TSTP Solution File: SWV821-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV821-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 : Wed Jul 20 16:28:40 EDT 2022
% Result : Timeout 300.04s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWV821-1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.15 % Command : bliksem %s
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % DateTime : Wed Jun 15 09:09:26 EDT 2022
% 0.16/0.37 % CPUTime :
% 1.13/1.48 *** allocated 10000 integers for termspace/termends
% 1.13/1.48 *** allocated 10000 integers for clauses
% 1.13/1.48 *** allocated 10000 integers for justifications
% 1.13/1.48 *** allocated 15000 integers for termspace/termends
% 1.13/1.48 *** allocated 22500 integers for termspace/termends
% 1.13/1.48 *** allocated 33750 integers for termspace/termends
% 1.13/1.48 Bliksem 1.12
% 1.13/1.48
% 1.13/1.48
% 1.13/1.48 Automatic Strategy Selection
% 1.13/1.48
% 1.13/1.48 Clauses:
% 1.13/1.48 [
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.13/1.48 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.13/1.48 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.13/1.48 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.13/1.48 , X ), W, X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.13/1.48 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), X, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 1.13/1.48 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), T, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.13/1.48 , X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.48 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.13/1.48 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.13/1.48 , X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.48 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.13/1.48 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.13/1.48 , X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.13/1.48 , X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.13/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.13/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.13/1.48 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.13/1.48 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.13/1.48 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.48 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.13/1.48 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 1.13/1.48 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 1.13/1.48 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.13/1.48 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 T, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.48 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.13/1.48 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.13/1.48 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 1.13/1.48 ), =( X, T ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.48 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.48 , Z, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.48 , Z, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , Y, X ), X ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.13/1.48 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.13/1.48 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.13/1.48 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.13/1.48 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.13/1.48 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.13/1.48 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.13/1.48 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.13/1.48 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.48 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.13/1.48 , T ) ],
% 1.13/1.48 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.13/1.48 , Z ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.13/1.48 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 1.13/1.48 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.13/1.48 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 1.13/1.48 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.48 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.13/1.48 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.48 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.13/1.48 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.13/1.48 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.13/1.48 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.13/1.48 ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.13/1.48 ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 1.13/1.48 Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.13/1.48 ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.48 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.13/1.48 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.48 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.48 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.13/1.48 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.13/1.48 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.13/1.48 , X ), W, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.13/1.48 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.13/1.48 , X ), T, X ), W, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.48 , T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.48 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.48 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.48 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 1.13/1.48 , X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.13/1.48 , 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.13/1.48 , 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.13/1.48 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.13/1.48 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.13/1.48 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 X, T, 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.13/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.13/1.48 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.48 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.13/1.48 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.13/1.48 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.13/1.48 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.13/1.48 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.48 , Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.48 , Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.13/1.48 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.48 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.13/1.48 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.13/1.48 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.48 , T, X ), X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.13/1.48 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.13/1.48 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.48 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.13/1.48 Y, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.48 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.48 'tc_nat' ), X ) ) ],
% 1.13/1.48 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), T, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), T,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.13/1.48 T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.13/1.48 T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.13/1.48 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.48 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 Z, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.13/1.48 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.13/1.48 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.48 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.13/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.48 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.13/1.48 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.13/1.48 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.13/1.48 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 1.13/1.48 ],
% 1.13/1.48 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.13/1.48 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.13/1.48 ), X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 1.13/1.48 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.13/1.48 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.48 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.13/1.48 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.13/1.48 ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 1.13/1.48 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.13/1.48 ), Y ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.13/1.48 , X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.13/1.48 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.13/1.48 ), X ), Y ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.48 'tc_nat' ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.48 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.13/1.48 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 Z, T, 'tc_nat' ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.48 Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.13/1.48 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.13/1.48 ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.13/1.48 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.13/1.48 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.13/1.48 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , Y, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.48 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , Y, X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.48 , T, X ), X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.48 X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.48 X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.13/1.48 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.13/1.48 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 1.13/1.48 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.48 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.48 Y, T, X ), X ) ) ],
% 1.13/1.48 [ =( 'c_Nat_Osize__class_Osize'( 'c_Com_Ocom_OSemi'( X, Y ),
% 1.13/1.48 'tc_Com_Ocom' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_Nat_Osize__class_Osize'( X, 'tc_Com_Ocom' ),
