TSTP Solution File: ALG379-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG379-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Thu Jul 14 12:10:37 EDT 2022
% Result : Timeout 300.02s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG379-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Wed Jun 8 10:46:41 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.93/1.33 *** allocated 10000 integers for termspace/termends
% 0.93/1.33 *** allocated 10000 integers for clauses
% 0.93/1.33 *** allocated 10000 integers for justifications
% 0.93/1.33 *** allocated 15000 integers for termspace/termends
% 0.93/1.33 *** allocated 22500 integers for termspace/termends
% 0.93/1.33 Bliksem 1.12
% 0.93/1.33
% 0.93/1.33
% 0.93/1.33 Automatic Strategy Selection
% 0.93/1.33
% 0.93/1.33 Clauses:
% 0.93/1.33 [
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.33 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.93/1.33 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.93/1.33 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_Suc'( X ), 'tc_nat' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.93/1.33 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.93/1.33 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_g____'( X ),
% 0.93/1.33 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.33 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.33 X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.93/1.33 Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.93/1.33 X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.33 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.93/1.33 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.93/1.33 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.93/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.33 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.93/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.93/1.33 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.93/1.33 , X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.93/1.33 , X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.93/1.33 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.93/1.33 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.93/1.33 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.93/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.93/1.33 X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.93/1.33 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.93/1.33 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.33 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.93/1.33 X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.93/1.33 X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.93/1.33 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.93/1.33 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.33 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.33 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.33 T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.33 X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.33 T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.33 X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.33 X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.93/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.93/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 0.93/1.33 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.33 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.93/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.93/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.93/1.33 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.93/1.33 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.93/1.33 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.93/1.33 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.93/1.33 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_RealDef_Oreal'( 'c_Suc'( X ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.93/1.33 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.93/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.33 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.93/1.33 X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.93/1.33 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.93/1.33 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.93/1.33 X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.93/1.33 X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.33 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.93/1.33 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.93/1.33 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.33 ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.33 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.93/1.33 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.93/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.93/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.33 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.33 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 0.93/1.33 ) ) ), =( X, Y ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.33 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.33 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.33 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.93/1.33 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.93/1.33 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.33 , X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.93/1.33 , X ), T, X ), W, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.93/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.93/1.33 X ) ) ), =( Y, T ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ),
