TSTP Solution File: SCT096-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT096-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Mon Jul 18 21:01:12 EDT 2022
% Result : Timeout 300.04s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT096-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 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 : Sat Jul 2 07:43:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.03/1.45 *** allocated 10000 integers for termspace/termends
% 1.03/1.45 *** allocated 10000 integers for clauses
% 1.03/1.45 *** allocated 10000 integers for justifications
% 1.03/1.45 *** allocated 15000 integers for termspace/termends
% 1.03/1.45 *** allocated 22500 integers for termspace/termends
% 1.03/1.45 *** allocated 33750 integers for termspace/termends
% 1.03/1.45 Bliksem 1.12
% 1.03/1.45
% 1.03/1.45
% 1.03/1.45 Automatic Strategy Selection
% 1.03/1.45
% 1.03/1.45 Clauses:
% 1.03/1.45 [
% 1.03/1.45 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.45 ), Y ) ) ],
% 1.03/1.45 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.03/1.45 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.45 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.45 Z ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 T, X ) ), 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.03/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.03/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.03/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.03/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.03/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.03/1.45 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 1.03/1.45 Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.03/1.45 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.45 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.03/1.45 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.45 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.03/1.45 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.03/1.45 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.03/1.45 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.03/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ =( 'c_Finite__Set_Ofold__image'( X, Y, Z,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), U, T ), Z ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), Y, X ) ],
% 1.03/1.45 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 1.03/1.45 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.03/1.45 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.45 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.03/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), Z ) ), Z ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.03/1.45 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.45 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ), Z, X ), Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 T, X ) ), 'c_Power_Opower__class_Opower'( Z, T, X ) ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), X ) ],
% 1.03/1.45 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( X, T ) ) ) ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X
% 1.03/1.45 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 1.03/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.03/1.45 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 1.03/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), X ), X, X ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Oring__1__class_OInts'( X
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.45 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), X ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.03/1.45 X, 'tc_bool' ) ), Y ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( X ), Y ), T ) ) ), ~( =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.45 ) ), Y ) ) ) ],
% 1.03/1.45 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.03/1.45 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), X ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.03/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.03/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.03/1.45 X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.03/1.45 X ), Y ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.03/1.45 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.45 X, Y ) ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.03/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.03/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), X ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.45 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.03/1.45 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.03/1.45 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 1.03/1.45 , Z, T ), Z ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.03/1.45 X, T ), Y ) ) ) ],
% 1.03/1.45 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.03/1.45 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.03/1.45 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.03/1.45 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.03/1.45 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.03/1.45 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 1.03/1.45 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.45 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.03/1.45 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.03/1.45 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.45 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 1.03/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.45 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.45 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.03/1.45 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.03/1.45 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.03/1.45 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.03/1.45 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.03/1.45 , Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.03/1.45 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.03/1.45 'c_lessequals'( Y, Z, X ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.03/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.03/1.45 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.03/1.45 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ), Y ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.03/1.45 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.03/1.45 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.03/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.03/1.45 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 1.03/1.45 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z,
% 1.03/1.45 'c_Set_Oinsert'( T, U, W ), X, W ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, T ) ),
% 1.03/1.45 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, U, X
% 1.03/1.45 , W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( W ), T ), U ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( U, W ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.03/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.03/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 T, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.03/1.45 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.03/1.45 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.03/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.03/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 T, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 T, Z, X ) ) ), =( Y, T ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.03/1.45 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) )
% 1.03/1.45 ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.03/1.45 'tc_bool' ) ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.03/1.45 'tc_bool' ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.03/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.03/1.45 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.03/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.03/1.45 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.03/1.45 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.03/1.45 , Z ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( X ), Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.03/1.45 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 Z, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 , Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Oring__1__class_OInts'( X )
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.03/1.45 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.03/1.45 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.03/1.45 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 1.03/1.45 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 1.03/1.45 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.03/1.45 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, Z, X ) ), Y
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, Z, X ) ), Y ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( 'c_Wellfounded_Owf'(
% 1.03/1.45 Z, X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), X ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 1.03/1.45 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( Y, Z, T, X, U ) ), Y ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Relation_OImage'( T, Y, X, U )
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( Y, Z, T, X, U ) ), Y )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Relation_OImage'( T, Y, X
% 1.03/1.45 , U ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.03/1.45 , 'tc_bool' ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.03/1.45 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.03/1.45 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.03/1.45 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.03/1.45 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.03/1.45 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'( Z, T ) ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.03/1.45 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( Z, 't_a' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, Z ) )
% 1.03/1.45 , 'c_Wellfounded_Oacc'( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y
% 1.03/1.45 ), 'c_Wellfounded_Oacc'( T, Z ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( Y, Z, X ) ),
% 1.03/1.45 'c_Wellfounded_Oacc'( Y, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 1.03/1.45 'c_Wellfounded_Oacc'( Y, X ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'( Z, T
% 1.03/1.45 ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.03/1.45 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( Z, 't_a' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Z, Y, X ) ),
% 1.03/1.45 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, Z ) ),
% 1.03/1.45 'c_Wellfounded_Oacc'( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y )
% 1.03/1.45 , 'c_Wellfounded_Oacc'( T, Z ) ) ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.03/1.45 Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ), X ) ],
% 1.03/1.45 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.03/1.45 ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X ),
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 1.03/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), 'c_Relation_OId'( X ), X ) ],
% 1.03/1.45 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.03/1.45 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 1.03/1.45 Z, T ), T ) ) ],
% 1.03/1.45 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.45 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.03/1.45 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.45 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ), Y ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ), Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ), Y ) ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.03/1.45 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.03/1.45 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.03/1.45 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.03/1.45 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.03/1.45 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.03/1.45 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.03/1.45 'tc_bool' ) ), Z ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 1.03/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 1.03/1.45 ), X ), Y ) ), =( Y, T ) ],
% 1.03/1.45 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.03/1.45 , X ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.03/1.45 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 X ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.03/1.45 , Z ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.03/1.45 , Z ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.03/1.45 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.03/1.45 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.03/1.45 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 1.03/1.45 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.03/1.45 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.03/1.45 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.03/1.45 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.03/1.45 , Y ), U ) ) ) ],
% 1.03/1.45 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.03/1.45 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.03/1.45 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 1.03/1.45 , X, Z ) ) ],