% 1.13/1.48 'c_Nat_Osize__class_Osize'( Y, 'tc_Com_Ocom' ), 'tc_nat' ), 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.13/1.48 ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.13/1.48 , 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 1.13/1.48 ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 1.13/1.48 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 1.13/1.48 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 1.13/1.48 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.13/1.48 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.13/1.48 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.13/1.48 , X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.13/1.48 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.48 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.13/1.48 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.13/1.48 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.13/1.48 , Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.13/1.48 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.48 , Z, X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.13/1.48 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.13/1.48 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.48 , Z, X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.13/1.48 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.13/1.48 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.13/1.48 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.48 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.48 , T, X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.48 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.48 , T, X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.13/1.48 Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.48 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.48 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.13/1.48 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.13/1.48 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.13/1.48 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.13/1.48 , X ), W, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.13/1.48 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.13/1.48 W, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.13/1.48 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.13/1.48 , X ), T, X ), W, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.13/1.48 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.13/1.48 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.13/1.48 W, X ), X ) ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ), U, 'tc_nat' ) ) ), ~(
% 1.13/1.48 'c_lessequals'( T, X, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 1.13/1.48 'tc_nat' ), Y, 'tc_nat' ), Z, 'tc_nat' ), U ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ), U, 'tc_nat' ) ) ), ~(
% 1.13/1.48 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X,
% 1.13/1.48 'tc_nat' ), Y, 'tc_nat' ), U, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.48 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), T,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.13/1.48 , X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.48 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.13/1.48 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.13/1.48 Z, X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.48 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.48 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.48 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.48 Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 1.13/1.48 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 1.13/1.48 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.48 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.48 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.48 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.13/1.48 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.13/1.48 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 X, Z, 'tc_nat' ), T, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' )
% 1.13/1.48 ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 1.13/1.48 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.13/1.48 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat'
% 1.13/1.48 ), X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' )
% 1.13/1.48 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 1.13/1.48 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( Z,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.48 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.13/1.48 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.48 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.48 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.48 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.48 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.48 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 1.13/1.48 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 1.13/1.48 , T ), =( X, Z ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 1.13/1.48 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 1.13/1.48 , T ), =( X, Z ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.13/1.48 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.13/1.48 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.48 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.13/1.48 , X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.13/1.48 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ), X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.48 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.13/1.48 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.48 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.13/1.48 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 1.13/1.48 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.13/1.48 , X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.13/1.48 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.13/1.48 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.13/1.48 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.13/1.48 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.48 ), X ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.48 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.13/1.48 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.13/1.48 X ), Z, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.13/1.48 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.13/1.48 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 1.13/1.48 ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 1.13/1.48 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.13/1.48 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ =( 'c_COMBI'( X, Y ), X ) ],
% 1.13/1.48 [ =( 'c_COMBK'( X, Y, Z, T ), X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.48 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.13/1.48 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.48 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.48 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.48 X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.48 X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.48 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.48 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.13/1.48 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.48 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.48 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.48 ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.13/1.48 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.13/1.48 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.48 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.48 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.48 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.13/1.48 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 1.13/1.48 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.13/1.48 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.13/1.48 ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.48 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.48 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.48 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.13/1.48 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.48 , T, X ) ) ), =( Y, Z ) ],
% 1.13/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.13/1.48 , T, X ) ) ), =( Z, T ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 1.13/1.48 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.48 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.13/1.48 X ), X ), Y ) ],
% 1.13/1.48 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.48 'tc_nat' ) ), =( Y, Z ) ],
% 1.13/1.48 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.48 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.48 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.48 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.48 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.48 X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.13/1.48 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.48 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.48 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.13/1.48 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.48 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 X ), T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.13/1.48 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.13/1.48 ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.48 , Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.48 , T, X ), X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.13/1.48 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.48 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.13/1.48 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 1.13/1.48 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 1.13/1.48 ,
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.13/1.48 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.13/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.13/1.48 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.48 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.13/1.48 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.48 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.48 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.13/1.48 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.13/1.48 'c_lessequals'( Y, Z, X ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.48 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.13/1.48 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.48 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.48 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.13/1.48 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.13/1.48 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.48 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 1.13/1.49 , X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 1.13/1.49 , X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 1.13/1.49 Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.13/1.49 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.49 , Y, X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 1.13/1.49 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.13/1.49 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.13/1.49 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.13/1.49 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.13/1.49 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.13/1.49 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.13/1.49 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.13/1.49 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.49 ],
% 1.13/1.49 [ =( 'c_Nat_Osize__class_Osize'( 'c_Suc'( X ), 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ),
% 1.13/1.49 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.13/1.49 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.13/1.49 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.13/1.49 ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 Z, X ) ) ],
% 1.13/1.49 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.49 , Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.49 , Y, X ) ) ],
% 1.13/1.49 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ) ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ) ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Y, 'tc_nat' ), 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat'
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.49 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.49 , Y, X ) ) ],
% 1.13/1.49 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.49 ), =( Z, Y ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ) ],
