TSTP Solution File: ITP259^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP259^3 : TPTP v7.6.0. Released v7.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 17:47:50 EDT 2022
% Result : Unknown 0.76s 0.94s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP259^3 : TPTP v7.6.0. Released v7.6.0.
% 0.06/0.13 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 Computer : n029.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 13:21:20 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
% 0.36/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6488>, <kernel.Type object at 0x21c6ab8>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring produc1319942482725812455at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6e18>, <kernel.Type object at 0x21c6fc8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring set_Pr4329608150637261639at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6098>, <kernel.Type object at 0x21c6c68>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring produc4471711990508489141at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6e18>, <kernel.Type object at 0x21c6488>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring produc3843707927480180839at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6d88>, <kernel.Type object at 0x21c6098>) 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
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring set_Pr8693737435421807431at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c63f8>, <kernel.Type object at 0x21c6e18>) 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
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring produc859450856879609959at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6f38>, <kernel.Type object at 0x21c6d88>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring set_fi4554929511873752355omplex:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6638>, <kernel.Type object at 0x2b982d830fc8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring list_P7413028617227757229T_VEBT:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6ef0>, <kernel.Type object at 0x2b982d8307a0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring produc7248412053542808358at_nat:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6ef0>, <kernel.Type object at 0x2b982d8305f0>) of role type named ty_n_t__Set__Oset_It__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring set_fi7789364187291644575l_real:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x21c6638>, <kernel.Type object at 0x2b982d830d40>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring filter6041513312241820739omplex:Type
% 0.36/0.61 FOF formula (<kernel.Constant object at 0x2b982d830908>, <kernel.Type object at 0x2b982d830bd8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.36/0.61 Using role type
% 0.36/0.61 Declaring list_P7037539587688870467BT_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830638>, <kernel.Type object at 0x2b982d8308c0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P5647936690300460905T_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830b00>, <kernel.Type object at 0x2b982d830908>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_li5450038453877631591at_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830950>, <kernel.Type object at 0x2b982d8306c8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc8243902056947475879T_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830b00>, <kernel.Type object at 0x2b982d830638>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Pr5085853215250843933omplex:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830ab8>, <kernel.Type object at 0x2b982d830950>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc8923325533196201883nteger:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830cf8>, <kernel.Type object at 0x2b982d830b00>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc7272778201969148633d_enat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d830c20>, <kernel.Type object at 0x2b982d830ab8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P3126845725202233233VEBT_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d8303b0>, <kernel.Type object at 0x2b982d830cf8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P7495141550334521929T_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d8304d0>, <kernel.Type object at 0x21bddd0>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring filter2146258269922977983l_real:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d8304d0>, <kernel.Type object at 0x21bdfc8>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring option4927543243414619207at_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d8303b0>, <kernel.Type object at 0x2b982d830c20>) of role type named ty_n_t__Filter__Ofilter_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring filter1242075044329608583at_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21bde18>, <kernel.Type object at 0x2b982d8323f8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Pr6218003697084177305l_real:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21bde18>, <kernel.Type object at 0x2b982d832b00>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P6011104703257516679at_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21bdd40>, <kernel.Type object at 0x2b982d8323b0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P5707943133018811711nt_int:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832560>, <kernel.Type object at 0x2b982d832b48>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc9072475918466114483BT_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832b90>, <kernel.Type object at 0x2b982d832170>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc8025551001238799321T_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832dd0>, <kernel.Type object at 0x2b982d832560>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Pr1261947904930325089at_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832a28>, <kernel.Type object at 0x2b982d8324d0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Pr958786334691620121nt_int:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832dd0>, <kernel.Type object at 0x2b982d832b90>) of role type named ty_n_t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc4411394909380815293omplex:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832ab8>, <kernel.Type object at 0x2b982d832a28>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P7333126701944960589_nat_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832dd0>, <kernel.Type object at 0x21a0cf8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P6285523579766656935_o_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832a28>, <kernel.Type object at 0x21a0638>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_list_VEBT_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b982d832dd0>, <kernel.Type object at 0x21a0a70>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc334124729049499915VEBT_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21a0c20>, <kernel.Type object at 0x21c3e18>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc2504756804600209347T_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21a0dd0>, <kernel.Type object at 0x21c39e0>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc6271795597528267376eger_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21a0dd0>, <kernel.Type object at 0x21c3bd8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Extended____Nat__Oenat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_li5464603477888414924d_enat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21a0c20>, <kernel.Type object at 0x21c3098>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring produc2422161461964618553l_real:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21a0dd0>, <kernel.Type object at 0x21c3bd8>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring product_prod_nat_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21a0a70>, <kernel.Type object at 0x21c33f8>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring product_prod_int_int:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3368>, <kernel.Type object at 0x21c32d8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_P4002435161011370285od_o_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3bd8>, <kernel.Type object at 0x21c33f8>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_list_complex:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3f38>, <kernel.Type object at 0x21c3c68>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_VEBT_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3098>, <kernel.Type object at 0x21c3b00>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_list_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3bd8>, <kernel.Type object at 0x21c3cb0>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_list_int:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3f38>, <kernel.Type object at 0x21c37a0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring product_prod_nat_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3098>, <kernel.Type object at 0x21c38c0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring product_prod_o_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3bd8>, <kernel.Type object at 0x21c35a8>) of role type named ty_n_t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_set_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3f38>, <kernel.Type object at 0x21c3488>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_VEBT_VEBT:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3098>, <kernel.Type object at 0x21c3998>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_set_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3bd8>, <kernel.Type object at 0x21c3ab8>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Code_integer:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3488>, <kernel.Type object at 0x21c3998>) of role type named ty_n_t__List__Olist_It__Extended____Nat__Oenat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_Extended_enat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3ab8>, <kernel.Type object at 0x2b9825d5d248>) of role type named ty_n_t__Set__Oset_It__Product____Type__Ounit_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Product_unit:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3998>, <kernel.Type object at 0x2b9825d5d248>) of role type named ty_n_t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_Extended_enat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3f38>, <kernel.Type object at 0x2b9825d5d200>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_complex:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3488>, <kernel.Type object at 0x2b9825d5d1b8>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_list_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3998>, <kernel.Type object at 0x2b9825d5d0e0>) of role type named ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring product_prod_o_o:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3488>, <kernel.Type object at 0x2b9825d5d128>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_complex:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3f38>, <kernel.Type object at 0x2b9825d5d050>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring filter_real:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x21c3f38>, <kernel.Type object at 0x2b9825d5d098>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring option_num:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b9825d5d170>, <kernel.Type object at 0x2b9825d5d2d8>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring option_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d320>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring filter_nat:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b9825d5d200>, <kernel.Type object at 0x2b9825d5d368>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring set_char:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b9825d5d170>, <kernel.Type object at 0x2b9825d5d3b0>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.36/0.62 Using role type
% 0.36/0.62 Declaring list_real:Type
% 0.36/0.62 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d368>) 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 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d440>) 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 0x2b9825d5d170>, <kernel.Type object at 0x2b9825d5d4d0>) 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 0x2b9825d5d320>, <kernel.Type object at 0x2b9825d5d518>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring vEBT_VEBT:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d560>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_rat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d5a8>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d170>, <kernel.Type object at 0x2b9825d5d5f0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d320>, <kernel.Type object at 0x2b9825d5d638>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d680>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring code_integer:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d6c8>) of role type named ty_n_t__Product____Type__Ounit
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring product_unit:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d170>, <kernel.Type object at 0x2b9825d5d710>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring extended_enat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d680>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring list_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d200>, <kernel.Type object at 0x2b9825d5d7a0>) of role type named ty_n_t__Complex__Ocomplex
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring complex:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d6c8>) of role type named ty_n_t__String__Oliteral
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring literal:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d7e8>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring set_o:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d200>, <kernel.Type object at 0x2b9825d5d830>) of role type named ty_n_t__String__Ochar
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring char:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d878>) of role type named ty_n_t__Real__Oreal
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring real:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d8c0>) of role type named ty_n_t__Rat__Orat
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring rat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d200>, <kernel.Type object at 0x2b9825d5d908>) of role type named ty_n_t__Num__Onum
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring num:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d248>, <kernel.Type object at 0x2b9825d5d950>) of role type named ty_n_t__Nat__Onat
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring nat:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.Type object at 0x2b9825d5d998>) of role type named ty_n_t__Int__Oint
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring int:Type
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d1b8>, <kernel.DependentProduct object at 0x2b9825d5db48>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.45/0.63 Using role type
% 0.45/0.63 Declaring archim7802044766580827645g_real:(real->int)
% 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b9825d5d9e0>, <kernel.DependentProduct object at 0x2b9825d5dbd8>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5db48>, <kernel.DependentProduct object at 0x2b9825d5dc68>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim6058952711729229775r_real:(real->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5d320>, <kernel.DependentProduct object at 0x2b9825d5dcf8>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archimedean_frac_rat:(rat->rat)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5db48>, <kernel.DependentProduct object at 0x2b9825d5dd40>) of role type named sy_c_Archimedean__Field_Ofrac_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim2898591450579166408c_real:(real->real)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5dcf8>, <kernel.DependentProduct object at 0x2b9825d5ddd0>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5dd40>, <kernel.DependentProduct object at 0x2b9825d5de60>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring archim8280529875227126926d_real:(real->int)
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5ddd0>, <kernel.Constant object at 0x2b9825d5db90>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLeq
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bNF_Ca8665028551170535155natLeq:set_Pr1261947904930325089at_nat
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5de60>, <kernel.Constant object at 0x2b9825d5dcf8>) of role type named sy_c_BNF__Cardinal__Order__Relation_OnatLess
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bNF_Ca8459412986667044542atLess:set_Pr1261947904930325089at_nat
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5db90>, <kernel.DependentProduct object at 0x2b9825d5de60>) 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
% 0.45/0.64 Using role type
% 0.45/0.64 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))))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5dcf8>, <kernel.DependentProduct object at 0x21ad200>) 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
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bNF_re895249473297799549at_rat:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->(nat->rat))->(((nat->rat)->(nat->rat))->Prop))))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5de60>, <kernel.DependentProduct object at 0x21ad1b8>) 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
% 0.45/0.64 Using role type
% 0.45/0.64 Declaring bNF_re728719798268516973at_o_o:(((nat->rat)->((nat->rat)->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->(((nat->rat)->Prop)->Prop))))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5de60>, <kernel.DependentProduct object at 0x21ad0e0>) 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
% 0.45/0.64 Using role type
% 0.45/0.64 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))))
% 0.45/0.64 FOF formula (<kernel.Constant object at 0x2b9825d5dea8>, <kernel.DependentProduct object at 0x21ad368>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re4521903465945308077real_o:(((nat->rat)->(real->Prop))->((((nat->rat)->Prop)->((real->Prop)->Prop))->(((nat->rat)->((nat->rat)->Prop))->((real->(real->Prop))->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad170>, <kernel.DependentProduct object at 0x21ad3b0>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re3023117138289059399t_real:(((nat->rat)->(real->Prop))->(((nat->rat)->(real->Prop))->(((nat->rat)->(nat->rat))->((real->real)->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad3f8>, <kernel.DependentProduct object at 0x21ad488>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re4297313714947099218al_o_o:(((nat->rat)->(real->Prop))->((Prop->(Prop->Prop))->(((nat->rat)->Prop)->((real->Prop)->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad440>, <kernel.DependentProduct object at 0x21ad170>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re3403563459893282935_int_o:((int->(int->Prop))->(((int->Prop)->((int->Prop)->Prop))->((int->(int->Prop))->((int->(int->Prop))->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad4d0>, <kernel.DependentProduct object at 0x21ad638>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re711492959462206631nt_int:((int->(int->Prop))->(((int->int)->((int->int)->Prop))->((int->(int->int))->((int->(int->int))->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad170>, <kernel.DependentProduct object at 0x21ad710>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 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))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad638>, <kernel.DependentProduct object at 0x21ad7a0>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 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))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad710>, <kernel.DependentProduct object at 0x21ad248>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re5089333283451836215nt_o_o:((int->(int->Prop))->((Prop->(Prop->Prop))->((int->Prop)->((int->Prop)->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad7a0>, <kernel.DependentProduct object at 0x21ad758>) of role type named sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring bNF_re4712519889275205905nt_int:((int->(int->Prop))->((int->(int->Prop))->((int->int)->((int->int)->Prop))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x21ad248>, <kernel.DependentProduct object at 0x21ad7e8>) 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
% 0.45/0.65 Using role type
% 0.45/0.65 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad758>, <kernel.DependentProduct object at 0x21ad878>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re2214769303045360666nt_rat:((int->(int->Prop))->((product_prod_int_int->(rat->Prop))->((int->product_prod_int_int)->((int->rat)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad7e8>, <kernel.DependentProduct object at 0x21ad5a8>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re578469030762574527_nat_o:((nat->(nat->Prop))->(((nat->Prop)->((nat->Prop)->Prop))->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad878>, <kernel.DependentProduct object at 0x21adab8>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re1345281282404953727at_nat:((nat->(nat->Prop))->(((nat->nat)->((nat->nat)->Prop))->((nat->(nat->nat))->((nat->(nat->nat))->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad5a8>, <kernel.DependentProduct object at 0x21ad680>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re4705727531993890431at_o_o:((nat->(nat->Prop))->((Prop->(Prop->Prop))->((nat->Prop)->((nat->Prop)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21adab8>, <kernel.DependentProduct object at 0x21ada70>) of role type named sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re5653821019739307937at_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->((nat->nat)->((nat->nat)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad680>, <kernel.DependentProduct object at 0x21adb48>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re6830278522597306478at_int:((nat->(nat->Prop))->((product_prod_nat_nat->(int->Prop))->((nat->product_prod_nat_nat)->((nat->int)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ada70>, <kernel.DependentProduct object at 0x21ad950>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21adb48>, <kernel.DependentProduct object at 0x21adc20>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad950>, <kernel.DependentProduct object at 0x21ad518>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re1494630372529172596at_o_o:((product_prod_int_int->(rat->Prop))->((Prop->(Prop->Prop))->((product_prod_int_int->Prop)->((rat->Prop)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21adc20>, <kernel.DependentProduct object at 0x21adcf8>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad518>, <kernel.DependentProduct object at 0x21ad3b0>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21adcf8>, <kernel.DependentProduct object at 0x21adfc8>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ad3b0>, <kernel.DependentProduct object at 0x21adf38>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re6644619430987730960nt_o_o:((product_prod_nat_nat->(int->Prop))->((Prop->(Prop->Prop))->((product_prod_nat_nat->Prop)->((int->Prop)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21adfc8>, <kernel.DependentProduct object at 0x21ade60>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring bNF_re4555766996558763186at_nat:((product_prod_nat_nat->(int->Prop))->((nat->(nat->Prop))->((product_prod_nat_nat->nat)->((int->nat)->Prop))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21adf38>, <kernel.DependentProduct object at 0x21b0170>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ade60>, <kernel.DependentProduct object at 0x21adf38>) 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
% 0.45/0.66 Using role type
% 0.45/0.66 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))))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x21ade60>, <kernel.DependentProduct object at 0x21b02d8>) 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
% 0.45/0.66 Using role type
% 0.45/0.67 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))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21ade60>, <kernel.DependentProduct object at 0x21b0200>) 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
% 0.45/0.67 Using role type
% 0.45/0.67 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))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21ade60>, <kernel.DependentProduct object at 0x21b0368>) 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
% 0.45/0.67 Using role type
% 0.45/0.67 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))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0050>, <kernel.DependentProduct object at 0x21b0440>) 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
% 0.45/0.67 Using role type
% 0.45/0.67 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))))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21adab8>, <kernel.DependentProduct object at 0x21b0368>) of role type named sy_c_Binomial_Obinomial
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring binomial:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21adab8>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Binomial_Ogbinomial_001t__Complex__Ocomplex
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_complex:(complex->(nat->complex))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0290>, <kernel.DependentProduct object at 0x21b04d0>) of role type named sy_c_Binomial_Ogbinomial_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_int:(int->(nat->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b03b0>, <kernel.DependentProduct object at 0x21b0050>) of role type named sy_c_Binomial_Ogbinomial_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0098>, <kernel.DependentProduct object at 0x21b0290>) of role type named sy_c_Binomial_Ogbinomial_001t__Rat__Orat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_rat:(rat->(nat->rat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0440>, <kernel.DependentProduct object at 0x21b03b0>) of role type named sy_c_Binomial_Ogbinomial_001t__Real__Oreal
