TSTP Solution File: SCT079-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT079-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 21:01:03 EDT 2022
% Result : Timeout 300.06s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT079-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 07:46:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.04/1.40 *** allocated 10000 integers for termspace/termends
% 1.04/1.40 *** allocated 10000 integers for clauses
% 1.04/1.40 *** allocated 10000 integers for justifications
% 1.04/1.40 *** allocated 15000 integers for termspace/termends
% 1.04/1.40 *** allocated 22500 integers for termspace/termends
% 1.04/1.40 Bliksem 1.12
% 1.04/1.40
% 1.04/1.40
% 1.04/1.40 Automatic Strategy Selection
% 1.04/1.40
% 1.04/1.40 Clauses:
% 1.04/1.40 [
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.40 , 'tc_bool' ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), 'c_Suc'( X ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.04/1.40 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.04/1.40 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.04/1.40 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.04/1.40 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 X ), Y ), Z ) ), Z ), Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.04/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.04/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.40 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.04/1.40 T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.04/1.40 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 'c_Suc'( Z ), X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.04/1.40 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.04/1.40 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.04/1.40 , Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.04/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.04/1.40 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.04/1.40 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.04/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.04/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.04/1.40 , W ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Opreorder'( T, X,
% 1.04/1.40 U ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Opreorder'( Z,
% 1.04/1.40 X, T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.04/1.40 ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ), =( X, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 1.04/1.40 X, T ) ) ],
% 1.04/1.40 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 1.04/1.40 , T ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.40 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X
% 1.04/1.40 , X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X ), U, Y, X
% 1.04/1.40 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.04/1.40 Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y, X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.40 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.40 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X
% 1.04/1.40 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.04/1.40 Z, Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 Z, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.04/1.40 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.04/1.40 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.04/1.40 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.04/1.40 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.04/1.40 X, Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 X, Z ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.04/1.40 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( Y ) ), X ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Oord__class_Oless'( X ), X ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) )
% 1.04/1.40 , 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.40 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.04/1.40 , V2, Z, Y ) ) ],
% 1.04/1.40 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.40 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.04/1.40 , Z, V2, Y ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.04/1.40 Z, Y ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.04/1.40 Y, X ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X
% 1.04/1.40 , X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X, X ), U, Y
% 1.04/1.40 , X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.04/1.40 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 1.04/1.40 , X ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.04/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.04/1.40 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.40 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.40 Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ),
% 1.04/1.40 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 'tc_nat' ), X ), Z ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 1.04/1.40 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 1.04/1.40 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.40 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 1.04/1.40 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X
% 1.04/1.40 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.40 'tc_bool' ) ), X ) ],
% 1.04/1.40 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.04/1.40 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.04/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.04/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.04/1.40 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1'( X, Z, T ) )
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.40 ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, T, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.04/1.40 Z, X ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.04/1.40 X ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Complete__Lattice_OInf__class_OInf'( X,
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.04/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.40 'tc_bool' ) ), X ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), 'c_Suc'( Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.04/1.40 , X ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.04/1.40 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.04/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 'c_Suc'(
