <kernel.DependentProduct object at 0x22d7098>) 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 0x22d7758>, <kernel.DependentProduct object at 0x22d7878>) 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 0x22d7098>, <kernel.Constant object at 0x22d7878>) 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 0x22d7758>, <kernel.DependentProduct object at 0x22d7950>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7878>, <kernel.DependentProduct object at 0x22d79e0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7638>, <kernel.DependentProduct object at 0x22d7a70>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring ring_1_of_int_int:(int->int)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7908>, <kernel.DependentProduct object at 0x22d7ab8>) 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 0x22d7998>, <kernel.DependentProduct object at 0x22d7b00>) 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 0x22d7908>, <kernel.DependentProduct object at 0x22d7b48>) 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 0x22d7b00>, <kernel.DependentProduct object at 0x22d7c20>) 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 0x22d7b48>, <kernel.DependentProduct object at 0x22d7638>) 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 0x22d7b90>, <kernel.DependentProduct object at 0x22d7c68>) 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 0x22d7830>, <kernel.DependentProduct object at 0x22d7b90>) 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 0x22d7d88>, <kernel.DependentProduct object at 0x22d7b48>) of role type named sy_c_List_Oappend_001t__VEBT____Definitions__OVEBT
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring append_VEBT_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x22d7638>, <kernel.DependentProduct object at 0x22d7dd0>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring distinct_int:(list_int->Prop)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7d88>, <kernel.DependentProduct object at 0x22d7c68>) of role type named sy_c_List_Odrop_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring drop_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7b90>, <kernel.DependentProduct object at 0x22d7b48>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring cons_int:(int->(list_int->list_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7e60>, <kernel.DependentProduct object at 0x22d7d88>) of role type named sy_c_List_Olist_OCons_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring cons_VEBT_VEBT:(vEBT_VEBT->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7dd0>, <kernel.Constant object at 0x22d7d88>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nil_int:list_int
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7ef0>, <kernel.Constant object at 0x22d7d88>) of role type named sy_c_List_Olist_ONil_001t__VEBT____Definitions__OVEBT
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nil_VEBT_VEBT:list_VEBT_VEBT
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7b00>, <kernel.DependentProduct object at 0x22d7f80>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_o2:(list_o->set_o)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7c68>, <kernel.DependentProduct object at 0x22d7fc8>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_complex2:(list_complex->set_complex)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7f38>, <kernel.DependentProduct object at 0x22da050>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_int2:(list_int->set_int)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7d88>, <kernel.DependentProduct object at 0x22da098>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_nat2:(list_nat->set_nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7fc8>, <kernel.DependentProduct object at 0x22da0e0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_real2:(list_real->set_real)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7f80>, <kernel.DependentProduct object at 0x22da128>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22d7f38>, <kernel.DependentProduct object at 0x22da170>) 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 0x22d7fc8>, <kernel.DependentProduct object at 0x22da170>) 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 0x22d7c68>, <kernel.DependentProduct object at 0x22da0e0>) 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 0x22d7f80>, <kernel.DependentProduct object at 0x22da200>) 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 0x22d7c68>, <kernel.DependentProduct object at 0x22da248>) 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 0x22d7c68>, <kernel.DependentProduct object at 0x22da050>) 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 0x22da3b0>, <kernel.DependentProduct object at 0x22da368>) 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 0x22da3f8>, <kernel.DependentProduct object at 0x22da098>) 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 0x22da3b0>, <kernel.DependentProduct object at 0x22da3f8>) 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 0x22da488>, <kernel.DependentProduct object at 0x22da098>) 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 0x22da440>, <kernel.DependentProduct object at 0x22da3b0>) 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 0x22da4d0>, <kernel.DependentProduct object at 0x22da488>) 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 0x22da0e0>, <kernel.DependentProduct object at 0x22da4d0>) 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 0x22da1b8>, <kernel.DependentProduct object at 0x22da488>) 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 0x22da3f8>, <kernel.DependentProduct object at 0x22da0e0>) 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 0x22da3b0>, <kernel.DependentProduct object at 0x22da440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22da1b8>, <kernel.DependentProduct object at 0x22da3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22da440>, <kernel.DependentProduct object at 0x22da1b8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.75 Using role type
% 0.54/0.75 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.54/0.75 FOF formula (<kernel.Constant object at 0x22da3b0>, <kernel.DependentProduct object at 0x22da440>) 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 0x22da1b8>, <kernel.DependentProduct object at 0x22da3b0>) 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 0x22da440>, <kernel.DependentProduct object at 0x22da1b8>) 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 0x22da3b0>, <kernel.DependentProduct object at 0x22da440>) 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))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22da1b8>, <kernel.DependentProduct object at 0x22da3b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22da440>, <kernel.DependentProduct object at 0x22da1b8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22da3b0>, <kernel.DependentProduct object at 0x22da440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22da5a8>, <kernel.DependentProduct object at 0x22da3b0>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nth_real:(list_real->(nat->real))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dab90>, <kernel.DependentProduct object at 0x22da1b8>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dac20>, <kernel.DependentProduct object at 0x22da440>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dab00>, <kernel.DependentProduct object at 0x22dac20>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dacb0>, <kernel.DependentProduct object at 0x22dab90>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dacf8>, <kernel.DependentProduct object at 0x22da440>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dacb0>, <kernel.DependentProduct object at 0x22dacf8>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22da998>, <kernel.DependentProduct object at 0x22da440>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001_Eo
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_int_o:(list_int->(list_o->list_P5087981734274514673_int_o))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dadd0>, <kernel.DependentProduct object at 0x22dacb0>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22da998>, <kernel.DependentProduct object at 0x22dadd0>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring produc662631939642741121T_VEBT:(list_int->(list_VEBT_VEBT->list_P7524865323317820941T_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dae18>, <kernel.DependentProduct object at 0x22dacb0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22daef0>, <kernel.DependentProduct object at 0x22da998>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Num__Onum
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_nat_num:(list_nat->(list_num->list_P1726324292696863441at_num))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dae60>, <kernel.DependentProduct object at 0x22dae18>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22daf38>, <kernel.DependentProduct object at 0x22daef0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dae60>, <kernel.DependentProduct object at 0x22daf38>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22daef0>, <kernel.DependentProduct object at 0x22dd050>) 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 0x22daf80>, <kernel.DependentProduct object at 0x22dd0e0>) 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 0x22dafc8>, <kernel.DependentProduct object at 0x22dd170>) 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 0x22daef0>, <kernel.DependentProduct object at 0x22dd200>) 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 0x22daf80>, <kernel.DependentProduct object at 0x22dd248>) 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 0x22daef0>, <kernel.DependentProduct object at 0x22dd128>) 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 0x22daf80>, <kernel.DependentProduct object at 0x22dd170>) 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 0x22daf80>, <kernel.DependentProduct object at 0x22dd290>) 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 0x22dd098>, <kernel.DependentProduct object at 0x22dd200>) of role type named sy_c_List_Otake_001t__VEBT____Definitions__OVEBT
% 0.54/0.76 Using role type
% 0.54/0.76 Declaring take_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.54/0.76 FOF formula (<kernel.Constant object at 0x22dd1b8>, <kernel.DependentProduct object at 0x22dd0e0>) 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 0x22dd248>, <kernel.DependentProduct object at 0x22dd098>) 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 0x22dd170>, <kernel.DependentProduct object at 0x22dd1b8>) 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 0x22dd440>, <kernel.DependentProduct object at 0x22dd128>) 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 0x22dd0e0>, <kernel.DependentProduct object at 0x22dd518>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd2d8>, <kernel.DependentProduct object at 0x22dd5a8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd170>, <kernel.DependentProduct object at 0x22dd560>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd488>, <kernel.DependentProduct object at 0x22dd5f0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd638>, <kernel.DependentProduct object at 0x22dd518>) of role type named sy_c_Nat_Onat_Opred