% 1.13/1.49 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.13/1.49 , Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.13/1.49 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 1.13/1.49 Z, T, Y ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.49 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.13/1.49 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.13/1.49 X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.13/1.49 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.13/1.49 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.49 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.13/1.49 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.49 [ =( 'c_Com_Ocom_Ocom__size'( 'c_Com_Ocom_OSKIP' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.13/1.49 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.13/1.49 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.13/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.13/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.13/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.13/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 1.13/1.49 ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.13/1.49 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.13/1.49 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 1.13/1.49 'tc_nat' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 Y, T, X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 1.13/1.49 , T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 1.13/1.49 , Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 1.13/1.49 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.13/1.49 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.13/1.49 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 1.13/1.49 , 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.13/1.49 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 1.13/1.49 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 1.13/1.49 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.13/1.49 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.13/1.49 , X, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.13/1.49 'tc_nat' ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.13/1.49 X ) ) ), =( Z, T ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.13/1.49 X ) ) ), =( Z, T ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.13/1.49 X ) ) ), =( Y, T ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.13/1.49 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 1.13/1.49 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.13/1.49 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.13/1.49 , T, X ), X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.13/1.49 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 1.13/1.49 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.13/1.49 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.13/1.49 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.13/1.49 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.13/1.49 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_lessequals'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.13/1.49 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.13/1.49 , X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.13/1.49 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.13/1.49 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.49 , Z, X ) ) ],
% 1.13/1.49 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 1.13/1.49 ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.13/1.49 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.13/1.49 X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.13/1.49 ), Y, X ) ), =( Z, T ) ],
% 1.13/1.49 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.13/1.49 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.49 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.49 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.13/1.49 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.13/1.49 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.13/1.49 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.13/1.49 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.13/1.49 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.13/1.49 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.13/1.49 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.13/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.49 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ) ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ) ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.13/1.49 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.13/1.49 Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.13/1.49 , X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.13/1.49 , X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.49 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.13/1.49 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 1.13/1.49 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.13/1.49 ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 1.13/1.49 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.49 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ), X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 1.13/1.49 Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.13/1.49 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.13/1.49 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.13/1.49 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.13/1.49 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.13/1.49 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.13/1.49 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 1.13/1.49 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.13/1.49 X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ), X ) ) ],
% 1.13/1.49 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_nat_Onat__size'( X ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.13/1.49 ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 1.13/1.49 X ), X ), Y ) ],
% 1.13/1.49 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 1.13/1.49 'tc_nat' ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.13/1.49 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Y, T, X ), Z, X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.13/1.49 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ =( 'c_Com_Ocom_Ocom__size'( 'c_Com_Ocom_OSemi'( X, Y ) ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_Com_Ocom_Ocom__size'( X ), 'c_Com_Ocom_Ocom__size'( Y ), 'tc_nat' ),
% 1.13/1.49 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.13/1.49 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ) ) )
% 1.13/1.49 ],
% 1.13/1.49 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.49 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.49 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.13/1.49 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Y, T, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Y, T, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.49 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.13/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.13/1.49 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.13/1.49 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.13/1.49 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.49 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 1.13/1.49 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.13/1.49 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.13/1.49 ],
% 1.13/1.49 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.13/1.49 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.13/1.49 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.13/1.49 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.13/1.49 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.13/1.49 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.13/1.49 [ =( 'c_Nat_Osize__class_Osize'( 'c_Com_Ocom_OSKIP', 'tc_Com_Ocom' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.13/1.49 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.13/1.49 X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.13/1.49 X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.49 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.49 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.13/1.49 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 1.13/1.49 , Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.49 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.49 , Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.13/1.49 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.49 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.49 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.49 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.13/1.49 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.49 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.13/1.49 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.49 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.13/1.49 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.13/1.49 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 1.13/1.49 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.13/1.49 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.13/1.49 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.13/1.49 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.49 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.13/1.49 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.13/1.49 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.13/1.49 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.13/1.49 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.13/1.49 X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.13/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.13/1.49 Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.13/1.49 Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.13/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.13/1.49 X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.13/1.49 Y, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 T, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.13/1.49 Y, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.49 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.49 T, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 1.13/1.49 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Z, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.13/1.49 X ), X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 1.13/1.49 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.13/1.49 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.13/1.49 , U, X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.49 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.13/1.49 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.49 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.13/1.49 , 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 1.13/1.49 , 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 1.13/1.49 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.13/1.49 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.49 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.49 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.13/1.49 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.13/1.49 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.13/1.49 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.13/1.49 