% 0.93/1.33 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.93/1.33 X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.93/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.93/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.33 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 0.93/1.33 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.93/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.93/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.93/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.93/1.33 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.93/1.33 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.93/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.93/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.93/1.33 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.93/1.33 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.93/1.33 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.93/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.93/1.33 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.93/1.33 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.93/1.33 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.93/1.33 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.93/1.33 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.33 , X ), W, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.33 'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xth__1'( X, 'v_p', 'v_r',
% 0.93/1.33 'v_s____' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'(
% 0.93/1.33 'c_Suc'( X ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.93/1.33 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.93/1.33 =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.33 , X ), Z, X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.93/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.93/1.33 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.93/1.33 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , Y, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , Z, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , Z, X ), X ) ],
% 0.93/1.33 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.93/1.33 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.93/1.33 ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.93/1.33 ), Y ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.33 ), X ), Y ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.93/1.33 , 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.33 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.93/1.33 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.93/1.33 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Oof__real'( 'v_r', X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'v_r', 'c_HOL_Oone__class_Oone'( X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.93/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.93/1.33 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.93/1.33 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.33 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.33 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.33 , T, X ), X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.93/1.33 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , Z, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.93/1.33 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , Z, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.93/1.33 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , T, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , T, X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.33 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.93/1.33 W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.93/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.93/1.33 , X ), T, X ), W, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.93/1.33 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.93/1.33 W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.93/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.33 , X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.93/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.93/1.33 Z, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.33 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.93/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.93/1.33 X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.33 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.33 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.93/1.33 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.93/1.34 ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.93/1.34 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.93/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.93/1.34 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.34 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.93/1.34 X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.34 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.93/1.34 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.93/1.34 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , U, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.93/1.34 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.34 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.93/1.34 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.34 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.34 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.93/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.93/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.93/1.34 , 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.93/1.34 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.34 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, T, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.93/1.34 