% 1.04/1.40 Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.40 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.04/1.40 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.04/1.40 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.04/1.40 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.04/1.40 ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.04/1.40 T, Z, X ) ) ), =( Y, T ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.04/1.40 X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.04/1.40 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.40 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.40 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.04/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.40 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.04/1.40 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.40 Y, X ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, X, W, Y, V0, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, X, W, V0, Y, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, W, X, Y, V0, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, W, X, V0, Y, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, X, W, Z, V0, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, X, W, V0, Z, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, W, X, Z, V0, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.40 , U, W, X, V0, Z, V1 ) ) ],
% 1.04/1.40 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.04/1.40 V0 ), V1 ) ), =( W, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.04/1.40 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.04/1.40 V0 ), V1 ) ), =( V0, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.04/1.40 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.04/1.40 , V0, V1 ) ), =( U, hAPP( hAPP( T, U ), W ) ) ],
% 1.04/1.40 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.04/1.40 , V0, V1 ) ), =( W, hAPP( hAPP( T, U ), W ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ),
% 1.04/1.40 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ) ) ), =( X, Y
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.04/1.40 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.40 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 1.04/1.40 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) )
% 1.04/1.40 ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.04/1.40 ) ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( hAPP( hAPP( 'c_COMBB'( X, X, Y ),
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ) ), Z ), T, Y, X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Finite__Set_Osetsum'( Z, T, Y, X
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.04/1.40 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), Z ), Y ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ =( 'c_Fun_Ooverride__on'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ],
% 1.04/1.40 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.04/1.40 Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ), Y ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ), Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ), Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( X, T ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 1.04/1.40 [ =( X, Y ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), =( X, T ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( U, T ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Z, T, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ), =( X, T ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Z, T, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( T, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, U,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.04/1.40 [ =( X, Y ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.40 ) ), Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.40 'c_Set_OPow'( Y, X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.04/1.40 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Otop__class_Otop'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), X ), Y ) ],
% 1.04/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.04/1.40 ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.04/1.40 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1'( X, Z, T ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.40 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 Z ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 1.04/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.04/1.40 Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.04/1.40 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'c_Orderings_Opreorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.04/1.40 ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.04/1.40 ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 1.04/1.40 , X, W ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Opreorder'( X, Z, T
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( X
% 1.04/1.40 , U, W ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( U, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 1.04/1.40 , X, W ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 'c_Orderings_Opreorder'( T
