TSTP Solution File: ITP225^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP225^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 17:47:36 EDT 2022
% Result : Unknown 0.76s 0.97s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ITP225^3 : TPTP v7.6.0. Released v7.6.0.
% 0.11/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n011.cluster.edu
% 0.12/0.34 Model : x86_64 x86_64
% 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 RAMPerCPU : 8042.1875MB
% 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 18 10:30:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.43/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1760d88>, <kernel.Type object at 0x2abdb17603b0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_Pr8693737435421807431at_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1760c20>, <kernel.Type object at 0x2abdb17427a0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc5835291356934675326atural:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1760c20>, <kernel.Type object at 0x2abdb1742c68>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc859450856879609959at_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1760d88>, <kernel.Type object at 0x2abdb1742200>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P7413028617227757229T_VEBT:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1742cf8>, <kernel.Type object at 0x2abdb1742128>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P5578671422887162913nteger:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1742368>, <kernel.Type object at 0x2abdb17424d0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P7037539587688870467BT_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb17425f0>, <kernel.Type object at 0x2abdb1742cf8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P4547456442757143711BT_int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb1742998>, <kernel.Type object at 0x2abdb1742320>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc8243902056947475879T_VEBT:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb17425f0>, <kernel.Type object at 0x2abdb1742368>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc7822875418678951345atural:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb17421b8>, <kernel.Type object at 0x2abdb1742998>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc8923325533196201883nteger:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb17425f0>, <kernel.Type object at 0x1e19cf8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc7272778201969148633d_enat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb17425f0>, <kernel.Type object at 0x1e19e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P3126845725202233233VEBT_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2abdb17421b8>, <kernel.Type object at 0x1dfcea8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P7495141550334521929T_VEBT:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1e19e18>, <kernel.Type object at 0x1dfcb48>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P8526636022914148096eger_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1e19e18>, <kernel.Type object at 0x1dfcb90>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring option4927543243414619207at_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1e19fc8>, <kernel.Type object at 0x1dfc9e0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc9072475918466114483BT_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcc20>, <kernel.Type object at 0x1dfc6c8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc4894624898956917775BT_int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcab8>, <kernel.Type object at 0x1dfcdd0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_Pr1261947904930325089at_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcd88>, <kernel.Type object at 0x1dfcc20>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_Pr958786334691620121nt_int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcc68>, <kernel.Type object at 0x1dfcdd0>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring set_Sum_sum_nat_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcab8>, <kernel.Type object at 0x1dfca28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P6285523579766656935_o_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfce60>, <kernel.Type object at 0x1dfcc68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P3795440434834930179_o_int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcc20>, <kernel.Type object at 0x1dfcab8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc334124729049499915VEBT_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcd40>, <kernel.Type object at 0x1dfce60>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc2504756804600209347T_VEBT:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcf38>, <kernel.Type object at 0x2abdb173b950>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring produc6271795597528267376eger_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcd40>, <kernel.Type object at 0x1e21a28>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring product_prod_nat_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcb00>, <kernel.Type object at 0x1e21a28>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring product_prod_int_int:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcbd8>, <kernel.Type object at 0x1e21d88>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_P4002435161011370285od_o_o:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcc20>, <kernel.Type object at 0x1e21a28>) of role type named ty_n_t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring sum_sum_nat_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfc680>, <kernel.Type object at 0x1e21f38>) of role type named ty_n_t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_list_nat:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcc20>, <kernel.Type object at 0x1e21ab8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring list_VEBT_VEBT:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1dfcbd8>, <kernel.Type object at 0x1e216c8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring set_list_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1dfcbd8>, <kernel.Type object at 0x1e21638>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring product_prod_o_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1e215a8>, <kernel.Type object at 0x1e21680>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring product_prod_o_int:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e218c0>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring list_set_nat:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1e21d88>, <kernel.Type object at 0x1e21518>) of role type named ty_n_t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring list_Code_integer:Type
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x1e215a8>, <kernel.Type object at 0x1e21878>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_VEBT_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e217e8>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_set_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21d88>, <kernel.Type object at 0x1e21758>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Code_integer:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e215a8>, <kernel.Type object at 0x1e21320>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_Product_unit:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e213b0>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_complex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21d88>, <kernel.Type object at 0x1e211b8>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring product_prod_o_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e215a8>, <kernel.Type object at 0x1e21290>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_complex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e212d8>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21d88>, <kernel.Type object at 0x1e21248>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring option_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e215a8>, <kernel.Type object at 0x1e210e0>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e21170>) of role type named ty_n_t__Filter__Ofilter_It__Int__Oint_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring filter_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21d88>, <kernel.Type object at 0x1e21128>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_char:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e215a8>, <kernel.Type object at 0x1e21998>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21a28>, <kernel.Type object at 0x1e1e2d8>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e1e2d8>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21998>, <kernel.Type object at 0x1e1ec68>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x1e21128>, <kernel.Type object at 0x1e1eea8>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring vEBT_VEBT:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e21488>, <kernel.Type object at 0x1e1ee18>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_rat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e21128>, <kernel.Type object at 0x1e1ee60>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e21998>, <kernel.Type object at 0x1e1eb00>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e21998>, <kernel.Type object at 0x1e1e170>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ecf8>, <kernel.Type object at 0x1e1e4d0>) of role type named ty_n_t__Code____Numeral__Onatural
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring code_natural:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ee18>, <kernel.Type object at 0x1e1e998>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring code_integer:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1e2d8>, <kernel.Type object at 0x1e1e758>) of role type named ty_n_t__Product____Type__Ounit
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring product_unit:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ec68>, <kernel.Type object at 0x1e1ec20>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring extended_enat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ee18>, <kernel.Type object at 0x1e1e9e0>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring list_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1eea8>, <kernel.Type object at 0x1e1e998>) of role type named ty_n_t__Complex__Ocomplex
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring complex:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1e9e0>, <kernel.Type object at 0x1f8c2d8>) of role type named ty_n_t__String__Oliteral
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring literal:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1e998>, <kernel.Type object at 0x1f8c2d8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring set_o:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ec20>, <kernel.Type object at 0x1f8c290>) of role type named ty_n_t__String__Ochar
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring char:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1eea8>, <kernel.Type object at 0x1f8c248>) of role type named ty_n_t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring real:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1e998>, <kernel.Type object at 0x1f8c170>) of role type named ty_n_t__Rat__Orat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring rat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1eea8>, <kernel.Type object at 0x1f8c1b8>) of role type named ty_n_t__Num__Onum
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring num:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ec20>, <kernel.Type object at 0x1f8c0e0>) of role type named ty_n_t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring nat:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1e1ec20>, <kernel.Type object at 0x1f8c128>) of role type named ty_n_t__Int__Oint
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring int:Type
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1f8c290>, <kernel.DependentProduct object at 0x1f8c440>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1f8c050>, <kernel.DependentProduct object at 0x1f8c4d0>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim7802044766580827645g_real:(real->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1f8c440>, <kernel.DependentProduct object at 0x1f8c560>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1f8c4d0>, <kernel.DependentProduct object at 0x1f8c5f0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring archim6058952711729229775r_real:(real->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c248>, <kernel.DependentProduct object at 0x1f8c680>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archimedean_frac_rat:(rat->rat)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c4d0>, <kernel.DependentProduct object at 0x1f8c6c8>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim2898591450579166408c_real:(real->real)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c680>, <kernel.DependentProduct object at 0x1f8c758>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c6c8>, <kernel.DependentProduct object at 0x1f8c7e8>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring archim8280529875227126926d_real:(real->int)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c758>, <kernel.Constant object at 0x1f8c518>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c7e8>, <kernel.Constant object at 0x1f8c680>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c518>, <kernel.DependentProduct object at 0x1f8c908>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re1962705104956426057at_rat:(((nat->rat)->((nat->rat)->Prop))->((((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))->(((nat->rat)->((nat->rat)->(nat->rat)))->(((nat->rat)->((nat->rat)->(nat->rat)))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c680>, <kernel.DependentProduct object at 0x1f8cb00>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re895249473297799549at_rat:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c908>, <kernel.DependentProduct object at 0x1f8c7e8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re728719798268516973at_o_o:(((nat->rat)->((nat->rat)->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->(((nat->rat)->Prop)->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8cb00>, <kernel.DependentProduct object at 0x1f8c9e0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_It__Real__Oreal_Mt__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re4695409256820837752l_real:(((nat->rat)->(real->Prop))->((((nat->rat)->(nat->rat))->((real->real)->Prop))->(((nat->rat)->((nat->rat)->(nat->rat)))->((real->(real->real))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c7e8>, <kernel.DependentProduct object at 0x1f8ccb0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_Eo_J_001_062_It__Real__Oreal_M_Eo_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring bNF_re4521903465945308077real_o:(((nat->rat)->(real->Prop))->((((nat->rat)->Prop)->((real->Prop)->Prop))->(((nat->rat)->((nat->rat)->Prop))->((real->(real->Prop))->Prop))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x1f8c9e0>, <kernel.DependentProduct object at 0x1f8cb00>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re3023117138289059399t_real:(((nat->rat)->(real->Prop))->(((nat->rat)->(real->Prop))->(((nat->rat)->(nat->rat))->((real->real)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8ccb0>, <kernel.DependentProduct object at 0x1f8cdd0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal_001_Eo_001_Eo
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re4297313714947099218al_o_o:(((nat->rat)->(real->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->((real->Prop)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8cb00>, <kernel.DependentProduct object at 0x1f8c998>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_062_It__Int__Oint_M_Eo_J_001_062_It__Code____Numeral__Ointeger_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re6321650412969554871eger_o:((int->(code_integer->Prop))->(((int->Prop)->((code_integer->Prop)->Prop))->((int->(int->Prop))->((code_integer->(code_integer->Prop))->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8cdd0>, <kernel.DependentProduct object at 0x1f8cf80>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re398004352372739002nteger:((int->(code_integer->Prop))->(((int->int)->((code_integer->code_integer)->Prop))->((int->(int->int))->((code_integer->(code_integer->code_integer))->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8c998>, <kernel.DependentProduct object at 0x1f8ce18>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_Eo_001_Eo
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re6574881592172037608er_o_o:((int->(code_integer->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((code_integer->Prop)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8cf80>, <kernel.DependentProduct object at 0x1f8cef0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re3379532845092657523nteger:((int->(code_integer->Prop))->((int->(code_integer->Prop))->((int->int)->((code_integer->code_integer)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8ce18>, <kernel.DependentProduct object at 0x1f8ccf8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Nat__Onat_001t__Code____Numeral__Onatural
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re1831474436612530402atural:((int->(code_integer->Prop))->((nat->(code_natural->Prop))->((int->nat)->((code_integer->code_natural)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8cef0>, <kernel.DependentProduct object at 0x1e081b8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re2807294637932363402at_nat:((int->(code_integer->Prop))->((nat->(nat->Prop))->((int->nat)->((code_integer->nat)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8ccf8>, <kernel.DependentProduct object at 0x1e08248>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Num__Onum_001t__Num__Onum
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re6718328864250387230um_num:((int->(code_integer->Prop))->((num->(num->Prop))->((int->num)->((code_integer->num)->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8ccf8>, <kernel.DependentProduct object at 0x1e08128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x1f8ce18>, <kernel.DependentProduct object at 0x1e083b0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e081b8>, <kernel.DependentProduct object at 0x1e08488>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re157797125943740599nt_int:((int->(int->Prop))->(((int->product_prod_int_int)->((int->product_prod_int_int)->Prop))->((int->(int->product_prod_int_int))->((int->(int->product_prod_int_int))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e080e0>, <kernel.DependentProduct object at 0x1e08518>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Rat__Orat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re3461391660133120880nt_rat:((int->(int->Prop))->(((int->product_prod_int_int)->((int->rat)->Prop))->((int->(int->product_prod_int_int))->((int->(int->rat))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e08368>, <kernel.DependentProduct object at 0x1e08098>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e08518>, <kernel.DependentProduct object at 0x1e08560>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e08098>, <kernel.DependentProduct object at 0x1e08638>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re3715656647883201625at_nat:((int->(int->Prop))->((nat->(nat->Prop))->((int->nat)->((int->nat)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e08560>, <kernel.DependentProduct object at 0x1e086c8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re7626690874201225453um_num:((int->(int->Prop))->((num->(num->Prop))->((int->num)->((int->num)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e08638>, <kernel.DependentProduct object at 0x1e08758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re6250860962936578807nt_int:((int->(int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((int->product_prod_int_int)->((int->product_prod_int_int)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e086c8>, <kernel.DependentProduct object at 0x1e087e8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re2214769303045360666nt_rat:((int->(int->Prop))->((product_prod_int_int->(rat->Prop))->((int->product_prod_int_int)->((int->rat)->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e08758>, <kernel.DependentProduct object at 0x1e086c8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Code____Numeral__Onatural_M_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring bNF_re1639080489988575423ural_o:((nat->(code_natural->Prop))->(((nat->Prop)->((code_natural->Prop)->Prop))->((nat->(nat->Prop))->((code_natural->(code_natural->Prop))->Prop))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x1e081b8>, <kernel.DependentProduct object at 0x1e08950>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re88643428490162567atural:((nat->(code_natural->Prop))->(((nat->nat)->((code_natural->code_natural)->Prop))->((nat->(nat->nat))->((code_natural->(code_natural->code_natural))->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e086c8>, <kernel.DependentProduct object at 0x1e08290>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001_Eo_001_Eo
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re2785088596696291543al_o_o:((nat->(code_natural->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((code_natural->Prop)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e08950>, <kernel.DependentProduct object at 0x1e088c0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re5252274238750452962nteger:((nat->(code_natural->Prop))->((int->(code_integer->Prop))->((nat->int)->((code_natural->code_integer)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e08290>, <kernel.DependentProduct object at 0x1e089e0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Code____Numeral__Onatural_001t__Nat__Onat_001t__Code____Numeral__Onatural