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.93/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.93/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.93/1.34 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.34 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.34 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.93/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.93/1.34 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.93/1.34 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.93/1.34 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.93/1.34 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.34 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.93/1.34 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.93/1.34 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.34 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.93/1.34 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.93/1.34 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.93/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.93/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.93/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.93/1.34 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 Y, X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xs1__1'( 'v_p', 'v_r', X ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____'
% 0.93/1.34 , 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_p', 'v_g____'( X ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_Suc'( X ), 'tc_nat' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.93/1.34 X, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'v_sko__local__Xmth2__1'( 'v_p', 'v_r' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.93/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.34 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'v_sko__local__Xs1__1'( 'v_p', 'v_r', X ), 'tc_Complex_Ocomplex' ), 'v_r'
% 0.93/1.34 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ), X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.93/1.34 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.93/1.34 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.93/1.34 X, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'v_s____', 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.93/1.34 'v_sko__local__Xs__2'( 'v_p', 'v_r', X ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'v_sko__local__Xs__1'( 'v_p', 'v_r', X ), 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, 'v_s____', 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.93/1.34 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.93/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Z, X ), X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'v_sko__local__Xs__1'( 'v_p', 'v_r', X )
% 0.93/1.34 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, 'v_s____',
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.34 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.93/1.34 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.34 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Y, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.34 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Y, X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'v_sko__local__Xs__2'( 'v_p', 'v_r', X ), 'tc_Complex_Ocomplex' ), 'v_r'
% 0.93/1.34 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, 'v_s____',
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'v_sko__local__Xmth1__2'( 'v_p', 'v_r' ), 'tc_Complex_Ocomplex' ), 'v_r'
% 0.93/1.34 , 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'v_sko__local__Xth__1'( X, 'v_p', 'v_r', 'v_s____' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.93/1.34 'v_sko__local__Xmth1__2'( 'v_p', 'v_r' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'v_sko__local__Xmth1__1'( 'v_p', 'v_r' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.34 , X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.34 , X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_p', 'v_sko__unknown__thm__rcM__1'( 'v_p', 'v_r'
% 0.93/1.34 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_r',
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_p', Y, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), 'v_r',
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.93/1.34 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.93/1.34 Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.93/1.34 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 Z, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', 'v_z____'
% 0.93/1.34 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.93/1.34 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.93/1.34 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.93/1.34 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.93/1.34 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.93/1.34 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ]
% 0.93/1.34 ] .
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34 percentage equality = 0.186633, percentage horn = 0.876360
% 0.93/1.34 This is a problem with some equality
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34 Options Used:
% 0.93/1.34
% 0.93/1.34 useres = 1
% 0.93/1.34 useparamod = 1
% 0.93/1.34 useeqrefl = 1
% 0.93/1.34 useeqfact = 1
% 0.93/1.34 usefactor = 1
% 0.93/1.34 usesimpsplitting = 0
% 0.93/1.34 usesimpdemod = 5
% 0.93/1.34 usesimpres = 3
% 0.93/1.34
% 0.93/1.34 resimpinuse = 1000
% 0.93/1.34 resimpclauses = 20000
% 0.93/1.34 substype = eqrewr
% 0.93/1.34 backwardsubs = 1
% 0.93/1.34 selectoldest = 5
% 0.93/1.34
% 0.93/1.34 litorderings [0] = split
% 0.93/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.93/1.34
% 0.93/1.34 termordering = kbo
% 0.93/1.34
% 0.93/1.34 litapriori = 0
% 0.93/1.34 termapriori = 1