% 1.03/1.45 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.03/1.45 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.03/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), ~( 'c_lessequals'( U
% 1.03/1.45 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.03/1.45 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, T, X )
% 1.03/1.45 ), 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 1.03/1.45 ), ~( 'c_lessequals'( Y, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( Y, hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.45 'c_Int_Oring__1__class_OInts'( X ) ) ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 1.03/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Oring__1__class_OInts'( X )
% 1.03/1.45 ) ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.03/1.45 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ) ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.03/1.45 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 1.03/1.45 , T ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.03/1.45 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.03/1.45 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.03/1.45 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.03/1.45 X, X ), Z, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( hAPP( Y,
% 1.03/1.45 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1'( Z, Y, T, X
% 1.03/1.45 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.03/1.45 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Z, Y, T, X ),
% 1.03/1.45 X, X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.03/1.45 'c_Pair'( Y, T, X, X ) ), 'c_Transitive__Closure_Otrancl'( Z, X ) ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, Z, T, X )
% 1.03/1.45 , T, X, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.03/1.45 'c_Pair'( Z, T, X, X ) ), 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 1.03/1.45 ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.03/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.45 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ),
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.03/1.45 , Z ), T ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.03/1.45 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.03/1.45 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.03/1.45 ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_Finite__Set_Ofold__image'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.03/1.45 , T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.03/1.45 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.45 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ), Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 1.03/1.45 'c_Relation_Osym'( X, Y ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 1.03/1.45 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 1.03/1.45 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 1.03/1.45 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.03/1.45 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.45 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.45 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.45 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.45 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.45 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.03/1.45 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.45 Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ), 'c_Finite__Set_Osetsum'(
% 1.03/1.45 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X ), 'c_COMBC'( 'c_in'( U )
% 1.03/1.45 , T, U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'tc_bool', 'tc_fun'( X,
% 1.03/1.45 'tc_fun'( X, X ) ), U ), Y, U, X, 'tc_fun'( X, X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), U, X, X ), Z, U, X ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.03/1.45 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.03/1.45 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.03/1.45 ) ), U, Y, X, X ), W, Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.45 Y, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( X ), T ), W ) ) ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.03/1.45 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.03/1.45 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.03/1.45 ) ), U, Y, X, X ), W, Y, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.03/1.45 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) ) ) ],
% 1.03/1.45 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.03/1.45 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.03/1.45 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.03/1.45 ) ), U, Y, X, X ), W, Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U )
% 1.03/1.45 , W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X1__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X1__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.03/1.45 , =( T, U ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X1__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X1__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.03/1.45 , =( T, U ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.03/1.45 , =( T, U ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( Z
% 1.03/1.45 , W, X, T, Y, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( Z
% 1.03/1.45 , W, X, T, Y, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, T ), =( X, U ), =( T, U )
% 1.03/1.45 , =( X, Y ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( W
% 1.03/1.45 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.03/1.45 , =( T, U ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( Z
% 1.03/1.45 , W, X, T, Y, U ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( Z
% 1.03/1.45 , W, X, T, Y, U ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, T ), =( X, U ), =( T, U )
% 1.03/1.45 , =( X, Y ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z,
% 1.03/1.45 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) ) ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , hAPP( W, 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) )
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ), =( T, U ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W,
% 1.03/1.45 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) ) ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , hAPP( Z, 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) )
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, U ), =( X, Y ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z,
% 1.03/1.45 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) ) ) ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , hAPP( W, 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) )
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ), =( T, U ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W,
% 1.03/1.45 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) ) ) ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , hAPP( Z, 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) )
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, U ), =( X, Y ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( T
% 1.03/1.45 , Z, Y, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( T
% 1.03/1.45 , Z, Y, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, X ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( Z
% 1.03/1.45 , T, X, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( Z
% 1.03/1.45 , T, X, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( T
% 1.03/1.45 , Z, Y, X ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( T
% 1.03/1.45 , Z, Y, X ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, X ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( Z
% 1.03/1.45 , T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( Z
% 1.03/1.45 , T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( U
% 1.03/1.45 , Z, T, X, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( U
% 1.03/1.45 , Z, T, X, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, Y ), =( X, Y ), =( T, X )
% 1.03/1.45 ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( Z
% 1.03/1.45 , U, X, Y, T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( Z
% 1.03/1.45 , U, X, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 1.03/1.45 ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( U
% 1.03/1.45 , Z, T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( U
% 1.03/1.45 , Z, T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, Y ), =( X, Y ), =( T, X )
% 1.03/1.45 ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'v_F'( U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( Z
% 1.03/1.45 , U, X, Y, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( Z
% 1.03/1.45 , U, X, Y, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.45 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.03/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat__aux'( 'c_COMBC'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ), X, X, X )
% 1.03/1.45 , Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), 'c_COMBS'(
% 1.03/1.45 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X, X ), Z ),
% 1.03/1.45 T, Z, X, X ), 'c_HOL_Ozero__class_Ozero'( X ), U, X, Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Ofold__image'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( X ), U, X
% 1.03/1.45 , Z ) ), 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( X ), U, X, Z ) ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ), Y ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.03/1.45 , Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.45 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 X ) ), Y ) ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.45 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.45 ), 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.03/1.45 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.03/1.45 ) ), U, Y, X, X ), W, Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.45 ), 'c_Finite__Set_Osetsum'( T,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( W, Z, 'tc_fun'( Y,
% 1.03/1.45 'tc_bool' ) ), Y, X ) ), 'c_Finite__Set_Osetsum'( U,
% 1.03/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( W, hAPP(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.03/1.45 Y, 'tc_bool' ) ), Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.45 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.03/1.45 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ), U, Y, X, X ), W
% 1.03/1.45 , Y, X ), 'c_Power_Opower__class_Opower'( U, 'c_Finite__Set_Ocard'( W, Y
% 1.03/1.45 ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), W ) ), ~(
% 1.03/1.45 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, Z, T, X ),
% 1.03/1.45 T, X, X ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, T, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.03/1.45 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Z, Y, T, X )
% 1.03/1.45 , X, X ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( Z, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( Z, T, Y, X ), Z, X, Y
% 1.03/1.45 ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'(
% 1.03/1.45 T, X, Y ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( Z, T, Y, X ), Z, X, Y ) )
% 1.03/1.45 , T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'( T,
% 1.03/1.45 X, Y ) ) ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.03/1.45 'tc_prod'( Z, Z ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) )
% 1.03/1.45 , 'c_Pair'( Y, X, Z, Z ) ), 'c_Transitive__Closure_Ortrancl'( T, Z ) ) )
% 1.03/1.45 , ~( 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X,
% 1.03/1.45 X ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Z, Y, X, X ), T,
% 1.03/1.45 'tc_prod'( X, X ) ), X ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( Z,
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, U, T ), T, T )
% 1.03/1.45 ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'(
% 1.03/1.45 U, T ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Z ),
% 1.03/1.45 'c_Wellfounded_Oacc'( T, 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.03/1.45 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ) ), T ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.03/1.45 't_a' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.03/1.45 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ) ), T ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.03/1.45 't_a' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Z ),
% 1.03/1.45 'c_Wellfounded_Oacc'( T, 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.03/1.45 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ) ), T ) )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.03/1.45 't_a' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Z, Y, X ), Y, X,
% 1.03/1.45 X ) ), Z ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.03/1.45 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ) ), T ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.03/1.45 't_a' ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( Z,
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, U, T ), T
% 1.03/1.45 , T ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 1.03/1.45 'c_Wellfounded_Oacc'( U, T ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( Y, Z, X ), Z, X
% 1.03/1.45 , X ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Wellfounded_Oacc'(
% 1.03/1.45 Y, X ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z,
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( Z, T, X, Y ), X, Y )