% 1.04/1.40 , X, W ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.04/1.40 ) ) ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), 'c_Suc'( Y ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.40 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.04/1.40 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.04/1.40 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.04/1.40 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.40 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.04/1.40 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.40 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.04/1.40 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.40 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 1.04/1.40 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 1.04/1.40 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( T, U, X, W, V0 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.04/1.40 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, X, V0, V1 )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.04/1.40 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, X, V0, V1 )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 1.04/1.40 Z ) ), ~( 'c_Lattices_Olattice'( T, U, X, W, V0 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( T, U, W, X, V0 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.04/1.40 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, V0, X, V1 )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.04/1.40 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, V0, X, V1 )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 1.04/1.40 Z ) ), ~( 'c_Lattices_Olattice'( T, U, W, X, V0 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), Y ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( U, W, X, Z, V0 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), Y ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( U, W, Z, X, V0 ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.40 ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.40 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.04/1.40 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Complete__Lattice_OInf__class_OInf'( Y, X )
% 1.04/1.40 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 'c_Suc'( T ), X ) ), 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X )
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.04/1.40 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.04/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X )
% 1.04/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.04/1.40 Y, X ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.04/1.40 Z, X ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.04/1.40 Y, X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.04/1.40 Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.04/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( T, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), =( X, U ), =(
% 1.04/1.40 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( T, Y ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 1.04/1.40 [ =( X, Y ), =( Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), =( Y, T ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ), =( X, T ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, U ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.04/1.40 [ =( X, Y ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, X, Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.04/1.40 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.04/1.40 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ), =(
% 1.04/1.40 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( Y, W ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( X, W ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.04/1.40 'tc_bool' ) ), Z ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.04/1.40 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.04/1.40 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.04/1.40 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.04/1.40 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.04/1.40 ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Z ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Z ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.04/1.40 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 1.04/1.40 , T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.04/1.40 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'(
% 1.04/1.40 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( 'c_COMBC'(
% 1.04/1.40 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'(
% 1.04/1.40 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X )
% 1.04/1.40 , Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z
% 1.04/1.40 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.40 , X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), T ), Z ) ) ), ~( hBOOL( hAPP( X, T ) ) ), hBOOL( hAPP( X,
% 1.04/1.40 'c_List_Osko__Divides__Xmod__induct__1__1'( X, Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.04/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.04/1.40 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.04/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Z ) ), Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), X )
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.04/1.40 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.40 ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.04/1.40 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.04/1.40 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 1.04/1.40 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.04/1.40 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.40 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.04/1.40 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.40 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.04/1.40 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.40 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.04/1.40 , Z, V2, Y ) ) ],
% 1.04/1.40 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.40 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.04/1.40 , V2, Z, Y ) ) ],
% 1.04/1.40 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.04/1.40 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.04/1.40 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.04/1.40 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.04/1.40 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.04/1.40 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.04/1.40 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.04/1.40 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.04/1.40 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.04/1.40 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.04/1.40 V0, V1, Z, Y, V2 ) ) ],
% 1.04/1.40 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.04/1.40 V0, V1, Y, Z, V2 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.04/1.40 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.04/1.40 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.04/1.40 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.04/1.40 V2, V3, V4 ) ) ],