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re3704215830270325841atural:((nat->(code_natural->Prop))->((nat->(code_natural->Prop))->((nat->nat)->((code_natural->code_natural)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e088c0>, <kernel.DependentProduct object at 0x1e085f0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e089e0>, <kernel.DependentProduct object at 0x1e08c20>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e085f0>, <kernel.DependentProduct object at 0x1e082d8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e08c20>, <kernel.DependentProduct object at 0x1e08bd8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re4153400068438556298nteger:((nat->(nat->Prop))->((int->(code_integer->Prop))->((nat->int)->((nat->code_integer)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e082d8>, <kernel.DependentProduct object at 0x1e08cb0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re6650684261131312217nt_int:((nat->(nat->Prop))->((int->(int->Prop))->((nat->int)->((nat->int)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e08bd8>, <kernel.DependentProduct object at 0x1e08d88>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x1e08cb0>, <kernel.DependentProduct object at 0x1e08e18>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08d88>, <kernel.DependentProduct object at 0x1e083f8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001_062_It__Num__Onum_Mt__Int__Oint_J_001_062_It__Num__Onum_Mt__Code____Numeral__Ointeger_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re7876454716742015248nteger:((num->(num->Prop))->(((num->int)->((num->code_integer)->Prop))->((num->(num->int))->((num->(num->code_integer))->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08e18>, <kernel.DependentProduct object at 0x1e08ea8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001_062_It__Num__Onum_Mt__Int__Oint_J_001_062_It__Num__Onum_Mt__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re8402795839162346335um_int:((num->(num->Prop))->(((num->int)->((num->int)->Prop))->((num->(num->int))->((num->(num->int))->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e083f8>, <kernel.DependentProduct object at 0x1e08bd8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re6501075790457514782nteger:((num->(num->Prop))->((int->(code_integer->Prop))->((num->int)->((num->code_integer)->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08ea8>, <kernel.DependentProduct object at 0x1e08fc8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re1822329894187522285nt_int:((num->(num->Prop))->((int->(int->Prop))->((num->int)->((num->int)->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08bd8>, <kernel.DependentProduct object at 0x1e08f80>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re5228765855967844073nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08fc8>, <kernel.DependentProduct object at 0x1e0b200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re8699439704749558557nt_o_o:((product_prod_int_int->(product_prod_int_int->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((product_prod_int_int->Prop)->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08fc8>, <kernel.DependentProduct object at 0x1e0b290>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring bNF_re7145576690424134365nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->(product_prod_int_int->Prop))->((product_prod_int_int->product_prod_int_int)->((product_prod_int_int->product_prod_int_int)->Prop))))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0x1e08fc8>, <kernel.DependentProduct object at 0x1e0b128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re7627151682743391978at_rat:((product_prod_int_int->(rat->Prop))->(((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->((rat->(rat->rat))->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b290>, <kernel.DependentProduct object at 0x1e0b320>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001_Eo_001_Eo
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b128>, <kernel.DependentProduct object at 0x1e0b440>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re8279943556446156061nt_rat:((product_prod_int_int->(rat->Prop))->((product_prod_int_int->(rat->Prop))->((product_prod_int_int->product_prod_int_int)->((rat->rat)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b320>, <kernel.DependentProduct object at 0x1e0b128>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re717283939379294677_int_o:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->Prop)->((int->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((int->(int->Prop))->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b0e0>, <kernel.DependentProduct object at 0x1e0b5f0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re7408651293131936558nt_int:((product_prod_nat_nat->(int->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((int->(int->int))->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b128>, <kernel.DependentProduct object at 0x1e0b368>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo_001_Eo
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b5f0>, <kernel.DependentProduct object at 0x1e0b5a8>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re4555766996558763186at_nat:((product_prod_nat_nat->(int->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((int->nat)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b368>, <kernel.DependentProduct object at 0x1e0b680>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re7400052026677387805at_int:((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->(int->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((int->int)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b5a8>, <kernel.DependentProduct object at 0x1e0b098>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re4202695980764964119_nat_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b680>, <kernel.DependentProduct object at 0x1e0b8c0>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re3099431351363272937at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b098>, <kernel.DependentProduct object at 0x1e0b200>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re3666534408544137501at_o_o:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((product_prod_nat_nat->Prop)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b8c0>, <kernel.DependentProduct object at 0x1e0b878>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re8246922863344978751at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((product_prod_nat_nat->nat)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b200>, <kernel.DependentProduct object at 0x1e0b758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_re2241393799969408733at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->product_prod_nat_nat)->((product_prod_nat_nat->product_prod_nat_nat)->Prop))))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b878>, <kernel.DependentProduct object at 0x1e0ba28>) of role type named sy_c_BNF__Wellorder__Relation_Owo__rel_001t__Nat__Onat
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring bNF_We3818239936649020644el_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b200>, <kernel.DependentProduct object at 0x1e0b758>) of role type named sy_c_Binomial_Obinomial
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring binomial:(nat->(nat->nat))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b878>, <kernel.DependentProduct object at 0x1e0b200>) of role type named sy_c_Binomial_Ogbinomial_001t__Code____Numeral__Ointeger
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gbinom8545251970709558553nteger:(code_integer->(nat->code_integer))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0b098>, <kernel.DependentProduct object at 0x1e0b758>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0ba70>, <kernel.DependentProduct object at 0x1e0b878>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.46/0.69 Using role type
% 0.46/0.69 Declaring gbinomial_int:(int->(nat->int))
% 0.46/0.69 FOF formula (<kernel.Constant object at 0x1e0bb48>, <kernel.DependentProduct object at 0x1e0b098>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0ba28>, <kernel.DependentProduct object at 0x1e0ba70>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0bab8>, <kernel.DependentProduct object at 0x1e0bb48>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring gbinomial_real:(real->(nat->real))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0b1b8>, <kernel.DependentProduct object at 0x1e0bab8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0b200>, <kernel.DependentProduct object at 0x1e0bb48>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_and_not_num:(num->(num->option_num))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0bcb0>, <kernel.DependentProduct object at 0x1e0b1b8>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0bb00>, <kernel.DependentProduct object at 0x1e0ba28>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0b200>, <kernel.DependentProduct object at 0x1e0bd40>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_ri7632146776885996613nteger:(code_integer->code_integer)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0ba28>, <kernel.DependentProduct object at 0x1e0be18>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0bd40>, <kernel.DependentProduct object at 0x1e0ba28>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0be18>, <kernel.DependentProduct object at 0x1e0bd40>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0ba28>, <kernel.DependentProduct object at 0x1e0be18>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0bd40>, <kernel.DependentProduct object at 0x1e0bea8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Onatural
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2773287842338716102atural:(code_natural->(code_natural->code_natural))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0be18>, <kernel.DependentProduct object at 0x1e0bf38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0be18>, <kernel.DependentProduct object at 0x1e12050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0be18>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e0bd40>, <kernel.DependentProduct object at 0x1e12290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e12320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12050>, <kernel.DependentProduct object at 0x1e123b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Onatural
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se168947363167071951atural:(nat->(code_natural->code_natural))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12248>, <kernel.DependentProduct object at 0x1e12440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12128>, <kernel.DependentProduct object at 0x1e12248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12440>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2119862282449309892nteger:(nat->code_integer)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12248>, <kernel.DependentProduct object at 0x1e12638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e126c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e12638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e126c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se7788150548672797655nteger:(nat->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e12638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e126c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.46/0.70 Using role type
% 0.46/0.70 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.46/0.70 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Onatural
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se1617098188084679374atural:(nat->(code_natural->code_natural))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e12638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e126c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Ointeger
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se1745604003318907178nteger:(nat->(code_integer->code_integer))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e12638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Code____Numeral__Onatural
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se569199155075624693atural:(nat->(code_natural->code_natural))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e126c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e12638>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e126c8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Onatural
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se7083795435491715335atural:(nat->(code_natural->code_natural))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e12050>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e12f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Code____Numeral__Ointeger
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se3222712562003087583nteger:(code_integer->(code_integer->code_integer))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e14098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e14200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.53/0.70 Using role type
% 0.53/0.70 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.53/0.70 FOF formula (<kernel.Constant object at 0x1e126c8>, <kernel.DependentProduct object at 0x1e14290>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14200>, <kernel.DependentProduct object at 0x1e14128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Onatural
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring bit_se8040316288895769887atural:(code_natural->(nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14320>, <kernel.DependentProduct object at 0x1e14368>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14248>, <kernel.DependentProduct object at 0x1e143f8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14440>, <kernel.DependentProduct object at 0x1e143b0>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14518>, <kernel.DependentProduct object at 0x1e14560>) of role type named sy_c_Code__Numeral_ONat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_Nat:(code_integer->code_natural)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14320>, <kernel.DependentProduct object at 0x1e14200>) of role type named sy_c_Code__Numeral_OSuc
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_Suc:(code_natural->code_natural)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e143f8>, <kernel.DependentProduct object at 0x1e14518>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14098>, <kernel.DependentProduct object at 0x1e143f8>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e143b0>, <kernel.DependentProduct object at 0x1e14518>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14680>, <kernel.DependentProduct object at 0x1e145f0>) of role type named sy_c_Code__Numeral_Odup
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_dup:(code_integer->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14518>, <kernel.DependentProduct object at 0x1e14758>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_int_of_integer:(code_integer->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14638>, <kernel.DependentProduct object at 0x1e14710>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_integer_of_int:(int->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e143b0>, <kernel.DependentProduct object at 0x1e147a0>) of role type named sy_c_Code__Numeral_Ointeger__of__nat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_integer_of_nat:(nat->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14638>, <kernel.DependentProduct object at 0x1e147e8>) of role type named sy_c_Code__Numeral_Ointeger__of__natural
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_i5400310926305786745atural:(code_natural->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e145f0>, <kernel.DependentProduct object at 0x1e14878>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_integer_of_num:(num->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14710>, <kernel.DependentProduct object at 0x1e148c0>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_nat_of_integer:(code_integer->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14518>, <kernel.DependentProduct object at 0x1e14908>) of role type named sy_c_Code__Numeral_Onatural_Onat__of__natural
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_nat_of_natural:(code_natural->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e147e8>, <kernel.DependentProduct object at 0x1e14950>) of role type named sy_c_Code__Numeral_Onatural_Onatural__of__nat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_natural_of_nat:(nat->code_natural)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14518>, <kernel.DependentProduct object at 0x1e14998>) of role type named sy_c_Code__Numeral_Onatural__of__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_n4118661773612635043nteger:(code_integer->code_natural)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e146c8>, <kernel.DependentProduct object at 0x1e14a70>) of role type named sy_c_Code__Numeral_Onegative
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_negative:(num->code_integer)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14710>, <kernel.DependentProduct object at 0x1e14518>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_num_of_integer:(code_integer->num)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14878>, <kernel.DependentProduct object at 0x1e14710>) of role type named sy_c_Code__Numeral_Opcr__integer
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_pcr_integer:(int->(code_integer->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14a70>, <kernel.DependentProduct object at 0x1e14518>) of role type named sy_c_Code__Numeral_Opcr__natural
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_pcr_natural:(nat->(code_natural->Prop))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e146c8>, <kernel.DependentProduct object at 0x1e14998>) of role type named sy_c_Code__Numeral_Osub
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_sub:(num->(num->code_integer))
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14950>, <kernel.DependentProduct object at 0x1e14518>) of role type named sy_c_Code__Target__Int_Onegative
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_Target_negative:(num->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14a70>, <kernel.DependentProduct object at 0x1e146c8>) of role type named sy_c_Code__Target__Nat_ONat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_Target_Nat:(code_integer->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14998>, <kernel.DependentProduct object at 0x1e14c20>) of role type named sy_c_Code__Target__Nat_Oint__of__nat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring code_T6385005292777649522of_nat:(nat->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14518>, <kernel.DependentProduct object at 0x1e14cb0>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring complete_Inf_Inf_int:(set_int->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14998>, <kernel.DependentProduct object at 0x1e14cf8>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14cb0>, <kernel.DependentProduct object at 0x1e14d88>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14950>, <kernel.DependentProduct object at 0x1e14e18>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring complete_Sup_Sup_int:(set_int->int)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e146c8>, <kernel.DependentProduct object at 0x1e14e60>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14950>, <kernel.DependentProduct object at 0x1e14ea8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14d40>, <kernel.DependentProduct object at 0x1e14f38>) of role type named sy_c_Complex_OArg
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring arg:(complex->real)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14e18>, <kernel.DependentProduct object at 0x1e14f80>) of role type named sy_c_Complex_Ocis
% 0.53/0.71 Using role type
% 0.53/0.71 Declaring cis:(real->complex)
% 0.53/0.71 FOF formula (<kernel.Constant object at 0x1e14cb0>, <kernel.DependentProduct object at 0x1e14fc8>) of role type named sy_c_Complex_Ocnj
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring cnj:(complex->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14b90>, <kernel.DependentProduct object at 0x1e14f80>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring complex2:(real->(real->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14f38>, <kernel.DependentProduct object at 0x1f96128>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring im:(complex->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14f80>, <kernel.DependentProduct object at 0x1f96050>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring re:(complex->real)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14b90>, <kernel.DependentProduct object at 0x1f960e0>) of role type named sy_c_Complex_Ocsqrt
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring csqrt:(complex->complex)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14ea8>, <kernel.Constant object at 0x1f960e0>) of role type named sy_c_Complex_Oimaginary__unit
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring imaginary_unit:complex
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14fc8>, <kernel.DependentProduct object at 0x1f96170>) of role type named sy_c_Complex_Orcis
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring rcis:(real->(real->complex))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14b90>, <kernel.DependentProduct object at 0x1f960e0>) of role type named sy_c_Countable_Onth__item__rel
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring nth_item_rel:(nat->(nat->Prop))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96200>, <kernel.DependentProduct object at 0x1f96248>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96050>, <kernel.DependentProduct object at 0x1f961b8>) of role type named sy_c_Deriv_Ohas__vector__derivative_001t__Real__Oreal
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring has_ve631408500373753343e_real:((real->real)->(real->(filter_real->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1e14b90>, <kernel.DependentProduct object at 0x1f963b0>) of role type named sy_c_Divides_Oadjust__div
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring adjust_div:(product_prod_int_int->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f961b8>, <kernel.DependentProduct object at 0x1f962d8>) of role type named sy_c_Divides_Oadjust__mod
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring adjust_mod:(int->(int->int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96368>, <kernel.DependentProduct object at 0x1f96200>) of role type named sy_c_Divides_Odivmod__nat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96320>, <kernel.DependentProduct object at 0x1f96368>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f961b8>, <kernel.DependentProduct object at 0x1f96050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96320>, <kernel.DependentProduct object at 0x1f96488>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96050>, <kernel.DependentProduct object at 0x1f96518>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96488>, <kernel.DependentProduct object at 0x1f96050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96518>, <kernel.DependentProduct object at 0x1f96488>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96050>, <kernel.DependentProduct object at 0x1f96518>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96488>, <kernel.DependentProduct object at 0x1f967e8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96518>, <kernel.DependentProduct object at 0x1f96488>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f967e8>, <kernel.DependentProduct object at 0x1f96518>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96488>, <kernel.DependentProduct object at 0x1f96050>) of role type named sy_c_Euclidean__Division_Oeuclidean__semiring__class_Oeuclidean__size_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring euclid4774559944035922753ze_int:(int->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96518>, <kernel.DependentProduct object at 0x1f96a28>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Int__Oint
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring euclid3395696857347342551nt_int:(int->int)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96050>, <kernel.DependentProduct object at 0x1f96ab8>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Nat__Onat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring euclid3398187327856392827nt_nat:(nat->nat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96830>, <kernel.DependentProduct object at 0x1f96b48>) of role type named sy_c_Extended__Nat_OeSuc
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extended_eSuc:(extended_enat->extended_enat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f969e0>, <kernel.DependentProduct object at 0x1f96b90>) of role type named sy_c_Extended__Nat_Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extended_enat2:(nat->extended_enat)
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96a70>, <kernel.DependentProduct object at 0x1f96ab8>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001_Eo
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extended_case_enat_o:((nat->Prop)->(Prop->(extended_enat->Prop)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f969e0>, <kernel.DependentProduct object at 0x1f96bd8>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extend3600170679010898289d_enat:((nat->extended_enat)->(extended_enat->(extended_enat->extended_enat)))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96ab8>, <kernel.Constant object at 0x1f96b90>) of role type named sy_c_Extended__Nat_Oinfinity__class_Oinfinity_001t__Extended____Nat__Oenat
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring extend5688581933313929465d_enat:extended_enat