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring gbinomial_real:(real->(nat->real))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b03f8>, <kernel.DependentProduct object at 0x21b0440>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0368>, <kernel.DependentProduct object at 0x21b03b0>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_and_not_num:(num->(num->option_num))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b05a8>, <kernel.DependentProduct object at 0x21b03f8>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0098>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b05a8>, <kernel.DependentProduct object at 0x21b0098>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b01b8>, <kernel.DependentProduct object at 0x21b05a8>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0098>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b05a8>, <kernel.DependentProduct object at 0x21b0098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b01b8>, <kernel.DependentProduct object at 0x21b05a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0098>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b05a8>, <kernel.DependentProduct object at 0x21b0098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b01b8>, <kernel.DependentProduct object at 0x21b05a8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0098>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b05a8>, <kernel.DependentProduct object at 0x21b0128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b01b8>, <kernel.DependentProduct object at 0x21b0c68>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0128>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0c68>, <kernel.DependentProduct object at 0x21b0128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b01b8>, <kernel.DependentProduct object at 0x21b0c68>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x21b0128>, <kernel.DependentProduct object at 0x21b01b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b0c68>, <kernel.DependentProduct object at 0x21b0128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b01b8>, <kernel.DependentProduct object at 0x21b0c68>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b0128>, <kernel.DependentProduct object at 0x21b0758>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b0c68>, <kernel.DependentProduct object at 0x21b0f38>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b0c68>, <kernel.DependentProduct object at 0x21b7098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b0c68>, <kernel.DependentProduct object at 0x21b7200>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b0128>, <kernel.DependentProduct object at 0x21b7290>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7200>, <kernel.DependentProduct object at 0x21b7320>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7098>, <kernel.DependentProduct object at 0x21b73b0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7248>, <kernel.DependentProduct object at 0x21b7440>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7128>, <kernel.DependentProduct object at 0x21b7248>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7440>, <kernel.DependentProduct object at 0x21b7128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7560>, <kernel.DependentProduct object at 0x21b7248>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7638>, <kernel.DependentProduct object at 0x21b7440>) of role type named sy_c_Code__Numeral_Obit__cut__integer
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_bit_cut_integer:(code_integer->produc6271795597528267376eger_o)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b72d8>, <kernel.DependentProduct object at 0x21b7638>) of role type named sy_c_Code__Numeral_Odivmod__abs
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_divmod_abs:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7518>, <kernel.DependentProduct object at 0x21b7440>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7710>, <kernel.DependentProduct object at 0x21b7680>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_int_of_integer:(code_integer->int)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7440>, <kernel.DependentProduct object at 0x21b77e8>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_integer_of_int:(int->code_integer)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7200>, <kernel.DependentProduct object at 0x21b77a0>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_nat_of_integer:(code_integer->nat)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7518>, <kernel.DependentProduct object at 0x21b7830>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring code_num_of_integer:(code_integer->num)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7200>, <kernel.DependentProduct object at 0x21b7518>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple8358262395181532106omplex:(set_fi4554929511873752355omplex->filter6041513312241820739omplex)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7830>, <kernel.DependentProduct object at 0x21b7200>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple2936214249959783750l_real:(set_fi7789364187291644575l_real->filter2146258269922977983l_real)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7518>, <kernel.DependentProduct object at 0x21b7998>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Real__Oreal
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple4887499456419720421f_real:(set_real->real)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7200>, <kernel.DependentProduct object at 0x21b7a28>) of role type named sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple7806235888213564991et_nat:(set_set_nat->set_nat)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7998>, <kernel.DependentProduct object at 0x21b7ab8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Extended____Nat__Oenat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple4398354569131411667d_enat:(set_Extended_enat->extended_enat)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7440>, <kernel.DependentProduct object at 0x21b7b48>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring complete_Sup_Sup_nat:(set_nat->nat)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7998>, <kernel.DependentProduct object at 0x21b7b90>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple1385675409528146559p_real:(set_real->real)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7b48>, <kernel.DependentProduct object at 0x21b7c20>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring comple7399068483239264473et_nat:(set_set_nat->set_nat)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b79e0>, <kernel.DependentProduct object at 0x21b7cb0>) of role type named sy_c_Complex_OArg
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring arg:(complex->real)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7a28>, <kernel.DependentProduct object at 0x21b7cf8>) of role type named sy_c_Complex_Ocis
% 0.45/0.68 Using role type
% 0.45/0.68 Declaring cis:(real->complex)
% 0.45/0.68 FOF formula (<kernel.Constant object at 0x21b7bd8>, <kernel.DependentProduct object at 0x21b7d40>) of role type named sy_c_Complex_Ocnj
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring cnj:(complex->complex)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7758>, <kernel.DependentProduct object at 0x21b7bd8>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring complex2:(real->(real->complex))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7dd0>, <kernel.DependentProduct object at 0x21b7e60>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring im:(complex->real)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7bd8>, <kernel.DependentProduct object at 0x21b7e18>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring re:(complex->real)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7b48>, <kernel.DependentProduct object at 0x21b7cf8>) of role type named sy_c_Complex_Ocsqrt
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring csqrt:(complex->complex)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7c20>, <kernel.Constant object at 0x21b7e60>) of role type named sy_c_Complex_Oimaginary__unit
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring imaginary_unit:complex
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7d40>, <kernel.DependentProduct object at 0x21b7bd8>) of role type named sy_c_Complex_Orcis
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring rcis:(real->(real->complex))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7cf8>, <kernel.DependentProduct object at 0x21b7ef0>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7bd8>, <kernel.DependentProduct object at 0x21b7cf8>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7ef0>, <kernel.DependentProduct object at 0x21b7e60>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7c20>, <kernel.DependentProduct object at 0x21b9170>) of role type named sy_c_Divides_Oadjust__div
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring adjust_div:(product_prod_int_int->int)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7e18>, <kernel.DependentProduct object at 0x21b9050>) of role type named sy_c_Divides_Oadjust__mod
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring adjust_mod:(int->(int->int))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7ef0>, <kernel.DependentProduct object at 0x21b9200>) of role type named sy_c_Divides_Odivmod__nat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b7e60>, <kernel.DependentProduct object at 0x21b9098>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b9200>, <kernel.DependentProduct object at 0x21b9050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b91b8>, <kernel.DependentProduct object at 0x21b9248>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b9050>, <kernel.DependentProduct object at 0x21b92d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21b9098>, <kernel.DependentProduct object at 0x21b9050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b92d8>, <kernel.DependentProduct object at 0x21b9098>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b9050>, <kernel.DependentProduct object at 0x21b92d8>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b9098>, <kernel.DependentProduct object at 0x21b9050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b92d8>, <kernel.DependentProduct object at 0x21b9368>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring euclid3395696857347342551nt_int:(int->int)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b9050>, <kernel.DependentProduct object at 0x21b96c8>) of role type named sy_c_Euclidean__Division_Ounique__euclidean__semiring__class_Odivision__segment_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring euclid3398187327856392827nt_nat:(nat->nat)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b93b0>, <kernel.DependentProduct object at 0x21b9758>) of role type named sy_c_Extended__Nat_OeSuc
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring extended_eSuc:(extended_enat->extended_enat)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b95f0>, <kernel.DependentProduct object at 0x21b97a0>) of role type named sy_c_Extended__Nat_Oenat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring extended_enat2:(nat->extended_enat)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b9680>, <kernel.DependentProduct object at 0x21b96c8>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001_Eo
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring extended_case_enat_o:((nat->Prop)->(Prop->(extended_enat->Prop)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b95f0>, <kernel.DependentProduct object at 0x21b97e8>) of role type named sy_c_Extended__Nat_Oenat_Ocase__enat_001t__Extended____Nat__Oenat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring extend3600170679010898289d_enat:((nat->extended_enat)->(extended_enat->(extended_enat->extended_enat)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b96c8>, <kernel.Constant object at 0x21b97a0>) of role type named sy_c_Extended__Nat_Oinfinity__class_Oinfinity_001t__Extended____Nat__Oenat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring extend5688581933313929465d_enat:extended_enat
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b97e8>, <kernel.DependentProduct object at 0x21b96c8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Code____Numeral__Ointeger
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring comm_s8582702949713902594nteger:(code_integer->(nat->code_integer))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b97a0>, <kernel.DependentProduct object at 0x21b97e8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Complex__Ocomplex
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring comm_s2602460028002588243omplex:(complex->(nat->complex))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b96c8>, <kernel.DependentProduct object at 0x21b97a0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring comm_s4660882817536571857er_int:(int->(nat->int))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b97e8>, <kernel.DependentProduct object at 0x21b96c8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring comm_s4663373288045622133er_nat:(nat->(nat->nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0x21b97a0>, <kernel.DependentProduct object at 0x21b97e8>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Rat__Orat
% 0.51/0.69 Using role type
% 0.51/0.70 Declaring comm_s4028243227959126397er_rat:(rat->(nat->rat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b96c8>, <kernel.DependentProduct object at 0x21b97a0>) of role type named sy_c_Factorial_Ocomm__semiring__1__class_Opochhammer_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring comm_s7457072308508201937r_real:(real->(nat->real))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b97e8>, <kernel.DependentProduct object at 0x21b9758>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b97a0>, <kernel.DependentProduct object at 0x21b9d40>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9758>, <kernel.DependentProduct object at 0x21b9dd0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9d40>, <kernel.DependentProduct object at 0x21b9e60>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9dd0>, <kernel.DependentProduct object at 0x21b9ef0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9e60>, <kernel.DependentProduct object at 0x21b9f80>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9ef0>, <kernel.DependentProduct object at 0x2b9825d67050>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9878>, <kernel.DependentProduct object at 0x2b9825d670e0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring inverse_inverse_rat:(rat->rat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9fc8>, <kernel.DependentProduct object at 0x2b9825d67128>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring inverse_inverse_real:(real->real)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9f80>, <kernel.Constant object at 0x21b9e60>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring at_bot_real:filter_real
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b90e0>, <kernel.Constant object at 0x2b9825d67128>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring at_top_nat:filter_nat
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9f80>, <kernel.Constant object at 0x2b9825d670e0>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring at_top_real:filter_real
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b90e0>, <kernel.DependentProduct object at 0x2b9825d67050>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d670e0>, <kernel.DependentProduct object at 0x2b9825d67170>) of role type named sy_c_Filter_Oeventually_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring eventu1038000079068216329at_nat:((product_prod_nat_nat->Prop)->(filter1242075044329608583at_nat->Prop))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x21b9f80>, <kernel.DependentProduct object at 0x2b9825d671b8>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d670e0>, <kernel.DependentProduct object at 0x2b9825d67290>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d673b0>, <kernel.DependentProduct object at 0x2b9825d67098>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67440>, <kernel.DependentProduct object at 0x2b9825d67368>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67488>, <kernel.DependentProduct object at 0x2b9825d67170>) of role type named sy_c_Filter_Ofiltermap_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring filtermap_real_real:((real->real)->(filter_real->filter_real))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67440>, <kernel.DependentProduct object at 0x2b9825d67488>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring princi3496590319149328850omplex:(set_Pr5085853215250843933omplex->filter6041513312241820739omplex)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67170>, <kernel.DependentProduct object at 0x2b9825d67440>) of role type named sy_c_Filter_Oprincipal_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring princi6114159922880469582l_real:(set_Pr6218003697084177305l_real->filter2146258269922977983l_real)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d673f8>, <kernel.DependentProduct object at 0x2b9825d67488>) of role type named sy_c_Filter_Oprod__filter_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring prod_filter_nat_nat:(filter_nat->(filter_nat->filter1242075044329608583at_nat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d675f0>, <kernel.DependentProduct object at 0x2b9825d67638>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_card_complex:(set_complex->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d670e0>, <kernel.DependentProduct object at 0x2b9825d675a8>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_card_int:(set_int->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67560>, <kernel.DependentProduct object at 0x2b9825d67680>) of role type named sy_c_Finite__Set_Ocard_001t__List__Olist_It__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_card_list_nat:(set_list_nat->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67488>, <kernel.DependentProduct object at 0x2b9825d676c8>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_card_nat:(set_nat->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67560>, <kernel.DependentProduct object at 0x2b9825d67710>) of role type named sy_c_Finite__Set_Ocard_001t__Product____Type__Ounit
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite410649719033368117t_unit:(set_Product_unit->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67638>, <kernel.DependentProduct object at 0x2b9825d677a0>) of role type named sy_c_Finite__Set_Ocard_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_card_set_nat:(set_set_nat->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67248>, <kernel.DependentProduct object at 0x2b9825d677e8>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_o:(set_o->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67560>, <kernel.DependentProduct object at 0x2b9825d676c8>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67248>, <kernel.DependentProduct object at 0x2b9825d67878>) of role type named sy_c_Finite__Set_Ofinite_001t__Extended____Nat__Oenat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite4001608067531595151d_enat:(set_Extended_enat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67560>, <kernel.DependentProduct object at 0x2b9825d67908>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_int:(set_int->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d676c8>, <kernel.DependentProduct object at 0x2b9825d67950>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67560>, <kernel.DependentProduct object at 0x2b9825d67998>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67950>, <kernel.DependentProduct object at 0x2b9825d67a28>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite1862508098717546133d_enat:(set_li5464603477888414924d_enat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67998>, <kernel.DependentProduct object at 0x2b9825d67ab8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67a28>, <kernel.DependentProduct object at 0x2b9825d67b48>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67ab8>, <kernel.DependentProduct object at 0x2b9825d67bd8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite500796754983035824at_nat:(set_li5450038453877631591at_nat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67b48>, <kernel.DependentProduct object at 0x2b9825d67c68>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67ab8>, <kernel.DependentProduct object at 0x2b9825d67cf8>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_nat:(set_nat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67bd8>, <kernel.DependentProduct object at 0x2b9825d67d40>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_num:(set_num->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67ab8>, <kernel.DependentProduct object at 0x2b9825d67d88>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite6177210948735845034at_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67bd8>, <kernel.DependentProduct object at 0x2b9825d67e18>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_rat:(set_rat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67d40>, <kernel.DependentProduct object at 0x2b9825d67e60>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite_finite_real:(set_real->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67bd8>, <kernel.DependentProduct object at 0x2b9825d67ea8>) of role type named sy_c_Finite__Set_Ofinite_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite1152437895449049373et_nat:(set_set_nat->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67e60>, <kernel.DependentProduct object at 0x2b9825d67f38>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0x2b9825d67ea8>, <kernel.DependentProduct object at 0x2b9825d67bd8>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d67f80>, <kernel.DependentProduct object at 0x2b9825d67f38>) of role type named sy_c_Fun_Obij__betw_001t__Int__Oint_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_betw_int_nat:((int->nat)->(set_int->(set_nat->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d67ea8>, <kernel.DependentProduct object at 0x2b9825d6b128>) of role type named sy_c_Fun_Obij__betw_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_be8532844293280997160at_nat:((list_nat->nat)->(set_list_nat->(set_nat->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d67f80>, <kernel.DependentProduct object at 0x2b9825d6b128>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d67f38>, <kernel.DependentProduct object at 0x2b9825d6b128>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_betw_nat_int:((nat->int)->(set_nat->(set_int->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b170>, <kernel.DependentProduct object at 0x2b9825d6b290>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_be6293887246118711976st_nat:((nat->list_nat)->(set_nat->(set_list_nat->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d67ea8>, <kernel.DependentProduct object at 0x2b9825d6b290>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b128>, <kernel.DependentProduct object at 0x2b9825d6b200>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_be8693218025023041337at_nat:((nat->product_prod_nat_nat)->(set_nat->(set_Pr1261947904930325089at_nat->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b248>, <kernel.DependentProduct object at 0x2b9825d6b200>) of role type named sy_c_Fun_Obij__betw_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bij_be5333170631980326235at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->(set_nat->Prop)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b128>, <kernel.DependentProduct object at 0x2b9825d6b248>) 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
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring comp_C8797469213163452608nteger:(((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->(code_integer->code_integer))->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b200>, <kernel.DependentProduct object at 0x2b9825d6b128>) 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
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring comp_C1593894019821074884nteger:((code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))->((code_integer->code_integer)->(code_integer->(produc8923325533196201883nteger->produc8923325533196201883nteger))))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b440>, <kernel.DependentProduct object at 0x2b9825d6b518>) of role type named sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring comp_int_nat_int:((int->nat)->((int->int)->(int->nat)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b368>, <kernel.DependentProduct object at 0x2b9825d6b680>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring comp_nat_nat_nat:((nat->nat)->((nat->nat)->(nat->nat)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b3b0>, <kernel.DependentProduct object at 0x2b9825d6b248>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Real__Oreal_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring comp_nat_real_nat:((nat->real)->((nat->nat)->(nat->real)))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b6c8>, <kernel.DependentProduct object at 0x2b9825d6b5a8>) of role type named sy_c_Fun_Oid_001_Eo
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring id_o:(Prop->Prop)
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b0e0>, <kernel.DependentProduct object at 0x2b9825d6b200>) of role type named sy_c_Fun_Oid_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring id_nat:(nat->nat)