% 1.03/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Relation_ODomain'(
% 1.03/1.45 T, X, Y ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z,
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( Z, T, X, Y ), X, Y ) ), T
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Relation_ODomain'( T, X
% 1.03/1.45 , Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( 'c_COMBS'( 'c_COMBB'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z,
% 1.03/1.45 X, X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, U, Z, X ) ), 'c_Finite__Set_Osetprod'( T, U
% 1.03/1.45 , Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( Z, T, U, X, Y ), T, X
% 1.03/1.45 , Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ),
% 1.03/1.45 'c_Relation_OImage'( U, Z, X, Y ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.03/1.45 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( Z, T, U, X, Y ), T, X, Y )
% 1.03/1.45 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 1.03/1.45 , Z, X, Y ) ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Z, T, X ), X,
% 1.03/1.45 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( T, X ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.03/1.45 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Z, T, X ), X, X ) ),
% 1.03/1.45 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), hBOOL( hAPP( hAPP( 'c_in'( T )
% 1.03/1.45 , 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1'( Z, Y, T,
% 1.03/1.45 X ) ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X )
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.03/1.45 Y, X ) ) ) ) ],
% 1.03/1.45 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.03/1.45 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.03/1.45 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.03/1.45 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.03/1.45 ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.03/1.45 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.03/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.03/1.45 Y, X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.03/1.45 ) ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.03/1.45 , X ), X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.03/1.45 , X ), X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.45 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.45 Y ) ],
% 1.03/1.45 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.03/1.45 'c_Relation_Osym'( X, Y ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.45 , ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( 'c_lessequals'( Z, U, X
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Y ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 Y ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' ),
% 1.03/1.45 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 1.03/1.45 'tc_bool' ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.03/1.45 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.45 ), =( Y, Z ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.03/1.45 Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.03/1.45 Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.45 ), =( Z, Y ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( 'c_lessequals'(
% 1.03/1.45 Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, X )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ),
% 1.03/1.45 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( 'c_lessequals'( Z, Y, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), U ) ) ), ~(
% 1.03/1.45 'c_lessequals'( hAPP( T, Y ), hAPP( T, Z ), 'tc_nat' ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.45 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.03/1.45 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.03/1.45 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.03/1.45 ), Y ) ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.03/1.45 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ) ) ) ],
% 1.03/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ) ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.03/1.45 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ),
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) )
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T,
% 1.03/1.45 X, X ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.03/1.45 ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, X ) )
% 1.03/1.45 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X
% 1.03/1.45 ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.03/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.03/1.45 X, Y, Z, Z ) ), 'c_Transitive__Closure_Ortrancl'( T, Z ) ) ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( Z ), X ), 'c_Relation_ODomain'( T, Z, Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.45 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.03/1.45 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Oone__class_Oone'( X ), Y, X
% 1.03/1.45 , X ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z )
% 1.03/1.45 , U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.45 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.03/1.45 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.03/1.45 , X, X ), U, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( Y ), Z ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.45 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.03/1.45 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.03/1.45 , X, X ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z
% 1.03/1.45 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.45 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.03/1.45 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Oone__class_Oone'( X ), Y, X
% 1.03/1.45 , X ), U, Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( Y ), Z ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.45 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 1.03/1.45 , Y ) ) ) ],
% 1.03/1.45 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.03/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 1.03/1.45 , Y ) ) ) ],
% 1.03/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), T ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.45 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.03/1.45 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X ), Y ), Z ) ), T ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.45 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.45 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.03/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.45 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.45 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.03/1.45 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.03/1.45 Z, 'tc_nat' ) ) ],
% 1.03/1.45 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.03/1.45 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 Z, 'tc_nat' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.03/1.45 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.03/1.45 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.03/1.45 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 1.03/1.45 X, Y ), X, Y, Y, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.03/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.03/1.45 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.03/1.45 'c_Relation_Osym'( X, Z ) ) ],
% 1.03/1.45 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.03/1.45 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.03/1.45 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.03/1.45 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.03/1.45 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.45 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.45 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.03/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.45 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.03/1.45 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'( X, Y, Z ), Z ), ~(
% 1.03/1.45 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.45 ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.03/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.03/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.45 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.03/1.45 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.03/1.45 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.03/1.46 ,
% 1.03/1.46 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 1.03/1.46 Y, Z ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.03/1.46 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.46 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.03/1.46 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.46 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.03/1.46 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.46 , X ), Y ), 'tc_nat' ) ],
% 1.03/1.46 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.46 , Y ), X ), 'tc_nat' ) ],
% 1.03/1.46 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.46 , X ), Y ), 'tc_nat' ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.46 X ), X ) ) ],
% 1.03/1.46 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.03/1.46 , Y, 'tc_nat' ) ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.46 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.46 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.03/1.46 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.46 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.03/1.46 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.46 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.46 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.03/1.46 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.46 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.03/1.46 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.03/1.46 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.46 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.46 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.03/1.46 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.03/1.46 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.46 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.03/1.46 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.46 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.03/1.46 ],
% 1.03/1.46 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 1.03/1.46 ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.03/1.46 ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.46 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.46 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.46 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.03/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.03/1.46 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.46 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.03/1.46 ,
% 1.03/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.46 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.03/1.46 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.03/1.46 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 1.03/1.46 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 1.03/1.46 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 1.03/1.46 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.03/1.46 X, T, U ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.03/1.46 hAPP( X, U ) ) ) ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.03/1.46 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.03/1.46 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X, Y ), Y ) ],
% 1.03/1.46 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 1.03/1.46 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.03/1.46 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.03/1.46 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.03/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.03/1.46 ,
% 1.03/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.46 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.03/1.46 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), T ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X,
% 1.03/1.46 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.03/1.46 'c_Pair'( Z, Y, X, X ) ), T ) ) ), ~( 'c_Wellfounded_Owf'( T, X ) ) ]
% 1.03/1.46 ,
% 1.03/1.46 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.03/1.46 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 1.03/1.46 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 1.03/1.46 ],
% 1.03/1.46 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.03/1.46 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 1.03/1.46 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 1.03/1.46 ],
% 1.03/1.46 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.46 'tc_prod'( T, T ) ), 'c_Pair'( Y, Z, T, T ) ), U ) ) ), ~(
% 1.03/1.46 'c_Equiv__Relations_Ocongruent'( U, X, T, W ) ) ],
% 1.03/1.46 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.03/1.46 X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 1.03/1.46 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 1.03/1.46 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.46 'tc_prod'( T, T ) ), 'c_Pair'( V0, Z, T, T ) ), Y ) ) ) ],
% 1.03/1.46 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.03/1.46 X, Y, Z, Z ) ), 'c_Relation_OId'( Z ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), Z ) ), ~( 'c_Nitpick_Orefl_H'( Z, X ) ) ],
% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 1.03/1.46 X ) ), Z ) ) ), ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Relation_Oinv__image'( T, U, W, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( W, W ) ), 'c_Pair'( hAPP( U, Y ), hAPP( U, Z ), W, W )
% 1.03/1.46 ), T ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( hAPP( Y, Z )
% 1.03/1.46 , hAPP( Y, T ), X, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 W, W ) ), 'c_Pair'( Z, T, W, W ) ), 'c_Relation_Oinv__image'( U, Y, X, W
% 1.03/1.46 ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 1.03/1.46 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 1.03/1.46 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.03/1.46 ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( V0, Y ) ), 'c_Pair'( V1, T, V0, Y ) ), W ) ) ), ~(
% 1.03/1.46 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, V0 ) ), 'c_Pair'( Z, V1, X, V0 )
% 1.03/1.46 ), U ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.03/1.46 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) )
% 1.03/1.46 ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.03/1.46 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), 'c_Relation_OId'( X ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), 'c_Relation_OId'( X ) ) ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.03/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.46 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ),
% 1.03/1.46 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ) ) ), =( X, Y
% 1.03/1.46 ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.46 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.46 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.03/1.46 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.03/1.46 'c_HOL_Oone__class_Oone'( X ), Y, X, X ), U, Y, X ),
% 1.03/1.46 'c_HOL_Oone__class_Oone'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U )
% 1.03/1.46 ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.46 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.46 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.03/1.46 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), U, Y, X ), hAPP( T, Z ) ),
% 1.03/1.46 ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.03/1.46 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.46 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.46 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.03/1.46 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.03/1.46 'c_HOL_Oone__class_Oone'( X ), Y, X, X ), U, Y, X ), hAPP( T, Z ) ), ~(
% 1.03/1.46 hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.46 U, Y ) ) ],
% 1.03/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.46 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.03/1.46 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.03/1.46 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), U, Y, X ),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U
% 1.03/1.46 ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.03/1.46 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.03/1.46 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.03/1.46 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.03/1.46 ) ), U, Y, X, X ), W, Y, X ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 1.03/1.46 W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.03/1.46 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.46 Z ), U ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.03/1.46 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.46 Z ), U ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.46 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.03/1.46 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.03/1.46 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.03/1.46 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.03/1.46 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.03/1.46 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 1.03/1.46 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 1.03/1.46 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 1.03/1.46 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 1.03/1.46 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 1.03/1.46 'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.03/1.46 Y ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.03/1.46 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.03/1.46 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.03/1.46 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 1.03/1.46 , X ) ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.03/1.46 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 1.03/1.46 , X ) ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.03/1.46 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 1.03/1.46 , T ) ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.03/1.46 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 1.03/1.46 , T ) ), Z ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ),
% 1.03/1.46 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ),
% 1.03/1.46 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 1.03/1.46 , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 1.03/1.46 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 1.03/1.46 'c_Relation_Ototal__on'( U, T, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.03/1.46 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.03/1.46 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.03/1.46 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.03/1.46 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.03/1.46 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 1.03/1.46 ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.03/1.46 ), 'c_Wellfounded_Omeasure'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 1.03/1.46 ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( X, Y )
% 1.03/1.46 ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ),
% 1.03/1.46 'c_Pair'( Y, Z, T, T ) ), 'c_Wellfounded_Omeasure'( X, T ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'(
% 1.03/1.46 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), X,
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.03/1.46 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.46 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( 'c_COMBC'( 'c_COMBC'(
% 1.03/1.46 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.03/1.46 ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.03/1.46 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.46 , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( 'c_COMBC'( 'c_COMBC'(
% 1.03/1.46 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.03/1.46 ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi' ), X,
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ) ],
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
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% 1.03/1.46 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_fequal'( 'tc_nat' ), 'v_h____',
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% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
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% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBC'(
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
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% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.03/1.46 'c_Arrow__Order__Mirabelle_Omktop', Y ), X ) ) ) ) ],
% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.03/1.46 'c_Arrow__Order__Mirabelle_Omktop', Z ), X ) ) ) ) ],
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% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
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% 1.03/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
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% 1.03/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
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% 1.03/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
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% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
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% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.03/1.46 ) ) ],
% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.03/1.46 ) ) ],
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% 1.03/1.46 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
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% 1.03/1.46 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.03/1.46 'c_Arrow__Order__Mirabelle_Omkbot', Z ), Y ) ) ) ) ],
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% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
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% 1.03/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
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% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.03/1.46 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.46 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.46 , Z ) ) ), =( X, T ), =( Y, T ) ],
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% 1.03/1.46 ],
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% 1.03/1.46 ],
% 1.03/1.46 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
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% 1.03/1.46 ,
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.03/1.46 'c_Arrow__Order__Mirabelle_Omktop', Z ), Y ) ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.46 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
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% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
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% 1.03/1.46 'tc_bool' ) ) ), 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
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% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
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% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
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% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
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% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.03/1.46 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'(
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% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.03/1.46 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omktop', 'v_P____', 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBS'(
% 1.03/1.46 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_fequal'( 'tc_nat' ), 'v_h____',
% 1.03/1.46 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.03/1.46 'c_COMBC'( 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Oabove', 'v_P____',
% 1.03/1.46 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'v_e____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBC'(
% 1.03/1.46 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
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% 1.03/1.46 ) ), =( hAPP( 'v_h____', X ), 'v_n____' ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
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% 1.03/1.46 'tc_bool' ) ) ), 'v_e____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBC'(
% 1.03/1.46 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ), hBOOL( hAPP(
% 1.03/1.46 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_b____', 'v_a____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.46 , 'v_F'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'(
% 1.03/1.46 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'(
% 1.03/1.46 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.03/1.46 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.03/1.46 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.46 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.46 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ],
% 1.03/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.03/1.46 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.03/1.46 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.03/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Lattices_Olattice'( Y ) ) ],
% 1.03/1.46 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.03/1.46 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.03/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.03/1.46 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.03/1.46 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Orderings_Opreorder'( Y ) ) ],
% 1.03/1.46 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Lattices_Olattice'( Y ) ) ],
% 1.03/1.46 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.46 'class_Orderings_Oorder'( Y ) ) ],
% 1.03/1.46 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.03/1.46 Y ) ) ],
% 1.03/1.46 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.03/1.46 Y ) ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.03/1.46 ],
% 1.03/1.46 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.03/1.46 ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.03/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.03/1.46 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.03/1.46 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.03/1.46 , W ) ) ) ],
% 1.03/1.46 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.03/1.46 ,
% 1.03/1.46 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.03/1.46 ,
% 1.03/1.46 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.03/1.46 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.03/1.46 ] .