% 0.93/1.34 litaposteriori = 0
% 0.93/1.34 termaposteriori = 0
% 0.93/1.34 demodaposteriori = 0
% 0.93/1.34 ordereqreflfact = 0
% 0.93/1.34
% 0.93/1.34 litselect = negord
% 0.93/1.34
% 0.93/1.34 maxweight = 15
% 0.93/1.34 maxdepth = 30000
% 0.93/1.34 maxlength = 115
% 0.93/1.34 maxnrvars = 195
% 0.93/1.34 excuselevel = 1
% 0.93/1.34 increasemaxweight = 1
% 0.93/1.34
% 0.93/1.34 maxselected = 10000000
% 0.93/1.34 maxnrclauses = 10000000
% 0.93/1.34
% 0.93/1.34 showgenerated = 0
% 0.93/1.34 showkept = 0
% 0.93/1.34 showselected = 0
% 0.93/1.34 showdeleted = 0
% 0.93/1.34 showresimp = 1
% 0.93/1.34 showstatus = 2000
% 0.93/1.34
% 0.93/1.34 prologoutput = 1
% 0.93/1.34 nrgoals = 5000000
% 0.93/1.34 totalproof = 1
% 0.93/1.34
% 0.93/1.34 Symbols occurring in the translation:
% 0.93/1.34
% 0.93/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.34 . [1, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.93/1.34 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 0.93/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.34 'class_Orderings_Oorder' [40, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.93/1.34 'c_lessequals' [44, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.93/1.34 'class_Orderings_Olinorder' [45, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Oordered__field' [48, 1] (w:1, o:65, a:1, s:1
% 0.93/1.34 , b:0),
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero' [49, 1] (w:1, o:71, a:1
% 0.93/1.34 , s:1, b:0),
% 0.93/1.34 'c_HOL_Oinverse__class_Odivide' [51, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.93/1.34
% 0.93/1.34 'c_HOL_Ozero__class_Ozero' [52, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Opordered__ring' [53, 1] (w:1, o:79, a:1, s:1
% 0.93/1.34 , b:0),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes' [54, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Oordered__ring__strict' [55, 1] (w:1, o:73
% 0.93/1.34 , a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Opordered__cancel__semiring' [56, 1] (w:1, o:
% 0.93/1.34 80, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Ofield' [57, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Oone__class_Oone' [58, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.93/1.34 'tc_RealDef_Oreal' [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus' [60, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus' [61, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.93/1.34 'class_Int_Onumber__ring' [62, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Odvd' [63, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Ocomm__ring' [64, 1] (w:1, o:66, a:1, s:1, b:
% 0.96/1.56 0),
% 0.96/1.56 'c_Ring__and__Field_Odvd__class_Odvd' [67, 3] (w:1, o:183, a:1, s:1
% 0.96/1.56 , b:0),
% 0.96/1.56 'c_HOL_Ominus__class_Ominus' [70, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.96/1.56 'c_Suc' [72, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.96/1.56 'tc_nat' [73, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.96/1.56 'c_RealDef_Oreal' [74, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.96/1.56 'class_Divides_Osemiring__div' [75, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.96/1.56 'c_Divides_Odiv__class_Omod' [76, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.96/1.56 'class_OrderedGroup_Opordered__ab__group__add' [77, 1] (w:1, o:89, a:
% 0.96/1.56 1, s:1, b:0),
% 0.96/1.56 'v_r' [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.96/1.56 'c_HOL_Oinverse__class_Oinverse' [81, 2] (w:1, o:168, a:1, s:1, b:0)
% 0.96/1.56 ,
% 0.96/1.56 'class_Ring__and__Field_Odivision__ring' [82, 1] (w:1, o:90, a:1, s:1
% 0.96/1.56 , b:0),
% 0.96/1.56 'class_RealVector_Oreal__algebra__1' [83, 1] (w:1, o:91, a:1, s:1, b:
% 0.96/1.56 0),
% 0.96/1.56 'c_RealVector_Oof__real' [84, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Oordered__semiring__strict' [85, 1] (w:1, o:
% 0.96/1.56 74, a:1, s:1, b:0),
% 0.96/1.56 'class_OrderedGroup_Oab__semigroup__idem__mult' [86, 1] (w:1, o:92
% 0.96/1.56 , a:1, s:1, b:0),
% 0.96/1.56 'c_HOL_Oabs__class_Oabs' [87, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.96/1.56 'v_g____' [88, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.96/1.56 'tc_Complex_Ocomplex' [89, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.96/1.56 'c_RealVector_Onorm__class_Onorm' [90, 2] (w:1, o:169, a:1, s:1, b:0)
% 0.96/1.56 ,
% 0.96/1.56 'class_RealVector_Oreal__vector' [92, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.96/1.56
% 0.96/1.56 'c_RealVector_OscaleR__class_OscaleR' [93, 3] (w:1, o:186, a:1, s:1
% 0.96/1.56 , b:0),
% 0.96/1.56 'class_Ring__and__Field_Oidom' [94, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Omult__mono' [96, 1] (w:1, o:97, a:1, s:1, b:
% 0.96/1.56 0),
% 0.96/1.56 'class_Ring__and__Field_Omult__mono1' [97, 1] (w:1, o:98, a:1, s:1
% 0.96/1.56 , b:0),
% 0.96/1.56 'class_RealVector_Oreal__normed__field' [98, 1] (w:1, o:99, a:1, s:1
% 0.96/1.56 , b:0),
% 0.96/1.56 'class_RealVector_Oreal__normed__vector' [100, 1] (w:1, o:100, a:1
% 0.96/1.56 , s:1, b:0),
% 0.96/1.56 'c_HOL_Osgn__class_Osgn' [101, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.96/1.56 'c_NthRoot_Osqrt' [102, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Oordered__semidom' [103, 1] (w:1, o:75, a:1
% 0.96/1.56 , s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Ocomm__semiring__1' [104, 1] (w:1, o:69, a:1
% 0.96/1.56 , s:1, b:0),
% 0.96/1.56 'class_OrderedGroup_Opordered__ab__group__add__abs' [105, 1] (w:1, o:
% 0.96/1.56 102, a:1, s:1, b:0),
% 0.96/1.56 'c_Transcendental_Ocos' [106, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Oordered__idom' [107, 1] (w:1, o:76, a:1, s:1
% 0.96/1.56 , b:0),
% 0.96/1.56 'class_OrderedGroup_Olordered__ab__group__add' [108, 1] (w:1, o:104
% 0.96/1.56 , a:1, s:1, b:0),