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b4d0>, <kernel.DependentProduct object at 0x2b9825d6b200>) of role type named sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_int_nat:((int->nat)->(set_int->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b0e0>, <kernel.DependentProduct object at 0x2b9825d6b680>) of role type named sy_c_Fun_Oinj__on_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_list_nat_nat:((list_nat->nat)->(set_list_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b200>, <kernel.DependentProduct object at 0x2b9825d6b6c8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_nat_int:((nat->int)->(set_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b680>, <kernel.DependentProduct object at 0x2b9825d6b3b0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_nat_list_nat:((nat->list_nat)->(set_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b6c8>, <kernel.DependentProduct object at 0x2b9825d6b5a8>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b680>, <kernel.DependentProduct object at 0x2b9825d6b3b0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on5538052773655684606at_nat:((nat->product_prod_nat_nat)->(set_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b4d0>, <kernel.DependentProduct object at 0x2b9825d6b0e0>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b680>, <kernel.DependentProduct object at 0x2b9825d6b488>) of role type named sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on2178005380612969504at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b908>, <kernel.DependentProduct object at 0x2b9825d6b8c0>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b488>, <kernel.DependentProduct object at 0x2b9825d6b878>) of role type named sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring inj_on_set_nat_nat:((set_nat->nat)->(set_set_nat->Prop))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0x2b9825d6b908>, <kernel.DependentProduct object at 0x2b9825d6b950>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 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)))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6b878>, <kernel.DependentProduct object at 0x2b9825d6b0e0>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 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)))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6b950>, <kernel.DependentProduct object at 0x2b9825d6b878>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu4826362097070443709at_o_o:((int->product_prod_nat_nat)->((Prop->Prop)->((product_prod_nat_nat->Prop)->(int->Prop))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6b0e0>, <kernel.DependentProduct object at 0x2b9825d6bcb0>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu2345160673673942751at_nat:((int->product_prod_nat_nat)->((nat->nat)->((product_prod_nat_nat->nat)->(int->nat))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6b878>, <kernel.DependentProduct object at 0x2b9825d6bd88>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu3667384564859982768at_int:((int->product_prod_nat_nat)->((product_prod_nat_nat->int)->((product_prod_nat_nat->product_prod_nat_nat)->(int->int))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6bcb0>, <kernel.DependentProduct object at 0x2b9825d6b878>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu898904425404107465nt_o_o:((rat->product_prod_int_int)->((Prop->Prop)->((product_prod_int_int->Prop)->(rat->Prop))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6bd88>, <kernel.DependentProduct object at 0x2b9825d6be60>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu5673905371560938248nt_rat:((rat->product_prod_int_int)->((product_prod_int_int->rat)->((product_prod_int_int->product_prod_int_int)->(rat->rat))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6b878>, <kernel.DependentProduct object at 0x2b9825d6bcb0>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu1532550112467129777l_real:((real->(nat->rat))->((((nat->rat)->(nat->rat))->(real->real))->(((nat->rat)->((nat->rat)->(nat->rat)))->(real->(real->real)))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6be60>, <kernel.DependentProduct object at 0x2b9825d6be18>) 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
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring map_fu7146612038024189824t_real:((real->(nat->rat))->(((nat->rat)->real)->(((nat->rat)->(nat->rat))->(real->real))))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0x2b9825d6bcb0>, <kernel.DependentProduct object at 0x2b9825d6bdd0>) 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
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring map_fu1856342031159181835at_o_o:((real->(nat->rat))->((Prop->Prop)->(((nat->rat)->Prop)->(real->Prop))))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6be18>, <kernel.DependentProduct object at 0x2b9825d6bd40>) of role type named sy_c_Fun_Ostrict__mono__on_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring strict1292158309912662752at_nat:((nat->nat)->(set_nat->Prop))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bdd0>, <kernel.DependentProduct object at 0x2b9825d70128>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bcb0>, <kernel.DependentProduct object at 0x2b9825d70128>) of role type named sy_c_Fun__Def_Ois__measure_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_is_measure_int:((int->nat)->Prop)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bef0>, <kernel.Constant object at 0x2b9825d70128>) of role type named sy_c_Fun__Def_Omax__strict
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_max_strict:set_Pr4329608150637261639at_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bdd0>, <kernel.Constant object at 0x2b9825d70128>) of role type named sy_c_Fun__Def_Omax__weak
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_max_weak:set_Pr4329608150637261639at_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bcb0>, <kernel.Constant object at 0x2b9825d70128>) of role type named sy_c_Fun__Def_Omin__strict
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_min_strict:set_Pr4329608150637261639at_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bdd0>, <kernel.Constant object at 0x2b9825d70050>) of role type named sy_c_Fun__Def_Omin__weak
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_min_weak:set_Pr4329608150637261639at_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bcb0>, <kernel.Constant object at 0x2b9825d700e0>) of role type named sy_c_Fun__Def_Opair__leq
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_pair_leq:set_Pr8693737435421807431at_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d6bcb0>, <kernel.Constant object at 0x2b9825d70128>) of role type named sy_c_Fun__Def_Opair__less
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_pair_less:set_Pr8693737435421807431at_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70200>, <kernel.DependentProduct object at 0x2b9825d702d8>) of role type named sy_c_Fun__Def_Oreduction__pair_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring fun_re2478310338295953701at_nat:(produc1319942482725812455at_nat->Prop)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70098>, <kernel.DependentProduct object at 0x2b9825d703b0>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_Gcd_int:(set_int->int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70290>, <kernel.DependentProduct object at 0x2b9825d703f8>) of role type named sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_Gcd_nat:(set_nat->nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70050>, <kernel.DependentProduct object at 0x2b9825d70440>) of role type named sy_c_GCD_OGcd__class_OLcm_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_Lcm_int:(set_int->int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d702d8>, <kernel.DependentProduct object at 0x2b9825d70488>) of role type named sy_c_GCD_OGcd__class_OLcm_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_Lcm_nat:(set_nat->nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d703b0>, <kernel.DependentProduct object at 0x2b9825d70050>) of role type named sy_c_GCD_Obezw
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring bezw:(nat->(nat->product_prod_int_int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d704d0>, <kernel.DependentProduct object at 0x2b9825d702d8>) of role type named sy_c_GCD_Obezw__rel
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring bezw_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70098>, <kernel.DependentProduct object at 0x2b9825d703b0>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_gcd_Code_integer:(code_integer->(code_integer->code_integer))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70518>, <kernel.DependentProduct object at 0x2b9825d704d0>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_gcd_int:(int->(int->int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d705a8>, <kernel.DependentProduct object at 0x2b9825d70098>) of role type named sy_c_GCD_Ogcd__class_Ogcd_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_gcd_nat:(nat->(nat->nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70488>, <kernel.DependentProduct object at 0x2b9825d70518>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_lcm_int:(int->(int->int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70560>, <kernel.DependentProduct object at 0x2b9825d705a8>) of role type named sy_c_GCD_Ogcd__class_Olcm_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_lcm_nat:(nat->(nat->nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d703f8>, <kernel.DependentProduct object at 0x2b9825d70488>) of role type named sy_c_GCD_Ogcd__nat__rel
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring gcd_nat_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70440>, <kernel.DependentProduct object at 0x2b9825d703b0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70518>, <kernel.DependentProduct object at 0x2b9825d70758>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring abs_abs_complex:(complex->complex)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70710>, <kernel.DependentProduct object at 0x2b9825d707a0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring abs_abs_int:(int->int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70488>, <kernel.DependentProduct object at 0x2b9825d707e8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring abs_abs_rat:(rat->rat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d703b0>, <kernel.DependentProduct object at 0x2b9825d70830>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring abs_abs_real:(real->real)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70488>, <kernel.DependentProduct object at 0x2b9825d703b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70878>, <kernel.DependentProduct object at 0x2b9825d70830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70488>, <kernel.DependentProduct object at 0x2b9825d70878>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70950>, <kernel.DependentProduct object at 0x2b9825d70830>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_int:(int->(int->int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70758>, <kernel.DependentProduct object at 0x2b9825d70488>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70a28>, <kernel.DependentProduct object at 0x2b9825d70950>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d703b0>, <kernel.DependentProduct object at 0x2b9825d70758>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_real:(real->(real->real))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70a28>, <kernel.DependentProduct object at 0x2b9825d703b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70758>, <kernel.DependentProduct object at 0x2b9825d70a28>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_925952699566721837d_enat:(set_Extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70908>, <kernel.DependentProduct object at 0x2b9825d703b0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70878>, <kernel.DependentProduct object at 0x2b9825d70758>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70c68>, <kernel.DependentProduct object at 0x2b9825d70908>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70878>, <kernel.DependentProduct object at 0x2b9825d70c68>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring minus_2163939370556025621et_nat:(set_set_nat->(set_set_nat->set_set_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70170>, <kernel.DependentProduct object at 0x2b9825d70dd0>) of role type named sy_c_Groups_Omonoid_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring monoid_nat:((nat->(nat->nat))->(nat->Prop))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70758>, <kernel.Constant object at 0x2b9825d70170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_one_Code_integer:code_integer
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70d88>, <kernel.Constant object at 0x2b9825d70170>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_one_complex:complex
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70758>, <kernel.Constant object at 0x2b9825d70dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d709e0>, <kernel.Constant object at 0x2b9825d70dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_one_int:int
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70e60>, <kernel.Constant object at 0x2b9825d70dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_one_nat:nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70c20>, <kernel.Constant object at 0x2b9825d70dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_one_rat:rat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70ea8>, <kernel.Constant object at 0x2b9825d70dd0>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring one_one_real:real
% 0.51/0.73 FOF formula (<kernel.Constant object at 0x2b9825d70c20>, <kernel.DependentProduct object at 0x2b9825d70ea8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70878>, <kernel.DependentProduct object at 0x2b9825d70f38>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70c20>, <kernel.DependentProduct object at 0x2b9825d70ea8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70878>, <kernel.DependentProduct object at 0x2b9825d74170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_int:(int->(int->int))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70c20>, <kernel.DependentProduct object at 0x2b9825d74248>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70ea8>, <kernel.DependentProduct object at 0x2b9825d74290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_num:(num->(num->num))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70c20>, <kernel.DependentProduct object at 0x2b9825d74050>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70ea8>, <kernel.DependentProduct object at 0x2b9825d74170>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_real:(real->(real->real))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d70ea8>, <kernel.DependentProduct object at 0x2b9825d742d8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__String__Oliteral
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring plus_plus_literal:(literal->(literal->literal))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74128>, <kernel.DependentProduct object at 0x2b9825d74200>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring sgn_sgn_Code_integer:(code_integer->code_integer)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74050>, <kernel.DependentProduct object at 0x2b9825d74290>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring sgn_sgn_complex:(complex->complex)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74170>, <kernel.DependentProduct object at 0x2b9825d743f8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring sgn_sgn_int:(int->int)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d742d8>, <kernel.DependentProduct object at 0x2b9825d74440>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Rat__Orat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring sgn_sgn_rat:(rat->rat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74200>, <kernel.DependentProduct object at 0x2b9825d74488>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring sgn_sgn_real:(real->real)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d742d8>, <kernel.DependentProduct object at 0x2b9825d74200>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d744d0>, <kernel.DependentProduct object at 0x2b9825d74488>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_times_complex:(complex->(complex->complex))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d742d8>, <kernel.DependentProduct object at 0x2b9825d744d0>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d745a8>, <kernel.DependentProduct object at 0x2b9825d74488>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_times_int:(int->(int->int))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74290>, <kernel.DependentProduct object at 0x2b9825d742d8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_times_nat:(nat->(nat->nat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74680>, <kernel.DependentProduct object at 0x2b9825d745a8>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_times_num:(num->(num->num))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74200>, <kernel.DependentProduct object at 0x2b9825d74290>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_times_rat:(rat->(rat->rat))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74560>, <kernel.DependentProduct object at 0x2b9825d74680>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring times_times_real:(real->(real->real))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74200>, <kernel.DependentProduct object at 0x2b9825d74488>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74680>, <kernel.DependentProduct object at 0x2b9825d74830>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d744d0>, <kernel.DependentProduct object at 0x2b9825d748c0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring uminus_uminus_int:(int->int)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d747e8>, <kernel.DependentProduct object at 0x2b9825d74908>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring uminus_uminus_rat:(rat->rat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d742d8>, <kernel.DependentProduct object at 0x2b9825d74950>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring uminus_uminus_real:(real->real)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d747e8>, <kernel.DependentProduct object at 0x2b9825d74998>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74950>, <kernel.Constant object at 0x2b9825d74908>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring zero_z3403309356797280102nteger:code_integer
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d744d0>, <kernel.Constant object at 0x2b9825d74908>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring zero_zero_complex:complex
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74950>, <kernel.Constant object at 0x2b9825d74830>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74a28>, <kernel.Constant object at 0x2b9825d74830>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring zero_zero_int:int
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74ab8>, <kernel.Constant object at 0x2b9825d74830>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring zero_zero_nat:nat
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74b00>, <kernel.Constant object at 0x2b9825d74830>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring zero_zero_rat:rat
% 0.51/0.74 FOF formula (<kernel.Constant object at 0x2b9825d74b48>, <kernel.Constant object at 0x2b9825d74830>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring zero_zero_real:real
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74b90>, <kernel.Constant object at 0x2b9825d74830>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__String__Oliteral
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring zero_zero_literal:literal
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74b48>, <kernel.DependentProduct object at 0x2b9825d74b90>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001_Eo_001t__Nat__Onat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups8507830703676809646_o_nat:((Prop->nat)->(set_o->nat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74830>, <kernel.DependentProduct object at 0x2b9825d74cf8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74b90>, <kernel.DependentProduct object at 0x2b9825d74b48>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74cf8>, <kernel.DependentProduct object at 0x2b9825d74830>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74b48>, <kernel.DependentProduct object at 0x2b9825d74b90>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74830>, <kernel.DependentProduct object at 0x2b9825d74cf8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74b90>, <kernel.DependentProduct object at 0x2b9825d74b48>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74cf8>, <kernel.DependentProduct object at 0x2b9825d74b90>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Int__Oint
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups2025484359314973016at_int:((extended_enat->int)->(set_Extended_enat->int))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74cf8>, <kernel.DependentProduct object at 0x2b9825d75050>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups2027974829824023292at_nat:((extended_enat->nat)->(set_Extended_enat->nat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74cf8>, <kernel.DependentProduct object at 0x2b9825d75170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Rat__Orat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups1392844769737527556at_rat:((extended_enat->rat)->(set_Extended_enat->rat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d74c68>, <kernel.DependentProduct object at 0x2b9825d751b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups4148127829035722712t_real:((extended_enat->real)->(set_Extended_enat->real))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75248>, <kernel.DependentProduct object at 0x2b9825d75290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75320>, <kernel.DependentProduct object at 0x2b9825d75200>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d752d8>, <kernel.DependentProduct object at 0x2b9825d75248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d753b0>, <kernel.DependentProduct object at 0x2b9825d75440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d752d8>, <kernel.DependentProduct object at 0x2b9825d75320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75440>, <kernel.DependentProduct object at 0x2b9825d753b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75320>, <kernel.DependentProduct object at 0x2b9825d752d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d753b0>, <kernel.DependentProduct object at 0x2b9825d75440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d752d8>, <kernel.DependentProduct object at 0x2b9825d75320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Extended____Nat__Oenat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups7108830773950497114d_enat:((nat->extended_enat)->(set_nat->extended_enat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75440>, <kernel.DependentProduct object at 0x2b9825d753b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75320>, <kernel.DependentProduct object at 0x2b9825d752d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d753b0>, <kernel.DependentProduct object at 0x2b9825d75440>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d752d8>, <kernel.DependentProduct object at 0x2b9825d75320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.51/0.75 FOF formula (<kernel.Constant object at 0x2b9825d75440>, <kernel.DependentProduct object at 0x2b9825d75248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.75 Using role type
% 0.51/0.75 Declaring groups977919841031483927at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75320>, <kernel.DependentProduct object at 0x2b9825d750e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups4567486121110086003t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75248>, <kernel.DependentProduct object at 0x2b9825d753b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d750e0>, <kernel.DependentProduct object at 0x2b9825d75320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d753b0>, <kernel.DependentProduct object at 0x2b9825d75248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Int__Oint
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups1932886352136224148al_int:((real->int)->(set_real->int))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75320>, <kernel.DependentProduct object at 0x2b9825d750e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75248>, <kernel.DependentProduct object at 0x2b9825d753b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d750e0>, <kernel.DependentProduct object at 0x2b9825d75320>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d753b0>, <kernel.DependentProduct object at 0x2b9825d75248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups8294997508430121362at_nat:((set_nat->nat)->(set_set_nat->nat))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75320>, <kernel.DependentProduct object at 0x2b9825d750e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups5107569545109728110t_real:((set_nat->real)->(set_set_nat->real))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75248>, <kernel.DependentProduct object at 0x2b9825d753b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d750e0>, <kernel.DependentProduct object at 0x2b9825d75248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups3708469109370488835omplex:((complex->complex)->(set_complex->complex))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d750e0>, <kernel.DependentProduct object at 0x2b9825d77050>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Int__Oint
% 0.51/0.76 Using role type
% 0.51/0.76 Declaring groups858564598930262913ex_int:((complex->int)->(set_complex->int))
% 0.51/0.76 FOF formula (<kernel.Constant object at 0x2b9825d750e0>, <kernel.DependentProduct object at 0x2b9825d77170>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups861055069439313189ex_nat:((complex->nat)->(set_complex->nat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d75a70>, <kernel.DependentProduct object at 0x2b9825d771b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups225925009352817453ex_rat:((complex->rat)->(set_complex->rat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d77248>, <kernel.DependentProduct object at 0x2b9825d77290>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups766887009212190081x_real:((complex->real)->(set_complex->real))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d77200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Complex__Ocomplex