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.13/1.49 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Y, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.13/1.49 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.13/1.49 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.13/1.49 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.13/1.49 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.13/1.49 , X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.13/1.49 , X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.13/1.49 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.49 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.49 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.13/1.49 ), Y ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.13/1.49 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.13/1.49 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.13/1.49 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 Y, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.13/1.49 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.13/1.49 ), Y ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.13/1.49 ), Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.13/1.49 ), Y ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.13/1.49 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.13/1.49 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.13/1.49 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.49 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.13/1.49 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.49 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 , X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.49 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.49 , T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.13/1.49 , T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , Y, X ), X ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.13/1.49 ],
% 1.13/1.49 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.49 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.13/1.49 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.13/1.49 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.13/1.49 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.13/1.49 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.13/1.49 , X ), X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.49 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.49 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.49 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.49 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.13/1.49 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.13/1.49 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 1.13/1.49 ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 1.13/1.49 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.13/1.49 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.13/1.49 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.13/1.49 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.13/1.49 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.13/1.49 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.13/1.49 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.13/1.49 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.13/1.49 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.13/1.49 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.13/1.49 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.13/1.49 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.13/1.49 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.13/1.49 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.13/1.49 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.13/1.49 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.13/1.49 Y, X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.13/1.49 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.13/1.49 Y, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.13/1.49 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.49 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.13/1.49 Y, X ), X ) ],
% 1.13/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.13/1.49 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.13/1.49 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.13/1.49 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.13/1.49 T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.13/1.49 X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.13/1.49 T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.13/1.49 X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 T, X ), X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.13/1.49 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.13/1.49 X ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.13/1.49 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.13/1.49 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.13/1.49 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.13/1.49 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.13/1.49 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.49 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.49 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.49 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.49 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.13/1.49 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.13/1.49 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.13/1.49 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.13/1.49 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.13/1.49 , X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.49 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.13/1.49 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.49 ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.13/1.49 ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.49 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.49 [ =( 'c_Nat_Osize__class_Osize'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.13/1.49 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.13/1.49 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.49 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.13/1.49 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_Orderings_Oord__class_Omin'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.13/1.49 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.13/1.49 [ =( 'c_Nitpick_Onat__gcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.13/1.49 , X ) ],
% 1.13/1.49 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ), 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 1.13/1.49 ],
% 1.13/1.49 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.13/1.49 ],
% 1.13/1.49 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 1.13/1.49 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.13/1.49 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 1.13/1.49 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 1.13/1.49 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.13/1.49 , X, 'tc_nat' ), X ) ],
% 1.13/1.49 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.49 ), 'tc_nat' ), X ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 1.13/1.49 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.13/1.49 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 1.13/1.49 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.13/1.49 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.13/1.49 [ 'c_Natural_Oevaln'( X, Y, Z, T ), ~( 'c_lessequals'( U, Z, 'tc_nat' )
% 1.13/1.49 ), ~( 'c_Natural_Oevaln'( X, Y, U, T ) ) ],
% 1.13/1.49 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 1.13/1.49 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 1.13/1.49 , Y, Z, T ) ) ],
% 1.13/1.49 [ 'c_Natural_Oevaln'( X, Y,
% 1.13/1.49 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( Z, X, T, Y, U, W ), W ),
% 1.13/1.49 ~( 'c_Natural_Oevaln'( X, Y, V0, W ) ), ~( 'c_Natural_Oevaln'( Z, T, V1,
% 1.13/1.49 U ) ) ],
% 1.13/1.49 [ 'c_Natural_Oevaln'( X, Y,
% 1.13/1.49 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( X, Z, Y, T, U, W ), U ),
% 1.13/1.49 ~( 'c_Natural_Oevaln'( Z, T, V0, W ) ), ~( 'c_Natural_Oevaln'( X, Y, V1,
% 1.13/1.49 U ) ) ],
% 1.13/1.49 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 1.13/1.49 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 1.13/1.49 ],
% 1.13/1.49 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 1.13/1.49 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( Y ), Z, X, T
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.13/1.50 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.13/1.50 [ =( 'c_COMBI'( 'v_P', 't_a' ), 'v_P' ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.50 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.13/1.50 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.50 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.50 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.13/1.50 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ =( 'c_Nat_Osize__class_Osize'( 'c_Com_Ocom_OBODY'( X ), 'tc_Com_Ocom'
% 1.13/1.50 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ =( 'c_Com_Ocom_Ocom__size'( 'c_Com_Ocom_OBODY'( X ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ =( 'c_COMBK'( 'v_P', 'v_Q', 't_a', 't_b' ), 'v_P' ) ],
% 1.13/1.50 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.13/1.50 ],
% 1.13/1.50 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 1.13/1.50 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_xa',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_xb' ) ],
% 1.13/1.50 [ ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.13/1.50 ],
% 1.13/1.50 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.13/1.50 ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.13/1.50 ],
% 1.13/1.50 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.13/1.50 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 1.13/1.50 ] .
% 1.13/1.50
% 1.13/1.50
% 1.13/1.50 percentage equality = 0.217286, percentage horn = 0.872975
% 1.13/1.50 This is a problem with some equality
% 1.13/1.50
% 1.13/1.50
% 1.13/1.50
% 1.13/1.50 Options Used:
% 1.13/1.50
% 1.13/1.50 useres = 1
% 1.13/1.50 useparamod = 1
% 1.13/1.50 useeqrefl = 1
% 1.13/1.50 useeqfact = 1
% 1.13/1.50 usefactor = 1
% 1.13/1.50 usesimpsplitting = 0
% 1.13/1.50 usesimpdemod = 5
% 1.13/1.50 usesimpres = 3
% 1.13/1.50
% 1.13/1.50 resimpinuse = 1000
% 1.13/1.50 resimpclauses = 20000
% 1.13/1.50 substype = eqrewr
% 1.13/1.50 backwardsubs = 1
% 1.13/1.50 selectoldest = 5
% 1.13/1.50
% 1.13/1.50 litorderings [0] = split
% 1.13/1.50 litorderings [1] = extend the termordering, first sorting on arguments
% 1.13/1.50
% 1.13/1.50 termordering = kbo
% 1.13/1.50
% 1.13/1.50 litapriori = 0
% 1.13/1.50 termapriori = 1
% 1.13/1.50 litaposteriori = 0
% 1.13/1.50 termaposteriori = 0
% 1.13/1.50 demodaposteriori = 0
% 1.13/1.50 ordereqreflfact = 0
% 1.13/1.50
% 1.13/1.50 litselect = negord
% 1.13/1.50
% 1.13/1.50 maxweight = 15
% 1.13/1.50 maxdepth = 30000
% 1.13/1.50 maxlength = 115
% 1.13/1.50 maxnrvars = 195
% 1.13/1.50 excuselevel = 1
% 1.13/1.50 increasemaxweight = 1
% 1.13/1.50
% 1.13/1.50 maxselected = 10000000
% 1.13/1.50 maxnrclauses = 10000000
% 1.13/1.50
% 1.13/1.50 showgenerated = 0
% 1.13/1.50 showkept = 0
% 1.13/1.50 showselected = 0
% 1.13/1.50 showdeleted = 0
% 1.13/1.50 showresimp = 1
% 1.13/1.50 showstatus = 2000
% 1.13/1.50
% 1.13/1.50 prologoutput = 1
% 1.13/1.50 nrgoals = 5000000
% 1.13/1.50 totalproof = 1
% 1.13/1.50
% 1.13/1.50 Symbols occurring in the translation:
% 1.13/1.50