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring pred:(nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd488>, <kernel.DependentProduct object at 0x22dd680>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd518>, <kernel.DependentProduct object at 0x22dd440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd680>, <kernel.DependentProduct object at 0x22dd710>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd440>, <kernel.DependentProduct object at 0x22dd7a0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd710>, <kernel.DependentProduct object at 0x22dd830>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd7a0>, <kernel.DependentProduct object at 0x22dd8c0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd2d8>, <kernel.DependentProduct object at 0x22dd950>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_list_o:(list_o->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd7a0>, <kernel.DependentProduct object at 0x22dd998>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd950>, <kernel.DependentProduct object at 0x22dda28>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd7e8>, <kernel.DependentProduct object at 0x22ddab8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_list_int:(list_int->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd830>, <kernel.DependentProduct object at 0x22ddb00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_list_nat:(list_nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd9e0>, <kernel.DependentProduct object at 0x22ddb48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_list_num:(list_num->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dd830>, <kernel.DependentProduct object at 0x22ddb90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddb48>, <kernel.DependentProduct object at 0x22ddc20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddb90>, <kernel.DependentProduct object at 0x22ddcb0>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s4313452262239582901T_VEBT:(list_P7495141550334521929T_VEBT->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddc20>, <kernel.DependentProduct object at 0x22ddd40>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s4246224855604898693_int_o:(list_P5087981734274514673_int_o->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddcb0>, <kernel.DependentProduct object at 0x22dddd0>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s5157815400016825771nt_int:(list_P5707943133018811711nt_int->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddd40>, <kernel.DependentProduct object at 0x22dde60>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s6639371672096860321T_VEBT:(list_P7524865323317820941T_VEBT->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dddd0>, <kernel.DependentProduct object at 0x22ddef0>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s9168528473962070013VEBT_o:(list_P3126845725202233233VEBT_o->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dde60>, <kernel.DependentProduct object at 0x22ddf80>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s3661962791536183091BT_int:(list_P4547456442757143711BT_int->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddef0>, <kernel.DependentProduct object at 0x26e7050>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s7466405169056248089T_VEBT:(list_P7413028617227757229T_VEBT->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddf38>, <kernel.DependentProduct object at 0x26e70e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_list_real:(list_real->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddef0>, <kernel.DependentProduct object at 0x26e7128>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddef0>, <kernel.DependentProduct object at 0x26e71b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22dde60>, <kernel.DependentProduct object at 0x26e7248>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_num:(num->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddef0>, <kernel.DependentProduct object at 0x26e7290>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_option_nat:(option_nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x22ddf80>, <kernel.DependentProduct object at 0x26e72d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_option_num:(option_num->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7050>, <kernel.DependentProduct object at 0x26e7320>) 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
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7290>, <kernel.DependentProduct object at 0x26e73b0>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7320>, <kernel.DependentProduct object at 0x26e72d8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7290>, <kernel.DependentProduct object at 0x26e7320>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7200>, <kernel.DependentProduct object at 0x26e7518>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7368>, <kernel.DependentProduct object at 0x26e7560>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring nat_set_decode:(nat->set_nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e73f8>, <kernel.DependentProduct object at 0x26e75a8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring nat_set_encode:(set_nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e71b8>, <kernel.DependentProduct object at 0x26e75f0>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring nat_triangle:(nat->nat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7518>, <kernel.DependentProduct object at 0x26e72d8>) of role type named sy_c_NthRoot_Oroot
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring root:(nat->(real->real))
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7368>, <kernel.DependentProduct object at 0x26e7638>) of role type named sy_c_NthRoot_Osqrt
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring sqrt:(real->real)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7560>, <kernel.DependentProduct object at 0x26e75f0>) of role type named sy_c_Num_OBitM
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring bitM:(num->num)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e71b8>, <kernel.DependentProduct object at 0x26e76c8>) of role type named sy_c_Num_Oinc
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring inc:(num->num)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7560>, <kernel.DependentProduct object at 0x26e7710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e76c8>, <kernel.DependentProduct object at 0x26e77a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e72d8>, <kernel.DependentProduct object at 0x26e7830>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_numeral_dbl_int:(int->int)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7368>, <kernel.DependentProduct object at 0x26e7878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7758>, <kernel.DependentProduct object at 0x26e78c0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.54/0.77 Using role type
% 0.54/0.77 Declaring neg_numeral_dbl_real:(real->real)
% 0.54/0.77 FOF formula (<kernel.Constant object at 0x26e7368>, <kernel.DependentProduct object at 0x26e7908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e78c0>, <kernel.DependentProduct object at 0x26e7998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7908>, <kernel.DependentProduct object at 0x26e7a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7998>, <kernel.DependentProduct object at 0x26e7ab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7a28>, <kernel.DependentProduct object at 0x26e7b48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7ab8>, <kernel.DependentProduct object at 0x26e7bd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7b48>, <kernel.DependentProduct object at 0x26e7c68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7bd8>, <kernel.DependentProduct object at 0x26e7cf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7c68>, <kernel.DependentProduct object at 0x26e7d88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7cf8>, <kernel.DependentProduct object at 0x26e7e18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e77a0>, <kernel.DependentProduct object at 0x26e7d88>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7ea8>, <kernel.DependentProduct object at 0x26e7ef0>) of role type named sy_c_Num_Onum_OBit0
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring bit0:(num->num)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7dd0>, <kernel.DependentProduct object at 0x26e7d40>) of role type named sy_c_Num_Onum_OBit1
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring bit1:(num->num)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7e18>, <kernel.Constant object at 0x26e7d40>) of role type named sy_c_Num_Onum_OOne
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring one:num
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7ef0>, <kernel.DependentProduct object at 0x26e77a0>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7d88>, <kernel.DependentProduct object at 0x26cc098>) of role type named sy_c_Num_Onum_Osize__num
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring size_num:(num->nat)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7cf8>, <kernel.DependentProduct object at 0x26cc0e0>) of role type named sy_c_Num_Onum__of__nat
% 0.54/0.78 Using role type
% 0.54/0.78 Declaring num_of_nat:(nat->num)
% 0.54/0.78 FOF formula (<kernel.Constant object at 0x26e7d88>, <kernel.DependentProduct object at 0x26cc128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26e7fc8>, <kernel.DependentProduct object at 0x26cc050>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numera6690914467698888265omplex:(num->complex)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26e7fc8>, <kernel.DependentProduct object at 0x26cc200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26e7ef0>, <kernel.DependentProduct object at 0x26cc290>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numeral_numeral_int:(num->int)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26e7fc8>, <kernel.DependentProduct object at 0x26cc2d8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numeral_numeral_nat:(num->nat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26e77a0>, <kernel.DependentProduct object at 0x26cc320>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numeral_numeral_rat:(num->rat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26e77a0>, <kernel.DependentProduct object at 0x26cc368>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring numeral_numeral_real:(num->real)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc0e0>, <kernel.DependentProduct object at 0x26cc050>) of role type named sy_c_Num_Opow