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups4622424608036095791omplex:((extended_enat->complex)->(set_Extended_enat->complex))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d772d8>, <kernel.DependentProduct object at 0x2b9825d77248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups2878480467620962989at_int:((extended_enat->int)->(set_Extended_enat->int))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d773b0>, <kernel.DependentProduct object at 0x2b9825d77440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups2880970938130013265at_nat:((extended_enat->nat)->(set_Extended_enat->nat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d772d8>, <kernel.DependentProduct object at 0x2b9825d77320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Rat__Orat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups2245840878043517529at_rat:((extended_enat->rat)->(set_Extended_enat->rat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d77440>, <kernel.DependentProduct object at 0x2b9825d773b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups97031904164794029t_real:((extended_enat->real)->(set_Extended_enat->real))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d772d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Complex__Ocomplex
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups7440179247065528705omplex:((int->complex)->(set_int->complex))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d773b0>, <kernel.DependentProduct object at 0x2b9825d77440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d772d8>, <kernel.DependentProduct object at 0x2b9825d77320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Nat__Onat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups1707563613775114915nt_nat:((int->nat)->(set_int->nat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d77440>, <kernel.DependentProduct object at 0x2b9825d773b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Rat__Orat
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups1072433553688619179nt_rat:((int->rat)->(set_int->rat))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d772d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Real__Oreal
% 0.59/0.76 Using role type
% 0.59/0.76 Declaring groups2316167850115554303t_real:((int->real)->(set_int->real))
% 0.59/0.76 FOF formula (<kernel.Constant object at 0x2b9825d773b0>, <kernel.DependentProduct object at 0x2b9825d77440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups6464643781859351333omplex:((nat->complex)->(set_nat->complex))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d772d8>, <kernel.DependentProduct object at 0x2b9825d77320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77440>, <kernel.DependentProduct object at 0x2b9825d773b0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d772d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups73079841787564623at_rat:((nat->rat)->(set_nat->rat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d773b0>, <kernel.DependentProduct object at 0x2b9825d77440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups129246275422532515t_real:((nat->real)->(set_nat->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d772d8>, <kernel.DependentProduct object at 0x2b9825d770e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4077766827762148844at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77440>, <kernel.DependentProduct object at 0x2b9825d77248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups6036352826371341000t_real:((product_prod_nat_nat->real)->(set_Pr1261947904930325089at_nat->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d770e0>, <kernel.DependentProduct object at 0x2b9825d77320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups713298508707869441omplex:((real->complex)->(set_real->complex))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77248>, <kernel.DependentProduct object at 0x2b9825d77440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4694064378042380927al_int:((real->int)->(set_real->int))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d770e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4696554848551431203al_nat:((real->nat)->(set_real->nat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77440>, <kernel.DependentProduct object at 0x2b9825d77248>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4061424788464935467al_rat:((real->rat)->(set_real->rat))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d770e0>, <kernel.DependentProduct object at 0x2b9825d77320>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups1681761925125756287l_real:((real->real)->(set_real->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77248>, <kernel.DependentProduct object at 0x2b9825d77440>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Set__Oset_It__Nat__Onat_J_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups3619160379726066777t_real:((set_nat->real)->(set_set_nat->real))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d7b050>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77320>, <kernel.DependentProduct object at 0x2b9825d7b248>) of role type named sy_c_Groups__List_Omonoid__add__class_Osum__list_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring groups4561878855575611511st_nat:(list_nat->nat)
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77cb0>, <kernel.DependentProduct object at 0x2b9825d7b200>) of role type named sy_c_HOL_ONO__MATCH_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MAT8252062027627875367nteger:(code_integer->(code_integer->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b248>, <kernel.DependentProduct object at 0x2b9825d7b098>) of role type named sy_c_HOL_ONO__MATCH_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MAT8947977539597988553omplex:(complex->(complex->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b290>, <kernel.DependentProduct object at 0x2b9825d7b2d8>) of role type named sy_c_HOL_ONO__MATCH_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MAT9165723751696580935x_real:(complex->(real->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d77cb0>, <kernel.DependentProduct object at 0x2b9825d7b050>) of role type named sy_c_HOL_ONO__MATCH_001t__Int__Oint_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_int_int:(int->(int->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b3b0>, <kernel.DependentProduct object at 0x2b9825d7b320>) of role type named sy_c_HOL_ONO__MATCH_001t__Int__Oint_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_int_nat:(int->(nat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b0e0>, <kernel.DependentProduct object at 0x2b9825d7b290>) of role type named sy_c_HOL_ONO__MATCH_001t__Int__Oint_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_int_rat:(int->(rat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b248>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_HOL_ONO__MATCH_001t__Int__Oint_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_int_real:(int->(real->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b2d8>, <kernel.DependentProduct object at 0x2b9825d7b0e0>) of role type named sy_c_HOL_ONO__MATCH_001t__Nat__Onat_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_nat_int:(nat->(int->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b050>, <kernel.DependentProduct object at 0x2b9825d7b248>) of role type named sy_c_HOL_ONO__MATCH_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_nat_nat:(nat->(nat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b320>, <kernel.DependentProduct object at 0x2b9825d7b2d8>) of role type named sy_c_HOL_ONO__MATCH_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_nat_rat:(nat->(rat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b290>, <kernel.DependentProduct object at 0x2b9825d7b050>) of role type named sy_c_HOL_ONO__MATCH_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_nat_real:(nat->(real->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b3b0>, <kernel.DependentProduct object at 0x2b9825d7b320>) of role type named sy_c_HOL_ONO__MATCH_001t__Rat__Orat_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_rat_rat:(rat->(rat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b0e0>, <kernel.DependentProduct object at 0x2b9825d7b290>) of role type named sy_c_HOL_ONO__MATCH_001t__Real__Oreal_001t__Int__Oint
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_real_int:(real->(int->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b248>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_HOL_ONO__MATCH_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.77 Using role type
% 0.60/0.77 Declaring nO_MATCH_real_rat:(real->(rat->Prop))
% 0.60/0.77 FOF formula (<kernel.Constant object at 0x2b9825d7b2d8>, <kernel.DependentProduct object at 0x2b9825d7b0e0>) of role type named sy_c_HOL_ONO__MATCH_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring nO_MATCH_real_real:(real->(real->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b1b8>, <kernel.DependentProduct object at 0x2b9825d7b7a0>) of role type named sy_c_HOL_OThe_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_int:((int->Prop)->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b248>, <kernel.DependentProduct object at 0x2b9825d7b2d8>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_Pr4378521158711661632nt_int:((product_prod_int_int->Prop)->product_prod_int_int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b050>, <kernel.DependentProduct object at 0x2b9825d7b878>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring the_real:((real->Prop)->real)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b3f8>, <kernel.DependentProduct object at 0x2b9825d7b8c0>) of role type named sy_c_If_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_nat_rat:(Prop->((nat->rat)->((nat->rat)->(nat->rat))))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b248>, <kernel.DependentProduct object at 0x2b9825d7b8c0>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b3b0>, <kernel.DependentProduct object at 0x2b9825d7b878>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b9e0>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__Extended____Nat__Oenat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_Extended_enat:(Prop->(extended_enat->(extended_enat->extended_enat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b998>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__Int__Oint
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_int:(Prop->(int->(int->int)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b0e0>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7ba70>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bab8>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bb00>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__Num__Onum
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_num:(Prop->(num->(num->num)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bb48>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bb90>, <kernel.DependentProduct object at 0x2b9825d7b3b0>) of role type named sy_c_If_001t__Option__Ooption_It__Num__Onum_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_option_num:(Prop->(option_num->(option_num->option_num)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bb48>, <kernel.DependentProduct object at 0x2b9825d7b1b8>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_Pro5737122678794959658eger_o:(Prop->(produc6271795597528267376eger_o->(produc6271795597528267376eger_o->produc6271795597528267376eger_o)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b3b0>, <kernel.DependentProduct object at 0x2b9825d7b248>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b1b8>, <kernel.DependentProduct object at 0x2b9825d7b8c0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b248>, <kernel.DependentProduct object at 0x2b9825d7bb90>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bd40>, <kernel.DependentProduct object at 0x2b9825d7bb90>) of role type named sy_c_If_001t__Rat__Orat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bdd0>, <kernel.DependentProduct object at 0x2b9825d7bb90>) of role type named sy_c_If_001t__Real__Oreal
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_real:(Prop->(real->(real->real)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bea8>, <kernel.DependentProduct object at 0x2b9825d7bb90>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bef0>, <kernel.DependentProduct object at 0x2b9825d7bb90>) of role type named sy_c_If_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_set_nat:(Prop->(set_nat->(set_nat->set_nat)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bf38>, <kernel.DependentProduct object at 0x2b9825d7bb90>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bef0>, <kernel.DependentProduct object at 0x2b9825d7bf38>) of role type named sy_c_Infinite__Set_Owellorder__class_Oenumerate_001t__Nat__Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring infini8530281810654367211te_nat:(set_nat->(nat->nat))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bfc8>, <kernel.DependentProduct object at 0x2b9825d7bf80>) of role type named sy_c_Int_OAbs__Integ
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring abs_Integ:(product_prod_nat_nat->int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bdd0>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Int_ORep__Integ
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring rep_Integ:(int->product_prod_nat_nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bea8>, <kernel.DependentProduct object at 0x274d050>) of role type named sy_c_Int_Ocr__int
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring cr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b050>, <kernel.DependentProduct object at 0x274d098>) of role type named sy_c_Int_Oint__ge__less__than
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bef0>, <kernel.DependentProduct object at 0x274d098>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bb90>, <kernel.DependentProduct object at 0x274d170>) of role type named sy_c_Int_Ointrel
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring intrel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b050>, <kernel.DependentProduct object at 0x274d128>) of role type named sy_c_Int_Onat
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring nat2:(int->nat)
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7bef0>, <kernel.DependentProduct object at 0x274d1b8>) of role type named sy_c_Int_Opcr__int
% 0.60/0.78 Using role type
% 0.60/0.78 Declaring pcr_int:(product_prod_nat_nat->(int->Prop))
% 0.60/0.78 FOF formula (<kernel.Constant object at 0x2b9825d7b050>, <kernel.DependentProduct object at 0x274d0e0>) of role type named sy_c_Int_Opower__int_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring power_int_real:(real->(int->real))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d200>, <kernel.Constant object at 0x274d170>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_11222124179247155820nteger:set_Code_integer
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x2b9825d7bef0>, <kernel.Constant object at 0x274d170>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_complex:set_complex
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d2d8>, <kernel.Constant object at 0x274d170>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_int:set_int
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.Constant object at 0x274d170>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_rat:set_rat
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d050>, <kernel.Constant object at 0x274d170>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_Ints_real:set_real
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d290>, <kernel.DependentProduct object at 0x274d440>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d170>, <kernel.DependentProduct object at 0x274d4d0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d320>, <kernel.DependentProduct object at 0x274d560>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_of_int_int:(int->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d3f8>, <kernel.DependentProduct object at 0x274d5a8>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_of_int_rat:(int->rat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d488>, <kernel.DependentProduct object at 0x274d5f0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring ring_1_of_int_real:(int->real)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d4d0>, <kernel.DependentProduct object at 0x274d3f8>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring inf_inf_int:(int->(int->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d638>, <kernel.DependentProduct object at 0x274d488>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring inf_inf_nat:(nat->(nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d4d0>, <kernel.DependentProduct object at 0x274d5f0>) 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
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring inf_in2572325071724192079at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d488>, <kernel.DependentProduct object at 0x274d638>) of role type named sy_c_Lattices_Osemilattice__neutr_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring semila9081495762789891438tr_nat:((nat->(nat->nat))->(nat->Prop))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d5f0>, <kernel.DependentProduct object at 0x274d5a8>) of role type named sy_c_Lattices_Osemilattice__neutr__order_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring semila1623282765462674594er_nat:((nat->(nat->nat))->(nat->((nat->(nat->Prop))->((nat->(nat->Prop))->Prop))))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d830>, <kernel.DependentProduct object at 0x274d638>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring sup_sup_int:(int->(int->int))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d8c0>, <kernel.DependentProduct object at 0x274d5f0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring sup_sup_nat:(nat->(nat->nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d950>, <kernel.DependentProduct object at 0x274d830>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring sup_sup_set_nat:(set_nat->(set_nat->set_nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d8c0>, <kernel.DependentProduct object at 0x274d638>) of role type named sy_c_Lattices_Osup__class_Osup_001t__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
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring sup_su718114333110466843at_nat:(set_Pr8693737435421807431at_nat->(set_Pr8693737435421807431at_nat->set_Pr8693737435421807431at_nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d830>, <kernel.DependentProduct object at 0x274d758>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring sup_su5525570899277871387at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->set_Pr4329608150637261639at_nat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d638>, <kernel.DependentProduct object at 0x274d8c0>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Extended____Nat__Oenat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic921264341876707157d_enat:(set_Extended_enat->extended_enat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d758>, <kernel.DependentProduct object at 0x274db00>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d8c0>, <kernel.DependentProduct object at 0x274db90>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274db00>, <kernel.DependentProduct object at 0x274da28>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic1922116423962787043ex_num:((complex->num)->(set_complex->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274db90>, <kernel.DependentProduct object at 0x274d8c0>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic4729654577720512673ex_rat:((complex->rat)->(set_complex->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274da28>, <kernel.DependentProduct object at 0x274db00>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic8794016678065449205x_real:((complex->real)->(set_complex->complex))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274d8c0>, <kernel.DependentProduct object at 0x274db90>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Extended____Nat__Oenat_001t__Num__Onum
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic402713867396545063at_num:((extended_enat->num)->(set_Extended_enat->extended_enat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274db00>, <kernel.DependentProduct object at 0x274da28>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Extended____Nat__Oenat_001t__Rat__Orat
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic3210252021154270693at_rat:((extended_enat->rat)->(set_Extended_enat->extended_enat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274db90>, <kernel.DependentProduct object at 0x274d8c0>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Extended____Nat__Oenat_001t__Real__Oreal
% 0.60/0.79 Using role type
% 0.60/0.79 Declaring lattic1189837152898106425t_real:((extended_enat->real)->(set_Extended_enat->extended_enat))
% 0.60/0.79 FOF formula (<kernel.Constant object at 0x274da28>, <kernel.DependentProduct object at 0x274db00>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Num__Onum
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic5003618458639192673nt_num:((int->num)->(set_int->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x274d8c0>, <kernel.DependentProduct object at 0x274db90>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic7811156612396918303nt_rat:((int->rat)->(set_int->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x274db00>, <kernel.DependentProduct object at 0x274dab8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Int__Oint_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic2675449441010098035t_real:((int->real)->(set_int->int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x274db00>, <kernel.DependentProduct object at 0x273a098>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Num__Onum
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic4004264746738138117at_num:((nat->num)->(set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x274db00>, <kernel.DependentProduct object at 0x273a128>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic6811802900495863747at_rat:((nat->rat)->(set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x274d8c0>, <kernel.DependentProduct object at 0x273a170>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic488527866317076247t_real:((nat->real)->(set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a200>, <kernel.DependentProduct object at 0x273a248>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Num__Onum
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic1613168225601753569al_num:((real->num)->(set_real->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a2d8>, <kernel.DependentProduct object at 0x273a1b8>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Rat__Orat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic4420706379359479199al_rat:((real->rat)->(set_real->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a290>, <kernel.DependentProduct object at 0x273a200>) of role type named sy_c_Lattices__Big_Oord__class_Oarg__min__on_001t__Real__Oreal_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring lattic8440615504127631091l_real:((real->real)->(set_real->real))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a368>, <kernel.DependentProduct object at 0x273a488>) of role type named sy_c_Lifting_OQuotient_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring quotie3684837364556693515t_real:(((nat->rat)->((nat->rat)->Prop))->(((nat->rat)->real)->((real->(nat->rat))->(((nat->rat)->(real->Prop))->Prop))))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a290>, <kernel.DependentProduct object at 0x273a680>) of role type named sy_c_Lifting_OQuotient_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 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))))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a518>, <kernel.DependentProduct object at 0x273a440>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a320>, <kernel.DependentProduct object at 0x273a518>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a680>, <kernel.DependentProduct object at 0x273a638>) of role type named sy_c_List_Ocount__list_001_Eo
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_o:(list_o->(Prop->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a758>, <kernel.DependentProduct object at 0x273a290>) of role type named sy_c_List_Ocount__list_001t__Complex__Ocomplex
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_complex:(list_complex->(complex->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a320>, <kernel.DependentProduct object at 0x273a758>) of role type named sy_c_List_Ocount__list_001t__Extended____Nat__Oenat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_101369445342291426d_enat:(list_Extended_enat->(extended_enat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a440>, <kernel.DependentProduct object at 0x273a290>) of role type named sy_c_List_Ocount__list_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_int:(list_int->(int->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a5f0>, <kernel.DependentProduct object at 0x273a320>) of role type named sy_c_List_Ocount__list_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_nat:(list_nat->(nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a440>, <kernel.DependentProduct object at 0x273a5f0>) of role type named sy_c_List_Ocount__list_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_4203492906077236349at_nat:(list_P6011104703257516679at_nat->(product_prod_nat_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a680>, <kernel.DependentProduct object at 0x273a320>) of role type named sy_c_List_Ocount__list_001t__Real__Oreal
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_real:(list_real->(real->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a290>, <kernel.DependentProduct object at 0x273a440>) of role type named sy_c_List_Ocount__list_001t__Set__Oset_It__Nat__Onat_J
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_set_nat:(list_set_nat->(set_nat->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a908>, <kernel.DependentProduct object at 0x273a680>) of role type named sy_c_List_Ocount__list_001t__VEBT____Definitions__OVEBT