% 1.04/1.40 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.04/1.40 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.04/1.40 V2, V3, V4 ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 X ), Y ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.40 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1'( X, Z, T ) ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.04/1.40 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.40 , X ), 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat'
% 1.04/1.40 ), Y ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_OPow'( X, Y ),
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.04/1.40 X, T, U ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.04/1.40 hAPP( X, U ) ) ) ) ],
% 1.04/1.40 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.04/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 1.04/1.40 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.04/1.40 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 1.04/1.40 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 1.04/1.40 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( X, U, Y, W, V0 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( X, U, Y, W, V0 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( X, U, W, Z, V0 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~(
% 1.04/1.40 'c_Lattices_Olattice'( X, U, W, Z, V0 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), hAPP(
% 1.04/1.40 hAPP( Z, T ), W ) ) ), hAPP( hAPP( Z, T ), hAPP( hAPP( Y, U ), W ) ) ) )
% 1.04/1.40 , ~( 'c_Lattices_Olattice'( X, V0, Z, Y, V1 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), hAPP( hAPP( T, U ), W ) ) )
% 1.04/1.40 , hAPP( hAPP( T, hAPP( hAPP( Y, Z ), U ) ), hAPP( hAPP( Y, Z ), W ) ) ) )
% 1.04/1.40 , ~( 'c_Lattices_Olattice'( X, V0, T, Y, V1 ) ) ],
% 1.04/1.40 [ =( 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.04/1.40 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.04/1.40 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), X ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), U ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ), X ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( Y ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.04/1.40 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z
% 1.04/1.40 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.04/1.40 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.04/1.40 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 Z ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), T ), Z ) ) ), ~( hBOOL( hAPP( X, T ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_List_Osko__Divides__Xmod__induct__1__1'( X, Z ) ), Z ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.40 , X ), 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), X ), Y ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.40 , Y ), 'c_Suc'( X ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.04/1.40 ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( X,
% 1.04/1.40 'c_List_Osko__List__Xall__nat__less__eq__1__2'( X, Z ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ),
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1'( X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Z ) ), hAPP( T,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1'( X, T, U ) ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ),
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1'( X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), Y ) ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Z ) ), hAPP( T,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1'( X, T, U ) )
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y )
% 1.04/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ),
% 1.04/1.40 'c_Suc'( X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, 'c_List_Osko__List__Xex__nat__less__eq__1__1'( X, Y )
% 1.04/1.40 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Z ) ), hAPP( T,
% 1.04/1.40 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1'( X, T, U ) ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.40 ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ 'c_Orderings_Opreorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 1.04/1.40 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Opreorder'( X, Z, Y ) ) ],
% 1.04/1.40 [ 'c_Lattices_Olattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z,
% 1.04/1.40 Y, Y, 'tc_bool' ), T, U, Y ), ~( 'c_Lattices_Olattice'( X, Z, U, T, Y ) )
% 1.04/1.40 ],
% 1.04/1.40 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.04/1.40 'tc_bool' ), Y ), X ), Y ) ],
% 1.04/1.40 [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 1.04/1.40 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 1.04/1.40 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.04/1.40 X ), Y ) ],
% 1.04/1.40 [ 'c_Lattices_Odistrib__lattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ),
% 1.04/1.40 'c_COMBC'( Z, Y, Y, 'tc_bool' ), T, U, Y ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( X, Z, U, T, Y ) ) ],
% 1.04/1.40 [ 'c_Lattices_Obounded__lattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ),
% 1.04/1.40 'c_COMBC'( Z, Y, Y, 'tc_bool' ), T, U, W, V0, Y ), ~(
% 1.04/1.40 'c_Lattices_Obounded__lattice'( X, Z, U, T, V0, W, Y ) ) ],
% 1.04/1.40 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.04/1.40 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.04/1.40 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.04/1.40 ) ],
% 1.04/1.40 [ 'c_Orderings_Oorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z, Y
% 1.04/1.40 , Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Oorder'( X, Z, Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.04/1.40 'c_Set_OPow'( Y, X ) ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, 't_a', T ), 'v_a' ), hAPP(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_OIf'( T ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_a' ), Z ) )
% 1.04/1.40 , hAPP( Y, 'v_a' ) ), hAPP( X, 'v_a' ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y,