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring pow:(num->(num->num))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc3b0>, <kernel.DependentProduct object at 0x26cc3f8>) of role type named sy_c_Num_Opred__numeral
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring pred_numeral:(num->nat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc320>, <kernel.Constant object at 0x26cc3f8>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring none_nat:option_nat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc050>, <kernel.Constant object at 0x26cc3f8>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring none_num:option_num
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc320>, <kernel.Constant object at 0x26cc440>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc2d8>, <kernel.DependentProduct object at 0x26cc560>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring some_nat:(nat->option_nat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc200>, <kernel.DependentProduct object at 0x26cc5a8>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring some_num:(num->option_num)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc2d8>, <kernel.DependentProduct object at 0x26cc200>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc5a8>, <kernel.DependentProduct object at 0x26cc680>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc6c8>, <kernel.DependentProduct object at 0x26cc7a0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.61/0.78 Using role type
% 0.61/0.78 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.61/0.78 FOF formula (<kernel.Constant object at 0x26cc758>, <kernel.DependentProduct object at 0x26cc7e8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc6c8>, <kernel.DependentProduct object at 0x26cc2d8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc878>, <kernel.DependentProduct object at 0x26cc5f0>) of role type named sy_c_Option_Ooption_Omap__option_001t__Num__Onum_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring map_option_num_num:((num->num)->(option_num->option_num))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc7e8>, <kernel.DependentProduct object at 0x26cc830>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc6c8>, <kernel.DependentProduct object at 0x26cc8c0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc7e8>, <kernel.DependentProduct object at 0x26cc200>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc878>, <kernel.DependentProduct object at 0x26cc830>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring the_nat:(option_nat->nat)
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc3f8>, <kernel.DependentProduct object at 0x26cc9e0>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring the_num:(option_num->num)
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc878>, <kernel.DependentProduct object at 0x26cca28>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc830>, <kernel.Constant object at 0x26cca28>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_nat:nat
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc7e8>, <kernel.Constant object at 0x26cca28>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_complex:set_complex
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cc3f8>, <kernel.Constant object at 0x26cca28>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_int:set_int
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cca70>, <kernel.Constant object at 0x26cca28>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_nat:set_nat
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccab8>, <kernel.Constant object at 0x26cca28>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_num:set_num
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cca70>, <kernel.Constant object at 0x26ccb00>) 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
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bo1796632182523588997nt_int:set_Pr958786334691620121nt_int
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccb90>, <kernel.Constant object at 0x26ccb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_rat:set_rat
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccbd8>, <kernel.Constant object at 0x26ccb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_real:set_real
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccc20>, <kernel.Constant object at 0x26ccb00>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring bot_bot_set_set_nat:set_set_nat
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccc68>, <kernel.DependentProduct object at 0x26ccdd0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccb00>, <kernel.DependentProduct object at 0x26cce18>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccdd0>, <kernel.DependentProduct object at 0x26cce60>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce18>, <kernel.DependentProduct object at 0x26ccea8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce60>, <kernel.DependentProduct object at 0x26ccef0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce18>, <kernel.DependentProduct object at 0x26cce60>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccef0>, <kernel.DependentProduct object at 0x26cce18>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccf38>, <kernel.DependentProduct object at 0x26cce60>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_int:(int->(int->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccfc8>, <kernel.DependentProduct object at 0x26d0098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26ccea8>, <kernel.DependentProduct object at 0x26d00e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_num:(num->(num->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce18>, <kernel.DependentProduct object at 0x26d0128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce60>, <kernel.DependentProduct object at 0x26d0170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_real:(real->(real->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce60>, <kernel.DependentProduct object at 0x26d01b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce18>, <kernel.DependentProduct object at 0x26d0050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.61/0.79 FOF formula (<kernel.Constant object at 0x26cce60>, <kernel.DependentProduct object at 0x26d0170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.79 Using role type
% 0.61/0.79 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26cce18>, <kernel.DependentProduct object at 0x26d01b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26cce18>, <kernel.DependentProduct object at 0x26d0290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0128>, <kernel.DependentProduct object at 0x26d00e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0050>, <kernel.DependentProduct object at 0x26d0200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0170>, <kernel.DependentProduct object at 0x26d0128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0050>, <kernel.DependentProduct object at 0x26d0488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le4573692005234683329plex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d00e0>, <kernel.DependentProduct object at 0x26d0518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0488>, <kernel.DependentProduct object at 0x26d0560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0518>, <kernel.DependentProduct object at 0x26d05a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Real__Oreal_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0488>, <kernel.DependentProduct object at 0x26d05f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le3964352015994296041_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d05a8>, <kernel.DependentProduct object at 0x26d0488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d05f0>, <kernel.DependentProduct object at 0x26d05a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0488>, <kernel.DependentProduct object at 0x26d05f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0710>, <kernel.DependentProduct object at 0x26d05a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d07a0>, <kernel.DependentProduct object at 0x26d0488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d00e0>, <kernel.DependentProduct object at 0x26d0710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0680>, <kernel.DependentProduct object at 0x26d07a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d05f0>, <kernel.DependentProduct object at 0x26d00e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d05a8>, <kernel.DependentProduct object at 0x26d0680>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d05f0>, <kernel.DependentProduct object at 0x26d05a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0680>, <kernel.DependentProduct object at 0x26d05f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d09e0>, <kernel.DependentProduct object at 0x26d05a8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0a70>, <kernel.DependentProduct object at 0x26d0680>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0488>, <kernel.DependentProduct object at 0x26d09e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0a70>, <kernel.DependentProduct object at 0x26d05a8>) 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
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le2843351958646193337nt_int:(set_Pr958786334691620121nt_int->(set_Pr958786334691620121nt_int->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0b90>, <kernel.DependentProduct object at 0x26d09e0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0bd8>, <kernel.DependentProduct object at 0x26d0a70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0b90>, <kernel.DependentProduct object at 0x26d0bd8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0a70>, <kernel.DependentProduct object at 0x26d0b90>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0cf8>, <kernel.DependentProduct object at 0x26d0bd8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.61/0.80 Using role type