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring count_list_VEBT_VEBT:(list_VEBT_VEBT->(vEBT_VEBT->nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a0e0>, <kernel.DependentProduct object at 0x273a908>) of role type named sy_c_List_Odrop_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring drop_nat:(nat->(list_nat->list_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a5f0>, <kernel.DependentProduct object at 0x273aa70>) of role type named sy_c_List_Ofold_001t__Int__Oint_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring fold_int_int:((int->(int->int))->(list_int->(int->int)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273aa28>, <kernel.DependentProduct object at 0x273a440>) of role type named sy_c_List_Ofold_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring fold_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a7a0>, <kernel.DependentProduct object at 0x273ab48>) of role type named sy_c_List_Olast_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring last_nat:(list_nat->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a5f0>, <kernel.DependentProduct object at 0x273aa28>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a680>, <kernel.DependentProduct object at 0x273a7a0>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring cons_int:(int->(list_int->list_int))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273aa70>, <kernel.DependentProduct object at 0x273a5f0>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273ab90>, <kernel.Constant object at 0x273a5f0>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring nil_nat:list_nat
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273ab00>, <kernel.DependentProduct object at 0x273ac68>) of role type named sy_c_List_Olist_Ohd_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring hd_nat:(list_nat->nat)
% 0.60/0.80 FOF formula (<kernel.Constant object at 0x273a440>, <kernel.DependentProduct object at 0x273ac68>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.60/0.80 Using role type
% 0.60/0.80 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273a5f0>, <kernel.DependentProduct object at 0x273aa70>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring map_VE8901447254227204932T_VEBT:((vEBT_VEBT->vEBT_VEBT)->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273a440>, <kernel.DependentProduct object at 0x273ab00>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_o2:(list_o->set_o)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab90>, <kernel.DependentProduct object at 0x273ad88>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_complex2:(list_complex->set_complex)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ac20>, <kernel.DependentProduct object at 0x273add0>) of role type named sy_c_List_Olist_Oset_001t__Extended____Nat__Oenat
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_Extended_enat2:(list_Extended_enat->set_Extended_enat)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273aa70>, <kernel.DependentProduct object at 0x273ae18>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_int2:(list_int->set_int)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab00>, <kernel.DependentProduct object at 0x273ae60>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_nat2:(list_nat->set_nat)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273aa70>, <kernel.DependentProduct object at 0x273ab00>) of role type named sy_c_List_Olist_Oset_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_Pr5648618587558075414at_nat:(list_P6011104703257516679at_nat->set_Pr1261947904930325089at_nat)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ae18>, <kernel.DependentProduct object at 0x273af38>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_real2:(list_real->set_real)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab90>, <kernel.DependentProduct object at 0x273af80>) of role type named sy_c_List_Olist_Oset_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_set_nat2:(list_set_nat->set_set_nat)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ac20>, <kernel.DependentProduct object at 0x273afc8>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab00>, <kernel.DependentProduct object at 0x273af38>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273a7a0>, <kernel.DependentProduct object at 0x273b098>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring tl_nat:(list_nat->list_nat)
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab90>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Olist__update_001_Eo
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab00>, <kernel.DependentProduct object at 0x273b170>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273aa70>, <kernel.DependentProduct object at 0x273b050>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273a7a0>, <kernel.DependentProduct object at 0x273b170>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab00>, <kernel.DependentProduct object at 0x273b050>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273a7a0>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Olist__update_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_update_set_nat:(list_set_nat->(nat->(set_nat->list_set_nat)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b320>, <kernel.DependentProduct object at 0x273b248>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273ab00>, <kernel.DependentProduct object at 0x273b050>) of role type named sy_c_List_Onth_001_Eo
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_o:(list_o->(nat->Prop))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b2d8>, <kernel.DependentProduct object at 0x273b368>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_complex:(list_complex->(nat->complex))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b0e0>, <kernel.DependentProduct object at 0x273b2d8>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_int:(list_int->(nat->int))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b3b0>, <kernel.DependentProduct object at 0x273b368>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_nat:(list_nat->(nat->nat))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b440>, <kernel.DependentProduct object at 0x273b320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_M_Eo_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Product_prod_o_o:(list_P4002435161011370285od_o_o->(nat->product_prod_o_o))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b0e0>, <kernel.DependentProduct object at 0x273b440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr5826913651314560976_o_nat:(list_P6285523579766656935_o_nat->(nat->product_prod_o_nat))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b320>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_I_Eo_Mt__VEBT____Definitions__OVEBT_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr6777367263587873994T_VEBT:(list_P7495141550334521929T_VEBT->(nat->produc2504756804600209347T_VEBT))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b440>, <kernel.DependentProduct object at 0x273b320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr4439495888332055232nt_int:(list_P5707943133018811711nt_int->(nat->product_prod_int_int))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b0e0>, <kernel.DependentProduct object at 0x273b440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr112076138515278198_nat_o:(list_P7333126701944960589_nat_o->(nat->product_prod_nat_o))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b320>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr7617993195940197384at_nat:(list_P6011104703257516679at_nat->(nat->product_prod_nat_nat))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b440>, <kernel.DependentProduct object at 0x273b320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Nat__Onat_Mt__VEBT____Definitions__OVEBT_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr744662078594809490T_VEBT:(list_P5647936690300460905T_VEBT->(nat->produc8025551001238799321T_VEBT))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b0e0>, <kernel.DependentProduct object at 0x273b440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.64/0.81 Using role type
% 0.64/0.81 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.64/0.81 FOF formula (<kernel.Constant object at 0x273b320>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b440>, <kernel.DependentProduct object at 0x273b320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b098>, <kernel.DependentProduct object at 0x273b440>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring nth_real:(list_real->(nat->real))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b9e0>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Onth_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring nth_set_nat:(list_set_nat->(nat->set_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ba70>, <kernel.DependentProduct object at 0x273b320>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b950>, <kernel.DependentProduct object at 0x273ba70>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bb00>, <kernel.DependentProduct object at 0x273b9e0>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bb48>, <kernel.DependentProduct object at 0x273b320>) of role type named sy_c_List_Oproduct_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_o_VEBT_VEBT:(list_o->(list_VEBT_VEBT->list_P7495141550334521929T_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b0e0>, <kernel.DependentProduct object at 0x273bb00>) of role type named sy_c_List_Oproduct_001t__Int__Oint_001t__Int__Oint
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_int_int:(list_int->(list_int->list_P5707943133018811711nt_int))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b638>, <kernel.DependentProduct object at 0x273bb48>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bb90>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_nat_nat:(list_nat->(list_nat->list_P6011104703257516679at_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b638>, <kernel.DependentProduct object at 0x273bb90>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring produc7156399406898700509T_VEBT:(list_nat->(list_VEBT_VEBT->list_P5647936690300460905T_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bc20>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b638>, <kernel.DependentProduct object at 0x273bc20>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b0e0>, <kernel.DependentProduct object at 0x273b638>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bdd0>, <kernel.DependentProduct object at 0x273bd40>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_o:(nat->(Prop->list_o))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273be18>, <kernel.DependentProduct object at 0x273b0e0>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bc20>, <kernel.DependentProduct object at 0x273bdd0>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_int:(nat->(int->list_int))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bea8>, <kernel.DependentProduct object at 0x273be18>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bcf8>, <kernel.DependentProduct object at 0x273bc20>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_real:(nat->(real->list_real))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273b638>, <kernel.DependentProduct object at 0x273bea8>) of role type named sy_c_List_Oreplicate_001t__Set__Oset_It__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_set_nat:(nat->(set_nat->list_set_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bd40>, <kernel.DependentProduct object at 0x273bcf8>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bdd0>, <kernel.DependentProduct object at 0x273bbd8>) of role type named sy_c_List_Osorted__wrt_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring sorted_wrt_nat:((nat->(nat->Prop))->(list_nat->Prop))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ba28>, <kernel.DependentProduct object at 0x273b638>) of role type named sy_c_List_Otake_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring take_nat:(nat->(list_nat->list_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bea8>, <kernel.DependentProduct object at 0x273b638>) of role type named sy_c_List_Otake_001t__VEBT____Definitions__OVEBT
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring take_VEBT_VEBT:(nat->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ba28>, <kernel.DependentProduct object at 0x273be18>) of role type named sy_c_List_Oupt
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring upt:(nat->(nat->list_nat))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bbd8>, <kernel.DependentProduct object at 0x273e1b8>) of role type named sy_c_List_Oupto__aux
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ba28>, <kernel.DependentProduct object at 0x273e0e0>) of role type named sy_c_Nat_OSuc
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring suc:(nat->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273be18>, <kernel.DependentProduct object at 0x273e098>) of role type named sy_c_Nat_Ocompow_001_062_It__Nat__Onat_Mt__Nat__Onat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring compow_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273bbd8>, <kernel.DependentProduct object at 0x273e320>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ba28>, <kernel.DependentProduct object at 0x273e2d8>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring case_nat_nat:(nat->((nat->nat)->(nat->nat)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ba28>, <kernel.DependentProduct object at 0x273e128>) of role type named sy_c_Nat_Onat_Opred
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring pred:(nat->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e290>, <kernel.Constant object at 0x273e098>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Complex__Ocomplex
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri3842193898606819883omplex:set_complex
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e2d8>, <kernel.Constant object at 0x273e098>) of role type named sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiring_1_Nats_int:set_int
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e290>, <kernel.DependentProduct object at 0x273e3f8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e098>, <kernel.DependentProduct object at 0x273e488>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e3f8>, <kernel.DependentProduct object at 0x273e518>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e488>, <kernel.DependentProduct object at 0x273e5a8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e518>, <kernel.DependentProduct object at 0x273e638>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e5a8>, <kernel.DependentProduct object at 0x273e6c8>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e638>, <kernel.DependentProduct object at 0x273e758>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e6c8>, <kernel.DependentProduct object at 0x273e170>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Complex__Ocomplex
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri2816024913162550771omplex:((complex->complex)->(nat->(complex->complex)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e758>, <kernel.DependentProduct object at 0x273e830>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Int__Oint
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri8420488043553186161ux_int:((int->int)->(nat->(int->int)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e170>, <kernel.DependentProduct object at 0x273e8c0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Nat__Onat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri8422978514062236437ux_nat:((nat->nat)->(nat->(nat->nat)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e830>, <kernel.DependentProduct object at 0x273e950>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Rat__Orat
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri7787848453975740701ux_rat:((rat->rat)->(nat->(rat->rat)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e8c0>, <kernel.DependentProduct object at 0x273e9e0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat__aux_001t__Real__Oreal
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring semiri7260567687927622513x_real:((real->real)->(nat->(real->real)))
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273ea70>, <kernel.DependentProduct object at 0x273eb48>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_size_list_o:(list_o->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e8c0>, <kernel.DependentProduct object at 0x273eb00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273eb48>, <kernel.DependentProduct object at 0x273eb90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.64/0.82 Using role type
% 0.64/0.82 Declaring size_s3941691890525107288d_enat:(list_Extended_enat->nat)
% 0.64/0.82 FOF formula (<kernel.Constant object at 0x273e878>, <kernel.DependentProduct object at 0x273ec20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_list_int:(list_int->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273e950>, <kernel.DependentProduct object at 0x273ec68>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_list_nat:(list_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273e878>, <kernel.DependentProduct object at 0x273ecb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_s5460976970255530739at_nat:(list_P6011104703257516679at_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ec20>, <kernel.DependentProduct object at 0x273ed40>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_list_real:(list_real->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273e878>, <kernel.DependentProduct object at 0x273ed88>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Set__Oset_It__Nat__Onat_J_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_s3254054031482475050et_nat:(list_set_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ed40>, <kernel.DependentProduct object at 0x273ee18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273eb00>, <kernel.DependentProduct object at 0x273eea8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_num:(num->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ec68>, <kernel.DependentProduct object at 0x273eef0>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_option_nat:(option_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273edd0>, <kernel.DependentProduct object at 0x273ef38>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_option_num:(option_num->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ec68>, <kernel.DependentProduct object at 0x273ef80>) 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
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273eef0>, <kernel.DependentProduct object at 0x2740050>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_char:(char->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ed40>, <kernel.DependentProduct object at 0x2740098>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273e248>, <kernel.DependentProduct object at 0x2740128>) of role type named sy_c_Nat__Bijection_Oint__decode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_int_decode:(nat->int)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ef80>, <kernel.DependentProduct object at 0x2740170>) of role type named sy_c_Nat__Bijection_Oint__encode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_int_encode:(int->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ec68>, <kernel.DependentProduct object at 0x27401b8>) of role type named sy_c_Nat__Bijection_Olist__decode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_list_decode:(nat->list_nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273efc8>, <kernel.DependentProduct object at 0x2740098>) of role type named sy_c_Nat__Bijection_Olist__decode__rel
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_list_decode_rel:(nat->(nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273ef80>, <kernel.DependentProduct object at 0x2740248>) of role type named sy_c_Nat__Bijection_Olist__encode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_list_encode:(list_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273eb00>, <kernel.DependentProduct object at 0x2740200>) of role type named sy_c_Nat__Bijection_Olist__encode__rel
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_list_encode_rel:(list_nat->(list_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273eb00>, <kernel.DependentProduct object at 0x27402d8>) of role type named sy_c_Nat__Bijection_Oprod__decode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_prod_decode:(nat->product_prod_nat_nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x273eb00>, <kernel.DependentProduct object at 0x27400e0>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_prod_decode_aux:(nat->(nat->product_prod_nat_nat))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740128>, <kernel.DependentProduct object at 0x2740098>) of role type named sy_c_Nat__Bijection_Oprod__decode__aux__rel
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_pr5047031295181774490ux_rel:(product_prod_nat_nat->(product_prod_nat_nat->Prop))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740290>, <kernel.DependentProduct object at 0x27403f8>) of role type named sy_c_Nat__Bijection_Oprod__encode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_prod_encode:(product_prod_nat_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740170>, <kernel.DependentProduct object at 0x2740440>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_set_decode:(nat->set_nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740050>, <kernel.DependentProduct object at 0x2740488>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_set_encode:(set_nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x27402d8>, <kernel.DependentProduct object at 0x27404d0>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring nat_triangle:(nat->nat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x27403f8>, <kernel.DependentProduct object at 0x27400e0>) of role type named sy_c_NthRoot_Oroot
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring root:(nat->(real->real))
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740170>, <kernel.DependentProduct object at 0x2740518>) of role type named sy_c_NthRoot_Osqrt
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring sqrt:(real->real)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740440>, <kernel.DependentProduct object at 0x27404d0>) of role type named sy_c_Num_OBitM
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring bitM:(num->num)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x27402d8>, <kernel.DependentProduct object at 0x27405a8>) of role type named sy_c_Num_Oinc
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring inc:(num->num)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740440>, <kernel.DependentProduct object at 0x27405f0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x27405a8>, <kernel.DependentProduct object at 0x2740680>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x27400e0>, <kernel.DependentProduct object at 0x2740710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_numeral_dbl_int:(int->int)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740170>, <kernel.DependentProduct object at 0x2740758>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740638>, <kernel.DependentProduct object at 0x27407a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_numeral_dbl_real:(real->real)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x2740170>, <kernel.DependentProduct object at 0x27407e8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.64/0.83 FOF formula (<kernel.Constant object at 0x27407a0>, <kernel.DependentProduct object at 0x2740878>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.64/0.83 Using role type
% 0.64/0.83 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x27407e8>, <kernel.DependentProduct object at 0x2740908>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740878>, <kernel.DependentProduct object at 0x2740998>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740908>, <kernel.DependentProduct object at 0x2740a28>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740998>, <kernel.DependentProduct object at 0x2740ab8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Code____Numeral__Ointeger
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu5831290666863070958nteger:(code_integer->code_integer)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740a28>, <kernel.DependentProduct object at 0x2740b48>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Complex__Ocomplex
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu8557863876264182079omplex:(complex->complex)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740ab8>, <kernel.DependentProduct object at 0x2740bd8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Int__Oint
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu5851722552734809277nc_int:(int->int)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740b48>, <kernel.DependentProduct object at 0x2740c68>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Rat__Orat
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu5219082963157363817nc_rat:(rat->rat)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740bd8>, <kernel.DependentProduct object at 0x2740cf8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__inc_001t__Real__Oreal
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_nu8295874005876285629c_real:(real->real)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740680>, <kernel.DependentProduct object at 0x2740c68>) of role type named sy_c_Num_Oneg__numeral__class_Osub_001t__Int__Oint
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring neg_numeral_sub_int:(num->(num->int))
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740d88>, <kernel.DependentProduct object at 0x2740dd0>) of role type named sy_c_Num_Onum_OBit0
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring bit0:(num->num)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740cb0>, <kernel.DependentProduct object at 0x2740c20>) of role type named sy_c_Num_Onum_OBit1
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring bit1:(num->num)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740cf8>, <kernel.Constant object at 0x2740c20>) of role type named sy_c_Num_Onum_OOne
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring one:num
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740dd0>, <kernel.DependentProduct object at 0x2740ea8>) of role type named sy_c_Num_Onum_Osize__num