% 1.13/1.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.13/1.50 . [1, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.13/1.50 ! [4, 1] (w:0, o:83, a:1, s:1, b:0),
% 1.13/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.50 'tc_nat' [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus' [42, 3] (w:1, o:208, a:1, s:1, b:0),
% 1.13/1.50 'c_Suc' [43, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:207, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Oring' [46, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Otimes__class_Otimes' [49, 3] (w:1, o:209, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:210, a:1, s:1, b:0),
% 1.13/1.50 'c_lessequals' [57, 3] (w:1, o:211, a:1, s:1, b:0),
% 1.13/1.50 'class_OrderedGroup_Opordered__ab__group__add' [58, 1] (w:1, o:93, a:
% 1.13/1.50 1, s:1, b:0),
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus' [59, 2] (w:1, o:194, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Olordered__ring' [60, 1] (w:1, o:94, a:1, s:1
% 1.13/1.50 , b:0),
% 1.13/1.50 'c_HOL_Oabs__class_Oabs' [61, 2] (w:1, o:195, a:1, s:1, b:0),
% 1.13/1.50 'class_OrderedGroup_Opordered__ab__group__add__abs' [62, 1] (w:1, o:
% 1.13/1.50 95, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Osemiring__0' [63, 1] (w:1, o:99, a:1, s:1
% 1.13/1.50 , b:0),
% 1.13/1.50 'class_Power_Opower' [64, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero' [65, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.13/1.50 'c_Power_Opower__class_Opower' [66, 3] (w:1, o:215, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:128, a:1
% 1.13/1.50 , s:1, b:0),
% 1.13/1.50 'c_HOL_Oone__class_Oone' [68, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Oordered__semiring__strict' [69, 1] (w:1, o:
% 1.13/1.50 130, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Ofield' [70, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.13/1.50
% 1.13/1.50 'class_Int_Onumber__ring' [71, 1] (w:1, o:132, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:196, a:1, s:1, b:0)
% 1.13/1.50 ,
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide' [74, 3] (w:1, o:216, a:1, s:1, b:0),
% 1.13/1.50
% 1.13/1.50 'class_Divides_Osemiring__div' [75, 1] (w:1, o:134, a:1, s:1, b:0),
% 1.13/1.50 'c_Divides_Odiv__class_Omod' [76, 3] (w:1, o:217, a:1, s:1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Oidom' [77, 1] (w:1, o:135, a:1, s:1, b:0),
% 1.13/1.50 'c_Ring__and__Field_Odvd__class_Odvd' [78, 3] (w:1, o:218, a:1, s:1
% 1.13/1.50 , b:0),
% 1.13/1.50 'class_Ring__and__Field_Oordered__field' [79, 1] (w:1, o:136, a:1, s:
% 1.13/1.50 1, b:0),
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero' [80, 1] (w:1, o:141, a:1
% 1.13/1.50 , s:1, b:0),
% 1.13/1.50 'class_Orderings_Olinorder' [81, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.13/1.50 'c_Orderings_Oord__class_Omin' [83, 3] (w:1, o:213, a:1, s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Olordered__ab__group__add' [85, 1] (w:1, o:101
% 1.45/1.78 , a:1, s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Oordered__ab__group__add' [86, 1] (w:1, o:92, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'class_Lattices_Oboolean__algebra' [87, 1] (w:1, o:142, a:1, s:1, b:0
% 1.45/1.78 ),
% 1.45/1.78 'c_Lattices_Olower__semilattice__class_Oinf' [88, 3] (w:1, o:219, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'c_Orderings_Obot__class_Obot' [89, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.45/1.78 'c_Orderings_Oord__class_Omax' [90, 3] (w:1, o:214, a:1, s:1, b:0),
% 1.45/1.78 'c_List_Oreplicate' [92, 3] (w:1, o:220, a:1, s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Ocomm__semiring__1' [93, 1] (w:1, o:139, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Ocomm__monoid__mult' [94, 1] (w:1, o:102, a:1, s:
% 1.45/1.78 1, b:0),
% 1.45/1.78 'class_OrderedGroup_Omonoid__mult' [95, 1] (w:1, o:106, a:1, s:1, b:0
% 1.45/1.78 ),
% 1.45/1.78 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [96, 1]
% 1.45/1.78 (w:1, o:107, a:1, s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Ocomm__monoid__add' [97, 1] (w:1, o:108, a:1, s:1
% 1.45/1.78 , b:0),
% 1.45/1.78 'class_Ring__and__Field_Odvd' [98, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Olordered__ab__group__add__abs' [99, 1] (w:1, o:
% 1.45/1.78 103, a:1, s:1, b:0),
% 1.45/1.78 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [100, 2] (w:1
% 1.45/1.78 , o:200, a:1, s:1, b:0),
% 1.45/1.78 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [101, 2] (w:1
% 1.45/1.78 , o:201, a:1, s:1, b:0),
% 1.45/1.78 'class_Orderings_Obot' [103, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.45/1.78 'c_Com_Ocom_OSemi' [106, 2] (w:1, o:202, a:1, s:1, b:0),
% 1.45/1.78 'c_Lattices_Oupper__semilattice__class_Osup' [110, 3] (w:1, o:221, a:
% 1.45/1.78 1, s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Opordered__ring' [111, 1] (w:1, o:148, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Oordered__ring__strict' [116, 1] (w:1, o:127
% 1.45/1.78 , a:1, s:1, b:0),
% 1.45/1.78 'class_Lattices_Obounded__lattice' [117, 1] (w:1, o:149, a:1, s:1, b:
% 1.45/1.78 0),
% 1.45/1.78 'class_Ring__and__Field_Oordered__idom' [119, 1] (w:1, o:145, a:1, s:
% 1.45/1.78 1, b:0),
% 1.45/1.78 'c_HOL_Osgn__class_Osgn' [120, 2] (w:1, o:203, a:1, s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Oring__1' [121, 1] (w:1, o:96, a:1, s:1, b:0)
% 1.45/1.78 ,
% 1.45/1.78 'class_Nat_Osemiring__char__0' [122, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.45/1.78 'c_Nat_Osemiring__1__class_Oof__nat' [123, 2] (w:1, o:197, a:1, s:1
% 1.45/1.78 , b:0),
% 1.45/1.78 'class_Ring__and__Field_Oordered__semiring' [124, 1] (w:1, o:146, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Oabs__if' [125, 1] (w:1, o:150, a:1, s:1, b:0
% 1.45/1.78 ),
% 1.45/1.78 'class_Divides_Oring__div' [126, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Ocomm__ring__1' [128, 1] (w:1, o:137, a:1, s:
% 1.45/1.78 1, b:0),
% 1.45/1.78 'class_OrderedGroup_Ogroup__add' [131, 1] (w:1, o:110, a:1, s:1, b:0)
% 1.45/1.78 ,
% 1.45/1.78 'class_Ring__and__Field_Odivision__ring' [132, 1] (w:1, o:151, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Opordered__ab__semigroup__add' [133, 1] (w:1, o:
% 1.45/1.78 111, a:1, s:1, b:0),
% 1.45/1.78 'class_Lattices_Odistrib__lattice' [134, 1] (w:1, o:152, a:1, s:1, b:
% 1.45/1.78 0),
% 1.45/1.78 'class_OrderedGroup_Opordered__comm__monoid__add' [135, 1] (w:1, o:
% 1.45/1.78 112, a:1, s:1, b:0),
% 1.45/1.78 'class_OrderedGroup_Olordered__ab__group__add__join' [136, 1] (w:1
% 1.45/1.78 , o:104, a:1, s:1, b:0),
% 1.45/1.78 'class_Lattices_Oupper__semilattice' [137, 1] (w:1, o:153, a:1, s:1
% 1.45/1.78 , b:0),
% 1.45/1.78 'class_Orderings_Opreorder' [138, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.45/1.78 'class_Orderings_Oorder' [139, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.45/1.78 'class_Ring__and__Field_Osgn__if' [140, 1] (w:1, o:154, a:1, s:1, b:0
% 1.45/1.78 ),
% 1.45/1.78 'class_OrderedGroup_Oab__group__add' [141, 1] (w:1, o:115, a:1, s:1
% 1.45/1.78 , b:0),
% 1.45/1.78 'class_OrderedGroup_Oab__semigroup__add' [142, 1] (w:1, o:116, a:1
% 1.45/1.78 , s:1, b:0),
% 1.45/1.78 'tc_Com_Ocom' [143, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.45/1.78 'c_Nat_Osize__class_Osize' [144, 2] (w:1, o:198, a:1, s:1, b:0),
% 1.45/1.78 'class_Lattices_Olattice' [148, 1] (w:1, o:155, a:1, s:1, b:0),
% 1.45/1.78 'class_Lattices_Olower__semilattice' [149, 1] (w:1, o:156, a:1, s:1
% 1.45/1.78 , b:0),
% 1.45/1.78 'class_Ring__and__Field_Osemiring__1' [150, 1] (w:1, o:157, a:1, s:1
% 1.45/1.78 , b:0),
% 10.24/10.62 'c_COMBI' [152, 2] (w:1, o:204, a:1, s:1, b:0),
% 10.24/10.62 'c_COMBK' [155, 4] (w:1, o:223, a:1, s:1, b:0),
% 10.24/10.62 'class_OrderedGroup_Olordered__ab__group__add__meet' [156, 1] (w:1
% 10.24/10.62 , o:105, a:1, s:1, b:0),
% 10.24/10.62 'c_Natural_Oevalc' [164, 3] (w:1, o:212, a:1, s:1, b:0),
% 10.24/10.62 'c_Com_Ocom_OSKIP' [170, 0] (w:1, o:67, a:1, s:1, b:0),
% 10.24/10.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [173, 1]
% 10.24/10.62 (w:1, o:117, a:1, s:1, b:0),
% 10.24/10.62 'c_Com_Ocom_Ocom__size' [174, 1] (w:1, o:158, a:1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Osemiring' [175, 1] (w:1, o:159, a:1, s:1, b:
% 10.24/10.62 0),
% 10.24/10.62 'class_Ring__and__Field_Opordered__cancel__semiring' [176, 1] (w:1
% 10.24/10.62 , o:160, a:1, s:1, b:0),
% 10.24/10.62 'class_OrderedGroup_Ocancel__ab__semigroup__add' [177, 1] (w:1, o:118
% 10.24/10.62 , a:1, s:1, b:0),
% 10.24/10.62 'class_OrderedGroup_Ocancel__semigroup__add' [178, 1] (w:1, o:119, a:
% 10.24/10.62 1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Opordered__ring__abs' [181, 1] (w:1, o:161
% 10.24/10.62 , a:1, s:1, b:0),
% 10.24/10.62 'c_List_Odrop' [183, 3] (w:1, o:222, a:1, s:1, b:0),
% 10.24/10.62 'class_OrderedGroup_Oab__semigroup__idem__mult' [184, 1] (w:1, o:120
% 10.24/10.62 , a:1, s:1, b:0),
% 10.24/10.62 'c_nat_Onat__size' [185, 1] (w:1, o:162, a:1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Oordered__comm__semiring__strict' [186, 1]
% 10.24/10.62 (w:1, o:147, a:1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Opordered__semiring' [187, 1] (w:1, o:163, a:
% 10.24/10.62 1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Omult__mono' [188, 1] (w:1, o:164, a:1, s:1
% 10.24/10.62 , b:0),
% 10.24/10.62 'class_Ring__and__Field_Omult__mono1' [189, 1] (w:1, o:165, a:1, s:1
% 10.24/10.62 , b:0),
% 10.24/10.62 'c_Fun_Oid' [191, 2] (w:1, o:205, a:1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Ozero__neq__one' [192, 1] (w:1, o:166, a:1
% 10.24/10.62 , s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Ono__zero__divisors' [193, 1] (w:1, o:126, a:
% 10.24/10.62 1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Omult__zero' [194, 1] (w:1, o:125, a:1, s:1
% 10.24/10.62 , b:0),
% 10.24/10.62 'class_Ring__and__Field_Oring__1__no__zero__divisors' [195, 1] (w:1
% 10.24/10.62 , o:97, a:1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Oring__no__zero__divisors' [196, 1] (w:1, o:
% 10.24/10.62 98, a:1, s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Ocomm__ring' [197, 1] (w:1, o:138, a:1, s:1
% 10.24/10.62 , b:0),
% 10.24/10.62 'class_OrderedGroup_Oab__semigroup__mult' [199, 1] (w:1, o:121, a:1
% 10.24/10.62 , s:1, b:0),
% 10.24/10.62 'class_Ring__and__Field_Ocomm__semiring' [200, 1] (w:1, o:140, a:1
% 10.24/10.62 , s:1, b:0),
% 10.24/10.62 'class_OrderedGroup_Omonoid__add' [201, 1] (w:1, o:122, a:1, s:1, b:0
% 10.24/10.62 ),
% 10.24/10.62 'c_Nitpick_Onat__gcd' [202, 2] (w:1, o:199, a:1, s:1, b:0),
% 10.24/10.62 'c_String_Ochar_Ochar__size' [203, 1] (w:1, o:88, a:1, s:1, b:0),
% 10.24/10.62 'tc_String_Ochar' [204, 0] (w:1, o:72, a:1, s:1, b:0),
% 10.24/10.62 't_a' [205, 0] (w:1, o:73, a:1, s:1, b:0),
% 10.24/10.62 'v_x' [206, 0] (w:1, o:74, a:1, s:1, b:0),
% 10.24/10.62 'c_Natural_Oevaln' [207, 4] (w:1, o:224, a:1, s:1, b:0),
% 10.24/10.62 'c_Natural_Osko__Natural__Xevaln__max2__1__1' [212, 6] (w:1, o:226
% 10.24/10.62 , a:1, s:1, b:0),
% 10.24/10.62 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [215, 4] (w:1
% 10.24/10.62 , o:225, a:1, s:1, b:0),
% 10.24/10.62 'c_Com_Ocom_OBODY' [216, 1] (w:1, o:167, a:1, s:1, b:0),
% 10.24/10.62 'v_P' [218, 0] (w:1, o:77, a:1, s:1, b:0),
% 10.24/10.62 'v_Q' [220, 0] (w:1, o:78, a:1, s:1, b:0),
% 10.24/10.62 't_b' [221, 0] (w:1, o:79, a:1, s:1, b:0),
% 10.24/10.62 hAPP [222, 2] (w:1, o:206, a:1, s:1, b:0),
% 10.24/10.62 'v_xa' [223, 0] (w:1, o:80, a:1, s:1, b:0),
% 10.24/10.62 hBOOL [224, 1] (w:1, o:168, a:1, s:1, b:0),
% 10.24/10.62 'v_pn' [225, 0] (w:1, o:81, a:1, s:1, b:0),
% 10.24/10.62 'v_xb' [226, 0] (w:1, o:82, a:1, s:1, b:0).