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96bd8>, <kernel.DependentProduct object at 0x1f96ab8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.53/0.72 Using role type
% 0.53/0.72 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.53/0.72 FOF formula (<kernel.Constant object at 0x1f96b90>, <kernel.DependentProduct object at 0x1f96bd8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96ab8>, <kernel.DependentProduct object at 0x1f96b90>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96bd8>, <kernel.DependentProduct object at 0x1f96ab8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96b90>, <kernel.DependentProduct object at 0x1f96bd8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96ab8>, <kernel.DependentProduct object at 0x1f96b90>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96bd8>, <kernel.DependentProduct object at 0x1f98098>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96b90>, <kernel.DependentProduct object at 0x1f98170>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Onatural
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri2447717529341329178atural:(nat->code_natural)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96b90>, <kernel.DependentProduct object at 0x1f98200>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f96ef0>, <kernel.DependentProduct object at 0x1f98290>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98170>, <kernel.DependentProduct object at 0x1f98320>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98050>, <kernel.DependentProduct object at 0x1f983b0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98200>, <kernel.DependentProduct object at 0x1f98440>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98098>, <kernel.DependentProduct object at 0x1f984d0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98170>, <kernel.DependentProduct object at 0x1f98560>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inverse_inverse_rat:(rat->rat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f983b0>, <kernel.DependentProduct object at 0x1f985a8>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring inverse_inverse_real:(real->real)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98488>, <kernel.Constant object at 0x1f985a8>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring at_bot_real:filter_real
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98560>, <kernel.Constant object at 0x1f985a8>) of role type named sy_c_Filter_Oat__top_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring at_top_int:filter_int
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98200>, <kernel.Constant object at 0x1f985a8>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring at_top_nat:filter_nat
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98098>, <kernel.Constant object at 0x1f985a8>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring at_top_real:filter_real
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f985f0>, <kernel.DependentProduct object at 0x1f98200>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f985a8>, <kernel.DependentProduct object at 0x1f98098>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98200>, <kernel.DependentProduct object at 0x1f986c8>) of role type named sy_c_Filter_Ofilterlim_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filterlim_int_nat:((int->nat)->(filter_nat->(filter_int->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f987e8>, <kernel.DependentProduct object at 0x1f98758>) of role type named sy_c_Filter_Ofilterlim_001t__Int__Oint_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filterlim_int_real:((int->real)->(filter_real->(filter_int->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98878>, <kernel.DependentProduct object at 0x1f987a0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filterlim_nat_int:((nat->int)->(filter_int->(filter_nat->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f988c0>, <kernel.DependentProduct object at 0x1f98638>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98908>, <kernel.DependentProduct object at 0x1f985f0>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98950>, <kernel.DependentProduct object at 0x1f985a8>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98200>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98290>, <kernel.DependentProduct object at 0x1f988c0>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_card_o:(set_o->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f985f0>, <kernel.DependentProduct object at 0x1f98998>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_card_complex:(set_complex->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f988c0>, <kernel.DependentProduct object at 0x1f98a28>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_card_int:(set_int->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f985a8>, <kernel.DependentProduct object at 0x1f98a70>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f98290>, <kernel.DependentProduct object at 0x1f98ab8>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.53/0.73 Using role type
% 0.53/0.73 Declaring finite_card_nat:(set_nat->nat)
% 0.53/0.73 FOF formula (<kernel.Constant object at 0x1f985a8>, <kernel.DependentProduct object at 0x1f98b00>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.53/0.73 Using role type
% 0.53/0.74 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98b90>) of role type named sy_c_Finite__Set_Ocard_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring finite_card_real:(set_real->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98a70>, <kernel.DependentProduct object at 0x1f98bd8>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98c20>) of role type named sy_c_Finite__Set_Ocard_001t__VEBT____Definitions__OVEBT
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring finite7802652506058667612T_VEBT:(set_VEBT_VEBT->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98bd8>, <kernel.DependentProduct object at 0x1f98c68>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98cf8>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring finite_finite_int:(set_int->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98c20>, <kernel.DependentProduct object at 0x1f98d40>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring finite_finite_nat:(set_nat->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98bd8>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98e18>, <kernel.DependentProduct object at 0x1f98cf8>) of role type named sy_c_Fun_Obij__betw_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_betw_int_nat:((int->nat)->(set_int->(set_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98e60>) of role type named sy_c_Fun_Obij__betw_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be8532844293280997160at_nat:((list_nat->nat)->(set_list_nat->(set_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98f38>, <kernel.DependentProduct object at 0x1f98ea8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98ef0>, <kernel.DependentProduct object at 0x1f98e18>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_betw_nat_int:((nat->int)->(set_nat->(set_int->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98f38>, <kernel.DependentProduct object at 0x1f98fc8>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be6293887246118711976st_nat:((nat->list_nat)->(set_nat->(set_list_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98998>, <kernel.DependentProduct object at 0x1f98e60>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98f38>, <kernel.DependentProduct object at 0x1f98998>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be8693218025023041337at_nat:((nat->product_prod_nat_nat)->(set_nat->(set_Pr1261947904930325089at_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98f38>, <kernel.DependentProduct object at 0x1f9c098>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be4790990086886966983at_nat:((nat->sum_sum_nat_nat)->(set_nat->(set_Sum_sum_nat_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98f38>, <kernel.DependentProduct object at 0x1f9c0e0>) of role type named sy_c_Fun_Obij__betw_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be5333170631980326235at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->(set_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f98ef0>, <kernel.DependentProduct object at 0x1f9c128>) of role type named sy_c_Fun_Obij__betw_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring bij_be5432664580149595207at_nat:((sum_sum_nat_nat->nat)->(set_Sum_sum_nat_nat->(set_nat->Prop)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c2d8>, <kernel.DependentProduct object at 0x1f9c1b8>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c050>, <kernel.DependentProduct object at 0x1f9c200>) 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
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c128>, <kernel.DependentProduct object at 0x1f9c3f8>) of role type named sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_C3531382070062128313er_num:((code_integer->code_integer)->((num->code_integer)->(num->code_integer)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c368>, <kernel.DependentProduct object at 0x1f9c4d0>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_int_int_num:((int->int)->((num->int)->(num->int)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c560>, <kernel.DependentProduct object at 0x1f9c5a8>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c5f0>, <kernel.DependentProduct object at 0x1f9c320>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_int_real_real:((int->real)->((real->int)->(real->real)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c638>, <kernel.DependentProduct object at 0x1f9c050>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c680>, <kernel.DependentProduct object at 0x1f9c368>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Num__Onum_001t__Int__Oint
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring comp_nat_num_int:((nat->num)->((int->nat)->(int->num)))
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c6c8>, <kernel.DependentProduct object at 0x1f9c3b0>) of role type named sy_c_Fun_Oid_001_Eo
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring id_o:(Prop->Prop)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c518>, <kernel.DependentProduct object at 0x1f9c560>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.53/0.74 Using role type
% 0.53/0.74 Declaring id_nat:(nat->nat)
% 0.53/0.74 FOF formula (<kernel.Constant object at 0x1f9c368>, <kernel.DependentProduct object at 0x1f9c5f0>) of role type named sy_c_Fun_Oid_001t__Num__Onum
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring id_num:(num->num)
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c050>, <kernel.DependentProduct object at 0x1f9c5f0>) of role type named sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_int_nat:((int->nat)->(set_int->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c368>, <kernel.DependentProduct object at 0x1f9c488>) of role type named sy_c_Fun_Oinj__on_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_list_nat_nat:((list_nat->nat)->(set_list_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c5f0>, <kernel.DependentProduct object at 0x1f9c3b0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Int__Oint
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_nat_int:((nat->int)->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c488>, <kernel.DependentProduct object at 0x1f9c680>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_nat_list_nat:((nat->list_nat)->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c3b0>, <kernel.DependentProduct object at 0x1f9c518>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c488>, <kernel.DependentProduct object at 0x1f9c680>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on5538052773655684606at_nat:((nat->product_prod_nat_nat)->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c050>, <kernel.DependentProduct object at 0x1f9c368>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c488>, <kernel.DependentProduct object at 0x1f9c680>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on5701776251185195458at_nat:((nat->sum_sum_nat_nat)->(set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c368>, <kernel.DependentProduct object at 0x1f9c908>) of role type named sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on2178005380612969504at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c050>, <kernel.DependentProduct object at 0x1f9c8c0>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c908>, <kernel.DependentProduct object at 0x1f9c998>) of role type named sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on_set_nat_nat:((set_nat->nat)->(set_set_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c050>, <kernel.DependentProduct object at 0x1f9c8c0>) of role type named sy_c_Fun_Oinj__on_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring inj_on6343450744447823682at_nat:((sum_sum_nat_nat->nat)->(set_Sum_sum_nat_nat->Prop))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c998>, <kernel.DependentProduct object at 0x1f9c680>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.53/0.75 Using role type
% 0.53/0.75 Declaring map_fu8272188784021352819nteger:((code_integer->int)->(((int->int)->(code_integer->code_integer))->((int->(int->int))->(code_integer->(code_integer->code_integer)))))
% 0.53/0.75 FOF formula (<kernel.Constant object at 0x1f9c8c0>, <kernel.DependentProduct object at 0x1f9cc68>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu2599414010547811884nteger:((code_integer->int)->((int->code_integer)->((int->int)->(code_integer->code_integer))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9c680>, <kernel.DependentProduct object at 0x1f9cb48>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Nat__Onat_001t__Code____Numeral__Onatural
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu1051355602067684763atural:((code_integer->int)->((nat->code_natural)->((int->nat)->(code_integer->code_natural))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cc68>, <kernel.DependentProduct object at 0x1f9ce60>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu6539832666145259331at_nat:((code_integer->int)->((nat->nat)->((int->nat)->(code_integer->nat))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cb48>, <kernel.DependentProduct object at 0x1f9cef0>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu1227494855608507351um_num:((code_integer->int)->((num->num)->((int->num)->(code_integer->num))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9ce60>, <kernel.DependentProduct object at 0x1f9cc20>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Onatural_001t__Nat__Onat_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu6549440983881763648atural:((code_natural->nat)->(((nat->nat)->(code_natural->code_natural))->((nat->(nat->nat))->(code_natural->(code_natural->code_natural)))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cef0>, <kernel.DependentProduct object at 0x1f9cfc8>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Onatural_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu2787874002554666395nteger:((code_natural->nat)->((int->code_integer)->((nat->int)->(code_natural->code_integer))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cc20>, <kernel.DependentProduct object at 0x1f9cf38>) of role type named sy_c_Fun_Omap__fun_001t__Code____Numeral__Onatural_001t__Nat__Onat_001t__Nat__Onat_001t__Code____Numeral__Onatural
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu1239815594074539274atural:((code_natural->nat)->((nat->code_natural)->((nat->nat)->(code_natural->code_natural))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cfc8>, <kernel.DependentProduct object at 0x1f9cef0>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu434086159418415080_int_o:((int->product_prod_nat_nat)->(((product_prod_nat_nat->Prop)->(int->Prop))->((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(int->(int->Prop)))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cf38>, <kernel.DependentProduct object at 0x1f9ccf8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu4960017516451851995nt_int:((int->product_prod_nat_nat)->(((product_prod_nat_nat->product_prod_nat_nat)->(int->int))->((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(int->(int->int)))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cf38>, <kernel.DependentProduct object at 0x1f9f128>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cf38>, <kernel.DependentProduct object at 0x1f9f2d8>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9cfc8>, <kernel.DependentProduct object at 0x1f9f3b0>) of role type named sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f170>, <kernel.DependentProduct object at 0x1f9f440>) of role type named sy_c_Fun_Omap__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu6290471996055670595nteger:((nat->nat)->((int->code_integer)->((nat->int)->(nat->code_integer))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f290>, <kernel.DependentProduct object at 0x1f9f0e0>) of role type named sy_c_Fun_Omap__fun_001t__Num__Onum_001t__Num__Onum_001_062_It__Num__Onum_Mt__Int__Oint_J_001_062_It__Num__Onum_Mt__Code____Numeral__Ointeger_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu6891787308814931657nteger:((num->num)->(((num->int)->(num->code_integer))->((num->(num->int))->(num->(num->code_integer)))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f3f8>, <kernel.DependentProduct object at 0x1f9f488>) of role type named sy_c_Fun_Omap__fun_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu8638147718074629079nteger:((num->num)->((int->code_integer)->((num->int)->(num->code_integer))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f098>, <kernel.DependentProduct object at 0x1f9f488>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Rat__Orat_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu4333342158222067775at_rat:((rat->product_prod_int_int)->(((product_prod_int_int->product_prod_int_int)->(rat->rat))->((product_prod_int_int->(product_prod_int_int->product_prod_int_int))->(rat->(rat->rat)))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f3f8>, <kernel.DependentProduct object at 0x1f9f098>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001_Eo
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f488>, <kernel.DependentProduct object at 0x1f9f6c8>) of role type named sy_c_Fun_Omap__fun_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Rat__Orat
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu5673905371560938248nt_rat:((rat->product_prod_int_int)->((product_prod_int_int->rat)->((product_prod_int_int->product_prod_int_int)->(rat->rat))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f098>, <kernel.DependentProduct object at 0x1f9f3f8>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_I_062_It__Nat__Onat_Mt__Rat__Orat_J_M_062_It__Nat__Onat_Mt__Rat__Orat_J_J_001_062_It__Real__Oreal_Mt__Real__Oreal_J
% 0.53/0.76 Using role type
% 0.53/0.76 Declaring map_fu1532550112467129777l_real:((real->(nat->rat))->((((nat->rat)->(nat->rat))->(real->real))->(((nat->rat)->((nat->rat)->(nat->rat)))->(real->(real->real)))))
% 0.53/0.76 FOF formula (<kernel.Constant object at 0x1f9f6c8>, <kernel.DependentProduct object at 0x1f9f5a8>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring map_fu7146612038024189824t_real:((real->(nat->rat))->(((nat->rat)->real)->(((nat->rat)->(nat->rat))->(real->real))))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f3f8>, <kernel.DependentProduct object at 0x1f9f710>) of role type named sy_c_Fun_Omap__fun_001t__Real__Oreal_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001_Eo_001_Eo
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring map_fu1856342031159181835at_o_o:((real->(nat->rat))->((Prop->Prop)->(((nat->rat)->Prop)->(real->Prop))))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f5a8>, <kernel.DependentProduct object at 0x1f9f320>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f710>, <kernel.DependentProduct object at 0x1f9f950>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f368>, <kernel.DependentProduct object at 0x1f9f5a8>) of role type named sy_c_Fun__Def_Ois__measure_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring fun_is_measure_int:((int->nat)->Prop)
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f878>, <kernel.Constant object at 0x1f9f758>) of role type named sy_c_Fun__Def_Opair__leq
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring fun_pair_leq:set_Pr8693737435421807431at_nat
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f950>, <kernel.Constant object at 0x1f9f9e0>) of role type named sy_c_Fun__Def_Opair__less
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring fun_pair_less:set_Pr8693737435421807431at_nat
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f320>, <kernel.DependentProduct object at 0x1f9fa28>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_Gcd_int:(set_int->int)
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f5a8>, <kernel.DependentProduct object at 0x1f9fa70>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f758>, <kernel.DependentProduct object at 0x1f9fab8>) of role type named sy_c_GCD_OGcd__class_OLcm_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_Lcm_int:(set_int->int)
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f9e0>, <kernel.DependentProduct object at 0x1f9fb00>) of role type named sy_c_GCD_OGcd__class_OLcm_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_Lcm_nat:(set_nat->nat)
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9fa28>, <kernel.DependentProduct object at 0x1f9f758>) of role type named sy_c_GCD_Obezw
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9fb48>, <kernel.DependentProduct object at 0x1f9f9e0>) of role type named sy_c_GCD_Obezw__rel
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9f320>, <kernel.DependentProduct object at 0x1f9fa28>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9fb90>, <kernel.DependentProduct object at 0x1f9fb48>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_gcd_int:(int->(int->int))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9fc20>, <kernel.DependentProduct object at 0x1f9f320>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9fb00>, <kernel.DependentProduct object at 0x1f9fb90>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Code____Numeral__Ointeger
% 0.53/0.77 Using role type
% 0.53/0.77 Declaring gcd_lcm_Code_integer:(code_integer->(code_integer->code_integer))
% 0.53/0.77 FOF formula (<kernel.Constant object at 0x1f9fbd8>, <kernel.DependentProduct object at 0x1f9fc20>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring gcd_lcm_int:(int->(int->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fa70>, <kernel.DependentProduct object at 0x1f9fb00>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring gcd_lcm_nat:(nat->(nat->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fa28>, <kernel.DependentProduct object at 0x1f9fbd8>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fab8>, <kernel.DependentProduct object at 0x1f9fb48>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fc20>, <kernel.DependentProduct object at 0x1f9fe18>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring abs_abs_complex:(complex->complex)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fdd0>, <kernel.DependentProduct object at 0x1f9fe60>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring abs_abs_int:(int->int)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fbd8>, <kernel.DependentProduct object at 0x1f9fea8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring abs_abs_rat:(rat->rat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fb48>, <kernel.DependentProduct object at 0x1f9fef0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring abs_abs_real:(real->real)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fe18>, <kernel.DependentProduct object at 0x1f9ff38>) of role type named sy_c_Groups_Ocomm__monoid_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring comm_monoid_nat:((nat->(nat->nat))->(nat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fb48>, <kernel.DependentProduct object at 0x1f9fe18>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9ff38>, <kernel.DependentProduct object at 0x1f9fb48>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Onatural