% 0.96/1.56 'class_Ring__and__Field_Opordered__ring__abs' [110, 1] (w:1, o:105
% 0.96/1.56 , a:1, s:1, b:0),
% 0.96/1.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [111, 1]
% 0.96/1.56 (w:1, o:106, a:1, s:1, b:0),
% 0.96/1.56 'class_OrderedGroup_Opordered__ab__semigroup__add' [112, 1] (w:1, o:
% 0.96/1.57 107, a:1, s:1, b:0),
% 0.96/1.57 'class_OrderedGroup_Oab__semigroup__mult' [113, 1] (w:1, o:108, a:1
% 0.96/1.57 , s:1, b:0),
% 0.96/1.57 'class_RealVector_Oreal__normed__algebra' [118, 1] (w:1, o:109, a:1
% 0.96/1.57 , s:1, b:0),
% 0.96/1.57 'class_Ring__and__Field_Ocomm__semiring' [123, 1] (w:1, o:70, a:1, s:
% 0.96/1.57 1, b:0),
% 0.96/1.57 'c_Transcendental_Osin' [124, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.96/1.57 'class_Ring__and__Field_Opordered__semiring' [126, 1] (w:1, o:111, a:
% 0.96/1.57 1, s:1, b:0),
% 0.96/1.57 'class_OrderedGroup_Ogroup__add' [127, 1] (w:1, o:112, a:1, s:1, b:0)
% 0.96/1.57 ,
% 0.96/1.57 'c_Transcendental_Oarctan' [128, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.96/1.57 'class_OrderedGroup_Oab__group__add' [129, 1] (w:1, o:114, a:1, s:1
% 0.96/1.57 , b:0),
% 0.96/1.57 'class_Divides_Oring__div' [130, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.96/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add' [133, 1] (w:1, o:115
% 0.96/1.57 , a:1, s:1, b:0),
% 0.96/1.57 'class_OrderedGroup_Ocancel__semigroup__add' [134, 1] (w:1, o:116, a:
% 0.96/1.57 1, s:1, b:0),
% 0.96/1.57 'class_OrderedGroup_Olordered__ab__group__add__abs' [135, 1] (w:1, o:
% 7.12/7.52 117, a:1, s:1, b:0),
% 7.12/7.52 'class_OrderedGroup_Opordered__comm__monoid__add' [137, 1] (w:1, o:
% 7.12/7.52 118, a:1, s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Ozero__neq__one' [138, 1] (w:1, o:119, a:1
% 7.12/7.52 , s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Osgn__if' [139, 1] (w:1, o:122, a:1, s:1, b:0
% 7.12/7.52 ),
% 7.12/7.52 'class_Ring__and__Field_Oring__no__zero__divisors' [140, 1] (w:1, o:
% 7.12/7.52 120, a:1, s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Ono__zero__divisors' [141, 1] (w:1, o:64, a:1
% 7.12/7.52 , s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Ocomm__ring__1' [142, 1] (w:1, o:67, a:1, s:1
% 7.12/7.52 , b:0),
% 7.12/7.52 'class_Ring__and__Field_Oabs__if' [143, 1] (w:1, o:123, a:1, s:1, b:0
% 7.12/7.52 ),
% 7.12/7.52 'class_Ring__and__Field_Oordered__semiring' [144, 1] (w:1, o:77, a:1
% 7.12/7.52 , s:1, b:0),
% 7.12/7.52 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 7.12/7.52 [148, 2] (w:1, o:173, a:1, s:1, b:0),
% 7.12/7.52 'class_RealVector_Oreal__normed__algebra__1' [149, 1] (w:1, o:124, a:
% 7.12/7.52 1, s:1, b:0),
% 7.12/7.52 'class_RealVector_Oreal__algebra' [150, 1] (w:1, o:125, a:1, s:1, b:0
% 7.12/7.52 ),
% 7.12/7.52 'class_RealVector_Oreal__field' [152, 1] (w:1, o:126, a:1, s:1, b:0)
% 7.12/7.52 ,
% 7.12/7.52 'c_Transcendental_Otan' [153, 1] (w:1, o:127, a:1, s:1, b:0),
% 7.12/7.52 'class_OrderedGroup_Ocomm__monoid__add' [154, 1] (w:1, o:128, a:1, s:
% 7.12/7.52 1, b:0),
% 7.12/7.52 'class_OrderedGroup_Oordered__ab__group__add' [155, 1] (w:1, o:88, a:
% 7.12/7.52 1, s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Oring' [156, 1] (w:1, o:121, a:1, s:1, b:0),
% 7.12/7.52
% 7.12/7.52 'v_p' [157, 0] (w:1, o:49, a:1, s:1, b:0),
% 7.12/7.52 'v_s____' [158, 0] (w:1, o:50, a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xth__1' [159, 4] (w:1, o:192, a:1, s:1, b:0),
% 7.12/7.52 'c_Polynomial_Opoly' [160, 3] (w:1, o:187, a:1, s:1, b:0),
% 7.12/7.52 'c_Complex_Ocnj' [161, 1] (w:1, o:129, a:1, s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Olordered__ring' [163, 1] (w:1, o:96, a:1, s:
% 7.12/7.52 1, b:0),
% 7.12/7.52 'class_OrderedGroup_Omonoid__mult' [164, 1] (w:1, o:130, a:1, s:1, b:
% 7.12/7.52 0),
% 7.12/7.52 'class_OrderedGroup_Ocomm__monoid__mult' [165, 1] (w:1, o:131, a:1
% 7.12/7.52 , s:1, b:0),
% 7.12/7.52 'class_Orderings_Opreorder' [166, 1] (w:1, o:132, a:1, s:1, b:0),
% 7.12/7.52 'class_OrderedGroup_Oab__semigroup__add' [167, 1] (w:1, o:133, a:1
% 7.12/7.52 , s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Omult__zero' [170, 1] (w:1, o:63, a:1, s:1
% 7.12/7.52 , b:0),
% 7.12/7.52 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [171, 1]
% 7.12/7.52 (w:1, o:134, a:1, s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Osemiring' [172, 1] (w:1, o:135, a:1, s:1, b:
% 7.12/7.52 0),
% 7.12/7.52 'class_Ring__and__Field_Oordered__comm__semiring__strict' [173, 1]
% 7.12/7.52 (w:1, o:78, a:1, s:1, b:0),
% 7.12/7.52 'class_OrderedGroup_Omonoid__add' [174, 1] (w:1, o:136, a:1, s:1, b:0
% 7.12/7.52 ),
% 7.12/7.52 'class_RealVector_Oreal__normed__div__algebra' [177, 1] (w:1, o:137
% 7.12/7.52 , a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xs1__1' [178, 3] (w:1, o:188, a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xmth2__1' [179, 2] (w:1, o:176, a:1, s:1, b:0),
% 7.12/7.52 'class_Ring__and__Field_Ocomm__semiring__0' [180, 1] (w:1, o:68, a:1
% 7.12/7.52 , s:1, b:0),
% 7.12/7.52 'c_Polynomial_Opcompose' [182, 3] (w:1, o:189, a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xs__2' [183, 3] (w:1, o:191, a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xs__1' [184, 3] (w:1, o:190, a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xmth1__2' [185, 2] (w:1, o:175, a:1, s:1, b:0),
% 7.12/7.52 'v_sko__local__Xmth1__1' [186, 2] (w:1, o:174, a:1, s:1, b:0),
% 7.12/7.52 'class_Lattices_Oboolean__algebra' [187, 1] (w:1, o:138, a:1, s:1, b:
% 7.12/7.52 0),
% 7.12/7.52 'v_sko__unknown__thm__rcM__1' [188, 2] (w:1, o:177, a:1, s:1, b:0),
% 7.12/7.52 'tc_Polynomial_Opoly' [189, 1] (w:1, o:139, a:1, s:1, b:0),
% 7.12/7.52 'v_z____' [190, 0] (w:1, o:54, a:1, s:1, b:0),
% 7.12/7.52 'class_OrderedGroup_Ocancel__comm__monoid__add' [192, 1] (w:1, o:140
% 7.12/7.52 , a:1, s:1, b:0).