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring size_num:(num->nat)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740c68>, <kernel.DependentProduct object at 0x2740ef0>) of role type named sy_c_Num_Onum__of__nat
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring num_of_nat:(nat->num)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740dd0>, <kernel.DependentProduct object at 0x2740f38>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740ef0>, <kernel.DependentProduct object at 0x2740fc8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring numera6690914467698888265omplex:(num->complex)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740f38>, <kernel.DependentProduct object at 0x2743098>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.67/0.83 Using role type
% 0.67/0.83 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.67/0.83 FOF formula (<kernel.Constant object at 0x2740bd8>, <kernel.DependentProduct object at 0x2743128>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring numeral_numeral_int:(num->int)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2740ef0>, <kernel.DependentProduct object at 0x2743170>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring numeral_numeral_nat:(num->nat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2740f38>, <kernel.DependentProduct object at 0x27431b8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring numeral_numeral_rat:(num->rat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2740bd8>, <kernel.DependentProduct object at 0x2743200>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring numeral_numeral_real:(num->real)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2740f38>, <kernel.DependentProduct object at 0x2743098>) of role type named sy_c_Num_Opow
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring pow:(num->(num->num))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2740ef0>, <kernel.DependentProduct object at 0x2743290>) of role type named sy_c_Num_Opred__numeral
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring pred_numeral:(num->nat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2740ef0>, <kernel.DependentProduct object at 0x2743200>) of role type named sy_c_Num_Osqr
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring sqr:(num->num)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743050>, <kernel.Constant object at 0x2743200>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring none_nat:option_nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743290>, <kernel.Constant object at 0x2743200>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring none_num:option_num
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743050>, <kernel.Constant object at 0x2743248>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743320>, <kernel.DependentProduct object at 0x2743440>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring some_nat:(nat->option_nat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27430e0>, <kernel.DependentProduct object at 0x2743488>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring some_num:(num->option_num)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743320>, <kernel.DependentProduct object at 0x27430e0>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743488>, <kernel.DependentProduct object at 0x2743560>) of role type named sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring case_o184042715313410164at_nat:(Prop->((product_prod_nat_nat->Prop)->(option4927543243414619207at_nat->Prop)))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27435a8>, <kernel.DependentProduct object at 0x2743680>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743638>, <kernel.DependentProduct object at 0x27436c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27435a8>, <kernel.DependentProduct object at 0x2743320>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743758>, <kernel.DependentProduct object at 0x27434d0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27436c8>, <kernel.DependentProduct object at 0x2743710>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743758>, <kernel.DependentProduct object at 0x27437a0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27435a8>, <kernel.DependentProduct object at 0x27434d0>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring the_nat:(option_nat->nat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27430e0>, <kernel.DependentProduct object at 0x2743758>) of role type named sy_c_Order__Relation_OunderS_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring order_underS_nat:(set_Pr1261947904930325089at_nat->(nat->set_nat))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27435a8>, <kernel.Constant object at 0x2743320>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Extended____Nat__Oenat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bo4199563552545308370d_enat:extended_enat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27437e8>, <kernel.Constant object at 0x2743320>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_nat:nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743908>, <kernel.Constant object at 0x2743320>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_complex:set_complex
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27437e8>, <kernel.Constant object at 0x2743878>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bo7653980558646680370d_enat:set_Extended_enat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27437a0>, <kernel.Constant object at 0x2743878>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_int:set_int
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743998>, <kernel.Constant object at 0x2743878>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_nat:set_nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x27439e0>, <kernel.Constant object at 0x2743878>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_num:set_num
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743998>, <kernel.Constant object at 0x2743a28>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bo2099793752762293965at_nat:set_Pr1261947904930325089at_nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743878>, <kernel.Constant object at 0x2743ab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bo228742789529271731at_nat:set_Pr4329608150637261639at_nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743b48>, <kernel.Constant object at 0x2743ab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_rat:set_rat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743b90>, <kernel.Constant object at 0x2743ab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_real:set_real
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743bd8>, <kernel.Constant object at 0x2743ab8>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring bot_bot_set_set_nat:set_set_nat
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743c20>, <kernel.DependentProduct object at 0x2743d40>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_Least_nat:((nat->Prop)->nat)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743b00>, <kernel.DependentProduct object at 0x2743d88>) of role type named sy_c_Orderings_Oord__class_OLeast_001t__Real__Oreal
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_Least_real:((real->Prop)->real)
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743c68>, <kernel.DependentProduct object at 0x2743e18>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Complex__Ocomplex_M_Eo_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_complex_o:((complex->Prop)->((complex->Prop)->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743d88>, <kernel.DependentProduct object at 0x2743e60>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Int__Oint_M_Eo_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_int_o:((int->Prop)->((int->Prop)->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743e18>, <kernel.DependentProduct object at 0x2743ea8>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Nat__Onat_M_Eo_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_nat_o:((nat->Prop)->((nat->Prop)->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743e60>, <kernel.DependentProduct object at 0x2743ef0>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Real__Oreal_M_Eo_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_real_o:((real->Prop)->((real->Prop)->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743ea8>, <kernel.DependentProduct object at 0x2743f38>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_It__Set__Oset_It__Nat__Onat_J_M_Eo_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_set_nat_o:((set_nat->Prop)->((set_nat->Prop)->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743e60>, <kernel.DependentProduct object at 0x2743ea8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743f38>, <kernel.DependentProduct object at 0x2743e60>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743f80>, <kernel.DependentProduct object at 0x2755050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_int:(int->(int->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743fc8>, <kernel.DependentProduct object at 0x27550e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743c20>, <kernel.DependentProduct object at 0x2755128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_num:(num->(num->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743e60>, <kernel.DependentProduct object at 0x2755170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743fc8>, <kernel.DependentProduct object at 0x27551b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_real:(real->(real->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2743c20>, <kernel.DependentProduct object at 0x2755200>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.67/0.84 FOF formula (<kernel.Constant object at 0x2755050>, <kernel.DependentProduct object at 0x2755248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.67/0.84 Using role type
% 0.67/0.84 Declaring ord_le2529575680413868914d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2743c20>, <kernel.DependentProduct object at 0x27551b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2743c20>, <kernel.DependentProduct object at 0x27550e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755128>, <kernel.DependentProduct object at 0x2755290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755050>, <kernel.DependentProduct object at 0x27551b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le7866589430770878221at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553b0>, <kernel.DependentProduct object at 0x2755290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553f8>, <kernel.DependentProduct object at 0x2755050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755248>, <kernel.DependentProduct object at 0x27553b0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553f8>, <kernel.DependentProduct object at 0x2755248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553b0>, <kernel.DependentProduct object at 0x27553f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755248>, <kernel.DependentProduct object at 0x27553b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Nat__Onat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le2510731241096832064er_nat:(filter_nat->(filter_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27555f0>, <kernel.DependentProduct object at 0x27553f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755680>, <kernel.DependentProduct object at 0x2755248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27551b8>, <kernel.DependentProduct object at 0x27555f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755560>, <kernel.DependentProduct object at 0x2755680>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553b0>, <kernel.DependentProduct object at 0x27551b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553f8>, <kernel.DependentProduct object at 0x2755560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27553b0>, <kernel.DependentProduct object at 0x27553f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755560>, <kernel.DependentProduct object at 0x27553b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le7203529160286727270d_enat:(set_Extended_enat->(set_Extended_enat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x27558c0>, <kernel.DependentProduct object at 0x27553f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755950>, <kernel.DependentProduct object at 0x2755560>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755248>, <kernel.DependentProduct object at 0x27558c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755950>, <kernel.DependentProduct object at 0x27553f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le3146513528884898305at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755a70>, <kernel.DependentProduct object at 0x27558c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755ab8>, <kernel.DependentProduct object at 0x2755950>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755a70>, <kernel.DependentProduct object at 0x2755ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755950>, <kernel.DependentProduct object at 0x2755a70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755bd8>, <kernel.DependentProduct object at 0x2755ab8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755950>, <kernel.DependentProduct object at 0x2755bd8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755cf8>, <kernel.DependentProduct object at 0x2755ab8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_max_int:(int->(int->int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755cb0>, <kernel.DependentProduct object at 0x2755950>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring ord_max_nat:(nat->(nat->nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0x2755dd0>, <kernel.DependentProduct object at 0x2755cf8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_max_num:(num->(num->num))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755c20>, <kernel.DependentProduct object at 0x2755cb0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_max_rat:(rat->(rat->rat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755c68>, <kernel.DependentProduct object at 0x2755dd0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_max_real:(real->(real->real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755c20>, <kernel.DependentProduct object at 0x2755c68>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Extended____Nat__Oenat_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_ma4205026669011143323d_enat:(set_Extended_enat->(set_Extended_enat->set_Extended_enat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755ab8>, <kernel.DependentProduct object at 0x2755dd0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_max_set_int:(set_int->(set_int->set_int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755bd8>, <kernel.DependentProduct object at 0x2755c20>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_max_set_nat:(set_nat->(set_nat->set_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755cb0>, <kernel.DependentProduct object at 0x2755ab8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_max_set_real:(set_real->(set_real->set_real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755bd8>, <kernel.DependentProduct object at 0x2755c20>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755dd0>, <kernel.DependentProduct object at 0x2755f80>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_min_int:(int->(int->int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755ab8>, <kernel.DependentProduct object at 0x27581b8>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ord_min_nat:(nat->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755dd0>, <kernel.DependentProduct object at 0x2758170>) of role type named sy_c_Orderings_Oorder__class_OGreatest_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring order_Greatest_nat:((nat->Prop)->nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755f80>, <kernel.DependentProduct object at 0x27581b8>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring order_mono_nat_nat:((nat->nat)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2755dd0>, <kernel.DependentProduct object at 0x2758128>) of role type named sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring order_mono_nat_real:((nat->real)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27581b8>, <kernel.DependentProduct object at 0x2758050>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring order_5726023648592871131at_nat:((nat->nat)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27580e0>, <kernel.DependentProduct object at 0x2758050>) of role type named sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring order_7092887310737990675l_real:((real->real)->Prop)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758128>, <kernel.DependentProduct object at 0x2758368>) of role type named sy_c_Orderings_Oordering__top_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring ordering_top_nat:((nat->(nat->Prop))->((nat->(nat->Prop))->(nat->Prop)))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27580e0>, <kernel.Constant object at 0x2758368>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_top_set_int:set_int
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758050>, <kernel.Constant object at 0x2758368>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_top_set_list_nat:set_list_nat
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27582d8>, <kernel.Constant object at 0x2758368>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_top_set_nat:set_nat
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758050>, <kernel.Constant object at 0x27583f8>) 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
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_to4669805908274784177at_nat:set_Pr1261947904930325089at_nat
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758368>, <kernel.Constant object at 0x27583b0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_to1996260823553986621t_unit:set_Product_unit
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758488>, <kernel.Constant object at 0x27583b0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_top_set_real:set_real
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758518>, <kernel.Constant object at 0x27583b0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring top_top_set_char:set_char
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758488>, <kernel.DependentProduct object at 0x2758518>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758680>, <kernel.DependentProduct object at 0x27583b0>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_power_complex:(complex->(nat->complex))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758488>, <kernel.DependentProduct object at 0x2758680>) of role type named sy_c_Power_Opower__class_Opower_001t__Extended____Nat__Oenat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_8040749407984259932d_enat:(extended_enat->(nat->extended_enat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758758>, <kernel.DependentProduct object at 0x27583b0>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_power_int:(int->(nat->int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758560>, <kernel.DependentProduct object at 0x2758488>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_power_nat:(nat->(nat->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758830>, <kernel.DependentProduct object at 0x2758758>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_power_rat:(rat->(nat->rat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758518>, <kernel.DependentProduct object at 0x2758560>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring power_power_real:(real->(nat->real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758830>, <kernel.DependentProduct object at 0x2758488>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27583b0>, <kernel.DependentProduct object at 0x2758710>) of role type named sy_c_Product__Type_OPair_001_Eo_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_Pair_o_o:(Prop->(Prop->product_prod_o_o))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27587e8>, <kernel.DependentProduct object at 0x2758710>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_Pair_o_nat:(Prop->(nat->product_prod_o_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x27583b0>, <kernel.DependentProduct object at 0x2758758>) of role type named sy_c_Product__Type_OPair_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc2982872950893828659T_VEBT:(Prop->(vEBT_VEBT->produc2504756804600209347T_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758710>, <kernel.DependentProduct object at 0x2758b00>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6677183202524767010eger_o:(code_integer->(Prop->produc6271795597528267376eger_o))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758758>, <kernel.DependentProduct object at 0x2758710>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758b90>, <kernel.DependentProduct object at 0x2758b00>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758b48>, <kernel.DependentProduct object at 0x2758c20>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_Pair_nat_o:(nat->(Prop->product_prod_nat_o))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758c68>, <kernel.DependentProduct object at 0x2758b90>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758b48>, <kernel.DependentProduct object at 0x2758c68>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758b90>, <kernel.DependentProduct object at 0x2758b48>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc599794634098209291T_VEBT:(nat->(vEBT_VEBT->produc8025551001238799321T_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758c68>, <kernel.DependentProduct object at 0x2758b90>) 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
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6161850002892822231at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc859450856879609959at_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758b48>, <kernel.DependentProduct object at 0x2758758>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc2922128104949294807at_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->produc3843707927480180839at_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758b90>, <kernel.DependentProduct object at 0x2758d88>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc9060074326276436823at_nat:(set_Pr4329608150637261639at_nat->(set_Pr4329608150637261639at_nat->produc1319942482725812455at_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758758>, <kernel.DependentProduct object at 0x2758fc8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758d88>, <kernel.DependentProduct object at 0x2758758>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Extended____Nat__Oenat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc581526299967858633d_enat:(vEBT_VEBT->(extended_enat->produc7272778201969148633d_enat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758fc8>, <kernel.DependentProduct object at 0x275a0e0>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758758>, <kernel.DependentProduct object at 0x275a170>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758758>, <kernel.DependentProduct object at 0x275a290>) of role type named sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc457027306803732586at_nat:(set_nat->((nat->set_nat)->set_Pr1261947904930325089at_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x2758f38>, <kernel.DependentProduct object at 0x275a050>) of role type named sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6499014454317279255nteger:((code_integer->code_integer)->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x275a1b8>, <kernel.DependentProduct object at 0x275a3b0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x275a098>, <kernel.DependentProduct object at 0x275a440>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x275a290>, <kernel.DependentProduct object at 0x275a4d0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x275a368>, <kernel.DependentProduct object at 0x275a2d8>) 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
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc9125791028180074456eger_o:((code_integer->(code_integer->produc6271795597528267376eger_o))->(produc8923325533196201883nteger->produc6271795597528267376eger_o))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x275a4d0>, <kernel.DependentProduct object at 0x275a1b8>) 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
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0x275a2d8>, <kernel.DependentProduct object at 0x275a098>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Complex__Ocomplex_001t__Complex__Ocomplex_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring produc6771430404735790350plex_o:((complex->(complex->Prop))->(produc4411394909380815293omplex->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a1b8>, <kernel.DependentProduct object at 0x275a5a8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a098>, <kernel.DependentProduct object at 0x275a710>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a5a8>, <kernel.DependentProduct object at 0x275a6c8>) 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
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a710>, <kernel.DependentProduct object at 0x275a878>) 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
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc8739625826339149834_nat_o:((nat->(nat->(product_prod_nat_nat->Prop)))->(product_prod_nat_nat->(product_prod_nat_nat->Prop)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a6c8>, <kernel.DependentProduct object at 0x275a908>) 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
% 0.67/0.87 Using role type
% 0.67/0.87 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)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a878>, <kernel.DependentProduct object at 0x275a518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc6081775807080527818_nat_o:((nat->(nat->Prop))->(product_prod_nat_nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a908>, <kernel.DependentProduct object at 0x275a3f8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc2761476792215241774st_nat:((nat->(nat->list_nat))->(product_prod_nat_nat->list_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a518>, <kernel.DependentProduct object at 0x275a998>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc6842872674320459806at_nat:((nat->(nat->nat))->(product_prod_nat_nat->nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a3f8>, <kernel.DependentProduct object at 0x275aa28>) 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