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_7197305767214868737atural:(code_natural->(code_natural->code_natural))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fbd8>, <kernel.DependentProduct object at 0x1f9fdd0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9ff38>, <kernel.DependentProduct object at 0x1f9fb48>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fbd8>, <kernel.DependentProduct object at 0x1fa4170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_minus_int:(int->(int->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9ff38>, <kernel.DependentProduct object at 0x1fa4248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9fb48>, <kernel.DependentProduct object at 0x1fa4290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1f9ff38>, <kernel.DependentProduct object at 0x1fa4050>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring minus_minus_real:(real->(real->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x1fa4170>, <kernel.DependentProduct object at 0x1fa4320>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.77 Using role type
% 0.60/0.78 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1f9fb48>, <kernel.DependentProduct object at 0x1fa42d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4248>, <kernel.DependentProduct object at 0x1fa4170>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring minus_7954133019191499631st_nat:(set_list_nat->(set_list_nat->set_list_nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa43b0>, <kernel.DependentProduct object at 0x1fa42d8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa40e0>, <kernel.DependentProduct object at 0x1fa4248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa43b0>, <kernel.DependentProduct object at 0x1fa40e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4200>, <kernel.DependentProduct object at 0x1fa45a8>) of role type named sy_c_Groups_Omonoid_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring monoid_nat:((nat->(nat->nat))->(nat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa42d8>, <kernel.Constant object at 0x1fa4200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_Code_integer:code_integer
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4560>, <kernel.Constant object at 0x1fa4200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Onatural
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_Code_natural:code_natural
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa43b0>, <kernel.Constant object at 0x1fa4200>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_complex:complex
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4560>, <kernel.Constant object at 0x1fa45a8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa45f0>, <kernel.Constant object at 0x1fa45a8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_int:int
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4440>, <kernel.Constant object at 0x1fa45a8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_nat:nat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4680>, <kernel.Constant object at 0x1fa45a8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_rat:rat
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa46c8>, <kernel.Constant object at 0x1fa45a8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring one_one_real:real
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4680>, <kernel.DependentProduct object at 0x1fa46c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa45a8>, <kernel.DependentProduct object at 0x1fa4680>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Onatural
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_p4538020629002901425atural:(code_natural->(code_natural->code_natural))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4710>, <kernel.DependentProduct object at 0x1fa46c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa45a8>, <kernel.DependentProduct object at 0x1fa4710>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4998>, <kernel.DependentProduct object at 0x1fa46c8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_int:(int->(int->int))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4830>, <kernel.DependentProduct object at 0x1fa45a8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4a70>, <kernel.DependentProduct object at 0x1fa4998>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_num:(num->(num->num))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4680>, <kernel.DependentProduct object at 0x1fa4830>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4950>, <kernel.DependentProduct object at 0x1fa4a70>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_real:(real->(real->real))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4710>, <kernel.DependentProduct object at 0x1fa4680>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__String__Oliteral
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring plus_plus_literal:(literal->(literal->literal))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa46c8>, <kernel.DependentProduct object at 0x1fa45a8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4830>, <kernel.DependentProduct object at 0x1fa4998>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring sgn_sgn_complex:(complex->complex)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4a70>, <kernel.DependentProduct object at 0x1fa4c68>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring sgn_sgn_int:(int->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4680>, <kernel.DependentProduct object at 0x1fa4cb0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring sgn_sgn_rat:(rat->rat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa45a8>, <kernel.DependentProduct object at 0x1fa4cf8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring sgn_sgn_real:(real->real)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4680>, <kernel.DependentProduct object at 0x1fa45a8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4cf8>, <kernel.DependentProduct object at 0x1fa4680>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Onatural
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring times_2397367101498566445atural:(code_natural->(code_natural->code_natural))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4998>, <kernel.DependentProduct object at 0x1fa45a8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring times_times_complex:(complex->(complex->complex))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4cf8>, <kernel.DependentProduct object at 0x1fa4998>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x1fa4ea8>, <kernel.DependentProduct object at 0x1fa45a8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring times_times_int:(int->(int->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4d40>, <kernel.DependentProduct object at 0x1fa4cf8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring times_times_nat:(nat->(nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4f80>, <kernel.DependentProduct object at 0x1fa4ea8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring times_times_num:(num->(num->num))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4e60>, <kernel.DependentProduct object at 0x1fa4d40>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring times_times_rat:(rat->(rat->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4ea8>, <kernel.DependentProduct object at 0x1fa4cf8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring times_times_real:(real->(real->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4e60>, <kernel.DependentProduct object at 0x1fa70e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus1680532995456772888plex_o:((complex->Prop)->(complex->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4f38>, <kernel.DependentProduct object at 0x1fa7050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Int__Oint_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus_uminus_int_o:((int->Prop)->(int->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4f38>, <kernel.DependentProduct object at 0x1fa70e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__List__Olist_It__Nat__Onat_J_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus5770388063884162150_nat_o:((list_nat->Prop)->(list_nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4e60>, <kernel.DependentProduct object at 0x1fa7200>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Nat__Onat_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus_uminus_nat_o:((nat->Prop)->(nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa4f38>, <kernel.DependentProduct object at 0x1fa71b8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Real__Oreal_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus_uminus_real_o:((real->Prop)->(real->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7200>, <kernel.DependentProduct object at 0x1fa7128>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus6401447641752708672_nat_o:((set_nat->Prop)->(set_nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa70e0>, <kernel.DependentProduct object at 0x1fa7368>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7170>, <kernel.DependentProduct object at 0x1fa73f8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7200>, <kernel.DependentProduct object at 0x1fa7488>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus_uminus_int:(int->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7290>, <kernel.DependentProduct object at 0x1fa74d0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus_uminus_rat:(rat->rat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa73b0>, <kernel.DependentProduct object at 0x1fa7518>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus_uminus_real:(real->real)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7290>, <kernel.DependentProduct object at 0x1fa7560>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus8566677241136511917omplex:(set_complex->set_complex)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7518>, <kernel.DependentProduct object at 0x1fa75f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus1532241313380277803et_int:(set_int->set_int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7560>, <kernel.DependentProduct object at 0x1fa7680>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus3195874150345416415st_nat:(set_list_nat->set_list_nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa75f0>, <kernel.DependentProduct object at 0x1fa7710>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7680>, <kernel.DependentProduct object at 0x1fa77a0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Real__Oreal_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus612125837232591019t_real:(set_real->set_real)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7710>, <kernel.DependentProduct object at 0x1fa7830>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring uminus613421341184616069et_nat:(set_set_nat->set_set_nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa77a0>, <kernel.Constant object at 0x1fa7758>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_z3403309356797280102nteger:code_integer
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7830>, <kernel.Constant object at 0x1fa73f8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Onatural
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_z2226904508553997617atural:code_natural
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7878>, <kernel.Constant object at 0x1fa73f8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_zero_complex:complex
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7830>, <kernel.Constant object at 0x1fa77e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7950>, <kernel.Constant object at 0x1fa77e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_zero_int:int
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa79e0>, <kernel.Constant object at 0x1fa77e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_zero_nat:nat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a28>, <kernel.Constant object at 0x1fa77e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_zero_rat:rat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a70>, <kernel.Constant object at 0x1fa77e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_zero_real:real
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7ab8>, <kernel.Constant object at 0x1fa77e8>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__String__Oliteral
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring zero_zero_literal:literal
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a70>, <kernel.DependentProduct object at 0x1fa7b00>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa77e8>, <kernel.DependentProduct object at 0x1fa7ab8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7b00>, <kernel.DependentProduct object at 0x1fa7a70>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7ab8>, <kernel.DependentProduct object at 0x1fa77e8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a70>, <kernel.DependentProduct object at 0x1fa7b00>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa77e8>, <kernel.DependentProduct object at 0x1fa7ab8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7b00>, <kernel.DependentProduct object at 0x1fa7a70>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7ab8>, <kernel.DependentProduct object at 0x1fa77e8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a70>, <kernel.DependentProduct object at 0x1fa7908>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a70>, <kernel.DependentProduct object at 0x1faa098>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7a70>, <kernel.DependentProduct object at 0x1faa128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1fa7ab8>, <kernel.DependentProduct object at 0x1faa170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1faa200>, <kernel.DependentProduct object at 0x1faa248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups4396056296759096172at_nat:((list_nat->nat)->(set_list_nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1faa2d8>, <kernel.DependentProduct object at 0x1faa1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__List__Olist_It__Nat__Onat_J_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups8399112307953289288t_real:((list_nat->real)->(set_list_nat->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x1faa3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa3f8>, <kernel.DependentProduct object at 0x1faa368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa2d8>, <kernel.DependentProduct object at 0x1faa290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x1faa3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa3f8>, <kernel.DependentProduct object at 0x1faa368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa2d8>, <kernel.DependentProduct object at 0x1faa290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x1faa3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa3f8>, <kernel.DependentProduct object at 0x1faa368>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa2d8>, <kernel.DependentProduct object at 0x1faa290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x1faa3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa3f8>, <kernel.DependentProduct object at 0x1faa368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa2d8>, <kernel.DependentProduct object at 0x1faa290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x1faa3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa3f8>, <kernel.DependentProduct object at 0x1faa368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups3827104343326376752nteger:((int->code_integer)->(set_int->code_integer))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa2d8>, <kernel.DependentProduct object at 0x1faa290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x1faa3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x1faa0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x23b4098>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa290>, <kernel.DependentProduct object at 0x23b4128>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x1faa368>, <kernel.DependentProduct object at 0x23b4170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups3455450783089532116nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x23b4200>, <kernel.DependentProduct object at 0x23b4248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x23b42d8>, <kernel.DependentProduct object at 0x23b41b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x23b4290>, <kernel.DependentProduct object at 0x23b4200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x23b4368>, <kernel.DependentProduct object at 0x23b43f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4290>, <kernel.DependentProduct object at 0x23b42d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b43f8>, <kernel.DependentProduct object at 0x23b4368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b42d8>, <kernel.DependentProduct object at 0x23b4290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4368>, <kernel.DependentProduct object at 0x23b43f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4290>, <kernel.DependentProduct object at 0x23b42d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b43f8>, <kernel.DependentProduct object at 0x23b4368>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b42d8>, <kernel.DependentProduct object at 0x23b43f8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4368>, <kernel.DependentProduct object at 0x23b42d8>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups9119017779487936845_o_nat:((Prop->nat)->(nat->(list_o->nat)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b43f8>, <kernel.DependentProduct object at 0x23b4a70>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4320>, <kernel.DependentProduct object at 0x23b4ab8>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring the_int:((int->Prop)->int)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b42d8>, <kernel.DependentProduct object at 0x23b43f8>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring the_Pr4378521158711661632nt_int:((product_prod_int_int->Prop)->product_prod_int_int)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4998>, <kernel.DependentProduct object at 0x23b4b90>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring the_real:((real->Prop)->real)
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4200>, <kernel.DependentProduct object at 0x23b4bd8>) of role type named sy_c_If_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring if_nat_rat:(Prop->((nat->rat)->((nat->rat)->(nat->rat))))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b42d8>, <kernel.DependentProduct object at 0x23b4bd8>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.60/0.81 Using role type
% 0.60/0.81 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.60/0.81 FOF formula (<kernel.Constant object at 0x23b4998>, <kernel.DependentProduct object at 0x23b4bd8>) of role type named sy_c_If_001t__Code____Numeral__Onatural
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Code_natural:(Prop->(code_natural->(code_natural->code_natural)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b49e0>, <kernel.DependentProduct object at 0x23b4b90>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4c20>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4320>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_int:(Prop->(int->(int->int)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4cf8>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4dd0>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4e18>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4e60>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__Num__Onum
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_num:(Prop->(num->(num->num)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4ea8>, <kernel.DependentProduct object at 0x23b49e0>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4e60>, <kernel.DependentProduct object at 0x23b4c20>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b49e0>, <kernel.DependentProduct object at 0x23b4998>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4c20>, <kernel.DependentProduct object at 0x23b4d40>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4998>, <kernel.DependentProduct object at 0x23b4ea8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4c20>, <kernel.DependentProduct object at 0x239b050>) of role type named sy_c_If_001t__Rat__Orat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4d40>, <kernel.DependentProduct object at 0x239b0e0>) of role type named sy_c_If_001t__Real__Oreal
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_real:(Prop->(real->(real->real)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4998>, <kernel.DependentProduct object at 0x239b050>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4d40>, <kernel.DependentProduct object at 0x239b050>) of role type named sy_c_If_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring if_Sum_sum_nat_nat:(Prop->(sum_sum_nat_nat->(sum_sum_nat_nat->sum_sum_nat_nat)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b248>, <kernel.DependentProduct object at 0x239b170>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4d40>, <kernel.DependentProduct object at 0x239b098>) of role type named sy_c_Int_OAbs__Integ
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x23b4d40>, <kernel.DependentProduct object at 0x239b320>) of role type named sy_c_Int_ONeg
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring neg:(num->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b128>, <kernel.DependentProduct object at 0x239b368>) of role type named sy_c_Int_OPos
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring pos:(num->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b170>, <kernel.DependentProduct object at 0x239b3b0>) of role type named sy_c_Int_ORep__Integ
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b098>, <kernel.DependentProduct object at 0x239b128>) of role type named sy_c_Int_Ocr__int
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring cr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b290>, <kernel.DependentProduct object at 0x239b3f8>) of role type named sy_c_Int_Odup
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring dup:(int->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b200>, <kernel.DependentProduct object at 0x239b290>) of role type named sy_c_Int_Oint__ge__less__than
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b368>, <kernel.DependentProduct object at 0x239b3f8>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b440>, <kernel.DependentProduct object at 0x239b098>) of role type named sy_c_Int_Ointrel
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b290>, <kernel.DependentProduct object at 0x239b4d0>) of role type named sy_c_Int_Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring nat2:(int->nat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b3b0>, <kernel.DependentProduct object at 0x239b440>) of role type named sy_c_Int_Opcr__int
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b560>, <kernel.DependentProduct object at 0x239b290>) of role type named sy_c_Int_Opower__int_001t__Complex__Ocomplex
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring power_int_complex:(complex->(int->complex))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b5a8>, <kernel.DependentProduct object at 0x239b3b0>) of role type named sy_c_Int_Opower__int_001t__Rat__Orat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring power_int_rat:(rat->(int->rat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b638>, <kernel.DependentProduct object at 0x239b560>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring power_int_real:(real->(int->real))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b5a8>, <kernel.Constant object at 0x239b290>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Code____Numeral__Ointeger