% 1.03/1.46
% 1.03/1.46
% 1.03/1.46 percentage equality = 0.196088, percentage horn = 0.835883
% 1.03/1.46 This is a problem with some equality
% 1.03/1.46
% 1.03/1.46
% 1.03/1.46
% 1.03/1.46 Options Used:
% 1.03/1.46
% 1.03/1.46 useres = 1
% 1.03/1.46 useparamod = 1
% 1.03/1.46 useeqrefl = 1
% 1.03/1.46 useeqfact = 1
% 1.03/1.46 usefactor = 1
% 1.03/1.46 usesimpsplitting = 0
% 1.03/1.46 usesimpdemod = 5
% 1.03/1.46 usesimpres = 3
% 1.03/1.46
% 1.03/1.46 resimpinuse = 1000
% 1.03/1.46 resimpclauses = 20000
% 1.03/1.46 substype = eqrewr
% 1.03/1.46 backwardsubs = 1
% 1.03/1.46 selectoldest = 5
% 1.03/1.46
% 1.03/1.46 litorderings [0] = split
% 1.03/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.46
% 1.03/1.46 termordering = kbo
% 1.03/1.46
% 1.03/1.46 litapriori = 0
% 1.03/1.46 termapriori = 1
% 1.03/1.46 litaposteriori = 0
% 1.03/1.46 termaposteriori = 0
% 1.03/1.46 demodaposteriori = 0
% 1.03/1.46 ordereqreflfact = 0
% 1.03/1.46
% 1.03/1.46 litselect = negord
% 1.03/1.46
% 1.03/1.46 maxweight = 15
% 1.03/1.46 maxdepth = 30000
% 1.03/1.46 maxlength = 115
% 1.03/1.46 maxnrvars = 195
% 1.03/1.46 excuselevel = 1
% 1.03/1.46 increasemaxweight = 1
% 1.03/1.46
% 1.03/1.46 maxselected = 10000000
% 1.03/1.46 maxnrclauses = 10000000
% 1.03/1.46
% 1.03/1.46 showgenerated = 0
% 1.03/1.46 showkept = 0
% 1.03/1.46 showselected = 0
% 1.03/1.46 showdeleted = 0
% 1.03/1.46 showresimp = 1
% 1.03/1.46 showstatus = 2000
% 1.03/1.46
% 1.03/1.46 prologoutput = 1
% 1.03/1.46 nrgoals = 5000000
% 1.03/1.46 totalproof = 1
% 1.03/1.46
% 1.03/1.46 Symbols occurring in the translation:
% 1.03/1.46
% 1.03/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.46 . [1, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.03/1.46 ! [4, 1] (w:0, o:76, a:1, s:1, b:0),
% 1.03/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.46 'tc_nat' [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.03/1.46 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.03/1.46 'c_lessequals' [42, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.03/1.46 'tc_bool' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.03/1.46 'tc_fun' [45, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.03/1.46 'c_Orderings_Otop__class_Otop' [46, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.03/1.46 hAPP [48, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.03/1.46 hBOOL [49, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.03/1.46 'c_Finite__Set_Ocard' [51, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.03/1.46 'c_Finite__Set_Ofinite' [52, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.03/1.46 'class_Lattices_Oboolean__algebra' [53, 1] (w:1, o:84, a:1, s:1, b:0)
% 1.03/1.46 ,
% 1.03/1.46 'c_HOL_Ouminus__class_Ouminus' [54, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Ogroup__add' [56, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.03/1.46
% 1.03/1.46 'class_Ring__and__Field_Ofield' [60, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Odivision__by__zero' [61, 1] (w:1, o:90, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'c_HOL_Oinverse__class_Odivide' [62, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.03/1.46 'c_Power_Opower__class_Opower' [63, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.03/1.46 'c_HOL_Oplus__class_Oplus' [64, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Oab__group__add' [65, 1] (w:1, o:95, a:1, s:1, b:
% 1.03/1.46 0),
% 1.03/1.46 'c_Orderings_Obot__class_Obot' [67, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.03/1.46 'c_Set_Oinsert' [68, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.03/1.46 'c_in' [71, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Oring__1__no__zero__divisors' [72, 1] (w:1
% 1.03/1.46 , o:98, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Ozero__neq__one' [73, 1] (w:1, o:99, a:1, s:1
% 1.03/1.46 , b:0),
% 1.03/1.46 'class_Ring__and__Field_Ono__zero__divisors' [74, 1] (w:1, o:101, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Omult__zero' [75, 1] (w:1, o:100, a:1, s:1
% 1.03/1.46 , b:0),
% 1.03/1.46 'class_Power_Opower' [76, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.03/1.46 'c_Lattices_Olower__semilattice__class_Oinf' [78, 3] (w:1, o:193, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'c_HOL_Oone__class_Oone' [79, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Ocomm__semiring__1' [80, 1] (w:1, o:89, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'c_Finite__Set_Ofold__image' [84, 6] (w:1, o:228, a:1, s:1, b:0),
% 1.03/1.46 'c_Relation_Ototal__on' [86, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.03/1.46 'c_Set_Ovimage' [87, 4] (w:1, o:205, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Osemiring__0' [88, 1] (w:1, o:124, a:1, s:1
% 1.03/1.46 , b:0),