% 10.24/10.62
% 10.24/10.62
% 10.24/10.62 Starting Search:
% 10.24/10.62
% 10.24/10.62 Resimplifying inuse:
% 10.24/10.62 Done
% 10.24/10.62
% 10.24/10.62
% 10.24/10.62 Intermediate Status:
% 10.24/10.62 Generated: 4217
% 10.24/10.62 Kept: 2000
% 10.24/10.62 Inuse: 154
% 10.24/10.62 Deleted: 2
% 10.24/10.62 Deletedinuse: 0
% 10.24/10.62
% 10.24/10.62 Resimplifying inuse:
% 10.24/10.62 Done
% 10.24/10.62
% 10.24/10.62 Resimplifying inuse:
% 10.24/10.62 Done
% 10.24/10.62
% 10.24/10.62
% 10.24/10.62 Intermediate Status:
% 10.24/10.62 Generated: 9672
% 10.24/10.62 Kept: 4036
% 10.24/10.62 Inuse: 277
% 10.24/10.62 Deleted: 4
% 10.24/10.62 Deletedinuse: 0
% 10.24/10.62
% 10.24/10.62 Resimplifying inuse:
% 10.24/10.62 Done
% 10.24/10.62
% 10.24/10.62
% 10.24/10.62 Intermediate Status:
% 10.24/10.62 Generated: 14863
% 10.24/10.62 Kept: 6493
% 10.24/10.62 Inuse: 333
% 10.24/10.62 Deleted: 6
% 10.24/10.62 Deletedinuse: 0
% 10.24/10.62
% 10.24/10.62 Resimplifying inuse:
% 10.24/10.62 Done
% 10.24/10.62
% 10.24/10.62 Resimplifying inuse:
% 10.24/10.62 Done
% 10.24/10.62
% 10.24/10.62
% 10.24/10.62 Intermediate Status:
% 10.24/10.62 Generated: 21620
% 10.24/10.62 Kept: 8507
% 10.24/10.62 Inuse: 370
% 10.24/10.62 Deleted: 6
% 10.24/10.62 Deletedinuse: 0
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 26785
% 33.94/34.29 Kept: 10531
% 33.94/34.29 Inuse: 445
% 33.94/34.29 Deleted: 6
% 33.94/34.29 Deletedinuse: 0
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 34330
% 33.94/34.29 Kept: 12552
% 33.94/34.29 Inuse: 504
% 33.94/34.29 Deleted: 6
% 33.94/34.29 Deletedinuse: 0
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 39732
% 33.94/34.29 Kept: 14566
% 33.94/34.29 Inuse: 541
% 33.94/34.29 Deleted: 8
% 33.94/34.29 Deletedinuse: 2
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 47801
% 33.94/34.29 Kept: 16899
% 33.94/34.29 Inuse: 587
% 33.94/34.29 Deleted: 12
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 52719
% 33.94/34.29 Kept: 18902
% 33.94/34.29 Inuse: 638
% 33.94/34.29 Deleted: 14
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying clauses:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 62281
% 33.94/34.29 Kept: 20912
% 33.94/34.29 Inuse: 657
% 33.94/34.29 Deleted: 572
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 67991
% 33.94/34.29 Kept: 23025
% 33.94/34.29 Inuse: 710
% 33.94/34.29 Deleted: 572
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 76066
% 33.94/34.29 Kept: 25035
% 33.94/34.29 Inuse: 739
% 33.94/34.29 Deleted: 572
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 83270
% 33.94/34.29 Kept: 27075
% 33.94/34.29 Inuse: 779
% 33.94/34.29 Deleted: 573
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 90139
% 33.94/34.29 Kept: 29093
% 33.94/34.29 Inuse: 831
% 33.94/34.29 Deleted: 577
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 97728
% 33.94/34.29 Kept: 31137
% 33.94/34.29 Inuse: 885
% 33.94/34.29 Deleted: 577
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 108046
% 33.94/34.29 Kept: 33164
% 33.94/34.29 Inuse: 943
% 33.94/34.29 Deleted: 579
% 33.94/34.29 Deletedinuse: 3
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 117117
% 33.94/34.29 Kept: 35176
% 33.94/34.29 Inuse: 974
% 33.94/34.29 Deleted: 580
% 33.94/34.29 Deletedinuse: 4
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 129285
% 33.94/34.29 Kept: 37205
% 33.94/34.29 Inuse: 1018
% 33.94/34.29 Deleted: 582
% 33.94/34.29 Deletedinuse: 6
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 137232
% 33.94/34.29 Kept: 39225
% 33.94/34.29 Inuse: 1043
% 33.94/34.29 Deleted: 582
% 33.94/34.29 Deletedinuse: 6
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying clauses:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 147467
% 33.94/34.29 Kept: 41561
% 33.94/34.29 Inuse: 1062
% 33.94/34.29 Deleted: 1303
% 33.94/34.29 Deletedinuse: 7
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 157255
% 33.94/34.29 Kept: 43564
% 33.94/34.29 Inuse: 1079
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 164857
% 33.94/34.29 Kept: 45591
% 33.94/34.29 Inuse: 1115
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 171931
% 33.94/34.29 Kept: 47675
% 33.94/34.29 Inuse: 1122
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 184176
% 33.94/34.29 Kept: 51041
% 33.94/34.29 Inuse: 1130
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 198575
% 33.94/34.29 Kept: 53747
% 33.94/34.29 Inuse: 1147
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 209224
% 33.94/34.29 Kept: 56676
% 33.94/34.29 Inuse: 1152
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 215503
% 33.94/34.29 Kept: 58817
% 33.94/34.29 Inuse: 1182
% 33.94/34.29 Deleted: 1326
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying clauses:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 225227
% 33.94/34.29 Kept: 61005
% 33.94/34.29 Inuse: 1197
% 33.94/34.29 Deleted: 2222
% 33.94/34.29 Deletedinuse: 30
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29 Resimplifying inuse:
% 33.94/34.29 Done
% 33.94/34.29
% 33.94/34.29
% 33.94/34.29 Intermediate Status:
% 33.94/34.29 Generated: 233399
% 33.94/34.29 Kept: 63030
% 83.26/83.63 Inuse: 1232
% 83.26/83.63 Deleted: 2222
% 83.26/83.63 Deletedinuse: 30
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 240458
% 83.26/83.63 Kept: 65063
% 83.26/83.63 Inuse: 1265
% 83.26/83.63 Deleted: 2223
% 83.26/83.63 Deletedinuse: 30
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 246615
% 83.26/83.63 Kept: 67102
% 83.26/83.63 Inuse: 1291
% 83.26/83.63 Deleted: 2223
% 83.26/83.63 Deletedinuse: 30
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 258267
% 83.26/83.63 Kept: 69613
% 83.26/83.63 Inuse: 1311
% 83.26/83.63 Deleted: 2235
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 269644
% 83.26/83.63 Kept: 72292
% 83.26/83.63 Inuse: 1346
% 83.26/83.63 Deleted: 2235
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 276943
% 83.26/83.63 Kept: 74393
% 83.26/83.63 Inuse: 1366
% 83.26/83.63 Deleted: 2235