% 1.04/1.40 X, 'tc_fun'( X, X ) ), Y, X, X ), U ), W, Y, X ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( U, 'c_Finite__Set_Ocard'( W, Y ), X ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), W ) ), ~( 'c_Finite__Set_Ofinite'( W
% 1.04/1.40 , Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X
% 1.04/1.40 ), 'c_HOL_Oone__class_Oone'( X ) ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X
% 1.04/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y, X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U
% 1.04/1.40 ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X
% 1.04/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y, X ), hAPP( T, Z ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.40 U, Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X
% 1.04/1.40 ), 'c_HOL_Oone__class_Oone'( X ) ), U, Y, X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.40 X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.40 [ =( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_n' ), hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), 'c_Suc'( 'v_n' ) ) ) ],
% 1.04/1.40 [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ],
% 1.04/1.40 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.40 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y,
% 1.04/1.40 X, 'tc_fun'( X, X ) ), Y, X, X ), 'c_HOL_Oone__class_Oone'( X ) ), U, Y,
% 1.04/1.40 X ), 'c_HOL_Oone__class_Oone'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z )
% 1.04/1.40 , U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y,
% 1.04/1.40 X, 'tc_fun'( X, X ) ), Y, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y
% 1.04/1.40 , X ), hAPP( T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ),
% 1.04/1.40 ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y,
% 1.04/1.40 X, 'tc_fun'( X, X ) ), Y, X, X ), 'c_HOL_Oone__class_Oone'( X ) ), U, Y,
% 1.04/1.40 X ), hAPP( T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y,
% 1.04/1.40 X, 'tc_fun'( X, X ) ), Y, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y
% 1.04/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y )
% 1.04/1.40 , Z ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.40 [ 'c_Lattices_Oboolean__algebra'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.40 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ),
% 1.04/1.40 'c_COMBB'( X, X, X ) ), Y ), X, 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), Z )
% 1.04/1.40 , Z, 'c_COMBC'( T, X, X, 'tc_bool' ), 'c_COMBC'( U, X, X, 'tc_bool' ), Y
% 1.04/1.40 , W, V0, V1, X ), ~( 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y,
% 1.04/1.40 V1, V0, X ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.04/1.40 'tc_bool' ), Z ) ), Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y,
% 1.04/1.40 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z
% 1.04/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( X ), T ), W ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.04/1.40 'tc_bool' ), Z ) ), Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y,
% 1.04/1.40 X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( X ), T ), W ) ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.04/1.40 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.40 X ) ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.04/1.40 'tc_bool' ), Z ) ), Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y,
% 1.04/1.40 X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_in'( X ), U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T )
% 1.04/1.40 , W ) ) ],
% 1.04/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.40 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.40 X ), Y ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.40 X ), Z ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.40 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( T, 'tc_fun'( X
% 1.04/1.41 , 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.41 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y
% 1.04/1.41 ) ), 'c_Arrow__Order__Mirabelle_OLin' ) ), =( X, Y ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.04/1.41 'c_Relation_Oconverse'( X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_OLin' )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'c_Relation_Oconverse'( X,
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.04/1.41 'c_COMBB'( 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), 'c_HOL_OIf'(
% 1.04/1.41 X ) ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.04/1.41 'tc_bool' ), Z ) ), Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y,
% 1.04/1.41 X ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( X ), T ), W ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.41 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.04/1.41 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ) ), 'v_h____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.04/1.41 Y, X ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.04/1.41 Y, X ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.04/1.41 hAPP( U, W ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.41 U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.41 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.04/1.41 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ) ), 'v_h____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_F' ),
% 1.04/1.41 'c_FuncSet_OPi'( 'c_Arrow__Order__Mirabelle_OProf', 'c_COMBK'(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.04/1.41 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.04/1.41 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ) ), 'v_h____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'v_n' ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.04/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.41 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.04/1.41 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.04/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.41 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Orderings_Opreorder'( Y ) ) ],
% 1.04/1.41 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Orderings_Oorder'( Y ) ) ],
% 1.04/1.41 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.04/1.41 Y ) ) ],
% 1.04/1.41 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.04/1.41 Y ) ) ],