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a998>, <kernel.DependentProduct object at 0x275a7a0>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Real__Oreal_001t__Real__Oreal_001_Eo
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring produc5414030515140494994real_o:((real->(real->Prop))->(produc2422161461964618553l_real->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ab90>, <kernel.DependentProduct object at 0x275ac20>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring product_fst_int_int:(product_prod_int_int->int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a9e0>, <kernel.DependentProduct object at 0x275ac68>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ab48>, <kernel.DependentProduct object at 0x275acb0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring product_snd_int_int:(product_prod_int_int->int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275a7a0>, <kernel.DependentProduct object at 0x275acf8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ac20>, <kernel.DependentProduct object at 0x275ad40>) of role type named sy_c_Rat_OAbs__Rat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring abs_Rat:(product_prod_int_int->rat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ac68>, <kernel.DependentProduct object at 0x275a7a0>) of role type named sy_c_Rat_OFract
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring fract:(int->(int->rat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ad88>, <kernel.DependentProduct object at 0x275add0>) of role type named sy_c_Rat_OFrct
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring frct:(product_prod_int_int->rat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275acf8>, <kernel.DependentProduct object at 0x275acb0>) of role type named sy_c_Rat_ORep__Rat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring rep_Rat:(rat->product_prod_int_int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ad88>, <kernel.Constant object at 0x275a7a0>) of role type named sy_c_Rat_Ofield__char__0__class_ORats_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring field_5140801741446780682s_real:set_real
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275acb0>, <kernel.DependentProduct object at 0x275aef0>) of role type named sy_c_Rat_Ofield__char__0__class_Oof__rat_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring field_7254667332652039916t_real:(rat->real)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275add0>, <kernel.DependentProduct object at 0x275af80>) of role type named sy_c_Rat_Onormalize
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275ac68>, <kernel.DependentProduct object at 0x275acb0>) of role type named sy_c_Rat_Opcr__rat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring pcr_rat:(product_prod_int_int->(rat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275af38>, <kernel.DependentProduct object at 0x275afc8>) of role type named sy_c_Rat_Opositive
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring positive:(rat->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275add0>, <kernel.DependentProduct object at 0x275d098>) of role type named sy_c_Rat_Oquotient__of
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring quotient_of:(rat->product_prod_int_int)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275af80>, <kernel.DependentProduct object at 0x275d050>) of role type named sy_c_Rat_Oratrel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring ratrel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275acb0>, <kernel.DependentProduct object at 0x275d128>) of role type named sy_c_Real_OReal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring real2:((nat->rat)->real)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275add0>, <kernel.DependentProduct object at 0x275d098>) of role type named sy_c_Real_Ocauchy
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring cauchy:((nat->rat)->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275af80>, <kernel.DependentProduct object at 0x275d098>) of role type named sy_c_Real_Ocr__real
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring cr_real:((nat->rat)->(real->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275acb0>, <kernel.DependentProduct object at 0x275d098>) of role type named sy_c_Real_Opcr__real
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring pcr_real:((nat->rat)->(real->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275af80>, <kernel.DependentProduct object at 0x275d248>) of role type named sy_c_Real_Opositive
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring positive2:(real->Prop)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275add0>, <kernel.DependentProduct object at 0x275d320>) of role type named sy_c_Real_Orealrel
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring realrel:((nat->rat)->((nat->rat)->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x275add0>, <kernel.DependentProduct object at 0x275d098>) of role type named sy_c_Real_Orep__real
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring rep_real:(real->(nat->rat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d050>, <kernel.DependentProduct object at 0x275d368>) of role type named sy_c_Real_Ovanishes
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring vanishes:((nat->rat)->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d1b8>, <kernel.Constant object at 0x275d320>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V2521375963428798218omplex:set_complex
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d368>, <kernel.DependentProduct object at 0x275d1b8>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V3694042436643373181omplex:(complex->(complex->real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d320>, <kernel.DependentProduct object at 0x275d368>) of role type named sy_c_Real__Vector__Spaces_Odist__class_Odist_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V975177566351809787t_real:(real->(real->real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d1b8>, <kernel.DependentProduct object at 0x275d3f8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d368>, <kernel.DependentProduct object at 0x275d5a8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V7735802525324610683m_real:(real->real)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d3f8>, <kernel.DependentProduct object at 0x275d638>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d5a8>, <kernel.DependentProduct object at 0x275d3f8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d638>, <kernel.DependentProduct object at 0x275d5a8>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d3f8>, <kernel.Constant object at 0x275d128>) of role type named sy_c_Relation_OId_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring id_Pro2258643101195443293at_nat:set_Pr8693737435421807431at_nat
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d7e8>, <kernel.DependentProduct object at 0x275d128>) of role type named sy_c_Relation_Otransp_001_062_It__Nat__Onat_Mt__Rat__Orat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring transp_nat_rat:(((nat->rat)->((nat->rat)->Prop))->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d3f8>, <kernel.DependentProduct object at 0x275d7e8>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring algebr932160517623751201me_int:(int->(int->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d128>, <kernel.DependentProduct object at 0x275d3f8>) of role type named sy_c_Rings_Oalgebraic__semidom__class_Ocoprime_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring algebr934650988132801477me_nat:(nat->(nat->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d7e8>, <kernel.DependentProduct object at 0x275d128>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d3f8>, <kernel.DependentProduct object at 0x275d7e8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d6c8>, <kernel.DependentProduct object at 0x275d128>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring divide_divide_int:(int->(int->int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d9e0>, <kernel.DependentProduct object at 0x275d3f8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275db48>, <kernel.DependentProduct object at 0x275d6c8>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d998>, <kernel.DependentProduct object at 0x275d9e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring divide_divide_real:(real->(real->real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275da70>, <kernel.DependentProduct object at 0x275db48>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275db00>, <kernel.DependentProduct object at 0x275d998>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d3f8>, <kernel.DependentProduct object at 0x275da70>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d6c8>, <kernel.DependentProduct object at 0x275db00>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d9e0>, <kernel.DependentProduct object at 0x275d3f8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275db48>, <kernel.DependentProduct object at 0x275d6c8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d9e0>, <kernel.DependentProduct object at 0x275db48>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d7e8>, <kernel.DependentProduct object at 0x275d6c8>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring modulo_modulo_int:(int->(int->int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d998>, <kernel.DependentProduct object at 0x275d9e0>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d7e8>, <kernel.DependentProduct object at 0x275df38>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d9e0>, <kernel.DependentProduct object at 0x275da70>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d7e8>, <kernel.DependentProduct object at 0x275df38>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring suminf_complex:((nat->complex)->complex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d200>, <kernel.DependentProduct object at 0x2760098>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring suminf_int:((nat->int)->int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275df80>, <kernel.DependentProduct object at 0x2760050>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring suminf_nat:((nat->nat)->nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275df38>, <kernel.DependentProduct object at 0x2760128>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring suminf_real:((nat->real)->real)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d9e0>, <kernel.DependentProduct object at 0x27600e0>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring summable_complex:((nat->complex)->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d200>, <kernel.DependentProduct object at 0x2760098>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring summable_int:((nat->int)->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275df38>, <kernel.DependentProduct object at 0x27600e0>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring summable_nat:((nat->nat)->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d200>, <kernel.DependentProduct object at 0x2760050>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring summable_real:((nat->real)->Prop)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x275d9e0>, <kernel.DependentProduct object at 0x2760200>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760050>, <kernel.DependentProduct object at 0x2760290>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_int:((nat->int)->(int->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760170>, <kernel.DependentProduct object at 0x2760128>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760248>, <kernel.DependentProduct object at 0x2760320>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring sums_real:((nat->real)->(real->Prop))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760128>, <kernel.DependentProduct object at 0x27603f8>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760170>, <kernel.DependentProduct object at 0x2760050>) of role type named sy_c_Set_OCollect_001t__Extended____Nat__Oenat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec4429806609662206161d_enat:((extended_enat->Prop)->set_Extended_enat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760290>, <kernel.DependentProduct object at 0x27604d0>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_int:((int->Prop)->set_int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760200>, <kernel.DependentProduct object at 0x2760170>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x27604d0>, <kernel.DependentProduct object at 0x2760518>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760200>, <kernel.DependentProduct object at 0x27604d0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Extended____Nat__Oenat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collec8433460942617342167d_enat:((list_Extended_enat->Prop)->set_li5464603477888414924d_enat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760128>, <kernel.DependentProduct object at 0x27605f0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x27603f8>, <kernel.DependentProduct object at 0x2760638>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x2760128>, <kernel.DependentProduct object at 0x27603f8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collec3343600615725829874at_nat:((list_P6011104703257516679at_nat->Prop)->set_li5450038453877631591at_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760638>, <kernel.DependentProduct object at 0x2760710>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760320>, <kernel.DependentProduct object at 0x27607e8>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760518>, <kernel.DependentProduct object at 0x2760830>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collect_num:((num->Prop)->set_num)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x27603f8>, <kernel.DependentProduct object at 0x2760320>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collec8663557070575231912omplex:((produc4411394909380815293omplex->Prop)->set_Pr5085853215250843933omplex)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760518>, <kernel.DependentProduct object at 0x27603f8>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760320>, <kernel.DependentProduct object at 0x2760518>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collec3392354462482085612at_nat:((product_prod_nat_nat->Prop)->set_Pr1261947904930325089at_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x27603f8>, <kernel.DependentProduct object at 0x2760320>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collec3799799289383736868l_real:((produc2422161461964618553l_real->Prop)->set_Pr6218003697084177305l_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760488>, <kernel.DependentProduct object at 0x2760ab8>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760638>, <kernel.DependentProduct object at 0x2760b00>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collect_real:((real->Prop)->set_real)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x27607a0>, <kernel.DependentProduct object at 0x2760320>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring collect_set_nat:((set_nat->Prop)->set_set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x27609e0>, <kernel.DependentProduct object at 0x2760b90>) of role type named sy_c_Set_OPow_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring pow_nat:(set_nat->set_set_nat)
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760a28>, <kernel.DependentProduct object at 0x2760b90>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760488>, <kernel.DependentProduct object at 0x27603f8>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_int_nat:((int->nat)->(set_int->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760320>, <kernel.DependentProduct object at 0x27607a0>) of role type named sy_c_Set_Oimage_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_list_nat_nat:((list_nat->nat)->(set_list_nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760a28>, <kernel.DependentProduct object at 0x2760bd8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760488>, <kernel.DependentProduct object at 0x2760a70>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_nat_list_nat:((nat->list_nat)->(set_nat->set_list_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760320>, <kernel.DependentProduct object at 0x27609e0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760488>, <kernel.DependentProduct object at 0x2760a28>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_5846123807819985514at_nat:((nat->product_prod_nat_nat)->(set_nat->set_Pr1261947904930325089at_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760bd8>, <kernel.DependentProduct object at 0x27603f8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_nat_real:((nat->real)->(set_nat->set_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x27609e0>, <kernel.DependentProduct object at 0x2760b90>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760488>, <kernel.DependentProduct object at 0x2760320>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x27609e0>, <kernel.DependentProduct object at 0x2760e18>) of role type named sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_2486076414777270412at_nat:((product_prod_nat_nat->nat)->(set_Pr1261947904930325089at_nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760320>, <kernel.DependentProduct object at 0x2760bd8>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Complex__Ocomplex_Mt__Complex__Ocomplex_J_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_5971271580939081552omplex:((real->filter6041513312241820739omplex)->(set_real->set_fi4554929511873752355omplex))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760e18>, <kernel.DependentProduct object at 0x2760f80>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Filter__Ofilter_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_2178119161166701260l_real:((real->filter2146258269922977983l_real)->(set_real->set_fi7789364187291644575l_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760fc8>, <kernel.DependentProduct object at 0x2760a70>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760f80>, <kernel.DependentProduct object at 0x2760a70>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760b00>, <kernel.DependentProduct object at 0x2763128>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring insert_int:(int->(set_int->set_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760e18>, <kernel.DependentProduct object at 0x2763200>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760e18>, <kernel.DependentProduct object at 0x2763170>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring insert8211810215607154385at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x2760b00>, <kernel.DependentProduct object at 0x2763170>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring insert9069300056098147895at_nat:(produc3843707927480180839at_nat->(set_Pr4329608150637261639at_nat->set_Pr4329608150637261639at_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2760b00>, <kernel.DependentProduct object at 0x2763290>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring insert_real:(real->(set_real->set_real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2760e18>, <kernel.DependentProduct object at 0x2763290>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27631b8>, <kernel.DependentProduct object at 0x2763368>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_fo1517530859248394432omplex:((nat->(complex->complex))->(nat->(nat->(complex->complex))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763290>, <kernel.DependentProduct object at 0x2763128>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_fo2581907887559384638at_int:((nat->(int->int))->(nat->(nat->(int->int))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763368>, <kernel.DependentProduct object at 0x27633b0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763128>, <kernel.DependentProduct object at 0x27632d8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Rat__Orat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_fo1949268297981939178at_rat:((nat->(rat->rat))->(nat->(nat->(rat->rat))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27633b0>, <kernel.DependentProduct object at 0x27634d0>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_fo3111899725591712190t_real:((nat->(real->real))->(nat->(nat->(real->real))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27632d8>, <kernel.DependentProduct object at 0x2763638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Extended____Nat__Oenat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or5403411693681687835d_enat:(extended_enat->(extended_enat->set_Extended_enat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763320>, <kernel.DependentProduct object at 0x27632d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763638>, <kernel.DependentProduct object at 0x2763320>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27632d8>, <kernel.DependentProduct object at 0x2763638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763320>, <kernel.DependentProduct object at 0x27632d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763638>, <kernel.DependentProduct object at 0x2763320>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27632d8>, <kernel.DependentProduct object at 0x2763638>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763320>, <kernel.DependentProduct object at 0x27632d8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763638>, <kernel.DependentProduct object at 0x2763320>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763560>, <kernel.DependentProduct object at 0x27633b0>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763638>, <kernel.DependentProduct object at 0x2763b90>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Extended____Nat__Oenat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or8332593352340944941d_enat:(extended_enat->set_Extended_enat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763a28>, <kernel.DependentProduct object at 0x2763c20>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_atMost_int:(int->set_int)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763320>, <kernel.DependentProduct object at 0x2763c68>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27632d8>, <kernel.DependentProduct object at 0x2763cb0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Num__Onum
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_atMost_num:(num->set_num)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763b90>, <kernel.DependentProduct object at 0x2763cf8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Rat__Orat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_atMost_rat:(rat->set_rat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763c20>, <kernel.DependentProduct object at 0x2763d40>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_atMost_real:(real->set_real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763b90>, <kernel.DependentProduct object at 0x2763d88>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or4236626031148496127et_nat:(set_nat->set_set_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763d40>, <kernel.DependentProduct object at 0x2763b90>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763d88>, <kernel.DependentProduct object at 0x2763d40>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763b90>, <kernel.DependentProduct object at 0x2763d88>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763d40>, <kernel.DependentProduct object at 0x2763b90>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763d88>, <kernel.DependentProduct object at 0x2763c68>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763b90>, <kernel.DependentProduct object at 0x27650e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763b90>, <kernel.DependentProduct object at 0x27651b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763fc8>, <kernel.DependentProduct object at 0x2765248>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Extended____Nat__Oenat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or8419480210114673929d_enat:(extended_enat->set_Extended_enat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763b90>, <kernel.DependentProduct object at 0x27652d8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_lessThan_int:(int->set_int)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763c68>, <kernel.DependentProduct object at 0x2765320>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2763c68>, <kernel.DependentProduct object at 0x2765368>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_lessThan_num:(num->set_num)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765128>, <kernel.DependentProduct object at 0x27653b0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765050>, <kernel.DependentProduct object at 0x27653f8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27653b0>, <kernel.DependentProduct object at 0x2765488>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring set_or890127255671739683et_nat:(set_nat->set_set_nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27652d8>, <kernel.DependentProduct object at 0x27655a8>) of role type named sy_c_String_OCode_Oabort_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring abort_real:(literal->((product_unit->real)->real))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27653f8>, <kernel.DependentProduct object at 0x2765560>) of role type named sy_c_String_OLiteral
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring literal2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(literal->literal))))))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765518>, <kernel.DependentProduct object at 0x27656c8>) of role type named sy_c_String_Ochar_OChar
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765290>, <kernel.DependentProduct object at 0x2765758>) of role type named sy_c_String_Ochar_Osize__char