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 284722
% 83.26/83.63 Kept: 76695
% 83.26/83.63 Inuse: 1391
% 83.26/83.63 Deleted: 2235
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 313554
% 83.26/83.63 Kept: 79494
% 83.26/83.63 Inuse: 1396
% 83.26/83.63 Deleted: 2235
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 343727
% 83.26/83.63 Kept: 82301
% 83.26/83.63 Inuse: 1401
% 83.26/83.63 Deleted: 2235
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying clauses:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 354840
% 83.26/83.63 Kept: 84306
% 83.26/83.63 Inuse: 1424
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 364803
% 83.26/83.63 Kept: 86340
% 83.26/83.63 Inuse: 1442
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 379821
% 83.26/83.63 Kept: 90987
% 83.26/83.63 Inuse: 1456
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 392975
% 83.26/83.63 Kept: 93374
% 83.26/83.63 Inuse: 1476
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 402263
% 83.26/83.63 Kept: 95377
% 83.26/83.63 Inuse: 1509
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 416132
% 83.26/83.63 Kept: 98296
% 83.26/83.63 Inuse: 1536
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 426311
% 83.26/83.63 Kept: 100322
% 83.26/83.63 Inuse: 1565
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 437203
% 83.26/83.63 Kept: 102411
% 83.26/83.63 Inuse: 1591
% 83.26/83.63 Deleted: 2858
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying clauses:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 448113
% 83.26/83.63 Kept: 104446
% 83.26/83.63 Inuse: 1615
% 83.26/83.63 Deleted: 3189
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 468683
% 83.26/83.63 Kept: 106588
% 83.26/83.63 Inuse: 1631
% 83.26/83.63 Deleted: 3189
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 480080
% 83.26/83.63 Kept: 108616
% 83.26/83.63 Inuse: 1658
% 83.26/83.63 Deleted: 3189
% 83.26/83.63 Deletedinuse: 42
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 488259
% 83.26/83.63 Kept: 110652
% 83.26/83.63 Inuse: 1676
% 83.26/83.63 Deleted: 3191
% 83.26/83.63 Deletedinuse: 44
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 498354
% 83.26/83.63 Kept: 112693
% 83.26/83.63 Inuse: 1700
% 83.26/83.63 Deleted: 3191
% 83.26/83.63 Deletedinuse: 44
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 506855
% 83.26/83.63 Kept: 114696
% 83.26/83.63 Inuse: 1718
% 83.26/83.63 Deleted: 3191
% 83.26/83.63 Deletedinuse: 44
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 518951
% 83.26/83.63 Kept: 117111
% 83.26/83.63 Inuse: 1751
% 83.26/83.63 Deleted: 3191
% 83.26/83.63 Deletedinuse: 44
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63 Resimplifying inuse:
% 83.26/83.63 Done
% 83.26/83.63
% 83.26/83.63
% 83.26/83.63 Intermediate Status:
% 83.26/83.63 Generated: 527783
% 83.26/83.63 Kept: 119151
% 83.26/83.63 Inuse: 1780
% 83.26/83.63 Deleted: 3192
% 83.26/83.63 Deletedinuse: 44
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 538663
% 162.40/162.83 Kept: 121234
% 162.40/162.83 Inuse: 1810
% 162.40/162.83 Deleted: 3192
% 162.40/162.83 Deletedinuse: 44
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 564376
% 162.40/162.83 Kept: 124313
% 162.40/162.83 Inuse: 1820
% 162.40/162.83 Deleted: 3192
% 162.40/162.83 Deletedinuse: 44
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying clauses:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 577461
% 162.40/162.83 Kept: 126344
% 162.40/162.83 Inuse: 1833
% 162.40/162.83 Deleted: 3696
% 162.40/162.83 Deletedinuse: 45
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 589047
% 162.40/162.83 Kept: 128368
% 162.40/162.83 Inuse: 1859
% 162.40/162.83 Deleted: 3696
% 162.40/162.83 Deletedinuse: 45
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 605059
% 162.40/162.83 Kept: 131280
% 162.40/162.83 Inuse: 1880
% 162.40/162.83 Deleted: 3696
% 162.40/162.83 Deletedinuse: 45
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 615234
% 162.40/162.83 Kept: 133350
% 162.40/162.83 Inuse: 1905
% 162.40/162.83 Deleted: 3696
% 162.40/162.83 Deletedinuse: 45
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 625028
% 162.40/162.83 Kept: 135377
% 162.40/162.83 Inuse: 1943
% 162.40/162.83 Deleted: 3697
% 162.40/162.83 Deletedinuse: 45
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 636762
% 162.40/162.83 Kept: 137413
% 162.40/162.83 Inuse: 1953
% 162.40/162.83 Deleted: 3698
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 656580
% 162.40/162.83 Kept: 139907
% 162.40/162.83 Inuse: 1964
% 162.40/162.83 Deleted: 3698
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 674520
% 162.40/162.83 Kept: 141930
% 162.40/162.83 Inuse: 1972
% 162.40/162.83 Deleted: 3698
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 699437
% 162.40/162.83 Kept: 145098
% 162.40/162.83 Inuse: 1999
% 162.40/162.83 Deleted: 3698
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying clauses:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 735859
% 162.40/162.83 Kept: 150253
% 162.40/162.83 Inuse: 2009
% 162.40/162.83 Deleted: 3960
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 755391
% 162.40/162.83 Kept: 152651
% 162.40/162.83 Inuse: 2014
% 162.40/162.83 Deleted: 3960
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 775771
% 162.40/162.83 Kept: 156054
% 162.40/162.83 Inuse: 2019
% 162.40/162.83 Deleted: 3960
% 162.40/162.83 Deletedinuse: 46
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 798068
% 162.40/162.83 Kept: 158060
% 162.40/162.83 Inuse: 2030
% 162.40/162.83 Deleted: 3962
% 162.40/162.83 Deletedinuse: 48
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 807273
% 162.40/162.83 Kept: 160077
% 162.40/162.83 Inuse: 2053
% 162.40/162.83 Deleted: 3963
% 162.40/162.83 Deletedinuse: 49
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 817382
% 162.40/162.83 Kept: 162082
% 162.40/162.83 Inuse: 2081
% 162.40/162.83 Deleted: 3963
% 162.40/162.83 Deletedinuse: 49
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.83 Generated: 833319