% 0.61/0.80 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.61/0.80 FOF formula (<kernel.Constant object at 0x26d0dd0>, <kernel.DependentProduct object at 0x26d0a70>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_int:(int->(int->int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0e18>, <kernel.DependentProduct object at 0x26d0cf8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_nat:(nat->(nat->nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d05f0>, <kernel.DependentProduct object at 0x26d0dd0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_num:(num->(num->num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0680>, <kernel.DependentProduct object at 0x26d0e18>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_rat:(rat->(rat->rat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0d40>, <kernel.DependentProduct object at 0x26d05f0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_real:(real->(real->real))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0bd8>, <kernel.DependentProduct object at 0x26d0680>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0a70>, <kernel.DependentProduct object at 0x26d0dd0>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0bd8>, <kernel.DependentProduct object at 0x26d0d40>) of role type named sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_9091379641038594480t_real:((nat->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0e18>, <kernel.DependentProduct object at 0x26d3050>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0cf8>, <kernel.DependentProduct object at 0x26d3050>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0dd0>, <kernel.DependentProduct object at 0x26d3128>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_mono_real_real:((real->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0dd0>, <kernel.DependentProduct object at 0x26d3128>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0a70>, <kernel.DependentProduct object at 0x26d3128>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0dd0>, <kernel.Constant object at 0x26d30e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_o:set_o
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d0cf8>, <kernel.Constant object at 0x26d30e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_nat:set_nat
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3248>, <kernel.Constant object at 0x26d3128>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3290>, <kernel.Constant object at 0x26d3128>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_real:set_real
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3320>, <kernel.Constant object at 0x26d3128>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring top_top_set_char:set_char
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3290>, <kernel.DependentProduct object at 0x26d3320>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3488>, <kernel.DependentProduct object at 0x26d3128>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_complex:(complex->(nat->complex))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3368>, <kernel.DependentProduct object at 0x26d3290>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_int:(int->(nat->int))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3560>, <kernel.DependentProduct object at 0x26d3488>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_nat:(nat->(nat->nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d33b0>, <kernel.DependentProduct object at 0x26d3368>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_rat:(rat->(nat->rat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d33f8>, <kernel.DependentProduct object at 0x26d3560>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring power_power_real:(real->(nat->real))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d33b0>, <kernel.DependentProduct object at 0x26d3488>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3560>, <kernel.DependentProduct object at 0x26d3368>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3488>, <kernel.DependentProduct object at 0x26d3290>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3368>, <kernel.DependentProduct object at 0x26d37a0>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d3290>, <kernel.DependentProduct object at 0x26d3830>) 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
% 0.61/0.81 Using role type
% 0.61/0.81 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.61/0.81 FOF formula (<kernel.Constant object at 0x26d37a0>, <kernel.DependentProduct object at 0x26d38c0>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3830>, <kernel.DependentProduct object at 0x26d3908>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d38c0>, <kernel.DependentProduct object at 0x26d39e0>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3ab8>, <kernel.DependentProduct object at 0x26d3560>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3a28>, <kernel.DependentProduct object at 0x26d3560>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3ab8>, <kernel.DependentProduct object at 0x26d3998>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3560>, <kernel.DependentProduct object at 0x26d3c68>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3998>, <kernel.DependentProduct object at 0x26d3560>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cf8>, <kernel.DependentProduct object at 0x26d3c68>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cb0>, <kernel.DependentProduct object at 0x26d3998>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3d88>, <kernel.DependentProduct object at 0x26d3cf8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cb0>, <kernel.DependentProduct object at 0x26d3d88>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cf8>, <kernel.DependentProduct object at 0x26d3cb0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3ef0>, <kernel.DependentProduct object at 0x26d3d88>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cf8>, <kernel.DependentProduct object at 0x26d3ef0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3d88>, <kernel.DependentProduct object at 0x26d3cf8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3ef0>, <kernel.DependentProduct object at 0x26d6098>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cf8>, <kernel.DependentProduct object at 0x26d61b8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3cf8>, <kernel.DependentProduct object at 0x26d6050>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d3ab8>, <kernel.DependentProduct object at 0x26d6290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6248>, <kernel.DependentProduct object at 0x26d6320>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6368>, <kernel.DependentProduct object at 0x26d6170>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6290>, <kernel.DependentProduct object at 0x26d6440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc7828578312038201481er_o_o:((code_integer->(Prop->Prop))->(produc6271795597528267376eger_o->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d63f8>, <kernel.DependentProduct object at 0x26d6440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1043322548047392435omplex:((code_integer->(Prop->set_complex))->(produc6271795597528267376eger_o->set_complex))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6290>, <kernel.DependentProduct object at 0x26d62d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1253318751659547953et_int:((code_integer->(Prop->set_int))->(produc6271795597528267376eger_o->set_int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6440>, <kernel.DependentProduct object at 0x26d6170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc5431169771168744661et_nat:((code_integer->(Prop->set_nat))->(produc6271795597528267376eger_o->set_nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d62d8>, <kernel.DependentProduct object at 0x26d6320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc242741666403216561t_real:((code_integer->(Prop->set_real))->(produc6271795597528267376eger_o->set_real))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6170>, <kernel.DependentProduct object at 0x26d6368>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001_Eo_001t__String__Ochar
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc4188289175737317920o_char:((code_integer->(Prop->char))->(produc6271795597528267376eger_o->char))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6320>, <kernel.DependentProduct object at 0x26d63f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6368>, <kernel.DependentProduct object at 0x26d6290>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d63f8>, <kernel.DependentProduct object at 0x26d67a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6290>, <kernel.DependentProduct object at 0x26d6440>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d67a0>, <kernel.DependentProduct object at 0x26d6710>) 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
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6440>, <kernel.DependentProduct object at 0x26d62d8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.61/0.82 FOF formula (<kernel.Constant object at 0x26d6710>, <kernel.DependentProduct object at 0x26d6a28>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.61/0.82 Using role type
% 0.61/0.82 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d62d8>, <kernel.DependentProduct object at 0x26d6b90>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6a28>, <kernel.DependentProduct object at 0x26d6b48>) 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
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6b90>, <kernel.DependentProduct object at 0x26d6cf8>) 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
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6b48>, <kernel.DependentProduct object at 0x26d6d88>) 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
% 0.61/0.83 Using role type
% 0.61/0.83 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)))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6cf8>, <kernel.DependentProduct object at 0x26d6998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6d88>, <kernel.DependentProduct object at 0x26d67e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc1917071388513777916omplex:((nat->(nat->complex))->(product_prod_nat_nat->complex))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6998>, <kernel.DependentProduct object at 0x26d6e18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc6840382203811409530at_int:((nat->(nat->int))->(product_prod_nat_nat->int))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d67e8>, <kernel.DependentProduct object at 0x26d6ea8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6e18>, <kernel.DependentProduct object at 0x26d6c20>) 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
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6ea8>, <kernel.DependentProduct object at 0x26d6e18>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc6207742614233964070at_rat:((nat->(nat->rat))->(product_prod_nat_nat->rat))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6ea8>, <kernel.DependentProduct object at 0x26d8128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc1703576794950452218t_real:((nat->(nat->real))->(product_prod_nat_nat->real))