% 7.12/7.52
% 7.12/7.52
% 7.12/7.52 Starting Search:
% 7.12/7.52
% 7.12/7.52 Resimplifying inuse:
% 7.12/7.52 Done
% 7.12/7.52
% 7.12/7.52
% 7.12/7.52 Intermediate Status:
% 7.12/7.52 Generated: 3575
% 7.12/7.52 Kept: 2144
% 7.12/7.52 Inuse: 76
% 7.12/7.52 Deleted: 0
% 7.12/7.52 Deletedinuse: 0
% 7.12/7.52
% 7.12/7.52 Resimplifying inuse:
% 7.12/7.52 Done
% 7.12/7.52
% 7.12/7.52 Resimplifying inuse:
% 7.12/7.52 Done
% 7.12/7.52
% 7.12/7.52
% 7.12/7.52 Intermediate Status:
% 7.12/7.52 Generated: 12532
% 7.12/7.52 Kept: 4163
% 7.12/7.52 Inuse: 161
% 7.12/7.52 Deleted: 0
% 7.12/7.52 Deletedinuse: 0
% 7.12/7.52
% 7.12/7.52 Resimplifying inuse:
% 7.12/7.52 Done
% 7.12/7.52
% 7.12/7.52 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 17889
% 35.74/36.14 Kept: 6242
% 35.74/36.14 Inuse: 221
% 35.74/36.14 Deleted: 0
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 26172
% 35.74/36.14 Kept: 8278
% 35.74/36.14 Inuse: 256
% 35.74/36.14 Deleted: 0
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 36105
% 35.74/36.14 Kept: 10402
% 35.74/36.14 Inuse: 276
% 35.74/36.14 Deleted: 0
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 42189
% 35.74/36.14 Kept: 12428
% 35.74/36.14 Inuse: 325
% 35.74/36.14 Deleted: 0
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 48374
% 35.74/36.14 Kept: 14430
% 35.74/36.14 Inuse: 373
% 35.74/36.14 Deleted: 0
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 53334
% 35.74/36.14 Kept: 16431
% 35.74/36.14 Inuse: 406
% 35.74/36.14 Deleted: 0
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 59178
% 35.74/36.14 Kept: 18483
% 35.74/36.14 Inuse: 450
% 35.74/36.14 Deleted: 1
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying clauses:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 65942
% 35.74/36.14 Kept: 20491
% 35.74/36.14 Inuse: 499
% 35.74/36.14 Deleted: 231
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 74464
% 35.74/36.14 Kept: 22492
% 35.74/36.14 Inuse: 556
% 35.74/36.14 Deleted: 231
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 82145
% 35.74/36.14 Kept: 24536
% 35.74/36.14 Inuse: 608
% 35.74/36.14 Deleted: 231
% 35.74/36.14 Deletedinuse: 0
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 95212
% 35.74/36.14 Kept: 26713
% 35.74/36.14 Inuse: 629
% 35.74/36.14 Deleted: 235
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 105319
% 35.74/36.14 Kept: 29316
% 35.74/36.14 Inuse: 649
% 35.74/36.14 Deleted: 235
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 117521
% 35.74/36.14 Kept: 31408
% 35.74/36.14 Inuse: 684
% 35.74/36.14 Deleted: 235
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 129754
% 35.74/36.14 Kept: 33573
% 35.74/36.14 Inuse: 729
% 35.74/36.14 Deleted: 235
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 154762
% 35.74/36.14 Kept: 37097
% 35.74/36.14 Inuse: 784
% 35.74/36.14 Deleted: 235
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 168220
% 35.74/36.14 Kept: 39260
% 35.74/36.14 Inuse: 818
% 35.74/36.14 Deleted: 235
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying clauses:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 184717
% 35.74/36.14 Kept: 41283
% 35.74/36.14 Inuse: 828
% 35.74/36.14 Deleted: 636
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 195800
% 35.74/36.14 Kept: 43517
% 35.74/36.14 Inuse: 874
% 35.74/36.14 Deleted: 636
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 215341
% 35.74/36.14 Kept: 46176
% 35.74/36.14 Inuse: 907
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 234574
% 35.74/36.14 Kept: 49183
% 35.74/36.14 Inuse: 932
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 250892
% 35.74/36.14 Kept: 51677
% 35.74/36.14 Inuse: 942
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 260380
% 35.74/36.14 Kept: 53678
% 35.74/36.14 Inuse: 947
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 271598
% 35.74/36.14 Kept: 55890
% 35.74/36.14 Inuse: 972