% 162.40/162.83 Kept: 164128
% 162.40/162.83 Inuse: 2109
% 162.40/162.83 Deleted: 3963
% 162.40/162.83 Deletedinuse: 49
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying inuse:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83 Resimplifying clauses:
% 162.40/162.83 Done
% 162.40/162.83
% 162.40/162.83
% 162.40/162.83 Intermediate Status:
% 162.40/162.84 Generated: 858472
% 162.40/162.84 Kept: 166145
% 162.40/162.84 Inuse: 2128
% 162.40/162.84 Deleted: 5449
% 162.40/162.84 Deletedinuse: 50
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84
% 162.40/162.84 Intermediate Status:
% 162.40/162.84 Generated: 869201
% 162.40/162.84 Kept: 168173
% 162.40/162.84 Inuse: 2151
% 162.40/162.84 Deleted: 5453
% 162.40/162.84 Deletedinuse: 54
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84
% 162.40/162.84 Intermediate Status:
% 162.40/162.84 Generated: 883660
% 162.40/162.84 Kept: 170477
% 162.40/162.84 Inuse: 2175
% 162.40/162.84 Deleted: 5459
% 162.40/162.84 Deletedinuse: 60
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84
% 162.40/162.84 Intermediate Status:
% 162.40/162.84 Generated: 906245
% 162.40/162.84 Kept: 173901
% 162.40/162.84 Inuse: 2185
% 162.40/162.84 Deleted: 5460
% 162.40/162.84 Deletedinuse: 61
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84
% 162.40/162.84 Intermediate Status:
% 162.40/162.84 Generated: 924281
% 162.40/162.84 Kept: 176495
% 162.40/162.84 Inuse: 2200
% 162.40/162.84 Deleted: 5460
% 162.40/162.84 Deletedinuse: 61
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84
% 162.40/162.84 Intermediate Status:
% 162.40/162.84 Generated: 937440
% 162.40/162.84 Kept: 178743
% 162.40/162.84 Inuse: 2230
% 162.40/162.84 Deleted: 5460
% 162.40/162.84 Deletedinuse: 61
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84 Resimplifying inuse:
% 162.40/162.84 Done
% 162.40/162.84
% 162.40/162.84
% 162.40/162.84 Intermediate Status:
% 263.24/263.69 Generated: 954780
% 263.24/263.69 Kept: 180886
% 263.24/263.69 Inuse: 2253
% 263.24/263.69 Deleted: 5467
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 984179
% 263.24/263.69 Kept: 183985
% 263.24/263.69 Inuse: 2258
% 263.24/263.69 Deleted: 5467
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying clauses:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 997697
% 263.24/263.69 Kept: 186238
% 263.24/263.69 Inuse: 2278
% 263.24/263.69 Deleted: 7079
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1018382
% 263.24/263.69 Kept: 189912
% 263.24/263.69 Inuse: 2298
% 263.24/263.69 Deleted: 7079
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1045772
% 263.24/263.69 Kept: 194286
% 263.24/263.69 Inuse: 2313
% 263.24/263.69 Deleted: 7079
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1067028
% 263.24/263.69 Kept: 197670
% 263.24/263.69 Inuse: 2318
% 263.24/263.69 Deleted: 7079
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1107446
% 263.24/263.69 Kept: 200733
% 263.24/263.69 Inuse: 2328
% 263.24/263.69 Deleted: 7079
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1148380
% 263.24/263.69 Kept: 203939
% 263.24/263.69 Inuse: 2338
% 263.24/263.69 Deleted: 7079
% 263.24/263.69 Deletedinuse: 66
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying clauses:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1171442
% 263.24/263.69 Kept: 206325
% 263.24/263.69 Inuse: 2352
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1183025
% 263.24/263.69 Kept: 208375
% 263.24/263.69 Inuse: 2372
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1194991
% 263.24/263.69 Kept: 210419
% 263.24/263.69 Inuse: 2390
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1212133
% 263.24/263.69 Kept: 212869
% 263.24/263.69 Inuse: 2407
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1226602
% 263.24/263.69 Kept: 214882
% 263.24/263.69 Inuse: 2418
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1240049
% 263.24/263.69 Kept: 216925
% 263.24/263.69 Inuse: 2440
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1250203
% 263.24/263.69 Kept: 218935
% 263.24/263.69 Inuse: 2457
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1261878
% 263.24/263.69 Kept: 221074
% 263.24/263.69 Inuse: 2477
% 263.24/263.69 Deleted: 7438
% 263.24/263.69 Deletedinuse: 73
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1275219
% 263.24/263.69 Kept: 223595
% 263.24/263.69 Inuse: 2499
% 263.24/263.69 Deleted: 7439
% 263.24/263.69 Deletedinuse: 74
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1300853
% 263.24/263.69 Kept: 225606
% 263.24/263.69 Inuse: 2524
% 263.24/263.69 Deleted: 7444
% 263.24/263.69 Deletedinuse: 79
% 263.24/263.69
% 263.24/263.69 Resimplifying clauses:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1309859
% 263.24/263.69 Kept: 227722
% 263.24/263.69 Inuse: 2542
% 263.24/263.69 Deleted: 8116
% 263.24/263.69 Deletedinuse: 82
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1322638
% 263.24/263.69 Kept: 230186
% 263.24/263.69 Inuse: 2562
% 263.24/263.69 Deleted: 8116
% 263.24/263.69 Deletedinuse: 82
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1333535
% 263.24/263.69 Kept: 232207
% 263.24/263.69 Inuse: 2577
% 263.24/263.69 Deleted: 8116
% 263.24/263.69 Deletedinuse: 82
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1348773
% 263.24/263.69 Kept: 234333
% 263.24/263.69 Inuse: 2597
% 263.24/263.69 Deleted: 8116
% 263.24/263.69 Deletedinuse: 82
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1364987
% 263.24/263.69 Kept: 236369
% 263.24/263.69 Inuse: 2614
% 263.24/263.69 Deleted: 8116
% 263.24/263.69 Deletedinuse: 82
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate Status:
% 263.24/263.69 Generated: 1386013
% 263.24/263.69 Kept: 238406
% 263.24/263.69 Inuse: 2641
% 263.24/263.69 Deleted: 8116
% 263.24/263.69 Deletedinuse: 82
% 263.24/263.69
% 263.24/263.69 Resimplifying inuse:
% 263.24/263.69 Done
% 263.24/263.69
% 263.24/263.69
% 263.24/263.69 Intermediate StatCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------