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_11222124179247155820nteger:set_Code_integer
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b3b0>, <kernel.Constant object at 0x239b290>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_Ints_complex:set_complex
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b710>, <kernel.Constant object at 0x239b290>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_Ints_int:set_int
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b4d0>, <kernel.Constant object at 0x239b290>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Rat__Orat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_Ints_rat:set_rat
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b440>, <kernel.Constant object at 0x239b290>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_Ints_real:set_real
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b4d0>, <kernel.DependentProduct object at 0x239b878>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b290>, <kernel.DependentProduct object at 0x239b908>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b758>, <kernel.DependentProduct object at 0x239b998>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_of_int_int:(int->int)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b830>, <kernel.DependentProduct object at 0x239b9e0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_of_int_rat:(int->rat)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b8c0>, <kernel.DependentProduct object at 0x239ba28>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring ring_1_of_int_real:(int->real)
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b908>, <kernel.DependentProduct object at 0x239b830>) of role type named sy_c_Int_Osub
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring sub:(num->(num->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239ba70>, <kernel.DependentProduct object at 0x239b8c0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring inf_inf_int:(int->(int->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239bab8>, <kernel.DependentProduct object at 0x239b908>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239ba70>, <kernel.DependentProduct object at 0x239b830>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b908>, <kernel.DependentProduct object at 0x239bab8>) of role type named sy_c_Lattices_Osemilattice__neutr_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semila9081495762789891438tr_nat:((nat->(nat->nat))->(nat->Prop))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239b830>, <kernel.DependentProduct object at 0x239ba28>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239bab8>, <kernel.DependentProduct object at 0x239bd88>) of role type named sy_c_Lattices_Osemilattice__order_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring semila1248733672344298208er_nat:((nat->(nat->nat))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop)))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239bb90>, <kernel.DependentProduct object at 0x239ba28>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring sup_sup_int:(int->(int->int))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239bd40>, <kernel.DependentProduct object at 0x239bab8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.60/0.82 FOF formula (<kernel.Constant object at 0x239bc68>, <kernel.DependentProduct object at 0x239bb90>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.82 Using role type
% 0.60/0.82 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bd40>, <kernel.DependentProduct object at 0x239ba28>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring sup_su6327502436637775413at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bb90>, <kernel.DependentProduct object at 0x239bc68>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239ba28>, <kernel.DependentProduct object at 0x239bf80>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bc68>, <kernel.DependentProduct object at 0x239bea8>) of role type named sy_c_Lattices__Big_Osemilattice__neutr__set_OF_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring lattic7826324295020591184_F_nat:((nat->(nat->nat))->(nat->(set_nat->nat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bf80>, <kernel.DependentProduct object at 0x239c050>) of role type named sy_c_Lifting_OQuotient_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring quotie3684837364556693515t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->real)->((real->(nat->rat))->(((nat->rat)->(real->Prop))->Prop))))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bea8>, <kernel.DependentProduct object at 0x239c290>) of role type named sy_c_Lifting_OQuotient_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring quotie1194848508323700631at_int:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->int)->((int->product_prod_nat_nat)->((product_prod_nat_nat->(int->Prop))->Prop))))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bf80>, <kernel.DependentProduct object at 0x239c290>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bfc8>, <kernel.DependentProduct object at 0x239c098>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring append_int:(list_int->(list_int->list_int))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bea8>, <kernel.DependentProduct object at 0x239c128>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bb90>, <kernel.DependentProduct object at 0x239c050>) of role type named sy_c_List_Ocount__list_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring count_list_complex:(list_complex->(complex->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239bb90>, <kernel.DependentProduct object at 0x239c368>) of role type named sy_c_List_Ocount__list_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring count_list_int:(list_int->(int->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c170>, <kernel.DependentProduct object at 0x239c320>) of role type named sy_c_List_Ocount__list_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring count_list_nat:(list_nat->(nat->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c128>, <kernel.DependentProduct object at 0x239c248>) of role type named sy_c_List_Ocount__list_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring count_list_real:(list_real->(real->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c290>, <kernel.DependentProduct object at 0x239c170>) of role type named sy_c_List_Ocount__list_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring count_list_set_nat:(list_set_nat->(set_nat->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c1b8>, <kernel.DependentProduct object at 0x239c128>) of role type named sy_c_List_Ocount__list_001t__VEBT____Definitions__OVEBT
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring count_list_VEBT_VEBT:(list_VEBT_VEBT->(vEBT_VEBT->nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c0e0>, <kernel.DependentProduct object at 0x239c1b8>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c320>, <kernel.DependentProduct object at 0x239c560>) of role type named sy_c_List_Ofold_001t__Int__Oint_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring fold_int_int:((int->(int->int))->(list_int->(int->int)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c518>, <kernel.DependentProduct object at 0x239c170>) of role type named sy_c_List_Ofold_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring fold_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c050>, <kernel.DependentProduct object at 0x239c638>) of role type named sy_c_List_Olast_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring last_nat:(list_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c320>, <kernel.DependentProduct object at 0x239c518>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c128>, <kernel.DependentProduct object at 0x239c050>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring cons_int:(int->(list_int->list_int))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c560>, <kernel.DependentProduct object at 0x239c320>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c680>, <kernel.Constant object at 0x239c320>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nil_int:list_int
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c050>, <kernel.Constant object at 0x239c320>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring nil_nat:list_nat
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c5f0>, <kernel.DependentProduct object at 0x239c7a0>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring hd_nat:(list_nat->nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c710>, <kernel.DependentProduct object at 0x239c7a0>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c320>, <kernel.DependentProduct object at 0x239c680>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring map_VE8901447254227204932T_VEBT:((vEBT_VEBT->vEBT_VEBT)->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c710>, <kernel.DependentProduct object at 0x239c5f0>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring set_o2:(list_o->set_o)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c050>, <kernel.DependentProduct object at 0x239c8c0>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring set_complex2:(list_complex->set_complex)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c098>, <kernel.DependentProduct object at 0x239c908>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring set_int2:(list_int->set_int)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c680>, <kernel.DependentProduct object at 0x239c950>) of role type named sy_c_List_Olist_Oset_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring set_list_nat2:(list_list_nat->set_list_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c5f0>, <kernel.DependentProduct object at 0x239c998>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring set_nat2:(list_nat->set_nat)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c8c0>, <kernel.DependentProduct object at 0x239c9e0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.60/0.83 Using role type
% 0.60/0.83 Declaring set_real2:(list_real->set_real)
% 0.60/0.83 FOF formula (<kernel.Constant object at 0x239c908>, <kernel.DependentProduct object at 0x239ca28>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c950>, <kernel.DependentProduct object at 0x239ca70>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c998>, <kernel.DependentProduct object at 0x239c9e0>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c170>, <kernel.DependentProduct object at 0x239c5f0>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring tl_nat:(list_nat->list_nat)
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239cab8>, <kernel.DependentProduct object at 0x239c950>) of role type named sy_c_List_Onth_001_Eo
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_o:(list_o->(nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ca28>, <kernel.DependentProduct object at 0x239c9e0>) of role type named sy_c_List_Onth_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Code_integer:(list_Code_integer->(nat->code_integer))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c998>, <kernel.DependentProduct object at 0x239cab8>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_complex:(list_complex->(nat->complex))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c908>, <kernel.DependentProduct object at 0x239c998>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_int:(list_int->(nat->int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239cbd8>, <kernel.DependentProduct object at 0x239cab8>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_nat:(list_nat->(nat->nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ccb0>, <kernel.DependentProduct object at 0x239ca28>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c908>, <kernel.DependentProduct object at 0x239ccb0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr1649062631805364268_o_int:(list_P3795440434834930179_o_int->(nat->product_prod_o_int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ca28>, <kernel.DependentProduct object at 0x239c908>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ccb0>, <kernel.DependentProduct object at 0x239ca28>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c908>, <kernel.DependentProduct object at 0x239ccb0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr8522763379788166057eger_o:(list_P8526636022914148096eger_o->(nat->produc6271795597528267376eger_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ca28>, <kernel.DependentProduct object at 0x239c908>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr2304437835452373666nteger:(list_P5578671422887162913nteger->(nat->produc8923325533196201883nteger))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ccb0>, <kernel.DependentProduct object at 0x239ca28>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c908>, <kernel.DependentProduct object at 0x239f050>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Int__Oint_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr6837108013167703752BT_int:(list_P4547456442757143711BT_int->(nat->produc4894624898956917775BT_int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ca28>, <kernel.DependentProduct object at 0x239f128>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ca28>, <kernel.DependentProduct object at 0x239f1b8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ce18>, <kernel.DependentProduct object at 0x239f050>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_real:(list_real->(nat->real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239c998>, <kernel.DependentProduct object at 0x239f098>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239ce18>, <kernel.DependentProduct object at 0x239f320>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f2d8>, <kernel.DependentProduct object at 0x239f290>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f3b0>, <kernel.DependentProduct object at 0x239f248>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f3f8>, <kernel.DependentProduct object at 0x239f320>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f098>, <kernel.DependentProduct object at 0x239f3b0>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f3f8>, <kernel.DependentProduct object at 0x239f098>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001_Eo
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring produc3607205314601156340eger_o:(list_Code_integer->(list_o->list_P8526636022914148096eger_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f3b0>, <kernel.DependentProduct object at 0x239f3f8>) of role type named sy_c_List_Oproduct_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring produc8792966785426426881nteger:(list_Code_integer->(list_Code_integer->list_P5578671422887162913nteger))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f518>, <kernel.DependentProduct object at 0x239f098>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f3b0>, <kernel.DependentProduct object at 0x239f518>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring produc7292646706713671643BT_int:(list_VEBT_VEBT->(list_int->list_P4547456442757143711BT_int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f098>, <kernel.DependentProduct object at 0x239f3b0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f518>, <kernel.DependentProduct object at 0x239f098>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f710>, <kernel.DependentProduct object at 0x239f5f0>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_o:(nat->(Prop->list_o))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f758>, <kernel.DependentProduct object at 0x239f518>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f3b0>, <kernel.DependentProduct object at 0x239f710>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_int:(nat->(int->list_int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f7e8>, <kernel.DependentProduct object at 0x239f758>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f488>, <kernel.DependentProduct object at 0x239f3b0>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_real:(nat->(real->list_real))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f098>, <kernel.DependentProduct object at 0x239f7e8>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f5f0>, <kernel.DependentProduct object at 0x239f488>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f518>, <kernel.DependentProduct object at 0x239f5a8>) of role type named sy_c_List_Osorted__wrt_001t__Int__Oint
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sorted_wrt_int:((int->(int->Prop))->(list_int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f488>, <kernel.DependentProduct object at 0x239f998>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f128>, <kernel.DependentProduct object at 0x239f488>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239fa28>, <kernel.DependentProduct object at 0x239f518>) of role type named sy_c_List_Otake_001t__VEBT____Definitions__OVEBT
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring take_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239fab8>, <kernel.DependentProduct object at 0x239f998>) of role type named sy_c_List_Oupt
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring upt:(nat->(nat->list_nat))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239fa70>, <kernel.DependentProduct object at 0x239fa28>) of role type named sy_c_List_Oupto
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring upto:(int->(int->list_int))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f488>, <kernel.DependentProduct object at 0x239fab8>) of role type named sy_c_List_Oupto__aux
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239f758>, <kernel.DependentProduct object at 0x239fa70>) of role type named sy_c_List_Oupto__rel
% 0.60/0.84 Using role type
% 0.60/0.84 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.60/0.84 FOF formula (<kernel.Constant object at 0x239fb90>, <kernel.DependentProduct object at 0x239f710>) of role type named sy_c_Nat_OSuc
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring suc:(nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fa28>, <kernel.DependentProduct object at 0x239fc68>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239f5a8>, <kernel.DependentProduct object at 0x239fcf8>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239f758>, <kernel.DependentProduct object at 0x239fcb0>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fbd8>, <kernel.DependentProduct object at 0x239fb90>) of role type named sy_c_Nat_Onat_Opred
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring pred:(nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239f710>, <kernel.Constant object at 0x239fb90>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiring_1_Nats_int:set_int
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fbd8>, <kernel.DependentProduct object at 0x239fd40>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fb90>, <kernel.DependentProduct object at 0x239fdd0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Onatural
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri3763490453095760265atural:(nat->code_natural)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fd40>, <kernel.DependentProduct object at 0x239fe60>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fdd0>, <kernel.DependentProduct object at 0x239fef0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fe60>, <kernel.DependentProduct object at 0x239ff80>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fef0>, <kernel.DependentProduct object at 0x23a2050>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239ff80>, <kernel.DependentProduct object at 0x23a20e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fcb0>, <kernel.DependentProduct object at 0x23a2170>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_list_o:(list_o->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fcb0>, <kernel.DependentProduct object at 0x23a21b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Code____Numeral__Ointeger_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_s3445333598471063425nteger:(list_Code_integer->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fe60>, <kernel.DependentProduct object at 0x23a2248>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239fcb0>, <kernel.DependentProduct object at 0x23a22d8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_list_int:(list_int->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2248>, <kernel.DependentProduct object at 0x23a2320>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__List__Olist_It__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_s3023201423986296836st_nat:(list_list_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x239ff80>, <kernel.DependentProduct object at 0x23a23b0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_list_nat:(list_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2320>, <kernel.DependentProduct object at 0x23a23f8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_list_real:(list_real->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a22d8>, <kernel.DependentProduct object at 0x23a2440>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a23f8>, <kernel.DependentProduct object at 0x23a24d0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a21b8>, <kernel.DependentProduct object at 0x23a2560>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_num:(num->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a20e0>, <kernel.DependentProduct object at 0x23a25a8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_option_num:(option_num->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a21b8>, <kernel.DependentProduct object at 0x23a25f0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2560>, <kernel.DependentProduct object at 0x23a2680>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_char:(char->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2440>, <kernel.DependentProduct object at 0x23a26c8>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2098>, <kernel.DependentProduct object at 0x23a2758>) of role type named sy_c_Nat__Bijection_Oint__decode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_int_decode:(nat->int)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a23f8>, <kernel.DependentProduct object at 0x23a27a0>) of role type named sy_c_Nat__Bijection_Oint__encode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_int_encode:(int->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2680>, <kernel.DependentProduct object at 0x23a27e8>) of role type named sy_c_Nat__Bijection_Olist__decode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_list_decode:(nat->list_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a25f0>, <kernel.DependentProduct object at 0x23a2560>) of role type named sy_c_Nat__Bijection_Olist__decode__rel
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_list_decode_rel:(nat->(nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a25a8>, <kernel.DependentProduct object at 0x23a2878>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_list_encode:(list_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2680>, <kernel.DependentProduct object at 0x23a23f8>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a27a0>, <kernel.DependentProduct object at 0x23a2908>) of role type named sy_c_Nat__Bijection_Oprod__decode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_prod_decode:(nat->product_prod_nat_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a25a8>, <kernel.DependentProduct object at 0x23a2560>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a23f8>, <kernel.DependentProduct object at 0x23a25a8>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2758>, <kernel.DependentProduct object at 0x23a2a28>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a27e8>, <kernel.DependentProduct object at 0x23a2a70>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_set_decode:(nat->set_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2680>, <kernel.DependentProduct object at 0x23a2ab8>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_set_encode:(set_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2908>, <kernel.DependentProduct object at 0x23a2b00>) of role type named sy_c_Nat__Bijection_Osum__decode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_sum_decode:(nat->sum_sum_nat_nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a27a0>, <kernel.DependentProduct object at 0x23a2b48>) of role type named sy_c_Nat__Bijection_Osum__encode