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 278164
% 35.74/36.14 Kept: 57970
% 35.74/36.14 Inuse: 982
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 35.74/36.14 Done
% 35.74/36.14
% 35.74/36.14
% 35.74/36.14 Intermediate Status:
% 35.74/36.14 Generated: 293046
% 35.74/36.14 Kept: 60254
% 35.74/36.14 Inuse: 1027
% 35.74/36.14 Deleted: 638
% 35.74/36.14 Deletedinuse: 3
% 35.74/36.14
% 35.74/36.14 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying clauses:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 305785
% 101.47/101.88 Kept: 62414
% 101.47/101.88 Inuse: 1052
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 329427
% 101.47/101.88 Kept: 65745
% 101.47/101.88 Inuse: 1087
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 347221
% 101.47/101.88 Kept: 67849
% 101.47/101.88 Inuse: 1102
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 359524
% 101.47/101.88 Kept: 70976
% 101.47/101.88 Inuse: 1107
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 375351
% 101.47/101.88 Kept: 73172
% 101.47/101.88 Inuse: 1117
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 386304
% 101.47/101.88 Kept: 75191
% 101.47/101.88 Inuse: 1132
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 406768
% 101.47/101.88 Kept: 77302
% 101.47/101.88 Inuse: 1182
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 418635
% 101.47/101.88 Kept: 79349
% 101.47/101.88 Inuse: 1207
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 428428
% 101.47/101.88 Kept: 81380
% 101.47/101.88 Inuse: 1217
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 435519
% 101.47/101.88 Kept: 84781
% 101.47/101.88 Inuse: 1222
% 101.47/101.88 Deleted: 906
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying clauses:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 447887
% 101.47/101.88 Kept: 86907
% 101.47/101.88 Inuse: 1250
% 101.47/101.88 Deleted: 1111
% 101.47/101.88 Deletedinuse: 3
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 467728
% 101.47/101.88 Kept: 92176
% 101.47/101.88 Inuse: 1267
% 101.47/101.88 Deleted: 1116
% 101.47/101.88 Deletedinuse: 5
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 474686
% 101.47/101.88 Kept: 94365
% 101.47/101.88 Inuse: 1284
% 101.47/101.88 Deleted: 1116
% 101.47/101.88 Deletedinuse: 5
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 488845
% 101.47/101.88 Kept: 96404
% 101.47/101.88 Inuse: 1295
% 101.47/101.88 Deleted: 1116
% 101.47/101.88 Deletedinuse: 5
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 520355
% 101.47/101.88 Kept: 100612
% 101.47/101.88 Inuse: 1324
% 101.47/101.88 Deleted: 1116
% 101.47/101.88 Deletedinuse: 5
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 533964
% 101.47/101.88 Kept: 105935
% 101.47/101.88 Inuse: 1349
% 101.47/101.88 Deleted: 1116
% 101.47/101.88 Deletedinuse: 5
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying clauses:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 544580
% 101.47/101.88 Kept: 107960
% 101.47/101.88 Inuse: 1359
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 553504
% 101.47/101.88 Kept: 110267
% 101.47/101.88 Inuse: 1379
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 562504
% 101.47/101.88 Kept: 112301
% 101.47/101.88 Inuse: 1404
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 584924
% 101.47/101.88 Kept: 114752
% 101.47/101.88 Inuse: 1409
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 599655
% 101.47/101.88 Kept: 116759
% 101.47/101.88 Inuse: 1435
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 617314
% 101.47/101.88 Kept: 119573
% 101.47/101.88 Inuse: 1444
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 629351
% 101.47/101.88 Kept: 121583
% 101.47/101.88 Inuse: 1461
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 642908
% 101.47/101.88 Kept: 123636
% 101.47/101.88 Inuse: 1469
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88