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_char:(char->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x27653f8>, <kernel.DependentProduct object at 0x2765518>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765290>, <kernel.DependentProduct object at 0x2765710>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765518>, <kernel.DependentProduct object at 0x27657e8>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x2765710>, <kernel.DependentProduct object at 0x2765878>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27657e8>, <kernel.DependentProduct object at 0x2765518>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Int__Oint
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo4899668324122417113eq_int:((nat->int)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765878>, <kernel.DependentProduct object at 0x27658c0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Nat__Onat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo4902158794631467389eq_nat:((nat->nat)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765518>, <kernel.DependentProduct object at 0x2765950>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Num__Onum
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo1459490580787246023eq_num:((nat->num)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27658c0>, <kernel.DependentProduct object at 0x27659e0>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Rat__Orat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo4267028734544971653eq_rat:((nat->rat)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765950>, <kernel.DependentProduct object at 0x2765a70>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27659e0>, <kernel.DependentProduct object at 0x2765b00>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo7278393974255667507et_nat:((nat->set_nat)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765a70>, <kernel.DependentProduct object at 0x27659e0>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765b00>, <kernel.DependentProduct object at 0x2765c20>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oconvergent_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo7531315842566124627t_real:((nat->real)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27659e0>, <kernel.DependentProduct object at 0x2765cf8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765c20>, <kernel.DependentProduct object at 0x2765d40>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765cf8>, <kernel.Constant object at 0x2765bd8>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo896644834953643431omplex:filter6041513312241820739omplex
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765d40>, <kernel.Constant object at 0x27659e0>) of role type named sy_c_Topological__Spaces_Ouniformity__class_Ouniformity_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring topolo1511823702728130853y_real:filter2146258269922977983l_real
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765e18>, <kernel.DependentProduct object at 0x2765f38>) of role type named sy_c_Transcendental_Oarccos
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring arccos:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765dd0>, <kernel.DependentProduct object at 0x2765f80>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring arcosh_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765e60>, <kernel.DependentProduct object at 0x2765fc8>) of role type named sy_c_Transcendental_Oarcsin
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring arcsin:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27659e0>, <kernel.DependentProduct object at 0x2767050>) of role type named sy_c_Transcendental_Oarctan
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring arctan:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765f38>, <kernel.DependentProduct object at 0x2767098>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring arsinh_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765fc8>, <kernel.DependentProduct object at 0x27670e0>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring artanh_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765f80>, <kernel.DependentProduct object at 0x2767128>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring cos_complex:(complex->complex)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27659e0>, <kernel.DependentProduct object at 0x2767170>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring cos_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765050>, <kernel.DependentProduct object at 0x2767200>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring cos_coeff:(nat->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765fc8>, <kernel.DependentProduct object at 0x27671b8>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring cosh_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765050>, <kernel.DependentProduct object at 0x2767248>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring cot_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765e60>, <kernel.DependentProduct object at 0x2767200>) of role type named sy_c_Transcendental_Odiffs_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring diffs_complex:((nat->complex)->(nat->complex))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2765e60>, <kernel.DependentProduct object at 0x2767050>) of role type named sy_c_Transcendental_Odiffs_001t__Int__Oint
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring diffs_int:((nat->int)->(nat->int))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767128>, <kernel.DependentProduct object at 0x2767290>) of role type named sy_c_Transcendental_Odiffs_001t__Rat__Orat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring diffs_rat:((nat->rat)->(nat->rat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27671b8>, <kernel.DependentProduct object at 0x27672d8>) of role type named sy_c_Transcendental_Odiffs_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring diffs_real:((nat->real)->(nat->real))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27670e0>, <kernel.DependentProduct object at 0x2767200>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring exp_complex:(complex->complex)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767170>, <kernel.DependentProduct object at 0x2767050>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring exp_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767248>, <kernel.DependentProduct object at 0x2767440>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring ln_ln_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27672d8>, <kernel.DependentProduct object at 0x2767170>) of role type named sy_c_Transcendental_Olog
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring log:(real->(real->real))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767488>, <kernel.Constant object at 0x2767170>) of role type named sy_c_Transcendental_Opi
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring pi:real
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767440>, <kernel.DependentProduct object at 0x27672d8>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring powr_real:(real->(real->real))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767098>, <kernel.DependentProduct object at 0x2767440>) of role type named sy_c_Transcendental_Opowr__real
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring powr_real2:(real->(real->real))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767050>, <kernel.DependentProduct object at 0x2767638>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring sin_complex:(complex->complex)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767440>, <kernel.DependentProduct object at 0x27675f0>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring sin_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767200>, <kernel.DependentProduct object at 0x2767680>) of role type named sy_c_Transcendental_Osin__coeff
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring sin_coeff:(nat->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767638>, <kernel.DependentProduct object at 0x2767440>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring sinh_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767680>, <kernel.DependentProduct object at 0x27676c8>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring tan_complex:(complex->complex)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767488>, <kernel.DependentProduct object at 0x2767710>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring tan_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767200>, <kernel.DependentProduct object at 0x2767758>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring tanh_complex:(complex->complex)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767440>, <kernel.DependentProduct object at 0x27677a0>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring tanh_real:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767200>, <kernel.DependentProduct object at 0x27676c8>) of role type named sy_c_Transfer_Obi__total_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring bi_tot896582865486249351at_int:((product_prod_nat_nat->(int->Prop))->Prop)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27677a0>, <kernel.DependentProduct object at 0x2767200>) of role type named sy_c_Transitive__Closure_Ortrancl_001t__Nat__Onat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring transi2905341329935302413cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27676c8>, <kernel.DependentProduct object at 0x27677a0>) of role type named sy_c_Transitive__Closure_Otrancl_001t__Nat__Onat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring transi6264000038957366511cl_nat:(set_Pr1261947904930325089at_nat->set_Pr1261947904930325089at_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767518>, <kernel.DependentProduct object at 0x2767998>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x27677e8>, <kernel.DependentProduct object at 0x27677a0>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767a70>, <kernel.DependentProduct object at 0x27676c8>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767518>, <kernel.DependentProduct object at 0x2767a70>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767b00>, <kernel.DependentProduct object at 0x27676c8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_elim_dead:(vEBT_VEBT->(extended_enat->vEBT_VEBT))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767ab8>, <kernel.DependentProduct object at 0x27676c8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oelim__dead__rel
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_V312737461966249ad_rel:(produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767b90>, <kernel.DependentProduct object at 0x2767b00>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x2767ab8>, <kernel.DependentProduct object at 0x2767b90>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767998>, <kernel.DependentProduct object at 0x2767b00>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767cb0>, <kernel.DependentProduct object at 0x2767ab8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767998>, <kernel.DependentProduct object at 0x2767b90>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767ab8>, <kernel.DependentProduct object at 0x2767998>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767b90>, <kernel.DependentProduct object at 0x2767b00>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767d88>, <kernel.DependentProduct object at 0x2767998>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767e60>, <kernel.DependentProduct object at 0x2767998>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_valid_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767950>, <kernel.DependentProduct object at 0x2767e60>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767ef0>, <kernel.DependentProduct object at 0x2767f80>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767b00>, <kernel.DependentProduct object at 0x2767998>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767950>, <kernel.DependentProduct object at 0x2767b00>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767f38>, <kernel.DependentProduct object at 0x2767f80>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767950>, <kernel.DependentProduct object at 0x276a050>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767998>, <kernel.DependentProduct object at 0x276a0e0>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767b00>, <kernel.DependentProduct object at 0x276a098>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767ef0>, <kernel.DependentProduct object at 0x276a200>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767b00>, <kernel.DependentProduct object at 0x276a098>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a050>, <kernel.DependentProduct object at 0x276a0e0>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x2767ef0>, <kernel.DependentProduct object at 0x276a1b8>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a170>, <kernel.DependentProduct object at 0x276a050>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a248>, <kernel.DependentProduct object at 0x276a170>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a0e0>, <kernel.DependentProduct object at 0x276a1b8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a290>, <kernel.DependentProduct object at 0x276a248>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a320>, <kernel.DependentProduct object at 0x276a0e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a3f8>, <kernel.DependentProduct object at 0x276a290>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a170>, <kernel.DependentProduct object at 0x276a320>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a1b8>, <kernel.DependentProduct object at 0x276a3f8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a248>, <kernel.DependentProduct object at 0x276a170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a1b8>, <kernel.DependentProduct object at 0x276a5f0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a290>, <kernel.DependentProduct object at 0x276a170>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a200>, <kernel.DependentProduct object at 0x276a3f8>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a710>, <kernel.DependentProduct object at 0x276a170>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a5f0>, <kernel.DependentProduct object at 0x276a758>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a6c8>, <kernel.DependentProduct object at 0x276a710>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a440>, <kernel.DependentProduct object at 0x276a5f0>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a878>, <kernel.DependentProduct object at 0x276a1b8>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a7a0>, <kernel.DependentProduct object at 0x276a758>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a170>, <kernel.DependentProduct object at 0x276a1b8>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a950>, <kernel.DependentProduct object at 0x276a6c8>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a3f8>, <kernel.DependentProduct object at 0x276a5f0>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a710>, <kernel.DependentProduct object at 0x276a1b8>) of role type named sy_c_Wellfounded_Oaccp_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_list_nat:((list_nat->(list_nat->Prop))->(list_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a3f8>, <kernel.DependentProduct object at 0x276a758>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a710>, <kernel.DependentProduct object at 0x276a998>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a758>, <kernel.DependentProduct object at 0x276aa28>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_P4275260045618599050at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(product_prod_nat_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a998>, <kernel.DependentProduct object at 0x276a6c8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Extended____Nat__Oenat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_P6183159247885693666d_enat:((produc7272778201969148633d_enat->(produc7272778201969148633d_enat->Prop))->(produc7272778201969148633d_enat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276aa28>, <kernel.DependentProduct object at 0x276a710>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276ab90>, <kernel.DependentProduct object at 0x276a998>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x276a908>, <kernel.Constant object at 0x276a6c8>) of role type named sy_c_Wellfounded_Oless__than
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring less_than:set_Pr1261947904930325089at_nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276ac68>, <kernel.DependentProduct object at 0x276a908>) of role type named sy_c_Wellfounded_Olex__prod_001t__Nat__Onat_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring lex_prod_nat_nat:(set_Pr1261947904930325089at_nat->(set_Pr1261947904930325089at_nat->set_Pr8693737435421807431at_nat))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276a998>, <kernel.DependentProduct object at 0x276ac68>) of role type named sy_c_Wellfounded_Omax__ext_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring max_ex8135407076693332796at_nat:(set_Pr8693737435421807431at_nat->set_Pr4329608150637261639at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276a908>, <kernel.DependentProduct object at 0x276a998>) of role type named sy_c_Wellfounded_Omin__ext_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring min_ex6901939911449802026at_nat:(set_Pr8693737435421807431at_nat->set_Pr4329608150637261639at_nat)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276ab00>, <kernel.Constant object at 0x276ac20>) of role type named sy_c_Wellfounded_Opred__nat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring pred_nat:set_Pr1261947904930325089at_nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276ad88>, <kernel.DependentProduct object at 0x276ae60>) of role type named sy_c_Wellfounded_Owf_001t__Int__Oint
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring wf_int:(set_Pr958786334691620121nt_int->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276a908>, <kernel.DependentProduct object at 0x276aea8>) of role type named sy_c_Wellfounded_Owf_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring wf_nat:(set_Pr1261947904930325089at_nat->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276ad88>, <kernel.DependentProduct object at 0x276aef0>) of role type named sy_c_Wellfounded_Owf_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring wf_Pro7803398752247294826at_nat:(set_Pr8693737435421807431at_nat->Prop)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276a710>, <kernel.DependentProduct object at 0x276f050>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring fChoice_real:((real->Prop)->real)
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276ac20>, <kernel.DependentProduct object at 0x276a710>) of role type named sy_c_member_001_Eo
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_o:(Prop->(set_o->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276afc8>, <kernel.DependentProduct object at 0x276f050>) of role type named sy_c_member_001t__Code____Numeral__Ointeger
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_Code_integer:(code_integer->(set_Code_integer->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276a908>, <kernel.DependentProduct object at 0x276f098>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_complex:(complex->(set_complex->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276af38>, <kernel.DependentProduct object at 0x276f050>) of role type named sy_c_member_001t__Extended____Nat__Oenat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_Extended_enat:(extended_enat->(set_Extended_enat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276a710>, <kernel.DependentProduct object at 0x276f128>) of role type named sy_c_member_001t__Int__Oint
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_int:(int->(set_int->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276aea8>, <kernel.DependentProduct object at 0x276f1b8>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276af38>, <kernel.DependentProduct object at 0x276f200>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f0e0>, <kernel.DependentProduct object at 0x276f248>) of role type named sy_c_member_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member2936631157270082147T_VEBT:(list_VEBT_VEBT->(set_list_VEBT_VEBT->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276af38>, <kernel.DependentProduct object at 0x276f1b8>) of role type named sy_c_member_001t__Nat__Onat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_nat:(nat->(set_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276af38>, <kernel.DependentProduct object at 0x276f098>) of role type named sy_c_member_001t__Num__Onum
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_num:(num->(set_num->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f290>, <kernel.DependentProduct object at 0x276f128>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f098>, <kernel.DependentProduct object at 0x276f1b8>) 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
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member8206827879206165904at_nat:(produc859450856879609959at_nat->(set_Pr8693737435421807431at_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f128>, <kernel.DependentProduct object at 0x276f3b0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member8757157785044589968at_nat:(produc3843707927480180839at_nat->(set_Pr4329608150637261639at_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f290>, <kernel.DependentProduct object at 0x276f1b8>) of role type named sy_c_member_001t__Rat__Orat
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_rat:(rat->(set_rat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f170>, <kernel.DependentProduct object at 0x276f290>) of role type named sy_c_member_001t__Real__Oreal
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_real:(real->(set_real->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f560>, <kernel.DependentProduct object at 0x276f128>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f050>, <kernel.DependentProduct object at 0x276f1b8>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f290>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_deg____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring deg:nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f128>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_m____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring m:nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f440>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_ma____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring ma:nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f638>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_mi____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring mi:nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f5f0>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_na____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring na:nat
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f680>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_summary____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring summary:vEBT_VEBT
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f6c8>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_treeList____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring treeList:list_VEBT_VEBT
% 0.76/0.93 FOF formula (<kernel.Constant object at 0x276f710>, <kernel.Constant object at 0x276f1b8>) of role type named sy_v_xa____
% 0.76/0.93 Using role type
% 0.76/0.93 Declaring xa:nat
% 0.76/0.93 FOF formula (forall (X:nat) (Y:nat), (((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions summary) Y)))) of role axiom named fact_0__C5_OIH_C_I2_J
% 0.76/0.93 A new axiom: (forall (X:nat) (Y:nat), (((eq Prop) ((vEBT_V8194947554948674370ptions ((vEBT_vebt_delete summary) X)) Y)) ((and (not (((eq nat) X) Y))) ((vEBT_V8194947554948674370ptions summary) Y))))
% 0.76/0.93 FOF formula (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1))))) of role axiom named fact_1_not__min__Null__member
% 0.76/0.93 A new axiom: (forall (T:vEBT_VEBT), (((vEBT_VEBT_minNull T)->False)->((ex nat) (fun (X_1:nat)=> ((vEBT_V8194947554948674370ptions T) X_1)))))
% 0.76/0.93 FOF formula (((eq nat) m) (suc na)) of role axiom named fact_2__C5_Ohyps_C_I3_J
% 0.76/0.93 A new axiom: (((eq nat) m) (suc na))
% 0.76/0.93 FOF formula ((vEBT_invar_vebt summary) m) of role axiom named fact_3__C5_Ohyps_C_I1_J
% 0.76/0.93 A new axiom: ((vEBT_invar_vebt summary) m)
% 0.76/0.93 FOF formula ((ord_less_eq_nat mi) ma) of role axiom named fact_4__C5_Ohyps_C_I7_J
% 0.76/0.93 A new axiom: ((ord_less_eq_nat mi) ma)
% 0.76/0.93 <<<_VEBT] :
% 0.76/0.93 ( ( member_VEBT_VEBT @ X2 @ ( set_VEBT_VEBT2 @ treeList ) )
% 0.76/0.93 => ~ ?>>>!!!<<< [X_12: nat] : ( vEBT_V8194947554948674370ptions @ X2 @ X_12 ) ) ) ).
% 0.76/0.93
% 0.76/0.93 % "5.hyps"(6)
% 0.76/0.93 thf(f>>>
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TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,157930), LexToken(LPAR,'(',1,157933), name, LexToken(COMMA,',',1,157957), formula_role, LexToken(COMMA,',',1,157963), LexToken(LPAR,'(',1,157969), thf_unitary_formula, thf_pair_connective, thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,157991), thf_variable_list, LexToken(RBRACKET,']',1,158005), LexToken(COLON,':',1,158007), LexToken(LPAR,'(',1,158017), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.76/0.93 Unexpected exception Syntax error at '?':QUESTION
% 0.76/0.93 Traceback (most recent call last):
% 0.76/0.93 File "CASC.py", line 79, in <module>
% 0.76/0.93 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.76/0.93 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.76/0.93 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.76/0.93 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.76/0.93 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.76/0.93 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.76/0.93 tok = self.errorfunc(errtoken)
% 0.76/0.93 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.76/0.93 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.76/0.93 TPTPparser.TPTPParsingError: Syntax error at '?':QUESTION
%------------------------------------------------------------------------------