% 1.04/1.41 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.04/1.41 ],
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.04/1.41 ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.41 U ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.04/1.41 hAPP( U, W ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.04/1.41 ] .
% 1.04/1.41
% 1.04/1.41
% 1.04/1.41 percentage equality = 0.254662, percentage horn = 0.855007
% 1.04/1.41 This is a problem with some equality
% 1.04/1.41
% 1.04/1.41
% 1.04/1.41
% 1.04/1.41 Options Used:
% 1.04/1.41
% 1.04/1.41 useres = 1
% 1.04/1.41 useparamod = 1
% 1.04/1.41 useeqrefl = 1
% 1.04/1.41 useeqfact = 1
% 1.04/1.41 usefactor = 1
% 1.04/1.41 usesimpsplitting = 0
% 1.04/1.41 usesimpdemod = 5
% 1.04/1.41 usesimpres = 3
% 1.04/1.41
% 1.04/1.41 resimpinuse = 1000
% 1.04/1.41 resimpclauses = 20000
% 1.04/1.41 substype = eqrewr
% 1.04/1.41 backwardsubs = 1
% 1.04/1.41 selectoldest = 5
% 1.04/1.41
% 1.04/1.41 litorderings [0] = split
% 1.04/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 1.04/1.41
% 1.04/1.41 termordering = kbo
% 1.04/1.41
% 1.04/1.41 litapriori = 0
% 1.04/1.41 termapriori = 1
% 1.04/1.41 litaposteriori = 0
% 1.04/1.41 termaposteriori = 0
% 1.04/1.41 demodaposteriori = 0
% 1.04/1.41 ordereqreflfact = 0
% 1.04/1.41
% 1.04/1.41 litselect = negord
% 1.04/1.41
% 1.04/1.41 maxweight = 15
% 1.04/1.41 maxdepth = 30000
% 1.04/1.41 maxlength = 115
% 1.04/1.41 maxnrvars = 195
% 1.04/1.41 excuselevel = 1
% 1.04/1.41 increasemaxweight = 1
% 1.04/1.41
% 1.04/1.41 maxselected = 10000000
% 1.04/1.41 maxnrclauses = 10000000
% 1.04/1.41
% 1.04/1.41 showgenerated = 0
% 1.04/1.41 showkept = 0
% 1.04/1.41 showselected = 0
% 1.04/1.41 showdeleted = 0
% 1.04/1.41 showresimp = 1
% 1.04/1.41 showstatus = 2000
% 1.04/1.41
% 1.04/1.41 prologoutput = 1
% 1.04/1.41 nrgoals = 5000000
% 1.04/1.41 totalproof = 1
% 1.04/1.41
% 1.04/1.41 Symbols occurring in the translation:
% 1.04/1.41
% 1.04/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.04/1.41 . [1, 2] (w:1, o:139, a:1, s:1, b:0),
% 1.04/1.41 ! [4, 1] (w:0, o:77, a:1, s:1, b:0),
% 1.04/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Ocomm__monoid__mult' [40, 1] (w:1, o:83, a:1, s:1
% 1.04/1.41 , b:0),
% 1.04/1.41 'tc_bool' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.04/1.41 'tc_fun' [44, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.04/1.41 'c_Orderings_Obot__class_Obot' [45, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.04/1.41 'c_Finite__Set_Osetprod' [46, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Oone__class_Oone' [47, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.04/1.41 'c_Finite__Set_Ofinite' [49, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.04/1.41 'tc_nat' [50, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Oord__class_Oless' [51, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Ominus__class_Ominus' [52, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.04/1.41 hAPP [54, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.04/1.41 'c_Suc' [56, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.04/1.41 hBOOL [57, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Opordered__comm__monoid__add' [58, 1] (w:1, o:91
% 1.04/1.41 , a:1, s:1, b:0),
% 1.04/1.41 'c_lessequals' [59, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Oplus__class_Oplus' [61, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Olordered__ab__group__add' [62, 1] (w:1, o:95, a:
% 1.04/1.41 1, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add' [64, 1] (w:1, o:96
% 1.65/2.08 , a:1, s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Ogroup__add' [74, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.65/2.08
% 1.65/2.08 'class_Ring__and__Field_Osemiring__0' [75, 1] (w:1, o:100, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'class_Power_Opower' [76, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.65/2.08 'c_Power_Opower__class_Opower' [77, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Opordered__ab__group__add' [78, 1] (w:1, o:101
% 1.65/2.08 , a:1, s:1, b:0),
% 1.65/2.08 'c_HOL_Ouminus__class_Ouminus' [79, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.65/2.08 'c_Orderings_Oorder' [82, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Oordered__semidom' [84, 1] (w:1, o:120, a:1
% 1.65/2.08 , s:1, b:0),
% 1.65/2.08 'c_Hilbert__Choice_OEps' [85, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.65/2.08 'c_Lattices_Oboolean__algebra' [92, 9] (w:1, o:206, a:1, s:1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Ocomm__semiring__1' [93, 1] (w:1, o:121, a:1
% 1.65/2.08 , s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Oab__group__add' [95, 1] (w:1, o:102, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'class_OrderedGroup_Ocomm__monoid__add' [96, 1] (w:1, o:103, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'class_OrderedGroup_Oab__semigroup__add' [97, 1] (w:1, o:104, a:1, s:
% 1.65/2.08 1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Ozero__neq__one' [98, 1] (w:1, o:122, a:1, s:
% 1.65/2.08 1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Ono__zero__divisors' [99, 1] (w:1, o:119, a:1
% 1.65/2.08 , s:1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Omult__zero' [100, 1] (w:1, o:118, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'tc_Arrow__Order__Mirabelle_Oalt' [101, 0] (w:1, o:44, a:1, s:1, b:0)
% 1.65/2.08 ,
% 1.65/2.08 'tc_prod' [102, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.65/2.08 'c_in' [103, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.65/2.08 'c_Pair' [104, 4] (w:1, o:196, a:1, s:1, b:0),
% 1.65/2.08 'c_Arrow__Order__Mirabelle_Omkbot' [106, 2] (w:1, o:169, a:1, s:1, b:
% 1.65/2.08 0),
% 1.65/2.08 'class_OrderedGroup_Omonoid__mult' [108, 1] (w:1, o:105, a:1, s:1, b:
% 1.65/2.08 0),
% 1.65/2.08 'c_COMBS' [111, 5] (w:1, o:201, a:1, s:1, b:0),
% 1.65/2.08 'c_Orderings_Opreorder' [113, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [114, 1]
% 1.65/2.08 (w:1, o:106, a:1, s:1, b:0),