% 101.47/101.88 Intermediate Status:
% 101.47/101.88 Generated: 651826
% 101.47/101.88 Kept: 125705
% 101.47/101.88 Inuse: 1489
% 101.47/101.88 Deleted: 1502
% 101.47/101.88 Deletedinuse: 7
% 101.47/101.88
% 101.47/101.88 Resimplifying clauses:
% 101.47/101.88 Done
% 101.47/101.88
% 101.47/101.88 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 662872
% 259.83/260.30 Kept: 127936
% 259.83/260.30 Inuse: 1519
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 673543
% 259.83/260.30 Kept: 130269
% 259.83/260.30 Inuse: 1544
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 682020
% 259.83/260.30 Kept: 132361
% 259.83/260.30 Inuse: 1564
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 695536
% 259.83/260.30 Kept: 138026
% 259.83/260.30 Inuse: 1579
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 703718
% 259.83/260.30 Kept: 140051
% 259.83/260.30 Inuse: 1602
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 713091
% 259.83/260.30 Kept: 142285
% 259.83/260.30 Inuse: 1629
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 722952
% 259.83/260.30 Kept: 144292
% 259.83/260.30 Inuse: 1655
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 739566
% 259.83/260.30 Kept: 147338
% 259.83/260.30 Inuse: 1674
% 259.83/260.30 Deleted: 1814
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying clauses:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 749579
% 259.83/260.30 Kept: 150081
% 259.83/260.30 Inuse: 1679
% 259.83/260.30 Deleted: 2357
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 758622
% 259.83/260.30 Kept: 152141
% 259.83/260.30 Inuse: 1699
% 259.83/260.30 Deleted: 2357
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 773466
% 259.83/260.30 Kept: 156669
% 259.83/260.30 Inuse: 1719
% 259.83/260.30 Deleted: 2357
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 792207
% 259.83/260.30 Kept: 160466
% 259.83/260.30 Inuse: 1729
% 259.83/260.30 Deleted: 2357
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 802444
% 259.83/260.30 Kept: 162511
% 259.83/260.30 Inuse: 1750
% 259.83/260.30 Deleted: 2357
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 815958
% 259.83/260.30 Kept: 165915
% 259.83/260.30 Inuse: 1764
% 259.83/260.30 Deleted: 2357
% 259.83/260.30 Deletedinuse: 7
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying clauses:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 825571
% 259.83/260.30 Kept: 167971
% 259.83/260.30 Inuse: 1779
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 838268
% 259.83/260.30 Kept: 169991
% 259.83/260.30 Inuse: 1809
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 857589
% 259.83/260.30 Kept: 173187
% 259.83/260.30 Inuse: 1834
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 867687
% 259.83/260.30 Kept: 175426
% 259.83/260.30 Inuse: 1859
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 880644
% 259.83/260.30 Kept: 177459
% 259.83/260.30 Inuse: 1891
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 891911
% 259.83/260.30 Kept: 179544
% 259.83/260.30 Inuse: 1919
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 909824
% 259.83/260.30 Kept: 181877
% 259.83/260.30 Inuse: 1954
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 928121
% 259.83/260.30 Kept: 185452
% 259.83/260.30 Inuse: 1974
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 940998
% 259.83/260.30 Kept: 187703
% 259.83/260.30 Inuse: 1994
% 259.83/260.30 Deleted: 3758
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying clauses:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30
% 259.83/260.30 Intermediate Status:
% 259.83/260.30 Generated: 966437
% 259.83/260.30 Kept: 194103
% 259.83/260.30 Inuse: 2014
% 259.83/260.30 Deleted: 4686
% 259.83/260.30 Deletedinuse: 8
% 259.83/260.30
% 259.83/260.30 Resimplifying inuse:
% 259.83/260.30 Done
% 259.83/260.30
% 259.83/260.30 ResimplifyinCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------