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_sum_encode:(sum_sum_nat_nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2a28>, <kernel.DependentProduct object at 0x23a2b90>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_triangle:(nat->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2ab8>, <kernel.DependentProduct object at 0x23a2560>) of role type named sy_c_NthRoot_Oroot
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring root:(nat->(real->real))
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2908>, <kernel.DependentProduct object at 0x23a2bd8>) of role type named sy_c_NthRoot_Osqrt
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring sqrt:(real->real)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2b00>, <kernel.DependentProduct object at 0x23a2b90>) of role type named sy_c_Num_OBitM
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring bitM:(num->num)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2a28>, <kernel.DependentProduct object at 0x23a2c68>) of role type named sy_c_Num_Oinc
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring inc:(num->num)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2560>, <kernel.DependentProduct object at 0x23a2cb0>) of role type named sy_c_Num_Onat__of__num
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring nat_of_num:(num->nat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2a28>, <kernel.DependentProduct object at 0x23a2cf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2cb0>, <kernel.DependentProduct object at 0x23a2d88>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2bd8>, <kernel.DependentProduct object at 0x23a2e18>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring neg_numeral_dbl_int:(int->int)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2b00>, <kernel.DependentProduct object at 0x23a2e60>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2d40>, <kernel.DependentProduct object at 0x23a2ea8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring neg_numeral_dbl_real:(real->real)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2b00>, <kernel.DependentProduct object at 0x23a2ef0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.60/0.85 Using role type
% 0.60/0.85 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.60/0.85 FOF formula (<kernel.Constant object at 0x23a2ea8>, <kernel.DependentProduct object at 0x23a2f80>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a2ef0>, <kernel.DependentProduct object at 0x23a5050>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a2f80>, <kernel.DependentProduct object at 0x23a50e0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a2f38>, <kernel.DependentProduct object at 0x23a5170>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a2f38>, <kernel.DependentProduct object at 0x23a5200>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a2d88>, <kernel.DependentProduct object at 0x23a5290>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5170>, <kernel.DependentProduct object at 0x23a5320>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5050>, <kernel.DependentProduct object at 0x23a53b0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5200>, <kernel.DependentProduct object at 0x23a5440>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5170>, <kernel.DependentProduct object at 0x23a50e0>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a54d0>, <kernel.DependentProduct object at 0x23a5518>) of role type named sy_c_Num_Onum_OBit0
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring bit0:(num->num)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a53b0>, <kernel.DependentProduct object at 0x23a5440>) of role type named sy_c_Num_Onum_OBit1
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring bit1:(num->num)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5200>, <kernel.Constant object at 0x23a5440>) of role type named sy_c_Num_Onum_OOne
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring one:num
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5518>, <kernel.DependentProduct object at 0x23a55f0>) of role type named sy_c_Num_Onum_Osize__num
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring size_num:(num->nat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a50e0>, <kernel.DependentProduct object at 0x23a5638>) of role type named sy_c_Num_Onum__of__nat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring num_of_nat:(nat->num)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5518>, <kernel.DependentProduct object at 0x23a5680>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5638>, <kernel.DependentProduct object at 0x23a5710>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Onatural
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numera5444537566228673987atural:(num->code_natural)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5680>, <kernel.DependentProduct object at 0x23a57a0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numera6690914467698888265omplex:(num->complex)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5710>, <kernel.DependentProduct object at 0x23a5830>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5050>, <kernel.DependentProduct object at 0x23a58c0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numeral_numeral_int:(num->int)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5758>, <kernel.DependentProduct object at 0x23a5908>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numeral_numeral_nat:(num->nat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a57e8>, <kernel.DependentProduct object at 0x23a5950>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numeral_numeral_rat:(num->rat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5830>, <kernel.DependentProduct object at 0x23a5998>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring numeral_numeral_real:(num->real)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a58c0>, <kernel.DependentProduct object at 0x23a57e8>) of role type named sy_c_Num_Opow
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring pow:(num->(num->num))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a59e0>, <kernel.DependentProduct object at 0x23a5a28>) of role type named sy_c_Num_Opred__numeral
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring pred_numeral:(num->nat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5950>, <kernel.DependentProduct object at 0x23a5908>) of role type named sy_c_Num_Osqr
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring sqr:(num->num)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5998>, <kernel.Constant object at 0x23a5908>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring none_num:option_num
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5950>, <kernel.Constant object at 0x23a5a28>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a58c0>, <kernel.DependentProduct object at 0x23a5b90>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring some_num:(num->option_num)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5950>, <kernel.DependentProduct object at 0x23a58c0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5b90>, <kernel.DependentProduct object at 0x23a5c68>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5cb0>, <kernel.DependentProduct object at 0x23a5d88>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5d40>, <kernel.DependentProduct object at 0x23a5dd0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5cb0>, <kernel.DependentProduct object at 0x23a5950>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.60/0.86 FOF formula (<kernel.Constant object at 0x23a5e60>, <kernel.DependentProduct object at 0x23a5bd8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.60/0.86 Using role type
% 0.60/0.86 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5cb0>, <kernel.DependentProduct object at 0x23a5e18>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5dd0>, <kernel.DependentProduct object at 0x23a5bd8>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5cb0>, <kernel.DependentProduct object at 0x23a5e18>) of role type named sy_c_Order__Relation_Owell__order__on_001t__Nat__Onat
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring order_2888998067076097458on_nat:(set_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5f80>, <kernel.DependentProduct object at 0x23a5dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_Eo_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_nat_o:(nat->Prop)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5bd8>, <kernel.Constant object at 0x23a5dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_nat:nat
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5e18>, <kernel.Constant object at 0x23a5dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_complex:set_complex
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5b90>, <kernel.Constant object at 0x23a5dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_int:set_int
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5fc8>, <kernel.Constant object at 0x23a5dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_list_nat:set_list_nat
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5e18>, <kernel.Constant object at 0x23a5950>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_nat:set_nat
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5b90>, <kernel.Constant object at 0x23b7050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_num:set_num
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5e18>, <kernel.Constant object at 0x23b70e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_rat:set_rat
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5b90>, <kernel.Constant object at 0x23b70e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_real:set_real
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23a5e18>, <kernel.Constant object at 0x23b70e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bot_set_set_nat:set_set_nat
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23b7098>, <kernel.Constant object at 0x23b7050>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.DependentProduct object at 0x23b7368>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23b7128>, <kernel.DependentProduct object at 0x23b73b0>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Real__Oreal
% 0.69/0.86 Using role type
% 0.69/0.86 Declaring ord_Least_real:((real->Prop)->real)
% 0.69/0.86 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.DependentProduct object at 0x23b7128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b73b0>, <kernel.DependentProduct object at 0x23b7200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Onatural
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le5570908160329646204atural:(code_natural->(code_natural->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7128>, <kernel.DependentProduct object at 0x23b73b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b74d0>, <kernel.DependentProduct object at 0x23b7200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_int:(int->(int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.DependentProduct object at 0x23b7128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b72d8>, <kernel.DependentProduct object at 0x23b74d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_num:(num->(num->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7440>, <kernel.DependentProduct object at 0x23b7560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b73b0>, <kernel.DependentProduct object at 0x23b72d8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_real:(real->(real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.DependentProduct object at 0x23b7440>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7128>, <kernel.DependentProduct object at 0x23b73b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b74d0>, <kernel.DependentProduct object at 0x23b7200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.DependentProduct object at 0x23b7128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b72d8>, <kernel.DependentProduct object at 0x23b74d0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7440>, <kernel.DependentProduct object at 0x23b7560>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b72d8>, <kernel.DependentProduct object at 0x23b7440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.DependentProduct object at 0x23b72d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Onatural
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le1926595141338095240atural:(code_natural->(code_natural->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7440>, <kernel.DependentProduct object at 0x23b7560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7998>, <kernel.DependentProduct object at 0x23b72d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7a28>, <kernel.DependentProduct object at 0x23b7440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.DependentProduct object at 0x23b7998>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7908>, <kernel.DependentProduct object at 0x23b7a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.DependentProduct object at 0x23b7200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7908>, <kernel.DependentProduct object at 0x23b7560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7440>, <kernel.DependentProduct object at 0x23b7200>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7c20>, <kernel.DependentProduct object at 0x23b7908>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7a28>, <kernel.DependentProduct object at 0x23b7440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b72d8>, <kernel.DependentProduct object at 0x23b7c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7a28>, <kernel.DependentProduct object at 0x23b72d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7c20>, <kernel.DependentProduct object at 0x23b7a28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7dd0>, <kernel.DependentProduct object at 0x23b72d8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_max_int:(int->(int->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7ea8>, <kernel.DependentProduct object at 0x23b7c20>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_max_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7ef0>, <kernel.DependentProduct object at 0x23b7dd0>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_min_int:(int->(int->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.DependentProduct object at 0x23b7ea8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ord_min_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.DependentProduct object at 0x23b7a28>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.DependentProduct object at 0x23b7ef0>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7c20>, <kernel.DependentProduct object at 0x23b7a28>) of role type named sy_c_Orderings_Oordering__top_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring ordering_top_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->(nat->Prop)))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b72d8>, <kernel.Constant object at 0x23b7a28>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_int:set_int
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7560>, <kernel.Constant object at 0x23b7200>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_list_nat:set_list_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7c20>, <kernel.Constant object at 0x23ba098>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_nat:set_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.Constant object at 0x23ba128>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_to4669805908274784177at_nat:set_Pr1261947904930325089at_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba098>, <kernel.Constant object at 0x23ba0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.Constant object at 0x23ba0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_real:set_real
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23b7200>, <kernel.Constant object at 0x23ba0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_top_set_char:set_char
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba248>, <kernel.Constant object at 0x23ba170>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring top_to6661820994512907621at_nat:set_Sum_sum_nat_nat
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba0e0>, <kernel.DependentProduct object at 0x23ba248>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba170>, <kernel.DependentProduct object at 0x23ba0e0>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Onatural
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_7079662738309270450atural:(code_natural->(nat->code_natural))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba2d8>, <kernel.DependentProduct object at 0x23ba248>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_complex:(complex->(nat->complex))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba440>, <kernel.DependentProduct object at 0x23ba170>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_int:(int->(nat->int))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba5a8>, <kernel.DependentProduct object at 0x23ba2d8>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.69/0.87 Using role type
% 0.69/0.87 Declaring power_power_nat:(nat->(nat->nat))
% 0.69/0.87 FOF formula (<kernel.Constant object at 0x23ba3b0>, <kernel.DependentProduct object at 0x23ba440>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring power_power_rat:(rat->(nat->rat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba4d0>, <kernel.DependentProduct object at 0x23ba5a8>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring power_power_real:(real->(nat->real))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba0e0>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba560>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_Pair_o_int:(Prop->(int->product_prod_o_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba5a8>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba560>, <kernel.DependentProduct object at 0x23ba2d8>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba710>, <kernel.DependentProduct object at 0x23ba878>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba2d8>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba878>, <kernel.DependentProduct object at 0x23ba2d8>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Onatural_001t__Code____Numeral__Onatural
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc3574140220909816553atural:(code_natural->(code_natural->produc7822875418678951345atural))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba710>, <kernel.DependentProduct object at 0x23ba908>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Onatural_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6639722614265839536atural:(code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23baa28>, <kernel.DependentProduct object at 0x23ba2d8>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba878>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23baa28>, <kernel.DependentProduct object at 0x23ba878>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6161850002892822231at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc859450856879609959at_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba710>, <kernel.DependentProduct object at 0x23babd8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba878>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Extended____Nat__Oenat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc581526299967858633d_enat:(vEBT_VEBT->(extended_enat->produc7272778201969148633d_enat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23babd8>, <kernel.DependentProduct object at 0x23ba878>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc736041933913180425BT_int:(vEBT_VEBT->(int->produc4894624898956917775BT_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba710>, <kernel.DependentProduct object at 0x23babd8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba878>, <kernel.DependentProduct object at 0x23ba710>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23babd8>, <kernel.DependentProduct object at 0x23baef0>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23ba710>, <kernel.DependentProduct object at 0x23bacf8>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23baef0>, <kernel.DependentProduct object at 0x23bac20>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bacf8>, <kernel.DependentProduct object at 0x23baf38>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bac20>, <kernel.DependentProduct object at 0x23bc170>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23baf38>, <kernel.DependentProduct object at 0x23bc050>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23baf38>, <kernel.DependentProduct object at 0x23bc050>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23baef0>, <kernel.DependentProduct object at 0x23bc098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc170>, <kernel.DependentProduct object at 0x23bc248>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc3b0>, <kernel.DependentProduct object at 0x23bc050>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc2d8>, <kernel.DependentProduct object at 0x23bc488>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc050>, <kernel.DependentProduct object at 0x23bc518>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 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)))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc488>, <kernel.DependentProduct object at 0x23bc4d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc440>, <kernel.DependentProduct object at 0x23bc1b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc2761476792215241774st_nat:((nat->(nat->list_nat))->(product_prod_nat_nat->list_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc488>, <kernel.DependentProduct object at 0x23bc5a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc1b8>, <kernel.DependentProduct object at 0x23bc638>) 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
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc7a0>, <kernel.DependentProduct object at 0x23bc6c8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc2d8>, <kernel.DependentProduct object at 0x23bc7e8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc4d0>, <kernel.DependentProduct object at 0x23bc830>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc638>, <kernel.DependentProduct object at 0x23bc878>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.69/0.88 Using role type
% 0.69/0.88 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.69/0.88 FOF formula (<kernel.Constant object at 0x23bc4d0>, <kernel.DependentProduct object at 0x23bc7e8>) of role type named sy_c_Product__Type_Oscomp_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_001t__Code____Numeral__Onatural_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring produc5538323210962509403atural:((produc7822875418678951345atural->produc5835291356934675326atural)->((code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))->(produc7822875418678951345atural->produc5835291356934675326atural)))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc878>, <kernel.DependentProduct object at 0x23bc908>) of role type named sy_c_Quotient_OQuotient3_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring quotie8700032322157300518t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->real)->((real->(nat->rat))->Prop)))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc7e8>, <kernel.DependentProduct object at 0x23bcb00>) of role type named sy_c_Quotient_OQuotient3_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring quotie6776551016481293500at_int:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->((product_prod_nat_nat->int)->((int->product_prod_nat_nat)->Prop)))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc830>, <kernel.DependentProduct object at 0x23bc908>) of role type named sy_c_Random_Oinc__shift