% 1.65/2.08 'c_Finite__Set_Ocard' [116, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Osemiring__1' [120, 1] (w:1, o:124, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'c_Nat_Osemiring__1__class_Oof__nat' [121, 2] (w:1, o:171, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'c_Orderings_Olinorder' [122, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.65/2.08 'c_COMBB' [123, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.65/2.08 'c_Finite__Set_Osetsum' [125, 4] (w:1, o:197, a:1, s:1, b:0),
% 1.65/2.08 'class_Orderings_Olinorder' [126, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.65/2.08 'c_SetInterval_Oord__class_OlessThan' [127, 2] (w:1, o:172, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'c_Arrow__Order__Mirabelle_Omktop' [128, 2] (w:1, o:173, a:1, s:1, b:
% 1.65/2.08 0),
% 1.65/2.08 'class_Ring__and__Field_Oidom' [129, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.65/2.08
% 1.65/2.08 'class_Int_Onumber__ring' [130, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.65/2.08 'c_Lattices_Odistrib__lattice' [131, 5] (w:1, o:202, a:1, s:1, b:0),
% 1.65/2.08
% 1.65/2.08 'c_Set_Ovimage' [132, 4] (w:1, o:198, a:1, s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Ocancel__ab__semigroup__add' [133, 1] (w:1, o:108
% 1.65/2.08 , a:1, s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Ocancel__semigroup__add' [134, 1] (w:1, o:109, a:
% 1.65/2.08 1, s:1, b:0),
% 1.65/2.08 'class_Orderings_Opreorder' [135, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.65/2.08 'c_Orderings_Otop__class_Otop' [137, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.65/2.08
% 1.65/2.08 'c_Complete__Lattice_Ocomplete__lattice' [139, 9] (w:1, o:207, a:1
% 1.65/2.08 , s:1, b:0),
% 1.65/2.08 'class_OrderedGroup_Oordered__ab__group__add' [140, 1] (w:1, o:90, a:
% 1.65/2.08 1, s:1, b:0),
% 1.65/2.08 'class_Orderings_Obot' [142, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.65/2.08 'c_SetInterval_Oord__class_OgreaterThan' [143, 2] (w:1, o:174, a:1
% 1.65/2.08 , s:1, b:0),
% 1.65/2.08 'class_Nat_Osemiring__char__0' [144, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.65/2.08 'class_Complete__Lattice_Ocomplete__lattice' [145, 1] (w:1, o:129, a:
% 1.65/2.08 1, s:1, b:0),
% 1.65/2.08 'c_Complete__Lattice_OSup__class_OSup' [146, 2] (w:1, o:175, a:1, s:1
% 1.65/2.08 , b:0),
% 1.65/2.08 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1' [149, 3
% 1.65/2.08 ] (w:1, o:188, a:1, s:1, b:0),
% 1.65/2.08 'class_Ring__and__Field_Oordered__idom' [150, 1] (w:1, o:130, a:1, s:
% 14.52/14.88 1, b:0),
% 14.52/14.88 'c_Relation_Oconverse' [152, 3] (w:1, o:189, a:1, s:1, b:0),
% 14.52/14.88 'c_Complete__Lattice_OInf__class_OInf' [154, 2] (w:1, o:176, a:1, s:1
% 14.52/14.88 , b:0),
% 14.52/14.88 'class_Lattices_Oboolean__algebra' [155, 1] (w:1, o:131, a:1, s:1, b:
% 14.52/14.88 0),
% 14.52/14.88 'c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1' [156, 1] (w:1, o:
% 14.52/14.88 132, a:1, s:1, b:0),
% 14.52/14.88 'class_Finite__Set_Ofinite_Ofinite' [157, 1] (w:1, o:133, a:1, s:1
% 14.52/14.88 , b:0),
% 14.52/14.88 'c_Lattices_Obounded__lattice' [158, 7] (w:1, o:205, a:1, s:1, b:0),
% 14.52/14.88
% 14.52/14.88 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [160, 2] (w:1, o:
% 14.52/14.88 177, a:1, s:1, b:0),
% 14.52/14.88 'class_OrderedGroup_Omonoid__add' [161, 1] (w:1, o:113, a:1, s:1, b:0
% 14.52/14.88 ),
% 14.52/14.88 'c_Fun_Ooverride__on' [162, 5] (w:1, o:203, a:1, s:1, b:0),
% 14.52/14.88 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [163, 1]
% 14.52/14.88 (w:1, o:114, a:1, s:1, b:0),
% 14.52/14.88 'c_Arrow__Order__Mirabelle_Oabove' [164, 3] (w:1, o:190, a:1, s:1, b:
% 14.52/14.88 0),
% 14.52/14.88 'c_Arrow__Order__Mirabelle_OLin' [165, 0] (w:1, o:59, a:1, s:1, b:0)
% 14.52/14.88 ,
% 14.52/14.88 'c_Arrow__Order__Mirabelle_Obelow' [166, 3] (w:1, o:191, a:1, s:1, b:
% 14.52/14.88 0),
% 14.52/14.88 'c_Set_OPow' [167, 2] (w:1, o:178, a:1, s:1, b:0),
% 14.52/14.88 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1' [168, 3] (w:1, o:
% 14.52/14.88 192, a:1, s:1, b:0),
% 14.52/14.88 'class_Orderings_Oorder' [169, 1] (w:1, o:110, a:1, s:1, b:0),
% 14.52/14.88 'c_Lattices_Olattice' [170, 5] (w:1, o:204, a:1, s:1, b:0),
% 14.52/14.88 'class_Ring__and__Field_Oring__1__no__zero__divisors' [171, 1] (w:1
% 14.52/14.88 , o:98, a:1, s:1, b:0),
% 14.52/14.88 'c_COMBC' [172, 4] (w:1, o:199, a:1, s:1, b:0),
% 14.52/14.88 'c_List_Osko__Divides__Xmod__induct__1__1' [175, 2] (w:1, o:179, a:1
% 14.52/14.88 , s:1, b:0),
% 14.52/14.88 'class_Orderings_Otop' [176, 1] (w:1, o:115, a:1, s:1, b:0),
% 14.52/14.88 'class_Ring__and__Field_Oring__1' [177, 1] (w:1, o:99, a:1, s:1, b:0)
% 14.52/14.88 ,
% 14.52/14.88 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1' [178, 3] (w:1
% 14.52/14.88 , o:193, a:1, s:1, b:0),
% 14.52/14.88 'c_fequal' [179, 1] (w:1, o:134, a:1, s:1, b:0),
% 14.52/14.88 'c_The' [182, 2] (w:1, o:180, a:1, s:1, b:0),
% 14.52/14.88 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1' [183, 1] (w:1, o:
% 14.52/14.88 135, a:1, s:1, b:0),
% 14.52/14.88 'c_List_Osko__List__Xall__nat__less__eq__1__2' [185, 2] (w:1, o:181
% 14.52/14.88 , a:1, s:1, b:0),
% 14.52/14.88 'c_List_Osko__List__Xex__nat__less__eq__1__1' [186, 2] (w:1, o:182
% 14.52/14.88 , a:1, s:1, b:0),
% 14.52/14.88 't_a' [187, 0] (w:1, o:62, a:1, s:1, b:0),
% 14.52/14.88 'v_a' [188, 0] (w:1, o:63, a:1, s:1, b:0),
% 14.52/14.88 'c_HOL_OIf' [189, 1] (w:1, o:136, a:1, s:1, b:0),
% 14.52/14.88 'v_n' [190, 0] (w:1, o:64, a:1, s:1, b:0),
% 14.52/14.88 'v_F' [191, 0] (w:1, o:65, a:1, s:1, b:0),
% 14.52/14.88 'c_Arrow__Order__Mirabelle_OIIA' [192, 1] (w:1, o:137, a:1, s:1, b:0)
% 14.52/14.88 ,
% 14.52/14.88 'c_Arrow__Order__Mirabelle_Ounanimity' [193, 1] (w:1, o:138, a:1, s:1
% 14.52/14.88 , b:0),
% 14.52/14.88 'class_HOL_Oord' [194, 1] (w:1, o:126, a:1, s:1, b:0),
% 14.52/14.88 'c_FuncSet_OPi' [195, 4] (w:1, o:200, a:1, s:1, b:0),
% 14.52/14.88 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' [198, 0] (w:1, o:68
% 14.52/14.88 , a:1, s:1, b:0),
% 14.52/14.88 'tc_Arrow__Order__Mirabelle_Oindi' [199, 0] (w:1, o:69, a:1, s:1, b:0
% 14.52/14.88 ),
% 14.52/14.88 'v_h____' [200, 0] (w:1, o:70, a:1, s:1, b:0),
% 14.52/14.88 'v_Lab____' [201, 0] (w:1, o:71, a:1, s:1, b:0),
% 14.52/14.88 'v_Lba____' [202, 0] (w:1, o:72, a:1, s:1, b:0),
% 14.52/14.88 'c_Arrow__Order__Mirabelle_OProf' [203, 0] (w:1, o:73, a:1, s:1, b:0)
% 14.52/14.88 ,
% 14.52/14.88 'c_COMBK' [204, 3] (w:1, o:194, a:1, s:1, b:0).