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x26d6ea8>, <kernel.DependentProduct object at 0x26d8170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring produc4927758841916487424_num_o:((nat->(num->Prop))->(product_prod_nat_num->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d67e8>, <kernel.DependentProduct object at 0x26d81b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8128>, <kernel.DependentProduct object at 0x26d8200>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc4130284055270567454et_nat:((nat->(num->set_nat))->(product_prod_nat_num->set_nat))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d83b0>, <kernel.DependentProduct object at 0x26d8320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc1435849484188172666t_real:((nat->(num->set_real))->(product_prod_nat_num->set_real))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d81b8>, <kernel.DependentProduct object at 0x26d8128>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc5703948589228662326_num_o:((num->(num->Prop))->(product_prod_num_num->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8440>, <kernel.DependentProduct object at 0x26d84d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc2866383454006189126omplex:((num->(num->set_complex))->(product_prod_num_num->set_complex))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d81b8>, <kernel.DependentProduct object at 0x26d8488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc6406642877701697732et_int:((num->(num->set_int))->(product_prod_num_num->set_int))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d84d0>, <kernel.DependentProduct object at 0x26d8518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc1361121860356118632et_nat:((num->(num->set_nat))->(product_prod_num_num->set_nat))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8488>, <kernel.DependentProduct object at 0x26d85a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001t__Set__Oset_It__Real__Oreal_J
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc8296048397933160132t_real:((num->(num->set_real))->(product_prod_num_num->set_real))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8518>, <kernel.DependentProduct object at 0x26d8320>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d85a8>, <kernel.DependentProduct object at 0x26d87a0>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring produc8508995932063986495nteger:(produc8923325533196201883nteger->code_integer)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d86c8>, <kernel.DependentProduct object at 0x26d8830>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8638>, <kernel.DependentProduct object at 0x26d8878>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8680>, <kernel.DependentProduct object at 0x26d88c0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d87a0>, <kernel.DependentProduct object at 0x26d8908>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8830>, <kernel.DependentProduct object at 0x26d8950>) of role type named sy_c_Rat_OFrct
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring frct:(product_prod_int_int->rat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8878>, <kernel.DependentProduct object at 0x26d8998>) of role type named sy_c_Rat_Onormalize
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d88c0>, <kernel.DependentProduct object at 0x26d89e0>) of role type named sy_c_Rat_Oof__int
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring of_int:(int->rat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8908>, <kernel.DependentProduct object at 0x26d8a28>) of role type named sy_c_Rat_Oquotient__of
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring quotient_of:(rat->product_prod_int_int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d88c0>, <kernel.Constant object at 0x26d8998>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V2521375963428798218omplex:set_complex
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8a28>, <kernel.DependentProduct object at 0x26d8ab8>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8998>, <kernel.DependentProduct object at 0x26d8a28>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8ab8>, <kernel.DependentProduct object at 0x26d8998>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8a28>, <kernel.DependentProduct object at 0x26d8b90>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8998>, <kernel.DependentProduct object at 0x26d8d40>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V7735802525324610683m_real:(real->real)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8b90>, <kernel.DependentProduct object at 0x26d8dd0>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8d40>, <kernel.DependentProduct object at 0x26d8b90>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8dd0>, <kernel.DependentProduct object at 0x26d8d40>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8b90>, <kernel.DependentProduct object at 0x26d8dd0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8d40>, <kernel.DependentProduct object at 0x26d8b90>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8ef0>, <kernel.DependentProduct object at 0x26d8f80>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring divide_divide_int:(int->(int->int))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8b90>, <kernel.DependentProduct object at 0x26d8e60>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8d40>, <kernel.DependentProduct object at 0x26ea1b8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8b90>, <kernel.DependentProduct object at 0x26ea200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring divide_divide_real:(real->(real->real))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8e60>, <kernel.DependentProduct object at 0x26ea248>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8b90>, <kernel.DependentProduct object at 0x26ea0e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8e60>, <kernel.DependentProduct object at 0x26ea200>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26d8e60>, <kernel.DependentProduct object at 0x26ea1b8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea128>, <kernel.DependentProduct object at 0x26ea170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea248>, <kernel.DependentProduct object at 0x26ea050>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea128>, <kernel.DependentProduct object at 0x26ea248>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea098>, <kernel.DependentProduct object at 0x26ea050>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring modulo_modulo_int:(int->(int->int))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea0e0>, <kernel.DependentProduct object at 0x26ea128>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea098>, <kernel.DependentProduct object at 0x26ea518>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea128>, <kernel.DependentProduct object at 0x26ea200>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea518>, <kernel.DependentProduct object at 0x26ea5a8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea200>, <kernel.DependentProduct object at 0x26ea638>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.61/0.84 Using role type
% 0.61/0.84 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.61/0.84 FOF formula (<kernel.Constant object at 0x26ea5a8>, <kernel.DependentProduct object at 0x26ea6c8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea638>, <kernel.DependentProduct object at 0x26ea758>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea5a8>, <kernel.DependentProduct object at 0x26ea6c8>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring suminf_complex:((nat->complex)->complex)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea290>, <kernel.DependentProduct object at 0x26ea5a8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring suminf_int:((nat->int)->int)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea7a0>, <kernel.DependentProduct object at 0x26ea6c8>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring suminf_nat:((nat->nat)->nat)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea878>, <kernel.DependentProduct object at 0x26ea638>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring suminf_real:((nat->real)->real)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ea6c8>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring summable_complex:((nat->complex)->Prop)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea8c0>, <kernel.DependentProduct object at 0x26ea290>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring summable_int:((nat->int)->Prop)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea7e8>, <kernel.DependentProduct object at 0x26ea878>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring summable_nat:((nat->nat)->Prop)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea950>, <kernel.DependentProduct object at 0x26ea908>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring summable_real:((nat->real)->Prop)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea998>, <kernel.DependentProduct object at 0x26ea9e0>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea200>, <kernel.DependentProduct object at 0x26eaa70>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring sums_int:((nat->int)->(int->Prop))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ea878>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26eaa28>, <kernel.DependentProduct object at 0x26eab00>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring sums_real:((nat->real)->(real->Prop))
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea878>, <kernel.DependentProduct object at 0x26eabd8>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26eab00>, <kernel.DependentProduct object at 0x26ea200>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26eaa70>, <kernel.DependentProduct object at 0x26eac68>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring collect_int:((int->Prop)->set_int)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26ea950>, <kernel.DependentProduct object at 0x26eab00>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.61/0.85 Using role type
% 0.61/0.85 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.61/0.85 FOF formula (<kernel.Constant object at 0x26eac68>, <kernel.DependentProduct object at 0x26eacb0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea9e0>, <kernel.DependentProduct object at 0x26eacf8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ead40>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea9e0>, <kernel.DependentProduct object at 0x26ead88>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea998>, <kernel.DependentProduct object at 0x26eae60>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea878>, <kernel.DependentProduct object at 0x26eaea8>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_num:((num->Prop)->set_num)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ead40>, <kernel.DependentProduct object at 0x26ea998>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea878>, <kernel.DependentProduct object at 0x26ead40>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea998>, <kernel.DependentProduct object at 0x26ea878>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26eac20>, <kernel.DependentProduct object at 0x26ec0e0>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ec128>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_real:((real->Prop)->set_real)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea998>, <kernel.DependentProduct object at 0x26ec098>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_set_complex:((set_complex->Prop)->set_set_complex)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26eae18>, <kernel.DependentProduct object at 0x26ec170>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Int__Oint_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_set_int:((set_int->Prop)->set_set_int)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26eac20>, <kernel.DependentProduct object at 0x26ec1b8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring pow_nat:(set_nat->set_set_nat)