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring inc_shift:(code_natural->(code_natural->code_natural))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc7e8>, <kernel.DependentProduct object at 0x23bc8c0>) of role type named sy_c_Random_Oiterate_001t__Code____Numeral__Onatural_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring iterat8892046348760725948atural:(code_natural->((code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))->(code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bca28>, <kernel.DependentProduct object at 0x23bc908>) of role type named sy_c_Random_Olog
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring log:(code_natural->(code_natural->code_natural))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc878>, <kernel.DependentProduct object at 0x23bc908>) of role type named sy_c_Random_Olog__rel
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring log_rel:(produc7822875418678951345atural->(produc7822875418678951345atural->Prop))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc830>, <kernel.DependentProduct object at 0x23bca28>) of role type named sy_c_Random_Ominus__shift
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring minus_shift:(code_natural->(code_natural->(code_natural->code_natural)))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bcc68>, <kernel.DependentProduct object at 0x23bc878>) of role type named sy_c_Random_Onext
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring next:(produc7822875418678951345atural->produc5835291356934675326atural)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bcb48>, <kernel.DependentProduct object at 0x23bca70>) of role type named sy_c_Random_Orange
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring range:(code_natural->(produc7822875418678951345atural->produc5835291356934675326atural))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bccb0>, <kernel.DependentProduct object at 0x23bcc20>) of role type named sy_c_Rat_OAbs__Rat
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bcbd8>, <kernel.DependentProduct object at 0x23bcb48>) of role type named sy_c_Rat_OFract
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring fract:(int->(int->rat))
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bc830>, <kernel.DependentProduct object at 0x23bcd40>) of role type named sy_c_Rat_OFrct
% 0.69/0.89 Using role type
% 0.69/0.89 Declaring frct:(product_prod_int_int->rat)
% 0.69/0.89 FOF formula (<kernel.Constant object at 0x23bca70>, <kernel.DependentProduct object at 0x23bc908>) of role type named sy_c_Rat_ORep__Rat
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bc830>, <kernel.Constant object at 0x23bcb48>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring field_5140801741446780682s_real:set_real
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bc908>, <kernel.DependentProduct object at 0x23bce60>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring field_7254667332652039916t_real:(rat->real)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcd40>, <kernel.DependentProduct object at 0x23bcef0>) of role type named sy_c_Rat_Onormalize
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcbd8>, <kernel.DependentProduct object at 0x23bcf38>) of role type named sy_c_Rat_Oof__int
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring of_int:(int->rat)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bce18>, <kernel.DependentProduct object at 0x23bcd40>) of role type named sy_c_Rat_Opcr__rat
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcb48>, <kernel.DependentProduct object at 0x23bcfc8>) of role type named sy_c_Rat_Opositive
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring positive:(rat->Prop)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcbd8>, <kernel.DependentProduct object at 0x23bf050>) of role type named sy_c_Rat_Oquotient__of
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring quotient_of:(rat->product_prod_int_int)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcf38>, <kernel.DependentProduct object at 0x23bf050>) of role type named sy_c_Rat_Oratrel
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bce18>, <kernel.DependentProduct object at 0x23bf098>) of role type named sy_c_Real_ORatreal
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring ratreal:(rat->real)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcb48>, <kernel.DependentProduct object at 0x23bf0e0>) of role type named sy_c_Real_OReal
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring real2:((nat->rat)->real)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcf38>, <kernel.DependentProduct object at 0x23bf050>) of role type named sy_c_Real_Ocauchy
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring cauchy:((nat->rat)->Prop)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bce18>, <kernel.DependentProduct object at 0x23bf050>) of role type named sy_c_Real_Ocr__real
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring cr_real:((nat->rat)->(real->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcb48>, <kernel.DependentProduct object at 0x23bf050>) of role type named sy_c_Real_Opcr__real
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring pcr_real:((nat->rat)->(real->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bce18>, <kernel.DependentProduct object at 0x23bf248>) of role type named sy_c_Real_Opositive
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring positive2:(real->Prop)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcf38>, <kernel.DependentProduct object at 0x23bf320>) of role type named sy_c_Real_Orealrel
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring realrel:((nat->rat)->((nat->rat)->Prop))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bcf38>, <kernel.DependentProduct object at 0x23bf050>) of role type named sy_c_Real_Orep__real
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring rep_real:(real->(nat->rat))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bf098>, <kernel.DependentProduct object at 0x23bf368>) of role type named sy_c_Real_Ovanishes
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring vanishes:((nat->rat)->Prop)
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bf1b8>, <kernel.Constant object at 0x23bf320>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring real_V2521375963428798218omplex:set_complex
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bf368>, <kernel.DependentProduct object at 0x23bf1b8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.72/0.89 Using role type
% 0.72/0.89 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.72/0.89 FOF formula (<kernel.Constant object at 0x23bf320>, <kernel.DependentProduct object at 0x23bf368>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf1b8>, <kernel.DependentProduct object at 0x23bf3f8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf368>, <kernel.DependentProduct object at 0x23bf5a8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring real_V7735802525324610683m_real:(real->real)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf3f8>, <kernel.DependentProduct object at 0x23bf638>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf5a8>, <kernel.DependentProduct object at 0x23bf6c8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring real_V1803761363581548252l_real:(real->real)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf638>, <kernel.DependentProduct object at 0x23bf5a8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf758>, <kernel.DependentProduct object at 0x23bf0e0>) of role type named sy_c_Relation_OField_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring field_nat:(set_Pr1261947904930325089at_nat->set_nat)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf3f8>, <kernel.DependentProduct object at 0x23bf0e0>) of role type named sy_c_Relation_Otransp_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring transp_nat_rat:(((nat->rat)->((nat->rat)->Prop))->Prop)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf758>, <kernel.DependentProduct object at 0x23bf3f8>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf0e0>, <kernel.DependentProduct object at 0x23bf758>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf3f8>, <kernel.DependentProduct object at 0x23bf0e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf758>, <kernel.DependentProduct object at 0x23bf3f8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Onatural
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide5121882707175180666atural:(code_natural->(code_natural->code_natural))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf0e0>, <kernel.DependentProduct object at 0x23bf758>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf998>, <kernel.DependentProduct object at 0x23bf3f8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide_divide_int:(int->(int->int))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf7a0>, <kernel.DependentProduct object at 0x23bf0e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfb90>, <kernel.DependentProduct object at 0x23bf998>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfa28>, <kernel.DependentProduct object at 0x23bf7a0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring divide_divide_real:(real->(real->real))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfab8>, <kernel.DependentProduct object at 0x23bfb90>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfb48>, <kernel.DependentProduct object at 0x23bfa28>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Onatural
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_Code_natural:(code_natural->(code_natural->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf0e0>, <kernel.DependentProduct object at 0x23bfab8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf998>, <kernel.DependentProduct object at 0x23bfb48>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf7a0>, <kernel.DependentProduct object at 0x23bf0e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfb90>, <kernel.DependentProduct object at 0x23bf998>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfa28>, <kernel.DependentProduct object at 0x23bf7a0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfb90>, <kernel.DependentProduct object at 0x23bfa28>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf7a0>, <kernel.DependentProduct object at 0x23bfb90>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Onatural
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring modulo8411746178871703098atural:(code_natural->(code_natural->code_natural))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfab8>, <kernel.DependentProduct object at 0x23bfa28>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring modulo_modulo_int:(int->(int->int))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf758>, <kernel.DependentProduct object at 0x23bf7a0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfab8>, <kernel.DependentProduct object at 0x23c1098>) of role type named sy_c_Rings_Ounit__factor__class_Ounit__factor_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring unit_f2748546683901255202or_nat:(nat->nat)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bf7a0>, <kernel.DependentProduct object at 0x23c1050>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfa28>, <kernel.DependentProduct object at 0x23c1128>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Onatural
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n8403883297036319079atural:(Prop->code_natural)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfa28>, <kernel.DependentProduct object at 0x23c11b8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfa28>, <kernel.DependentProduct object at 0x23c1248>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1200>, <kernel.DependentProduct object at 0x23c12d8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1248>, <kernel.DependentProduct object at 0x23c1368>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c12d8>, <kernel.DependentProduct object at 0x23c13f8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23bfab8>, <kernel.DependentProduct object at 0x23c1368>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring suminf_complex:((nat->complex)->complex)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c13b0>, <kernel.DependentProduct object at 0x23c12d8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring suminf_int:((nat->int)->int)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1440>, <kernel.DependentProduct object at 0x23c1368>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring suminf_nat:((nat->nat)->nat)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1518>, <kernel.DependentProduct object at 0x23c1290>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring suminf_real:((nat->real)->real)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c15a8>, <kernel.DependentProduct object at 0x23c1368>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring summable_complex:((nat->complex)->Prop)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1560>, <kernel.DependentProduct object at 0x23c13b0>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring summable_int:((nat->int)->Prop)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1488>, <kernel.DependentProduct object at 0x23c1518>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring summable_nat:((nat->nat)->Prop)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c15f0>, <kernel.DependentProduct object at 0x23c15a8>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring summable_real:((nat->real)->Prop)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1638>, <kernel.DependentProduct object at 0x23c1680>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1248>, <kernel.DependentProduct object at 0x23c1710>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring sums_int:((nat->int)->(int->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c15a8>, <kernel.DependentProduct object at 0x23c1518>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c16c8>, <kernel.DependentProduct object at 0x23c17a0>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring sums_real:((nat->real)->(real->Prop))
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1518>, <kernel.DependentProduct object at 0x23c1878>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1710>, <kernel.DependentProduct object at 0x23c18c0>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring collect_int:((int->Prop)->set_int)
% 0.72/0.90 FOF formula (<kernel.Constant object at 0x23c1758>, <kernel.DependentProduct object at 0x23c1518>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.72/0.90 Using role type
% 0.72/0.90 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c17a0>, <kernel.DependentProduct object at 0x23c1950>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1518>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c17a0>, <kernel.DependentProduct object at 0x23c1878>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c18c0>, <kernel.DependentProduct object at 0x23c1ab8>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring collect_real:((real->Prop)->set_real)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1950>, <kernel.DependentProduct object at 0x23c17a0>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c15f0>, <kernel.DependentProduct object at 0x23c1b48>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring pow_nat:(set_nat->set_set_nat)
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1a28>, <kernel.DependentProduct object at 0x23c1b48>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1a70>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c17a0>, <kernel.DependentProduct object at 0x23c1950>) of role type named sy_c_Set_Oimage_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_list_nat_nat:((list_nat->nat)->(set_list_nat->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1a28>, <kernel.DependentProduct object at 0x23c1b90>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_nat_list_nat:((nat->list_nat)->(set_nat->set_list_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c17a0>, <kernel.DependentProduct object at 0x23c15f0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1a28>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_5846123807819985514at_nat:((nat->product_prod_nat_nat)->(set_nat->set_Pr1261947904930325089at_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1b90>, <kernel.DependentProduct object at 0x23c1a70>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c15f0>, <kernel.DependentProduct object at 0x23c1b48>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1b90>, <kernel.DependentProduct object at 0x23c1878>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_678696785212003926at_nat:((nat->sum_sum_nat_nat)->(set_nat->set_Sum_sum_nat_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1b48>, <kernel.DependentProduct object at 0x23c1dd0>) of role type named sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_2486076414777270412at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c15f0>, <kernel.DependentProduct object at 0x23c17a0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1a28>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c15f0>, <kernel.DependentProduct object at 0x23c1b48>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring image_1320371278474632150at_nat:((sum_sum_nat_nat->nat)->(set_Sum_sum_nat_nat->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1f80>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1ab8>, <kernel.DependentProduct object at 0x23c17a0>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_int:(int->(set_int->set_int))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c1ea8>) of role type named sy_c_Set_Oinsert_001t__List__Olist_It__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_list_nat:(list_nat->(set_list_nat->set_list_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c15f0>, <kernel.DependentProduct object at 0x23c4128>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1878>, <kernel.DependentProduct object at 0x23c4248>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_real:(real->(set_real->set_real))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1f80>, <kernel.DependentProduct object at 0x23c4170>) of role type named sy_c_Set_Oinsert_001t__Set__Oset_It__Nat__Onat_J
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_set_nat:(set_nat->(set_set_nat->set_set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1ea8>, <kernel.DependentProduct object at 0x23c4050>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c1f80>, <kernel.DependentProduct object at 0x23c4200>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c4170>, <kernel.DependentProduct object at 0x23c40e0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Code____Numeral__Ointeger
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring set_fo1084959871951514735nteger:((nat->(code_integer->code_integer))->(nat->(nat->(code_integer->code_integer))))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c4200>, <kernel.DependentProduct object at 0x23c4128>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c40e0>, <kernel.DependentProduct object at 0x23c4248>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.72/0.91 Using role type
% 0.72/0.91 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.72/0.91 FOF formula (<kernel.Constant object at 0x23c4128>, <kernel.DependentProduct object at 0x23c4050>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4248>, <kernel.DependentProduct object at 0x23c43f8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4050>, <kernel.DependentProduct object at 0x23c44d0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c43f8>, <kernel.DependentProduct object at 0x23c4638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c41b8>, <kernel.DependentProduct object at 0x23c43f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4638>, <kernel.DependentProduct object at 0x23c41b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c43f8>, <kernel.DependentProduct object at 0x23c4638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c41b8>, <kernel.DependentProduct object at 0x23c43f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4638>, <kernel.DependentProduct object at 0x23c41b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c43f8>, <kernel.DependentProduct object at 0x23c4638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c41b8>, <kernel.DependentProduct object at 0x23c43f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4050>, <kernel.DependentProduct object at 0x23c4560>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c4b00>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_ord_atLeast_real:(real->set_real)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4a28>, <kernel.DependentProduct object at 0x23c4b48>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c4a28>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4b48>, <kernel.DependentProduct object at 0x23c4998>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4a28>, <kernel.DependentProduct object at 0x23c4b48>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c4a28>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4b48>, <kernel.DependentProduct object at 0x23c4998>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Num__Onum
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or2392100141987894638an_num:(num->(num->set_num))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4a28>, <kernel.DependentProduct object at 0x23c4b48>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Rat__Orat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or5199638295745620268an_rat:(rat->(rat->set_rat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c4a28>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4b48>, <kernel.DependentProduct object at 0x23c4998>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or8625682525731655386et_nat:(set_nat->(set_nat->set_set_nat))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4a28>, <kernel.DependentProduct object at 0x23c7050>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c70e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c43f8>, <kernel.DependentProduct object at 0x23c7170>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c43f8>, <kernel.DependentProduct object at 0x23c71b8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c72d8>) of role type named sy_c_String_OCode_Oabort_001t__Real__Oreal
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring abort_real:(literal->((product_unit->real)->real))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c43f8>, <kernel.DependentProduct object at 0x23c7290>) of role type named sy_c_String_OLiteral
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring literal2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(literal->literal))))))))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c4998>, <kernel.DependentProduct object at 0x23c73f8>) of role type named sy_c_String_Ochar_OChar
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c7128>, <kernel.DependentProduct object at 0x23c7488>) of role type named sy_c_String_Ochar_Osize__char
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring size_char:(char->nat)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c70e0>, <kernel.DependentProduct object at 0x23c7200>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.72/0.92 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.72/0.92 FOF formula (<kernel.Constant object at 0x23c7128>, <kernel.DependentProduct object at 0x23c7440>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.72/0.92 Using role type