% 1.03/1.46 'class_Lattices_Olattice' [89, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.03/1.46 'class_Lattices_Olower__semilattice' [90, 1] (w:1, o:126, a:1, s:1
% 1.03/1.46 , b:0),
% 1.03/1.46 'class_Orderings_Otop' [91, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Oordered__ab__group__add' [92, 1] (w:1, o:103, a:
% 1.03/1.46 1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Osemiring__1' [93, 1] (w:1, o:127, a:1, s:1
% 1.03/1.46 , b:0),
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat__aux' [96, 4] (w:1, o:206, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'class_Finite__Set_Ofinite_Ofinite' [97, 1] (w:1, o:128, a:1, s:1, b:
% 1.03/1.46 0),
% 1.03/1.46 'class_Ring__and__Field_Oordered__semidom' [98, 1] (w:1, o:129, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'c_HOL_Oord__class_Oless' [99, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.03/1.46 'c_Relation_OImage' [100, 4] (w:1, o:203, a:1, s:1, b:0),
% 1.03/1.46 'c_Equiv__Relations_Oequiv' [101, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.03/1.46 'tc_prod' [102, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.03/1.46 'c_Pair' [103, 4] (w:1, o:207, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Oring__1' [104, 1] (w:1, o:123, a:1, s:1, b:0
% 1.03/1.46 ),
% 1.03/1.46 'c_Int_Oring__1__class_OInts' [105, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Oordered__field' [106, 1] (w:1, o:132, a:1
% 1.03/1.46 , s:1, b:0),
% 1.03/1.46 'class_Lattices_Obounded__lattice' [107, 1] (w:1, o:133, a:1, s:1, b:
% 1.03/1.46 0),
% 1.03/1.46 'class_OrderedGroup_Omonoid__mult' [108, 1] (w:1, o:106, a:1, s:1, b:
% 1.03/1.46 0),
% 1.03/1.46 'c_Relation_ODomain' [110, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.03/1.46 'class_Orderings_Obot' [113, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Opordered__ab__group__add' [114, 1] (w:1, o:108
% 1.03/1.46 , a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Olordered__ab__group__add' [115, 1] (w:1, o:104
% 1.03/1.46 , a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Olordered__ab__group__add__meet' [116, 1] (w:1
% 1.03/1.46 , o:105, a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Ocomm__monoid__add' [118, 1] (w:1, o:109, a:1, s:
% 1.03/1.46 1, b:0),
% 1.03/1.46 'class_Ring__and__Field_Oordered__idom' [119, 1] (w:1, o:134, a:1, s:
% 1.03/1.46 1, b:0),
% 1.03/1.46 'c_Finite__Set_Osetsum' [120, 4] (w:1, o:209, a:1, s:1, b:0),
% 1.03/1.46 'c_COMBB' [121, 5] (w:1, o:220, a:1, s:1, b:0),
% 1.03/1.46 'c_Nat_Osemiring__1__class_Oof__nat' [122, 2] (w:1, o:172, a:1, s:1
% 1.03/1.46 , b:0),
% 1.03/1.46 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [124, 3]
% 1.03/1.46 (w:1, o:195, a:1, s:1, b:0),
% 1.03/1.46 'c_Wellfounded_Owf' [125, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.03/1.46 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [126, 3] (w:1, o:
% 1.03/1.46 196, a:1, s:1, b:0),
% 1.03/1.46 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [127, 5] (w:1, o:221
% 1.03/1.46 , a:1, s:1, b:0),
% 1.03/1.46 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [128, 5] (w:1, o:
% 1.03/1.46 222, a:1, s:1, b:0),
% 1.03/1.46 'class_OrderedGroup_Ocomm__monoid__mult' [129, 1] (w:1, o:110, a:1
% 3.39/3.82 , s:1, b:0),
% 3.39/3.82 'c_Finite__Set_Osetprod' [130, 4] (w:1, o:210, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [132, 3] (w:1
% 3.39/3.82 , o:197, a:1, s:1, b:0),
% 3.39/3.82 'c_Wellfounded_Oacc' [133, 2] (w:1, o:174, a:1, s:1, b:0),
% 3.39/3.82 'v_sko__Wellfounded__Xacc__Xinducts__1' [134, 2] (w:1, o:175, a:1, s:
% 3.39/3.82 1, b:0),
% 3.39/3.82 't_a' [135, 0] (w:1, o:42, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [136, 3]
% 3.39/3.82 (w:1, o:198, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [137, 3] (w:
% 3.39/3.82 1, o:199, a:1, s:1, b:0),
% 3.39/3.82 'v_sko__Wellfounded__Xacc__Xinduct__1' [138, 2] (w:1, o:176, a:1, s:1
% 3.39/3.82 , b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [139, 3] (w:1
% 3.39/3.82 , o:200, a:1, s:1, b:0),
% 3.39/3.82 'c_Transitive__Closure_Ortrancl' [140, 2] (w:1, o:177, a:1, s:1, b:0)
% 3.39/3.82 ,
% 3.39/3.82 'c_Relation_Orefl__on' [141, 3] (w:1, o:190, a:1, s:1, b:0),
% 3.39/3.82 'c_Relation_ORange' [142, 3] (w:1, o:191, a:1, s:1, b:0),
% 3.39/3.82 'c_Relation_OId' [143, 1] (w:1, o:135, a:1, s:1, b:0),
% 3.39/3.82 'c_Relation_OId__on' [144, 2] (w:1, o:178, a:1, s:1, b:0),
% 3.39/3.82 'class_Int_Oring__char__0' [148, 1] (w:1, o:136, a:1, s:1, b:0),
% 3.39/3.82 'c_COMBC' [150, 5] (w:1, o:223, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1' [151, 4
% 3.39/3.82 ] (w:1, o:211, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [152, 4]
% 3.39/3.82 (w:1, o:212, a:1, s:1, b:0),
% 3.39/3.82 'c_Transitive__Closure_Otrancl' [153, 2] (w:1, o:179, a:1, s:1, b:0)
% 3.39/3.82 ,