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea998>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ec050>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ea908>, <kernel.DependentProduct object at 0x26ec128>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec200>, <kernel.DependentProduct object at 0x26ec290>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec0e0>, <kernel.DependentProduct object at 0x26ec1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec098>, <kernel.DependentProduct object at 0x26ec170>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec200>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec098>, <kernel.DependentProduct object at 0x26ec0e0>) 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
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ec1b8>) 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
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec518>, <kernel.DependentProduct object at 0x26ec050>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec0e0>, <kernel.DependentProduct object at 0x26ec128>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec2d8>, <kernel.DependentProduct object at 0x26ec0e0>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring insert_int:(int->(set_int->set_int))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ec128>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec1b8>, <kernel.DependentProduct object at 0x26ec2d8>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring insert_real:(real->(set_real->set_real))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec518>, <kernel.DependentProduct object at 0x26ec758>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec1b8>, <kernel.DependentProduct object at 0x26ec2d8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.61/0.86 FOF formula (<kernel.Constant object at 0x26ec758>, <kernel.DependentProduct object at 0x26ec0e0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.61/0.86 Using role type
% 0.61/0.86 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec2d8>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec0e0>, <kernel.DependentProduct object at 0x26ec830>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ec0e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec830>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec0e0>, <kernel.DependentProduct object at 0x26ec830>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ec0e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec830>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec0e0>, <kernel.DependentProduct object at 0x26ec830>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ec0e0>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec830>, <kernel.DependentProduct object at 0x26ec248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec050>, <kernel.DependentProduct object at 0x26ec8c0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26eccf8>, <kernel.DependentProduct object at 0x26ece60>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_atLeast_real:(real->set_real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ecd88>, <kernel.DependentProduct object at 0x26ecea8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26eccf8>, <kernel.DependentProduct object at 0x26ecd88>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ecea8>, <kernel.DependentProduct object at 0x26eccf8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ecd88>, <kernel.DependentProduct object at 0x26ecea8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26eccf8>, <kernel.DependentProduct object at 0x26ec830>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26eccf8>, <kernel.DependentProduct object at 0x26ef0e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26eccf8>, <kernel.DependentProduct object at 0x26ef098>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ecf80>, <kernel.DependentProduct object at 0x26ef290>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26eccf8>, <kernel.DependentProduct object at 0x26ef320>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_lessThan_int:(int->set_int)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ef368>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ec248>, <kernel.DependentProduct object at 0x26ef3b0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_lessThan_num:(num->set_num)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef050>, <kernel.DependentProduct object at 0x26ef3f8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef170>, <kernel.DependentProduct object at 0x26ef440>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef3f8>, <kernel.DependentProduct object at 0x26ef4d0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef320>, <kernel.DependentProduct object at 0x26ef560>) of role type named sy_c_String_Oascii__of
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring ascii_of:(char->char)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef098>, <kernel.DependentProduct object at 0x26ef5a8>) of role type named sy_c_String_Ochar_OChar
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef2d8>, <kernel.DependentProduct object at 0x26ef6c8>) of role type named sy_c_String_Ochar__of__integer
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring char_of_integer:(code_integer->char)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef320>, <kernel.DependentProduct object at 0x26ef098>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef518>, <kernel.DependentProduct object at 0x26ef758>) of role type named sy_c_String_Ointeger__of__char
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring integer_of_char:(char->code_integer)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef2d8>, <kernel.DependentProduct object at 0x26ef320>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef518>, <kernel.DependentProduct object at 0x26ef830>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26ef320>, <kernel.DependentProduct object at 0x26ef8c0>) 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 0x26ef830>, <kernel.DependentProduct object at 0x26ef518>) 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 0x26ef8c0>, <kernel.DependentProduct object at 0x26ef908>) 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 0x26ef518>, <kernel.DependentProduct object at 0x26ef998>) 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 0x26ef908>, <kernel.DependentProduct object at 0x26efa28>) 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 0x26ef998>, <kernel.DependentProduct object at 0x26efab8>) 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 0x26efa28>, <kernel.DependentProduct object at 0x26efb48>) 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 0x26efab8>, <kernel.DependentProduct object at 0x26efbd8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x26efb48>, <kernel.DependentProduct object at 0x26efc68>) 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 0x26efbd8>, <kernel.DependentProduct object at 0x26efcf8>) 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 0x26efc68>, <kernel.DependentProduct object at 0x26efbd8>) 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 0x26efcf8>, <kernel.DependentProduct object at 0x26efb48>) 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 0x26efbd8>, <kernel.DependentProduct object at 0x26efea8>) 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 0x26efb48>, <kernel.DependentProduct object at 0x26eff38>) 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 0x26efea8>, <kernel.Constant object at 0x26efdd0>) 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
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26eff38>, <kernel.Constant object at 0x26efbd8>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26efe18>, <kernel.DependentProduct object at 0x26f2170>) of role type named sy_c_Transcendental_Oarccos
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring arccos:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26eff38>, <kernel.DependentProduct object at 0x26f21b8>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring arcosh_real:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26efbd8>, <kernel.DependentProduct object at 0x26f2200>) of role type named sy_c_Transcendental_Oarcsin
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring arcsin:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26eff38>, <kernel.DependentProduct object at 0x26f2248>) of role type named sy_c_Transcendental_Oarctan
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring arctan:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26efe18>, <kernel.DependentProduct object at 0x26f2290>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring arsinh_real:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26efe18>, <kernel.DependentProduct object at 0x26f22d8>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring artanh_real:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2098>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring cos_complex:(complex->complex)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2248>, <kernel.DependentProduct object at 0x26f2368>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring cos_real:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2128>, <kernel.DependentProduct object at 0x26f23f8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring cos_coeff:(nat->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2320>, <kernel.DependentProduct object at 0x26f2248>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring cosh_real:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f23f8>, <kernel.DependentProduct object at 0x26f2440>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring cot_real:(real->real)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2050>, <kernel.DependentProduct object at 0x26f2128>) of role type named sy_c_Transcendental_Odiffs_001t__Code____Numeral__Ointeger
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring diffs_Code_integer:((nat->code_integer)->(nat->code_integer))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2320>, <kernel.DependentProduct object at 0x26f2248>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f23f8>, <kernel.DependentProduct object at 0x26f2488>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring diffs_int:((nat->int)->(nat->int))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2050>, <kernel.DependentProduct object at 0x26f24d0>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2320>, <kernel.DependentProduct object at 0x26f2098>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring diffs_real:((nat->real)->(nat->real))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f23f8>, <kernel.DependentProduct object at 0x26f2248>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring exp_complex:(complex->complex)