% 0.75/0.92 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7320>, <kernel.DependentProduct object at 0x23c7290>) of role type named sy_c_Sum__Type_OInl_001t__Nat__Onat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_Inl_nat_nat:(nat->sum_sum_nat_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c72d8>, <kernel.DependentProduct object at 0x23c74d0>) of role type named sy_c_Sum__Type_OInr_001t__Nat__Onat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_Inr_nat_nat:(nat->sum_sum_nat_nat)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7320>, <kernel.DependentProduct object at 0x23c75a8>) of role type named sy_c_Sum__Type_Osum_Ocase__sum_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_ca7763040182479039464nt_nat:((nat->int)->((nat->int)->(sum_sum_nat_nat->int)))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c74d0>, <kernel.DependentProduct object at 0x23c72d8>) of role type named sy_c_Sum__Type_Osum_Ocase__sum_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring sum_ca6763686470577984908at_nat:((nat->nat)->((nat->nat)->(sum_sum_nat_nat->nat)))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c75a8>, <kernel.DependentProduct object at 0x23c7320>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c72d8>, <kernel.DependentProduct object at 0x23c7758>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7320>, <kernel.DependentProduct object at 0x23c75a8>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7758>, <kernel.DependentProduct object at 0x23c7320>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c75a8>, <kernel.DependentProduct object at 0x23c7830>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oconvergent_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo7531315842566124627t_real:((nat->real)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7320>, <kernel.DependentProduct object at 0x23c7908>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7830>, <kernel.DependentProduct object at 0x23c7950>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Complex__Ocomplex
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo6517432010174082258omplex:((nat->complex)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7908>, <kernel.DependentProduct object at 0x23c79e0>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c77e8>, <kernel.DependentProduct object at 0x23c7ab8>) of role type named sy_c_Transcendental_Oarccos
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring arccos:(real->real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c7290>, <kernel.DependentProduct object at 0x23c7b00>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring arcosh_real:(real->real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c78c0>, <kernel.DependentProduct object at 0x23c7b48>) of role type named sy_c_Transcendental_Oarcsin
% 0.75/0.92 Using role type
% 0.75/0.92 Declaring arcsin:(real->real)
% 0.75/0.92 FOF formula (<kernel.Constant object at 0x23c79e0>, <kernel.DependentProduct object at 0x23c7b90>) of role type named sy_c_Transcendental_Oarctan
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring arctan:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7ab8>, <kernel.DependentProduct object at 0x23c7bd8>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring arsinh_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7b00>, <kernel.DependentProduct object at 0x23c7c20>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring artanh_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7b48>, <kernel.DependentProduct object at 0x23c7c68>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cos_complex:(complex->complex)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7b90>, <kernel.DependentProduct object at 0x23c7cb0>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cos_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c71b8>, <kernel.DependentProduct object at 0x23c7d40>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cos_coeff:(nat->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7c68>, <kernel.DependentProduct object at 0x23c7b90>) of role type named sy_c_Transcendental_Ocosh_001t__Complex__Ocomplex
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cosh_complex:(complex->complex)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7d40>, <kernel.DependentProduct object at 0x23c7d88>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cosh_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7ab8>, <kernel.DependentProduct object at 0x23c7dd0>) of role type named sy_c_Transcendental_Ocot_001t__Complex__Ocomplex
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cot_complex:(complex->complex)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c71b8>, <kernel.DependentProduct object at 0x23c7e18>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring cot_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7b90>, <kernel.DependentProduct object at 0x23c7d88>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring diffs_real:((nat->real)->(nat->real))
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7ab8>, <kernel.DependentProduct object at 0x23c7ea8>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring exp_complex:(complex->complex)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7dd0>, <kernel.DependentProduct object at 0x23c7c68>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring exp_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7e60>, <kernel.DependentProduct object at 0x23c7f38>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring ln_ln_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7d88>, <kernel.DependentProduct object at 0x23c7dd0>) of role type named sy_c_Transcendental_Olog
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring log2:(real->(real->real))
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7f80>, <kernel.Constant object at 0x23c7dd0>) of role type named sy_c_Transcendental_Opi
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring pi:real
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7f38>, <kernel.DependentProduct object at 0x23c7d88>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring powr_real:(real->(real->real))
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7bd8>, <kernel.DependentProduct object at 0x23c7fc8>) of role type named sy_c_Transcendental_Opowr__real
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring powr_real2:(real->(real->real))
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7b90>, <kernel.DependentProduct object at 0x23ca170>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring sin_complex:(complex->complex)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7fc8>, <kernel.DependentProduct object at 0x23ca0e0>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.75/0.93 Using role type
% 0.75/0.93 Declaring sin_real:(real->real)
% 0.75/0.93 FOF formula (<kernel.Constant object at 0x23c7dd0>, <kernel.DependentProduct object at 0x23ca1b8>) of role type named sy_c_Transcendental_Osin__coeff
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sin_coeff:(nat->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23c7f80>, <kernel.DependentProduct object at 0x23ca128>) of role type named sy_c_Transcendental_Osinh_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sinh_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23c7c68>, <kernel.DependentProduct object at 0x23ca200>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring sinh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23c7f80>, <kernel.DependentProduct object at 0x23ca248>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tan_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23c7dd0>, <kernel.DependentProduct object at 0x23ca290>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tan_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23c7dd0>, <kernel.DependentProduct object at 0x23ca2d8>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tanh_complex:(complex->complex)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca170>, <kernel.DependentProduct object at 0x23ca320>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring tanh_real:(real->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca128>, <kernel.DependentProduct object at 0x23ca170>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca0e0>, <kernel.DependentProduct object at 0x23ca3f8>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca2d8>, <kernel.DependentProduct object at 0x23ca170>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca4d0>, <kernel.DependentProduct object at 0x23ca128>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca0e0>, <kernel.DependentProduct object at 0x23ca4d0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca560>, <kernel.DependentProduct object at 0x23ca128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_VEBT_elim_dead:(vEBT_VEBT->(extended_enat->vEBT_VEBT))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca518>, <kernel.DependentProduct object at 0x23ca128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead__rel
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_V312737461966249ad_rel:(produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca5f0>, <kernel.DependentProduct object at 0x23ca560>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca518>, <kernel.DependentProduct object at 0x23ca5f0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca3f8>, <kernel.DependentProduct object at 0x23ca560>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x23ca710>, <kernel.DependentProduct object at 0x23ca518>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca3f8>, <kernel.DependentProduct object at 0x23ca5f0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca518>, <kernel.DependentProduct object at 0x23ca3f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca5f0>, <kernel.DependentProduct object at 0x23ca560>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca7e8>, <kernel.DependentProduct object at 0x23ca3f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca8c0>, <kernel.DependentProduct object at 0x23ca3f8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca3b0>, <kernel.DependentProduct object at 0x23ca8c0>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca950>, <kernel.DependentProduct object at 0x23ca9e0>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca560>, <kernel.DependentProduct object at 0x23ca3f8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca3b0>, <kernel.DependentProduct object at 0x23ca560>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caa28>, <kernel.DependentProduct object at 0x23ca3f8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cab48>, <kernel.DependentProduct object at 0x23ca950>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caa28>, <kernel.DependentProduct object at 0x23cab48>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cab90>, <kernel.DependentProduct object at 0x23caab8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca998>, <kernel.DependentProduct object at 0x23cab90>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca950>, <kernel.DependentProduct object at 0x23ca998>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cab48>, <kernel.DependentProduct object at 0x23cac20>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca998>, <kernel.DependentProduct object at 0x23cacb0>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cab48>, <kernel.DependentProduct object at 0x23cac20>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P8126237942716283194atural:((produc7822875418678951345atural->(produc7822875418678951345atural->Prop))->(produc7822875418678951345atural->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cacb0>, <kernel.DependentProduct object at 0x23ca998>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cac20>, <kernel.DependentProduct object at 0x23cae18>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca998>, <kernel.DependentProduct object at 0x23cadd0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P6183159247885693666d_enat:((produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))->(produc7272778201969148633d_enat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cae18>, <kernel.DependentProduct object at 0x23cacb0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caf80>, <kernel.DependentProduct object at 0x23caef0>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23ca3f8>, <kernel.Constant object at 0x23cadd0>) of role type named sy_c_Wellfounded_Oless__than
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring less_than:set_Pr1261947904930325089at_nat
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caf80>, <kernel.Constant object at 0x23ca998>) of role type named sy_c_Wellfounded_Opred__nat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cae18>, <kernel.DependentProduct object at 0x23cc1b8>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring fChoice_real:((real->Prop)->real)
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caef0>, <kernel.DependentProduct object at 0x23cc050>) of role type named sy_c_member_001_Eo
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_o:(Prop->(set_o->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cadd0>, <kernel.DependentProduct object at 0x23cc170>) of role type named sy_c_member_001t__Code____Numeral__Ointeger
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_Code_integer:(code_integer->(set_Code_integer->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cae18>, <kernel.DependentProduct object at 0x23cc128>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_complex:(complex->(set_complex->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caef0>, <kernel.DependentProduct object at 0x23cc248>) of role type named sy_c_member_001t__Int__Oint
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_int:(int->(set_int->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23caef0>, <kernel.DependentProduct object at 0x23cc200>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc128>, <kernel.DependentProduct object at 0x23cc098>) of role type named sy_c_member_001t__Nat__Onat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_nat:(nat->(set_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc050>, <kernel.DependentProduct object at 0x23cc0e0>) of role type named sy_c_member_001t__Num__Onum
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_num:(num->(set_num->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc128>, <kernel.DependentProduct object at 0x23cc248>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc0e0>, <kernel.DependentProduct object at 0x23cc098>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member8206827879206165904at_nat:(produc859450856879609959at_nat->(set_Pr8693737435421807431at_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc050>, <kernel.DependentProduct object at 0x23cc248>) of role type named sy_c_member_001t__Rat__Orat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_rat:(rat->(set_rat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc1b8>, <kernel.DependentProduct object at 0x23cc050>) of role type named sy_c_member_001t__Real__Oreal
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_real:(real->(set_real->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc518>, <kernel.DependentProduct object at 0x23cc0e0>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc170>, <kernel.DependentProduct object at 0x23cc248>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc050>, <kernel.Constant object at 0x23cc248>) of role type named sy_v_deg____
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring deg:nat
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc0e0>, <kernel.Constant object at 0x23cc248>) of role type named sy_v_m____
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring m:nat
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc3f8>, <kernel.Constant object at 0x23cc248>) of role type named sy_v_na____
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring na:nat
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc5f0>, <kernel.Constant object at 0x23cc248>) of role type named sy_v_summary____
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring summary:vEBT_VEBT
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc5a8>, <kernel.Constant object at 0x23cc248>) of role type named sy_v_treeList____
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring treeList:list_VEBT_VEBT
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x23cc638>, <kernel.Constant object at 0x23cc248>) of role type named sy_v_xa____
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring xa:nat
% 0.76/0.94 FOF formula (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A))) of role axiom named fact_0_bot__nat__0_Onot__eq__extremum
% 0.76/0.94 A new axiom: (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A)))
% 0.76/0.94 FOF formula (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N))) of role axiom named fact_1_neq0__conv
% 0.76/0.94 A new axiom: (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N)))
% 0.76/0.94 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_2_less__nat__zero__code
% 0.76/0.94 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.94 FOF formula (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_3_not__gr__zero
% 0.76/0.94 A new axiom: (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat)))
% 0.76/0.94 FOF formula (((eq nat) m) (suc na)) of role axiom named fact_4__C3_Ohyps_C_I3_J
% 0.76/0.95 A new axiom: (((eq nat) m) (suc na))
% 0.76/0.95 FOF formula (forall (A:nat), (((ord_less_nat A) zero_zero_nat)->False)) of role axiom named fact_5_bot__nat__0_Oextremum__strict
% 0.76/0.95 A new axiom: (forall (A:nat), (((ord_less_nat A) zero_zero_nat)->False))
% 0.76/0.95 FOF formula (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N))) of role axiom named fact_6_gr0I
% 0.76/0.95 A new axiom: (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ord_less_nat zero_zero_nat) N)))
% 0.76/0.95 FOF formula (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat))) of role axiom named fact_7_not__gr0
% 0.76/0.95 A new axiom: (forall (N:nat), (((eq Prop) (((ord_less_nat zero_zero_nat) N)->False)) (((eq nat) N) zero_zero_nat)))
% 0.76/0.95 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_8_not__less0
% 0.76/0.95 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.95 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_9_less__zeroE
% 0.76/0.95 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 0.76/0.95 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->(not (((eq nat) N) zero_zero_nat)))) of role axiom named fact_10_gr__implies__not0
% 0.76/0.95 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->(not (((eq nat) N) zero_zero_nat))))
% 0.76/0.95 FOF formula (forall (X2:nat) (Y2:nat), (((eq Prop) (((eq nat) (suc X2)) (suc Y2))) (((eq nat) X2) Y2))) of role axiom named fact_11_nat_Oinject
% 0.76/0.95 A new axiom: (forall (X2:nat) (Y2:nat), (((eq Prop) (((eq nat) (suc X2)) (suc Y2))) (((eq nat) X2) Y2)))
% 0.76/0.95 FOF formula (forall (Nat:nat) (Nat2:nat), (((eq Prop) (((eq nat) (suc Nat)) (suc Nat2))) (((eq nat) Nat) Nat2))) of role axiom named fact_12_old_Onat_Oinject
% 0.76/0.95 A new axiom: (forall (Nat:nat) (Nat2:nat), (((eq Prop) (((eq nat) (suc Nat)) (suc Nat2))) (((eq nat) Nat) Nat2)))
% 0.76/0.95 FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_nat (suc M)) (suc N))) ((ord_less_nat M) N))) of role axiom named fact_13_Suc__less__eq
% 0.76/0.95 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_nat (suc M)) (suc N))) ((ord_less_nat M) N)))
% 0.76/0.95 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_nat (suc M)) (suc N)))) of role axiom named fact_14_Suc__mono
% 0.76/0.95 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_nat (suc M)) (suc N))))
% 0.76/0.95 FOF formula (forall (N:nat), ((ord_less_nat N) (suc N))) of role axiom named fact_15_lessI
% 0.76/0.95 A new axiom: (forall (N:nat), ((ord_less_nat N) (suc N)))
% 0.76/0.95 FOF formula (forall (N:nat), ((ord_less_nat zero_zero_nat) (suc N))) of role axiom named fact_16_zero__less__Suc
% 0.76/0.95 A new axiom: (forall (N:nat), ((ord_less_nat zero_zero_nat) (suc N)))
% 0.76/0.95 FOF formula (forall (N:nat), (((eq Prop) ((ord_less_nat N) (suc zero_zero_nat))) (((eq nat) N) zero_zero_nat))) of role axiom named fact_17_less__Suc0
% 0.76/0.95 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_nat N) (suc zero_zero_nat))) (((eq nat) N) zero_zero_nat)))
% 0.76/0.95 FOF formula (forall (X:nat) (Y:nat), ((((eq nat) (suc X)) (suc Y))->(((eq nat) X) Y))) of role axiom named fact_18_Suc__inject
% 0.76/0.95 A new axiom: (forall (X:nat) (Y:nat), ((((eq nat) (suc X)) (suc Y))->(((eq nat) X) Y)))
% 0.76/0.95 FOF formula (forall (N:nat), (not (((eq nat) N) (suc N)))) of role axiom named fact_19_n__not__Suc__n
% 0.76/0.95 A new axiom: (forall (N:nat), (not (((eq nat) N) (suc N))))
% 0.76/0.95 FOF formula (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ex nat) (fun (M2:nat)=> (((eq nat) N) (suc M2)))))) of role axiom named fact_20_not0__implies__Suc
% 0.76/0.95 A new axiom: (forall (N:nat), ((not (((eq nat) N) zero_zero_nat))->((ex nat) (fun (M2:nat)=> (((eq nat) N) (suc M2))))))
% 0.76/0.95 FOF formula (forall (M:nat), (not (((eq nat) zero_zero_nat) (suc M)))) of role axiom named fact_21_Zero__not__Suc
% 0.76/0.95 A new axiom: (forall (M:nat), (not (((eq nat) zero_zero_nat) (suc M))))
% 0.76/0.95 FOF formula (forall (M:nat), (not (((eq nat) zero_zero_nat) (suc M)))) of role axiom named fact_22_Zero__neq__Suc
% 0.76/0.95 A new axiom: (forall (M:nat), (not (((eq nat) zero_zero_nat) (suc M))))
% 0.76/0.95 FOF formula (forall (M:nat), (not (((eq nat) (suc M)) zero_zero_nat))) of role axiom named fact_23_Suc__neq__Zero
% 0.76/0.96 A new axiom: (forall (M:nat), (not (((eq nat) (suc M)) zero_zero_nat)))
% 0.76/0.96 FOF formula (forall (P:(nat->Prop)) (K:nat), ((P K)->((forall (N2:nat), ((P (suc N2))->(P N2)))->(P zero_zero_nat)))) of role axiom named fact_24_zero__induct
% 0.76/0.96 A new axiom: (forall (P:(nat->Prop)) (K:nat), ((P K)->((forall (N2:nat), ((P (suc N2))->(P N2)))->(P zero_zero_nat))))
% 0.76/0.96 FOF formula (forall (P:(nat->(nat->Prop))) (M:nat) (N:nat), ((forall (X3:nat), ((P X3) zero_zero_nat))->((forall (Y3:nat), ((P zero_zero_nat) (suc Y3)))->((forall (X3:nat) (Y3:nat), (((P X3) Y3)->((P (suc X3)) (suc Y3))))->((P M) N))))) of role axiom named fact_25_diff__induct
% 0.76/0.96 A new axiom: (forall (P:(nat->(nat->Prop))) (M:nat) (N:nat), ((forall (X3:nat), ((P X3) zero_zero_nat))->((forall (Y3:nat), ((P zero_zero_nat) (suc Y3)))->((forall (X3:nat) (Y3:nat), (((P X3) Y3)->((P (suc X3)) (suc Y3))))->((P M) N)))))
% 0.76/0.96 FOF formula (forall (P:(nat->Prop)) (N:nat), ((P zero_zero_nat)->((forall (N2:nat), ((P N2)->(P (suc N2))))->(P N)))) of role axiom named fact_26_nat__induct
% 0.76/0.96 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((P zero_zero_nat)->((forall (N2:nat), ((P N2)->(P (suc N2))))->(P N))))
% 0.76/0.96 <<<ct_27_old_Onat_Oexhaust,axiom,
% 0.76/0.96 ! [Y: nat] :
% 0.76/0.96 ( ( Y != zero_zero_nat )
% 0.76/0.96 => ~ !>>>!!!<<< [Nat3: nat] :
% 0.76/0.96 ( Y
% 0.76/0.96 != ( suc @ Nat3 ) ) ) ).
% 0.76/0.96
% 0.76/0.96 % old.nat.exhaust
% 0.76/0.96 thf(>>>
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TPTP_input, LexToken(THF,'thf',1,157284), LexToken(LPAR,'(',1,157287), name, LexToken(COMMA,',',1,157313), formula_role, LexToken(COMMA,',',1,157319), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,157327), thf_variable_list, LexToken(RBRACKET,']',1,157334), LexToken(COLON,':',1,157336), LexToken(LPAR,'(',1,157344), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.76/0.96 Unexpected exception Syntax error at '!':BANG
% 0.76/0.96 Traceback (most recent call last):
% 0.76/0.96 File "CASC.py", line 79, in <module>
% 0.76/0.96 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.76/0.96 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.76/0.96 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.76/0.96 tok = self.errorfunc(errtoken)
% 0.76/0.96 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.76/0.96 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.76/0.96 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------