% 3.39/3.82 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [154, 4]
% 3.39/3.82 (w:1, o:213, a:1, s:1, b:0),
% 3.39/3.82 'c_Relation_Orel__comp' [155, 5] (w:1, o:224, a:1, s:1, b:0),
% 3.39/3.82 'c_Relation_Oantisym' [156, 2] (w:1, o:180, a:1, s:1, b:0),
% 3.39/3.82 'class_OrderedGroup_Ocancel__semigroup__add' [157, 1] (w:1, o:111, a:
% 3.39/3.82 1, s:1, b:0),
% 3.39/3.82 'class_OrderedGroup_Ocancel__ab__semigroup__add' [158, 1] (w:1, o:112
% 3.39/3.82 , a:1, s:1, b:0),
% 3.39/3.82 'class_Ring__and__Field_Oidom' [159, 1] (w:1, o:137, a:1, s:1, b:0),
% 3.39/3.82
% 3.39/3.82 'class_Int_Onumber__ring' [160, 1] (w:1, o:138, a:1, s:1, b:0),
% 3.39/3.82 'class_OrderedGroup_Opordered__comm__monoid__add' [162, 1] (w:1, o:
% 3.39/3.82 113, a:1, s:1, b:0),
% 3.39/3.82 'c_Relation_Osym' [163, 2] (w:1, o:181, a:1, s:1, b:0),
% 3.39/3.82 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [164, 1]
% 3.39/3.82 (w:1, o:114, a:1, s:1, b:0),
% 3.39/3.82 'c_HOL_OIf' [167, 1] (w:1, o:130, a:1, s:1, b:0),
% 3.39/3.82 'c_COMBS' [168, 5] (w:1, o:225, a:1, s:1, b:0),
% 3.39/3.82 'tc_Arrow__Order__Mirabelle_Oalt' [169, 0] (w:1, o:49, a:1, s:1, b:0)
% 3.39/3.82 ,
% 3.39/3.82 'v_F' [173, 1] (w:1, o:139, a:1, s:1, b:0),
% 3.39/3.82 'v_sko__local__X1__1' [174, 6] (w:1, o:229, a:1, s:1, b:0),
% 3.39/3.82 'tc_Arrow__Order__Mirabelle_Oindi' [175, 0] (w:1, o:50, a:1, s:1, b:0
% 3.39/3.82 ),
% 3.39/3.82 'c_Arrow__Order__Mirabelle_OProf' [176, 0] (w:1, o:51, a:1, s:1, b:0)
% 3.39/3.82 ,
% 3.39/3.82 'v_sko__local__X2__1' [177, 6] (w:1, o:230, a:1, s:1, b:0),
% 3.39/3.82 'v_sko__local__Xpairwise__neutrality__1' [178, 6] (w:1, o:231, a:1
% 3.39/3.82 , s:1, b:0),
% 3.39/3.82 'v_sko__local__X3__1' [179, 4] (w:1, o:214, a:1, s:1, b:0),
% 3.39/3.82 'v_sko__local__X4__1' [180, 5] (w:1, o:226, a:1, s:1, b:0),
% 3.39/3.82 'c_fequal' [182, 1] (w:1, o:140, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [184, 4] (w:1, o:
% 3.39/3.82 215, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [185, 4] (w:1, o:216
% 3.39/3.82 , a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [187, 4] (w:1, o:
% 3.39/3.82 217, a:1, s:1, b:0),
% 3.39/3.82 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [188, 4] (w:1, o:218
% 3.39/3.82 , a:1, s:1, b:0),
% 3.39/3.82 'class_OrderedGroup_Omonoid__add' [189, 1] (w:1, o:115, a:1, s:1, b:0
% 3.39/3.82 ),
% 3.39/3.82 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [190, 1]
% 3.39/3.82 (w:1, o:116, a:1, s:1, b:0),
% 3.39/3.82 'class_Orderings_Olinorder' [191, 1] (w:1, o:117, a:1, s:1, b:0),
% 3.39/3.82 'class_Orderings_Oorder' [192, 1] (w:1, o:118, a:1, s:1, b:0),
% 3.39/3.82 'class_Orderings_Opreorder' [193, 1] (w:1, o:119, a:1, s:1, b:0),
% 3.39/3.82 'c_Wellfounded_Omlex__prod' [194, 3] (w:1, o:201, a:1, s:1, b:0),
% 16.27/16.62 'c_Recdef_Ocut' [197, 5] (w:1, o:227, a:1, s:1, b:0),
% 16.27/16.62 'class_OrderedGroup_Oab__semigroup__add' [198, 1] (w:1, o:120, a:1
% 16.27/16.62 , s:1, b:0),
% 16.27/16.62 'class_OrderedGroup_Opordered__ab__semigroup__add' [199, 1] (w:1, o:
% 16.27/16.62 121, a:1, s:1, b:0),
% 16.27/16.62 'c_Relation_Oinv__image' [200, 4] (w:1, o:204, a:1, s:1, b:0),
% 16.27/16.62 'class_Nat_Osemiring__char__0' [204, 1] (w:1, o:86, a:1, s:1, b:0),
% 16.27/16.62 'c_Wellfounded_Omeasure' [205, 2] (w:1, o:182, a:1, s:1, b:0),
% 16.27/16.62 'c_Equiv__Relations_Ocongruent' [206, 4] (w:1, o:208, a:1, s:1, b:0)
% 16.27/16.62 ,
% 16.27/16.62 'c_Nitpick_Orefl_H' [207, 2] (w:1, o:183, a:1, s:1, b:0),
% 16.27/16.62 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [209, 2] (w:1, o:
% 16.27/16.62 184, a:1, s:1, b:0),
% 16.27/16.62 'c_Product__Type_OSigma' [210, 4] (w:1, o:219, a:1, s:1, b:0),
% 16.27/16.62 'v_h____' [211, 0] (w:1, o:58, a:1, s:1, b:0),
% 16.27/16.62 'v_Lab____' [212, 0] (w:1, o:59, a:1, s:1, b:0),
% 16.27/16.62 'v_Lba____' [213, 0] (w:1, o:60, a:1, s:1, b:0),
% 16.27/16.62 'v_a____' [214, 0] (w:1, o:61, a:1, s:1, b:0),
% 16.27/16.62 'v_b____' [215, 0] (w:1, o:62, a:1, s:1, b:0),
% 16.27/16.62 'v_n____' [216, 0] (w:1, o:63, a:1, s:1, b:0),
% 16.27/16.62 'c_Arrow__Order__Mirabelle_Omktop' [217, 0] (w:1, o:64, a:1, s:1, b:0
% 16.27/16.62 ),
% 16.27/16.62 'v_c____' [219, 0] (w:1, o:66, a:1, s:1, b:0),
% 16.27/16.62 'v_d____' [220, 0] (w:1, o:67, a:1, s:1, b:0),
% 16.27/16.62 'v_P____' [221, 0] (w:1, o:68, a:1, s:1, b:0),
% 16.27/16.62 'v_e____' [222, 0] (w:1, o:69, a:1, s:1, b:0),
% 16.27/16.62 'c_Arrow__Order__Mirabelle_Oabove' [223, 0] (w:1, o:70, a:1, s:1, b:0
% 16.27/16.62 ),
% 16.27/16.62 'c_Arrow__Order__Mirabelle_Omkbot' [224, 0] (w:1, o:71, a:1, s:1, b:0
% 16.27/16.62 ),
% 16.27/16.62 'c_List_Olist_ONil' [225, 1] (w:1, o:141, a:1, s:1, b:0),
% 16.27/16.62 'c_List_Olist_OCons' [226, 3] (w:1, o:202, a:1, s:1, b:0),
% 16.27/16.62 'c_List_Odistinct' [227, 2] (w:1, o:185, a:1, s:1, b:0).