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x26f2440>, <kernel.DependentProduct object at 0x26f2488>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring exp_real:(real->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2128>, <kernel.DependentProduct object at 0x26f2680>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring ln_ln_real:(real->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2098>, <kernel.DependentProduct object at 0x26f2440>) of role type named sy_c_Transcendental_Olog
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring log:(real->(real->real))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f26c8>, <kernel.Constant object at 0x26f2440>) of role type named sy_c_Transcendental_Opi
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring pi:real
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2680>, <kernel.DependentProduct object at 0x26f2098>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring powr_real:(real->(real->real))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2248>, <kernel.DependentProduct object at 0x26f27a0>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring sin_complex:(complex->complex)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2320>, <kernel.DependentProduct object at 0x26f2488>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring sin_real:(real->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2290>, <kernel.DependentProduct object at 0x26f2878>) of role type named sy_c_Transcendental_Osin__coeff
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring sin_coeff:(nat->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f27a0>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring sinh_real:(real->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2878>, <kernel.DependentProduct object at 0x26f28c0>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring tan_complex:(complex->complex)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f26c8>, <kernel.DependentProduct object at 0x26f2908>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring tan_real:(real->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2290>, <kernel.DependentProduct object at 0x26f2950>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring tanh_complex:(complex->complex)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2320>, <kernel.DependentProduct object at 0x26f2998>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring tanh_real:(real->real)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2440>, <kernel.DependentProduct object at 0x26f29e0>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f28c0>, <kernel.DependentProduct object at 0x26f2998>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2ab8>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2440>, <kernel.DependentProduct object at 0x26f2ab8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2b48>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2440>, <kernel.DependentProduct object at 0x26f2b48>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f28c0>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2c68>, <kernel.DependentProduct object at 0x26f2440>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f28c0>, <kernel.DependentProduct object at 0x26f2b48>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2440>, <kernel.DependentProduct object at 0x26f28c0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2b48>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2d40>, <kernel.DependentProduct object at 0x26f28c0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2e18>, <kernel.DependentProduct object at 0x26f28c0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f26c8>, <kernel.DependentProduct object at 0x26f2e18>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2ea8>, <kernel.DependentProduct object at 0x26f2f38>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2320>, <kernel.DependentProduct object at 0x26f28c0>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f26c8>, <kernel.DependentProduct object at 0x26f2320>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2ef0>, <kernel.DependentProduct object at 0x26f2f38>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2ea8>, <kernel.DependentProduct object at 0x26f50e0>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2f80>, <kernel.DependentProduct object at 0x26f5050>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2ea8>, <kernel.DependentProduct object at 0x26f5050>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2ef0>, <kernel.DependentProduct object at 0x26f6170>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.71/0.88 Using role type
% 0.71/0.88 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.71/0.88 FOF formula (<kernel.Constant object at 0x26f2f80>, <kernel.DependentProduct object at 0x26f51b8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6050>, <kernel.DependentProduct object at 0x26f6200>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f2f80>, <kernel.DependentProduct object at 0x26f62d8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6170>, <kernel.DependentProduct object at 0x26f6050>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f61b8>, <kernel.DependentProduct object at 0x26f6170>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6200>, <kernel.DependentProduct object at 0x26f62d8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6128>, <kernel.DependentProduct object at 0x26f61b8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6248>, <kernel.DependentProduct object at 0x26f6200>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f63b0>, <kernel.DependentProduct object at 0x26f6128>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6170>, <kernel.DependentProduct object at 0x26f6248>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f62d8>, <kernel.DependentProduct object at 0x26f63b0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f61b8>, <kernel.DependentProduct object at 0x26f6170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f62d8>, <kernel.DependentProduct object at 0x26f65a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6170>, <kernel.DependentProduct object at 0x26f66c8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f65a8>, <kernel.DependentProduct object at 0x26f63f8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6680>, <kernel.DependentProduct object at 0x26f66c8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6290>, <kernel.DependentProduct object at 0x26f6128>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6758>, <kernel.DependentProduct object at 0x26f66c8>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f63f8>, <kernel.DependentProduct object at 0x26f6830>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f67e8>, <kernel.DependentProduct object at 0x26f6758>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f63b0>, <kernel.DependentProduct object at 0x26f63f8>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6950>, <kernel.DependentProduct object at 0x26f65a8>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6878>, <kernel.DependentProduct object at 0x26f6830>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f66c8>, <kernel.DependentProduct object at 0x26f65a8>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6a28>, <kernel.DependentProduct object at 0x26f67e8>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6128>, <kernel.DependentProduct object at 0x26f63f8>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6758>, <kernel.DependentProduct object at 0x26f65a8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f67e8>, <kernel.DependentProduct object at 0x26f6830>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f65a8>, <kernel.DependentProduct object at 0x26f6a28>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6830>, <kernel.DependentProduct object at 0x26f6878>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f67e8>, <kernel.DependentProduct object at 0x26f65a8>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f69e0>, <kernel.DependentProduct object at 0x26f6cf8>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring fChoice_real:((real->Prop)->real)
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6a28>, <kernel.DependentProduct object at 0x26f69e0>) of role type named sy_c_member_001_Eo
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring member_o:(Prop->(set_o->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6878>, <kernel.DependentProduct object at 0x26f6a28>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring member_complex:(complex->(set_complex->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6c68>, <kernel.DependentProduct object at 0x26f65a8>) of role type named sy_c_member_001t__Int__Oint
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring member_int:(int->(set_int->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6cf8>, <kernel.DependentProduct object at 0x26f69e0>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.71/0.89 FOF formula (<kernel.Constant object at 0x26f6a28>, <kernel.DependentProduct object at 0x26f6c68>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.71/0.89 Using role type
% 0.71/0.89 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6cf8>, <kernel.DependentProduct object at 0x26f6a28>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6878>, <kernel.DependentProduct object at 0x26f6c68>) of role type named sy_c_member_001t__Nat__Onat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member_nat:(nat->(set_nat->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6ea8>, <kernel.DependentProduct object at 0x26f6cf8>) of role type named sy_c_member_001t__Num__Onum
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member_num:(num->(set_num->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6878>, <kernel.DependentProduct object at 0x26f67e8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6f80>, <kernel.DependentProduct object at 0x26f6cf8>) of role type named sy_c_member_001t__Rat__Orat
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member_rat:(rat->(set_rat->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6b90>, <kernel.DependentProduct object at 0x26f9050>) of role type named sy_c_member_001t__Real__Oreal