% 14.52/14.88
% 14.52/14.88
% 14.52/14.88 Starting Search:
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88
% 14.52/14.88 Intermediate Status:
% 14.52/14.88 Generated: 6757
% 14.52/14.88 Kept: 2005
% 14.52/14.88 Inuse: 156
% 14.52/14.88 Deleted: 6
% 14.52/14.88 Deletedinuse: 0
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88
% 14.52/14.88 Intermediate Status:
% 14.52/14.88 Generated: 22324
% 14.52/14.88 Kept: 4950
% 14.52/14.88 Inuse: 189
% 14.52/14.88 Deleted: 7
% 14.52/14.88 Deletedinuse: 0
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88
% 14.52/14.88 Intermediate Status:
% 14.52/14.88 Generated: 28625
% 14.52/14.88 Kept: 7058
% 14.52/14.88 Inuse: 224
% 14.52/14.88 Deleted: 7
% 14.52/14.88 Deletedinuse: 0
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88
% 14.52/14.88 Intermediate Status:
% 14.52/14.88 Generated: 33631
% 14.52/14.88 Kept: 9089
% 14.52/14.88 Inuse: 256
% 14.52/14.88 Deleted: 8
% 14.52/14.88 Deletedinuse: 0
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 14.52/14.88 Done
% 14.52/14.88
% 14.52/14.88 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 39222
% 45.61/45.99 Kept: 11235
% 45.61/45.99 Inuse: 278
% 45.61/45.99 Deleted: 8
% 45.61/45.99 Deletedinuse: 0
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 53822
% 45.61/45.99 Kept: 13796
% 45.61/45.99 Inuse: 310
% 45.61/45.99 Deleted: 11
% 45.61/45.99 Deletedinuse: 0
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 66729
% 45.61/45.99 Kept: 15983
% 45.61/45.99 Inuse: 339
% 45.61/45.99 Deleted: 22
% 45.61/45.99 Deletedinuse: 0
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 77253
% 45.61/45.99 Kept: 18021
% 45.61/45.99 Inuse: 372
% 45.61/45.99 Deleted: 24
% 45.61/45.99 Deletedinuse: 1
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 85251
% 45.61/45.99 Kept: 20063
% 45.61/45.99 Inuse: 378
% 45.61/45.99 Deleted: 29
% 45.61/45.99 Deletedinuse: 1
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying clauses:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 97003
% 45.61/45.99 Kept: 22740
% 45.61/45.99 Inuse: 393
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 107004
% 45.61/45.99 Kept: 25350
% 45.61/45.99 Inuse: 403
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 114564
% 45.61/45.99 Kept: 27617
% 45.61/45.99 Inuse: 438
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 121445
% 45.61/45.99 Kept: 29642
% 45.61/45.99 Inuse: 465
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 140844
% 45.61/45.99 Kept: 32191
% 45.61/45.99 Inuse: 478
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 160404
% 45.61/45.99 Kept: 34642
% 45.61/45.99 Inuse: 493
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 167953
% 45.61/45.99 Kept: 36979
% 45.61/45.99 Inuse: 513
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 176492
% 45.61/45.99 Kept: 39191
% 45.61/45.99 Inuse: 533
% 45.61/45.99 Deleted: 301
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying clauses:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 185510
% 45.61/45.99 Kept: 41431
% 45.61/45.99 Inuse: 568
% 45.61/45.99 Deleted: 450
% 45.61/45.99 Deletedinuse: 2
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 197863
% 45.61/45.99 Kept: 43501
% 45.61/45.99 Inuse: 603
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 206040
% 45.61/45.99 Kept: 45564
% 45.61/45.99 Inuse: 623
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 214442
% 45.61/45.99 Kept: 47689
% 45.61/45.99 Inuse: 648
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 227305
% 45.61/45.99 Kept: 50171
% 45.61/45.99 Inuse: 668
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 237367
% 45.61/45.99 Kept: 52252
% 45.61/45.99 Inuse: 688
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 250966
% 45.61/45.99 Kept: 55182
% 45.61/45.99 Inuse: 698
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 261967
% 45.61/45.99 Kept: 57895
% 45.61/45.99 Inuse: 708
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 278971
% 45.61/45.99 Kept: 60711
% 45.61/45.99 Inuse: 748
% 45.61/45.99 Deleted: 451
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying clauses:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 292936
% 45.61/45.99 Kept: 63769
% 45.61/45.99 Inuse: 758
% 45.61/45.99 Deleted: 615
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Status:
% 45.61/45.99 Generated: 304771
% 45.61/45.99 Kept: 66969
% 45.61/45.99 Inuse: 768
% 45.61/45.99 Deleted: 615
% 45.61/45.99 Deletedinuse: 3
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99 Resimplifying inuse:
% 45.61/45.99 Done
% 45.61/45.99
% 45.61/45.99
% 45.61/45.99 Intermediate Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------