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Starting Search:
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 11955
% 16.27/16.62 Kept: 2036
% 16.27/16.62 Inuse: 56
% 16.27/16.62 Deleted: 0
% 16.27/16.62 Deletedinuse: 0
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 21085
% 16.27/16.62 Kept: 4060
% 16.27/16.62 Inuse: 135
% 16.27/16.62 Deleted: 2
% 16.27/16.62 Deletedinuse: 0
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 31683
% 16.27/16.62 Kept: 6145
% 16.27/16.62 Inuse: 243
% 16.27/16.62 Deleted: 8
% 16.27/16.62 Deletedinuse: 0
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 40512
% 16.27/16.62 Kept: 8210
% 16.27/16.62 Inuse: 317
% 16.27/16.62 Deleted: 9
% 16.27/16.62 Deletedinuse: 0
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 50614
% 16.27/16.62 Kept: 10260
% 16.27/16.62 Inuse: 352
% 16.27/16.62 Deleted: 9
% 16.27/16.62 Deletedinuse: 0
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 63286
% 16.27/16.62 Kept: 12697
% 16.27/16.62 Inuse: 403
% 16.27/16.62 Deleted: 13
% 16.27/16.62 Deletedinuse: 0
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 72787
% 16.27/16.62 Kept: 14757
% 16.27/16.62 Inuse: 416
% 16.27/16.62 Deleted: 46
% 16.27/16.62 Deletedinuse: 1
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 82717
% 16.27/16.62 Kept: 17692
% 16.27/16.62 Inuse: 435
% 16.27/16.62 Deleted: 103
% 16.27/16.62 Deletedinuse: 2
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 92903
% 16.27/16.62 Kept: 19694
% 16.27/16.62 Inuse: 478
% 16.27/16.62 Deleted: 145
% 16.27/16.62 Deletedinuse: 2
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying clauses:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 102058
% 16.27/16.62 Kept: 21729
% 16.27/16.62 Inuse: 496
% 16.27/16.62 Deleted: 389
% 16.27/16.62 Deletedinuse: 3
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 110216
% 16.27/16.62 Kept: 23993
% 16.27/16.62 Inuse: 516
% 16.27/16.62 Deleted: 389
% 16.27/16.62 Deletedinuse: 3
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 117232
% 16.27/16.62 Kept: 26050
% 16.27/16.62 Inuse: 539
% 16.27/16.62 Deleted: 389
% 16.27/16.62 Deletedinuse: 3
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 130022
% 16.27/16.62 Kept: 28521
% 16.27/16.62 Inuse: 551
% 16.27/16.62 Deleted: 389
% 16.27/16.62 Deletedinuse: 3
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62 Resimplifying inuse:
% 16.27/16.62 Done
% 16.27/16.62
% 16.27/16.62
% 16.27/16.62 Intermediate Status:
% 16.27/16.62 Generated: 139242
% 16.27/16.62 Kept: 30635
% 43.35/43.75 Inuse: 576
% 43.35/43.75 Deleted: 390
% 43.35/43.75 Deletedinuse: 4
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 147121
% 43.35/43.75 Kept: 32786
% 43.35/43.75 Inuse: 601
% 43.35/43.75 Deleted: 420
% 43.35/43.75 Deletedinuse: 4
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 158405
% 43.35/43.75 Kept: 34791
% 43.35/43.75 Inuse: 630
% 43.35/43.75 Deleted: 423
% 43.35/43.75 Deletedinuse: 4
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 173765
% 43.35/43.75 Kept: 37100
% 43.35/43.75 Inuse: 666
% 43.35/43.75 Deleted: 425
% 43.35/43.75 Deletedinuse: 4
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 183147
% 43.35/43.75 Kept: 39293
% 43.35/43.75 Inuse: 677
% 43.35/43.75 Deleted: 442
% 43.35/43.75 Deletedinuse: 7
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying clauses:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 191510
% 43.35/43.75 Kept: 41713
% 43.35/43.75 Inuse: 688
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 200156
% 43.35/43.75 Kept: 43972
% 43.35/43.75 Inuse: 713
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 211543
% 43.35/43.75 Kept: 46103
% 43.35/43.75 Inuse: 738
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 221763
% 43.35/43.75 Kept: 48111
% 43.35/43.75 Inuse: 764
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 230264
% 43.35/43.75 Kept: 50180
% 43.35/43.75 Inuse: 778
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 244602
% 43.35/43.75 Kept: 53036
% 43.35/43.75 Inuse: 798
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 255344
% 43.35/43.75 Kept: 55153
% 43.35/43.75 Inuse: 813
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 275457
% 43.35/43.75 Kept: 58320
% 43.35/43.75 Inuse: 818
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 290978
% 43.35/43.75 Kept: 60371
% 43.35/43.75 Inuse: 834
% 43.35/43.75 Deleted: 667
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying clauses:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 299809
% 43.35/43.75 Kept: 62425
% 43.35/43.75 Inuse: 858
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 309275
% 43.35/43.75 Kept: 64620
% 43.35/43.75 Inuse: 879
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 316088
% 43.35/43.75 Kept: 66867
% 43.35/43.75 Inuse: 898
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 321835
% 43.35/43.75 Kept: 69038
% 43.35/43.75 Inuse: 908
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 329473
% 43.35/43.75 Kept: 71220
% 43.35/43.75 Inuse: 928
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 340876
% 43.35/43.75 Kept: 73279
% 43.35/43.75 Inuse: 972
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 348737
% 43.35/43.75 Kept: 75301
% 43.35/43.75 Inuse: 980
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 356990
% 43.35/43.75 Kept: 77324
% 43.35/43.75 Inuse: 1000
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 364650
% 43.35/43.75 Kept: 79454
% 43.35/43.75 Inuse: 1020
% 43.35/43.75 Deleted: 767
% 43.35/43.75 Deletedinuse: 8
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying clauses:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 371980
% 43.35/43.75 Kept: 81692
% 43.35/43.75 Inuse: 1038
% 43.35/43.75 Deleted: 972
% 43.35/43.75 Deletedinuse: 10
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate Status:
% 43.35/43.75 Generated: 387496
% 43.35/43.75 Kept: 85098
% 43.35/43.75 Inuse: 1048
% 43.35/43.75 Deleted: 972
% 43.35/43.75 Deletedinuse: 10
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75 Resimplifying inuse:
% 43.35/43.75 Done
% 43.35/43.75
% 43.35/43.75
% 43.35/43.75 Intermediate StatuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------