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member_real:(real->(set_real->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f69e0>, <kernel.DependentProduct object at 0x26f9098>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6b90>, <kernel.DependentProduct object at 0x26f90e0>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6c68>, <kernel.Constant object at 0x26f67e8>) of role type named sy_v_deg____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring deg:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6fc8>, <kernel.Constant object at 0x26f90e0>) of role type named sy_v_lx____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring lx:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6c68>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_m____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring m:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6fc8>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_ma____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring ma:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6c68>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_maxi____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring maxi:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f6c68>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_maxs____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring maxs:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f9200>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_mi____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring mi:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f9248>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_na____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring na:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f9290>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_summary____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring summary:vEBT_VEBT
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f92d8>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_summin____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring summin:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f9320>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_treeList____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring treeList:list_VEBT_VEBT
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f9368>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_xa____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring xa:nat
% 0.71/0.90 FOF formula (<kernel.Constant object at 0x26f93b0>, <kernel.Constant object at 0x26f9098>) of role type named sy_v_ya____
% 0.71/0.90 Using role type
% 0.71/0.90 Declaring ya:nat
% 0.71/0.90 FOF formula (((eq nat) m) na) of role axiom named fact_0__C4_Ohyps_C_I3_J
% 0.71/0.90 A new axiom: (((eq nat) m) na)
% 0.71/0.90 FOF formula ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) maxs)) maxi) of role axiom named fact_1__092_060open_062both__member__options_A_ItreeList_A_B_Amaxs_J_Amaxi_092_060close_062
% 0.71/0.90 A new axiom: ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) maxs)) maxi)
% 0.71/0.90 FOF formula (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X)) of role axiom named fact_2_bit__split__inv
% 0.71/0.90 A new axiom: (forall (X:nat) (D:nat), (((eq nat) (((vEBT_VEBT_bit_concat ((vEBT_VEBT_high X) D)) ((vEBT_VEBT_low X) D)) D)) X))
% 0.71/0.90 FOF formula (forall (X:nat) (Y:nat), (((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions summary) Y)))) of role axiom named fact_3__C4_OIH_C_I2_J
% 0.71/0.90 A new axiom: (forall (X:nat) (Y:nat), (((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions summary) Y))))
% 0.71/0.90 FOF formula (forall (A:nat) (B:nat), (((eq nat) ((divide_divide_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat A) B))) ((power_power_nat (numeral_numeral_nat (bit0 one))) A))) ((power_power_nat (numeral_numeral_nat (bit0 one))) B))) of role axiom named fact_4_pow__sum
% 0.71/0.90 A new axiom: (forall (A:nat) (B:nat), (((eq nat) ((divide_divide_nat ((power_power_nat (numeral_numeral_nat (bit0 one))) ((plus_plus_nat A) B))) ((power_power_nat (numeral_numeral_nat (bit0 one))) A))) ((power_power_nat (numeral_numeral_nat (bit0 one))) B)))
% 0.71/0.90 FOF formula (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X2:nat) (N:nat)=> ((divide_divide_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N)))) of role axiom named fact_5_high__def
% 0.71/0.90 A new axiom: (((eq (nat->(nat->nat))) vEBT_VEBT_high) (fun (X2:nat) (N:nat)=> ((divide_divide_nat X2) ((power_power_nat (numeral_numeral_nat (bit0 one))) N))))
% 0.71/0.90 FOF formula (((eq nat) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))) na) of role axiom named fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062
% 0.71/0.90 A new axiom: (((eq nat) ((divide_divide_nat deg) (numeral_numeral_nat (bit0 one)))) na)
% 0.71/0.90 FOF formula (((eq nat) deg) ((plus_plus_nat na) m)) of role axiom named fact_7__C4_Ohyps_C_I4_J
% 0.71/0.90 A new axiom: (((eq nat) deg) ((plus_plus_nat na) m))
% 0.71/0.90 FOF formula ((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) summin)) X_1))) of role axiom named fact_8__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062
% 0.71/0.90 A new axiom: ((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) summin)) X_1)))
% 0.71/0.90 FOF formula ((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) maxs)) X_1))) of role axiom named fact_9__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Az_092_060close_062
% 0.71/0.90 A new axiom: ((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions ((nth_VEBT_VEBT treeList) maxs)) X_1)))
% 0.71/0.90 FOF formula (((eq (nat->(nat->(nat->nat)))) vEBT_VEBT_bit_concat) (fun (H:nat) (L:nat) (D2:nat)=> ((plus_plus_nat ((times_times_nat H) ((power_power_nat (numeral_numeral_nat (bit0 one))) D2))) L))) of role axiom named fact_10_bit__concat__def
% 0.71/0.91 A new axiom: (((eq (nat->(nat->(nat->nat)))) vEBT_VEBT_bit_concat) (fun (H:nat) (L:nat) (D2:nat)=> ((plus_plus_nat ((times_times_nat H) ((power_power_nat (numeral_numeral_nat (bit0 one))) D2))) L)))
% 0.71/0.91 FOF formula (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) of role axiom named fact_11_hprolist
% 0.71/0.91 A new axiom: (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))
% 0.71/0.91 FOF formula (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))))) ((nth_VEBT_VEBT treeList) maxs)) of role axiom named fact_12__092_060open_062treeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_A_061_AtreeList_A_B_Amaxs_092_060close_062
% 0.71/0.91 A new axiom: (((eq vEBT_VEBT) ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))))) ((nth_VEBT_VEBT treeList) maxs))
% 0.75/0.91 FOF formula (((eq nat) (the_nat (vEBT_vebt_maxt ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))))))) (the_nat (vEBT_vebt_maxt ((nth_VEBT_VEBT treeList) maxs)))) of role axiom named fact_13__092_060open_062the_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_J_J_A_061_Athe_A_Ivebt__maxt_A_ItreeList_A_B_Amaxs_J_J_092_060close_062
% 0.75/0.91 A new axiom: (((eq nat) (the_nat (vEBT_vebt_maxt ((nth_VEBT_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) (the_nat (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))))))) (the_nat (vEBT_vebt_maxt ((nth_VEBT_VEBT treeList) maxs))))
% 0.75/0.91 FOF formula ((and ((vEBT_V8194947554948674370ptions summary) maxs)) (not (((eq nat) maxs) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) of role axiom named fact_14__092_060open_062both__member__options_Asummary_Amaxs_A_092_060and_062_Amaxs_A_092_060noteq_062_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_092_060close_062
% 0.75/0.91 A new axiom: ((and ((vEBT_V8194947554948674370ptions summary) maxs)) (not (((eq nat) maxs) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))))
% 0.75/0.91 FOF formula ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) maxs) of role axiom named fact_15__092_060open_062both__member__options_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Amaxs_092_060close_062
% 0.75/0.91 A new axiom: ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) maxs)
% 0.75/0.91 FOF formula (((eq option_nat) (some_nat maxi)) (vEBT_vebt_maxt ((nth_VEBT_VEBT treeList) maxs))) of role axiom named fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062
% 0.75/0.91 A new axiom: (((eq option_nat) (some_nat maxi)) (vEBT_vebt_maxt ((nth_VEBT_VEBT treeList) maxs)))
% 0.75/0.91 FOF formula (not (((eq option_nat) (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) none_nat)) of role axiom named fact_17_False
% 0.75/0.91 A new axiom: (not (((eq option_nat) (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) none_nat))
% 0.75/0.92 FOF formula (((eq option_nat) (some_nat maxs)) (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))) of role axiom named fact_18__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_092_060close_062
% 0.75/0.92 A new axiom: (((eq option_nat) (some_nat maxs)) (vEBT_vebt_maxt ((vEBT_vebt_delete summary) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))))
% 0.75/0.92 FOF formula (((eq nat) ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) ma) of role axiom named fact_19_True
% 0.75/0.92 A new axiom: (((eq nat) ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) ma)
% 0.75/0.92 FOF formula (((eq nat) (size_s6755466524823107622T_VEBT treeList)) (size_s6755466524823107622T_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))))) of role axiom named fact_20__092_060open_062length_AtreeList_A_061_Alength_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_092_060close_062
% 0.75/0.92 A new axiom: (((eq nat) (size_s6755466524823107622T_VEBT treeList)) (size_s6755466524823107622T_VEBT (((list_u1324408373059187874T_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)) ((vEBT_vebt_delete ((nth_VEBT_VEBT treeList) ((vEBT_VEBT_high ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na))) ((vEBT_VEBT_low ((plus_plus_nat ((times_times_nat summin) ((power_power_nat (numeral_numeral_nat (bit0 one))) na))) lx)) na)))))
% 0.75/0.92 FOF formula (forall (M:nat), (((eq nat) ((divide_divide_nat ((plus_plus_nat M) M)) (numeral_numeral_nat (bit0 one)))) M)) of role axiom named fact_21_add__self__div__2
% 0.75/0.92 A new axiom: (forall (M:nat), (((eq nat) ((divide_divide_nat ((plus_plus_nat M) M)) (numeral_numeral_nat (bit0 one)))) M))
% 0.75/0.92 <<<ghtarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
% 0.75/0.92 ~ !>>>!!!<<< [Maxs: nat] :
% 0.75/0.92 ( ( some_nat @ Maxs )
% 0.75/0.92 != ( vEBT_vebt_maxt @ ( vEBT_vebt_dele>>>
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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, LexToken(THF,'thf',1,139326), LexToken(LPAR,'(',1,139329), name, LexToken(COMMA,',',1,139599), formula_role, LexToken(COMMA,',',1,139605), unary_connective]
% 0.75/0.92 Unexpected exception Syntax error at '!':BANG
% 0.75/0.92 Traceback (most recent call last):
% 0.75/0.92 File "CASC.py", line 79, in <module>
% 0.75/0.92 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.75/0.92 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.75/0.92 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.75/0.92 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.75/0.92 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.75/0.92 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.75/0.92 tok = self.errorfunc(errtoken)
% 0.75/0.92 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.75/0.92 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.75/0.92 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------